CSEC PAST PAPERS
with SOLUTIONS
Mathematics
Paper 1
2005-2020
AFFIX SEAL HERE
CANDIDATE –PLEASE NOTE!
You must sign below and return this booklet with the
Answer Sheet. Failure to do so may result in
disqualification.
FORM TP 2007104
TEST CODE 01234010
MAY/JUNE 2005
______________________________
Signature
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 – General Proficiency
90 minutes
26 MAY 2005 (p.m.)
READ THE FOLLOWING DIRECTIONS CAREFULLY
1. In addition to this test booklet, you should have an answer sheet.
2. Calculators and mathematical tables may NOT be used for this paper.
3. A list of formulae is provided on page 2 of this booklet.
4. This test consists of 60 items. You will have 90 minutes to answer them.
7104
5. Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are
about to answer, and decide which choice is best.
the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
AFFIX SEAL HERE
6. On your answer sheet, find the number which corresponds to your item and blacken the space having
2a  6 a 
(A)
(B)
(C)
(D)
Sample Answer
8a
8a 2
12a
12a 2
B
C
D
The best answer to this item is “8a”, so answer space (A) has been blackened.
7. If you want to change your answer, erase your old answer completely and fill in your new choice.
8. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot
Answer an item, omit it and go on to the next one. You can return later to the item omitted. Your score
will be the total number of correct answers.
9. You may do any rough work in the booklet.
10. Do not be concerned that the answer sheet provides spaces for more answers than there are items
in this test.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
01234010/F 2005
Copyright © 2004 Caribbean Examinations Council ®.
All rights reserved.
AFFIX SEAL HERE
Page 2
LIST OF FORMULAE
Volume of a prism
V  Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V   r 2 h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
V 
Circumference
C  2 r where r is the radius of the circle.
Area of a circle
A   r 2 where r is the radius of the circle.
Area of Trapezium
A
1
Ah where A is the area of the base and h is the perpendicular height.
3
1
 a  b  h where a and b are the lengths of the parallel sides and h is
2
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax 2  bx  c  0 ,
then x 
Trigonometric ratios
Area of triangle
b  b 2  4ac
2a
sin 

opposite side
hypotenuse
cos 

adjacent side
hypotenuse
tan 

opposite side
adjacent side
Area of
 12 bh where b is the length of the base and h is the
perpendicular height
Area of
 ABC  12 ab sin C
Area of
ABC 
where s 
s ( s  a )( s  b)( s  c)
abc
2
Sine rule
a
b
c


sin A sin B sin C
Cosine rule
a 2  b 2  c 2  2bc cos A
01234010/F 2005
GO ON TO THE NEXT PAGE
-31.
0.875 written as a common fraction is
(A)
(B)
(C)
(D)
2.
4.
3.140
3.141
3.146
3.150
8.
0.0002
0.0005
5000
20 000
9.
0.02316
0.2316
2.313
23.16
If $350 is divided into two portions in the ratio
2 : 5 , the smaller portion is
(A)
(B)
(C)
(D)
$ 70
$100
$175
$250
01234010/F 2005
(A)
(B)
1
(C)
(D)
12
60
2 tenths
2 ones
2 tens
2 hundreds
99  101 is the same as
(B)
(C)
(D)
10.
3
The value of the digit 2 in 425.3 is
(A)
0.386  0.06 
30
54
150
180
The H.C.F. of 12, 15 and 60 is
(A)
(B)
(C)
(D)
2
(A)
(B)
(C)
(D)
5.
7.
The EXACT value of 2   0.01 is
(A)
(B)
(C)
(D)
If 60% of a number is 90 , what is the number?
(A)
(B)
(C)
(D)
The number 3.14063 written correct to
3 decimal places is
(A)
(B)
(C)
(D)
3.
1
4
1
2
3
4
7
8
6.
 99 100   1
 99  100    99  1
 99  100    99 1
 99 100  99 1
What is the least number of plums that can be
shared equally among 6, 9 or 12 children?
(A)
(B)
(C)
(D)
27
36
54
72
GO ON TO THE NEXT PAGE
11.
-4If P  2,3,5, 7 , Q  2,3, 6 and S  2, 4,5 , 13.
then P  Q  S 
(A)
(B)
(C)
(D)
12.

2 
2,3
2,3, 4,5, 6, 7
In the Venn diagram above, n  P   5 ,
n  Q   9 and n  P  Q   10 .
U  Integers
What is n  P  Q  ?
P  Positive Integers
N   Negative Integers
(A)
(B)
(C)
(D)
Which of the Venn diagrams below illustrates the
statement:
4
6
14
24
“No positive integers are negative integers” ?
14.
(A)
The two circles above represent set P and set Q .
If P  Factors of 6 and Q  Factors of 4 ,
(B)
then the shaded region represents
(A)
(B)
(C)
(C)
(D)

1, 2
4, 6,8,...
12, 24,36,...
(D)
01234010/F 2005
GO ON TO THE NEXT PAGE
15.
-519.
The simple interest on $400 at 5% per annum
for 2 years is given by
(A)
(B)
(C)
(D)
16.
5%
15%
20%
25%
The sum of
(A)
(B)
(C)
(D)
18.
(A)
(B)
(C)
(D)
20.
(A)
(B)
(C)
(D)
$ 11.00
$ 20.20
$101.00
$110.00
01234010/F 2005
two dollars and seventy cents in
the value of US $4.50 in EC currency?
(A)
(B)
(C)
(D)
21.
2
5
3
5
5
6
A salesman is paid 5% of his sales as
commission. His sales for last month were
$2020 . How much commission was he paid?
The exchange rate for one United States dollar
Eastern Caribbean currency ( EC $2.70 ) What is
1
1
and is
2
3
7
6
$56.00
$53.00
$47.00
$44.00
(US $1.00 ) is
A man bought a calf for $200 and sold it for
$250 . What was his gain as a percentage of the
cost price?
(A)
(B)
(C)
(D)
17.
400 × 5 × 2
100
400 × 5
$
2 × 100
400 × 2
$
5 × 100
400 × 100
$
2×5
$
How much does a customer pay for an article
marked at $50.00 if a sales tax of 6% is
charged?
22.
$ 1.67
$ 6.00
$ 7.20
$ 12.15
If the simple interest on $800 for 3 years is
$54 . What is the rate of interest per annum?
(A)
44%
(B)
5%
(C)
2¼%
(D)
4
%
9
Mary invested $200 for 3 years at 5% per
annum. John invested $300 at the same rate. If
they both received the same amount of money in
interest, for how many years did John invest his
money?
(A)
(B)
(C)
(D)
1½
2
3
10
GO ON TO THE NEXT PAGE
-623.
8a 
(C)
16a 2
64a 2
(C)
(D)
(C)
(D)
30.
11y
2x  6 y
6x  7 y
20 x  11 y
31.
3x 2  2 x3 
(A)
(B)
(C)
(D)
If m * n 
6
3
(C)
15
6
If 50  3 x  x  26 , then x 
(A)
(B)
(C)
(D)
$4x
$6x
$( x  4)
(D)
$(2 x  4)
3a ( a  2b)  b(2a  3b) 
(C)
(D)
3a 2  ab  3b2
3a 2  4ab  3b 2
3a 2  4ab  3b2
3a 2  8ab  3b 2
Which of the following represents the equation of
a straight line?
mn  n 2 , then 5*3 
(B)
(D)
6
6
5
9
5
9
(A)
(B)
(C)
(B)
32.
m2
, when m  3 ,then P 
2m
Althea saves $x each month; but in June she
saved $4 more than twice her regular amount. In
June she saved
(A)
6x5
5x 5
6x 6
72x 5
(A)
28.
(B)
5  2x  y   2 3 y  5x  
(B)
27.
24ab
 11ab
11ab
24ab
If P 
(A)
 8a    3b  
(A)
26.
29.
16a
64a
(A)
(B)
(C)
(D)
25.

(A)
(B)
(D)
24.
2
4
x
(A)
y
(B)
y  x2  4
(C)
y  2x  3
(D)
y  x2  2 x  5
12
6
6
19
01234010/F 2005
GO ON TO THE NEXT PAGE
-733.
If
(A)
(B)
(C)
(D)
f ( x)  x  x 1, then f (5) 
2
34.
31
29
24
31
The arrow diagram above shows a function.
Which of the following BEST describes the
function?
(A)
(B)
(C)
(D)
f ( x)  x  3
f ( x)  y  3
x  y3
yx
__________________________________________________
Item 35 refers to the graph below
35.
Using the graph above, the values of x
when y  1 are
(A)
(B)
(C)
(D)
01234010/F 2005
1 and -1
2.5 and -2.5
2.8 and -2.8
2.2 and -2.2
GO ON TO THE NEXT PAGE
36.
What is the gradient of the straight line
2 y = −3x − 8 ?
(A)
(B)
-838.
−3
−3
2
(C)
2
(D)
3
The diagram above shows the line PQ . The
gradient of the line PQ is given by
37.
Which of the following does NOT represent the
graph of a function?
(A)
(B)
39.
(A)
b−d
c−a
(B)
c−a
b−d
(C)
a−c
b−d
(D)
b−d
a−c
The volume of a cube of edge 10 cm is
(A)
(B)
(C)
(C)
(D)
30 cm3
100 cm3
300 cm3
1000 cm3
(D)
01234010/F 2005
GO ON TO THE NEXT PAGE
40.
-943.
How many kilometers will a car travel in t hours
at a rate of v km per hour?
(A)
(B)
(C)
(D)
tv
v
t
t
v
v
60t
(A)
(B)
(C)
(D)
44.
41.
On leaving Trinidad, the time on a pilot’s watch
was 23 : 00 h. when he arrived at his destination
in the same time zone, the next day, his watch
showed 03 : 00 h. How many hours did the flight
take?
16
20
26
An aircraft leaves A at 16 : 00 h and arrives at B at
19 : 30 h, the same day, travelling at an average
speed of 550 kilometers per hour. A and B are in
the same time zone. The distance from A to B in
kilometers is about
(A)
(B)
(C)
(D)
The figure above, not drawn to scale, shows a
sector of a circle centre O . The length of the
minor arc PQ is 8 cm. What is the length of the
4
907.5
962.5
1815
1925
circumference of the circle?
45.
(A)
(B)
(C)
(D)
42.
16 cm
A cylindrical bar of soap 5 cm thick has a volume
24 cm
of 200 cm3 . A uniform slice 3 cm thick is taken
away. What volume of the soap remains?
48 cm
64 cm
(A)
The distance around the edge of a circular pond
is 88 m. The radius, in metres is
(B)
(C)
(D)
(A)
88
(B)
176
88

88
2
(C)
(D)
01234010/F 2005
80 cm3
120 cm3
300 cm3
400 cm 3
GO ON TO THE NEXT PAGE
- 10 48.
46.
The highest weekly wage of a group of
employees is $105.40 . If the range of the wages
is $27.50 , how much does the lowest paid
employee receive?
(A)
(B)
(C)
(D)
$ 105.40
$ 77.90
$ 66.45
$ 27.50
Item 49 refers to the following table.
Length of
Leaf (cm)
Frequency
The bar chart above shows the ages of children
who took part in a survey.
47.
5
15
75
87
Each of the letters in the word ‘CHANCE’ is
written on a slip of paper and one slip is
randomly drawn. What is the probability of
drawing a letter ‘C’?
(A)
1
6
49.
3
8
The beginning and end points of the class interval
10  14 are
(A)
(B)
(C)
(D)
50.
9 and 14
9.5 and 14
9.5 and 14.5
10 and 15
A boy throws a die twice. What is the probability
that he will get a '3' followed by an even
number?
1
12
(B)
1
5
(A)
(B)
(C)
1
3
1
4
(C)
(D)
2
3
5
12
(D)
7
12
01234010/F 2005
15-19
The lengths of 15 cabbage leaves were measured,
to the nearest cm, and the information grouped as
shown in the table above.
How many children took part in the survey?
(A)
(B)
(C)
(D)
10-14
GO ON TO THE NEXT PAGE
- 11 Items 52-53 refer to the diagram below.
51.
AC and DE are straight lines intersecting at B
.
Angle DBA  58o
The pie chart above shows the preference in
drinks of a group of students. If 12 students
prefer chocolate, then the total number of
students in the group is
(A)
(B)
(C)
(D)
52.
The measure of angle ABE is
(A)
(B)
48
72
180
360
(C)
(D)
53.
Which of the following angles are equal?
(A)
(B)
(C)
(D)
01234010/F 2005
302o
142o
122o
58o
DBC and CBE
CBE and ABE
ABD and CBD
ABD and CBE
GO ON TO THE NEXT PAGE
54.
Use the diagram below to answer item 54.
- 12 55.
The triangle LMN above is rotated through an
angle of 90 o in a clockwise direction about L .
What is its image?
(A)
54.
The translation by which AB is mapped to
A ' B ' is represented by
(A)
(B)
(C)
(D)
(B)
1
 
1
 2
 
1
 3
 
 2
 5
 
 3
(C)
(D)
01234010/F 2005
GO ON TO THE NEXT PAGE
-13 Item 56 refers to the graph below
56.
The point A is shown on the diagram above.
What are the co-ordinates of the reflection of
A in the y  axis ?
(A)
(B)
(C)
(D)
01234010/F 2005
( 4,3)
(4, 3)
(3, 4)
( 3, 4)
GO ON TO THE NEXT PAGE
Item 57 refers to the diagram below.
- 14 59.
The diagram above, not drawn to scale, shows
that the angle of depression of a point X from Z
57.
is 30 o . If X is 10 metres from Y , the height of
YZ , in metres, is
In the figure above, the line CD is
the image of AB after a
(A)
(A)
(B)
a rotation through 90 o centre O
(C)
(B)
(C)
(D)
(D)
an enlargement of scale factor -1
 4 
a translation by vector  8 
 
a reflection in the y  axis
58.
60.
10sin 30o
10 tan 30o
10 cos 30o
10 cos 60o
In a triangle ABC , angle A  x o and angle
B  2 x o ,. What is the size of angle C ?
(B)
45o
60o
(C)
(180  3x)o
(D)
 180 


 3x 
(A)
o
In the right-angled triangle above, tan  is
(A)
(B)
(C)
(D)
5
13
5
12
12
5
13
5
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/F 2005
AFFIX SEAL HERE
CANDIDATE –PLEASE NOTE!
You must sign below and return this booklet with the
Answer Sheet. Failure to do so may result in
disqualification.
FORM TP 2007104
TEST CODE 01234010
MAY/JUNE 2006
______________________________
Signature
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 – General Proficiency
90 minutes
25 MAY 2006 (p.m.)
READ THE FOLLOWING DIRECTIONS CAREFULLY
1. In addition to this test booklet, you should have an answer sheet.
2. Calculators and mathematical tables may NOT be used for this paper.
3. A list of formulae is provided on page 2 of this booklet.
4. This test consists of 60 items. You will have 90 minutes to answer them.
7104
5. Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are
about to answer, and decide which choice is best.
the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
AFFIX SEAL HERE
6. On your answer sheet, find the number which corresponds to your item and blacken the space having
2a  6 a 
(A)
(B)
(C)
(D)
Sample Answer
8a
8a 2
12a
12a 2
B
C
D
The best answer to this item is “8a”, so answer space (A) has been blackened.
7. If you want to change your answer, erase your old answer completely and fill in your new choice.
8. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot
Answer an item, omit it and go on to the next one. You can return later to the item omitted. Your score
will be the total number of correct answers.
9. You may do any rough work in the booklet.
10. Do not be concerned that the answer sheet provides spaces for more answers than there are items
in this test.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
01234010/F 2006
Copyright © 2005 Caribbean Examinations Council ®.
All rights reserved.
AFFIX SEAL HERE
Page 2
LIST OF FORMULAE
Volume of a prism
V  Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V   r 2 h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
V
Circumference
C  2 r where r is the radius of the circle.
Area of a circle
A   r 2 where r is the radius of the circle.
Area of Trapezium
A
1
Ah where A is the area of the base and h is the perpendicular height.
3
1
 a  b  h where a and b are the lengths of the parallel sides and h is
2
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax  bx  c  0 ,
2
then x 
Trigonometric ratios
Area of triangle
b  b 2  4ac
2a
sin 

opposite side
hypotenuse
cos 

adjacent side
hypotenuse
tan 

opposite side
adjacent side
Area of
 12 bh where b is the length of the base and h is the
perpendicular height
Area of
ABC  12 ab sin C
Area of
 ABC 
where s 
s ( s  a )( s  b )( s  c )
abc
2
Sine rule
a
b
c


sin A sin B sin C
Cosine rule
a 2  b2  c 2  2bc cos A
01234010/F 2006
GO ON TO THE NEXT PAGE
-31.
2
3
5 4 
5
7
(A)
(B)
(C)
(D)
2.
3.
5
35
6
9
35
12
9
35
29
9
35
9
What percentage of 340 is 425?
(A)
(B)
(C)
(D)
Item 4 refers to the following diagram
4.
80%
85%
125%
152%
In scientific notation, 170.04 is written as
(A)
(B)
(C)
(D)
0.17004  10 3
1.7004 102
17.004  101
1.7004 101
The fraction of the circle which has been shaded
is
(A)
5
24
(B)
8
24
(C)
(D)
5.
There are 40 students in a class. Girls make up
60% of the class. 25% of the girls wear glasses.
How many girls in the class wear glasses?
(A)
(B)
(C)
(D)
01234010/F 2006
15
24
19
24
6
8
10
15
GO ON TO THE NEXT PAGE
-46.
7.
(A)
$ 80
(B)
(C)
(D)
$240
$280
$360
In the Venn diagram above, the shaded area
represents
(A)
(B)
P'
( P  Q) '
(C)
Q P'
Q P'
(D)
12.
P and Q are two finite sets such that n( P )  7 ,
n(Q )  5 and n( P  Q )  3 . What is n( P  Q ) ?
(A)
(B)
(C)
(D)
9
18
90
1080
6
9
15
18
Item 13 refers to the following diagram.
301 can be written as
(A)
(B)
(C)
(D)
10.
0, 1, 2
3, 4, 6
6, 8, 12
12, 24, 36
What is the HIGHEST common factor of the
numbers {54, 72, 90}?
(A)
(B)
(C)
(D)
9.
11.
The first three common multiples of 3, 4 and 6
are:
(A)
(B)
(C)
(D)
8.
Item 11 refers to the following Venn diagram.
If $560 is shared in the ratio 2 : 3 : 9 , the
difference between the largest and the smallest
shares is
3 102  1
3103 1
3 102  110
3 103  110
By the distributive law,
49 17  49  3 
(A)
(B)
(C)
(D)
49  20
52  66
49  20
52  66
01234010/F 2006
13.
The two circles above represent set P and set Q.
If P  Factors of 6 and Q  Factors of 4 ,
then the shaded region represents
(A)
(B)
(C)
(D)

1, 2
4, 6,8,...
12, 24, 36,...
GO ON TO THE NEXT PAGE
14.
U  Integers
-515.
P  Positive integers
N   Negative integers
If p sweets are sold for q cents, then one sweet is
sold for
(A)
Which of the Venn diagrams below illustrates the
statement:
(B)
(C)
“No positive integers are negative integers” ?
(D)
p
cents
q
pq cents
q
cents
p
 q  p  cents
(A)
16.
1
3 % of $500 is
4
(A)
(B)
(C)
(D)
(B)
17.
(C)
Susan bought a calculator for $120. She had to
pay a sales tax of 10% on the price. How much
change would she receive from $140?
(A)
(B)
(C)
(D)
(D)
18.
$ 8.00
$12.00
$28.00
$32.00
$600 invested at simple interest for 2 years earns
$96. What is the rate of interest per annum?
(A)
(B)
01234010/F 2006
$ 1.62
$15.52
$16.00
$16.25
1
%
8
1
3 %
8
(C)
8%
(D)
1
12 %
2
GO ON TO THE NEXT PAGE
19.
-6A plot of land is valued at $18 000. Land tax is 23.
charged at the rate of $0.70 per $100 value. What
is the TOTAL amount of tax paid for the land?
(A)
(B)
(C)
(D)
$110.00
$126.00
$180.70
$257.15
If 2( y  4)  16 then y 
(A)
(B)
(C)
(D)
4
6
10
12
Item 24 refers to the expansion below.
20.
A customer buys a table on hire purchase. He
makes a deposit of $306 and pays six monthly
instalments of $60 each. The TOTAL cost to the
customer is
(A)
(B)
(C)
(D)
21.
Mary invested $200 for 3 years at 5% per
annum. John invested $300 at the same rate. If
they both received the same amount of money in
simple interest, for how many years did John
invest his money?
(A)
(B)
(C)
(D)
22.
$360
$366
$666
$966
( x  a)( x  b)  x2  (a  b) x  ab
24.
(A)
(B)
(C)
(D)
25.
2
3
10
26.
2
3
2x
4x
The expression 2( x  4) is the same as
(A)
(B)
(C)
(D)
1½
A company employs 12 gardeners at $26 per day,
and 8 clerks at $17 per day. What is the mean
daily wage, in dollars, of the 20 employees?
The middle term in the expansion of
( x  3)( x  1) is
2 x  8
2 x  4
2 x  4
2 x  8
If m * n  mn  n 2 , then 5*3 
6
(A)
(A)
(B)
(C)
(D)
$20.00
$21.50
$22.40
$31.50
01234010/F 2006
(B)
3
(C)
15
6
(D)
GO ON TO THE NEXT PAGE
27.
If 15  225 , then the square root of 0.0225 is
2
-731.
The sides of a triangle are x cm, ( x  1) cm and
( x  2) cm. IF the perimeter is 31 cm, then the
28.
29.
(A)
(B)
(C)
(D)
0.015
0.15
1.5
15.0
Given,
(A)
(B)
(C)
(D)
2 x  3  9 the range of values of x is
(A)
(B)
(C)
(D)
x3
x3
x6
x6
32.
When 6 is added to a number and the sum is
divided by three, the result is four. This statement
written in mathematical symbols is
(A)
(B)
(C)
(D)
30.
SHORTEST side is
6 x
3
6
3
x4
6 x
3
6
x
3

33.
The diagram below shows a cylinder with
diameter 6 cm and height 20 cm.
3
4
The volume, in cm3, of the cylinder is
(A)
(B)
(C)
(D)
x5
x5
2x  5
2x  5
34.
180
240
360
720
The distance around the edge of a circular pond
is 88 m. The radius, in metres, is
(A)
(B)
(C)
(D)
01234010/F 2006
10.5  m  10.7
10.55  m  10.64
10.59  m  10.69
10.55  m  10.65
4
John has x marbles and Max has twice as many.
Max gives Tom 5 of his marbles. How many
marbles does Max now have?
(A)
(B)
(C)
(D)
The mass, in kg, of a bag of rice is given as
10.6 kg correct to 1 decimal place. The range of
values in which the actual mass lies is
(A)
(B)
(C)
(D)
4
9
10
11
12
176
88
88

88
2
GO ON TO THE NEXT PAGE
Item 35 refers to the following diagram
35.
-837.
AOB is a sector of a circle such that angle
AOB  720 and OB is r units long. The area
of AOB is
(A)
(B)
(C)
(D)
1
r
5
2
r
5
1 2
r
5
2 2
r
5
38.
The circumference of a circle is 132 cm. Given
22
the radius of the circle is
that,  
7
(A)
42
(B)
21
(C)
42
(D)
21
Which of the figures below has an area equal to
1
 3  4  5 square units?
2
(A)
(B)
Item 36 refers to the following diagram.
(C)
(D)
36.
In the figure above, O is the centre of a circle of
radius 10 cm and angle AOB is 36o. What is the
length, in cm, of the arc AB?
(A)
(B)
(C)
(D)
2
4
20
24
01234010/F 2006
GO ON TO THE NEXT PAGE
39.
40.
-942.
A man leaves home at 22 :15 hrs and reaches
his destination, in the same time zone, at
04 : 00 hrs on the following day. How many
hours did the journey take?
(A)
5
(B)
5
(C)
6
(D)
6
(A)
(B)
(C)
(D)
3
4
1
4
2
8
3
4
5
6
6
3
8
9
10
2
43.
2
7
8
10
Items 41-42 refer to the diagram below showing
the number of persons who listen to Radio
Stations A, B, C and D during the week.
10
15
4
7
8
8
1
4
The median of the eight scores presented above is
(A)
(B)
(C)
(D)
The range of scores is
(A)
(B)
(C)
(D)
Station B
Station A
Station C
Station D
Item 43 refers to the scores below.
The table below shows the frequency of scores
obtained by students in a test.
Scores
Students
Which station had as many listeners during the
week as the mean number of listeners for the four
stations during the week?
44.
4
7.25
7.50
8
Here are 4 sets of numbers
I.
II.
III.
IV.
{1, 2, 6}
{2, 4, 6}
{1, 2, 5, 6, 7}
{10, 11, 12, 13, 14}
For which set(s) of numbers are the mean and
median the same?
(A)
(B)
(C)
(D)
41.
I only
II and IV only
I, II and III only
II, III, IV only
Which two stations together have more than
1500 listeners during the week?
(A)
(B)
(C)
(D)
A and B
A and D
C and D
B and D
01234010/F 2006
GO ON TO THE NEXT PAGE
Item 45 refers to the diagram below
- 10 48.
Which arrow diagram below shows the relation
“is 3 less than”?
(A)
(B)
45.
The pie chart shows the popular games played by
720 students. How many students play cricket?
(A)
(B)
(C)
(D)
46.
35
120
252
300
(C)
Which of the following represents the equation of
a straight line?
(A)
y  2x  3
(B)
y
(C)
y  x2  4
(D)
y  x  2x  5
4
x
2
Item 47 refers to the graph below
47.
(D)
49.
Which of the following points lies on the line
y  2x  3 ?
(A)
(2, 3)
(B)
(2, 1)
(C)
(4,1)
(D)
(0, 3)
The straight line AB cuts the Y axis at
(A)
(B)
(C)
(D)
(0,3)
(0, 2)
(3, 2)
(0, 2)
01234010/F 2006
GO ON TO THE NEXT PAGE
- 11 Item 50 refers to the following diagram.
Item 52 refers to the diagram below.
A C and D E are straight lines intersecting at B .
Angle DBA  58o
50.
The diagram above shows a graph. If a, b and c
are constants and a  0 , the equation of the graph
could be
(A)
(B)
(C)
(D)
52.
y  ax 2  c
y  c  ax 2
y  ax 2  bx  c
y  c  bx  ax 2
Item 51 below shows that the coordinate axes
divide the xy-plane into 4 quadrants.
A point ( x, y) lies in the fourth quadrant if
(A)
(B)
(C)
(D)
x  0 and y  0
x  0 and y  0
x  0 and y  0
x  0 and y  0
01234010/F 2006
(A)
58 o
(B)
122o
(C)
142o
(D)
302o
Item 53 refers to the cuboid below.
53.
51.
The measure of angle ABE is
The number of faces, edges and vertices of the
cuboid, written as an ordered triple of numbers, is
(A)
(B)
(C)
(D)
(6, 6, 6)
(6, 8, 8)
(6, 12, 8)
(6, 12, 12)
GO ON TO THE NEXT PAGE
-12 54.
Item 55 refers to the diagram below.
A ship sailed 8 km due east from A to B. It
then sailed 6 km due north to C. Which diagram
below BEST represents the path of the ship?
(A)
(B)
55.
Line AB is rotated through 90o clockwise about
the point C.
The coordinates of A ' , the image of A are
(C)
(A)
(1,1)
(B)
(1, 2)
(C)
(1, 4)
(D)
(2, 2)
Item 56 refers to the diagram below.
(D)
56.
AB is parallel to EC .Calculate BDE
(A)
(B)
(C)
(D)
01234010/F 2006
40o
50o
140o
180o
GO ON TO THE NEXT PAGE
- 13 Item 57 refers to the diagram below.
57.
Item 59 refers to the following diagram.
The value of tan(180o  x o ) is equal to
(A)
(B)
(C)
(D)
a/b
b/c
a/c
b/a
59.
From the diagram above, sin  is
(A)
Item 58 refers to the diagram of a building
below.
(B)
A boy stands 12 metres from the foot of the
building and observes the angle of elevation of
the top of the building.
3
5
3
4
(C)
4
(D)
5
3
5
Item 60 refers to the following diagram.
58.
The height of the building is approximately
(A)
(B)
(C)
(D)
12 tan 40o
1.6  12sin 40o
1.6  12 cos 40o
1.6  12 tan 40 o
60.
In the figure above, ABC is a triangle in which
AD  BD  CD .
The angle ABC is
(A)
40o
(B)
50o
(C)
80o
(D)
90o
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/F 2006
AFFIX SEAL HERE
CANDIDATE –PLEASE NOTE!
You must sign below and return this booklet with the
Answer Sheet. Failure to do so may result in
disqualification.
FORM TP 2007104
TEST CODE 01234010
MAY/JUNE 2007
______________________________
Signature
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 – General Proficiency
90 minutes
24 MAY 2007 (p.m.)
READ THE FOLLOWING DIRECTIONS CAREFULLY
1. In addition to this test booklet, you should have an answer sheet.
2. Calculators and mathematical tables may NOT be used for this paper.
3. A list of formulae is provided on page 2 of this booklet.
4. This test consists of 60 items. You will have 90 minutes to answer them.
7104
5. Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are
about to answer, and decide which choice is best.
the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
AFFIX SEAL HERE
6. On your answer sheet, find the number which corresponds to your item and blacken the space having
2a  6 a 
(A)
(B)
(C)
(D)
Sample Answer
8a
8a 2
12a
12a 2
B
C
D
The best answer to this item is “8a”, so answer space (A) has been blackened.
7. If you want to change your answer, erase your old answer completely and fill in your new choice.
8. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot
Answer an item, omit it and go on to the next one. You can return later to the item omitted. Your score
will be the total number of correct answers.
9. You may do any rough work in the booklet.
10. Do not be concerned that the answer sheet provides spaces for more answers than there are items
in this test.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
01234010/F 2007
Copyright © 2006 Caribbean Examinations Council ®.
All rights reserved.
AFFIX SEAL HERE
Page 2
LIST OF FORMULAE
Volume of a prism
V  Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V   r 2 h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
1
V  Ah where A is the area of the base and h is the perpendicular height.
3
Circumference
C  2 r where r is the radius of the circle.
Area of a circle
A   r 2 where r is the radius of the circle.
Area of Trapezium
A
1
 a  b  h where a and b are the lengths of the parallel sides and h is
2
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax 2  bx  c  0 ,
then x 
Trigonometric ratios
Area of triangle
b  b 2  4ac
2a
sin 

opposite side
hypotenuse
cos

adjacent side
hypotenuse
tan 

opposite side
adjacent side
Area of
 12 bh where b is the length of
the base
and h is the
perpendicular height
ABC  12 ab sin C
Area of  ABC  s ( s  a )( s  b )( s  c )
Area of
where s 
abc
2
Sine rule
a
b
c


sin A sin B sin C
Cosine rule
a 2  b 2  c 2  2bc cos A
01234010/F 2007
GO ON TO THE NEXT PAGE
-31.
 3    2 
2
(A)
 13
(B)
 10
(C)
13
(D)
25
2

6.
(A)
(B)
(C)
(D)
7.
2.
(B)
(C)
(D)
8.
1
9
3
25
1
8
6
50
3
Express 4 as a decimal correct to 3 significant
8
(B)
(C)
(D)
9.
(A)
(B)
(C)
(D)
4.37
4.38
4.40
3076 in standard form is
(A)
(B)
(C)
(D)
3.076  103
3.076  102
3.076 102
3.076 103
01234010/F 2007
10.
3
12
60
1
8
1

6
1
8
1
6

If 3n is an odd number, which of the following
is an even number?
(A)
(B)
(C)
(D)
4.30
1
1
( )3 is the same as
2
(A)
figures
5.
The H.C.F. of 12, 15 and 60 is
(A)
(B)
(C)
(D)
0.015
15
150
1500
Express 0.12 as a fraction in its lowest terms
(A)
4.
30
54
150
180
How many centimetres are there in 1.5 metres?
(A)
(B)
(C)
(D)
3.
If 60% of a number is 90 , what is the number?
3n  2n
3n  2
3n  2
3n  1
The next term in the sequence
1, 6, 13, 22, 33 is
(A)
(B)
(C)
(D)
44
45
46
52
GO ON TO THE NEXT PAGE
-4Item 14 refers to the Venn diagram below.
11.
In the Venn diagram above, the shaded area
represents
P'
(A)
(B)
 P  Q '
(C)
(D)
12.
QP'
QP'
In the Venn diagram above, the two circles
represent set P and set Q. If P  Factors of 6
and Q  Factors of 4 , then the shaded region
represents
If U  1, 3, 5, 6, 8 and A  3, 6 , then the
(A)
number of elements in A ' is
(B)
(A)
(B)
(C)
(D)
13.
14.
2
3
4
8
(C)
(D)
15.
Which of the following sets is equivalent to
a, b, c, d ?
(A)
(B)
(C)
(D)
4
a, b, c
p, q, r, s
1, 2, 3, 4, 5
If TT$6.00 is equivalent to US$1.00 , then
TT$15.00 in U.S. dollars is
(A)
(B)
(C)
(D)
16.
5%
15%
20%
25%
During a sale, a shop allows 20% discount off the
marked price of clothing. What will a customer
pay for a dress with a marked price of $30 ?
(A)
(B)
(C)
(D)
01234010/F 2007
$0.25
$0.40
$2.50
$4.00
A man bought a calf for $200 and sold it for
$250 . What was his gain as a percentage of the
cost price?
(A)
(B)
(C)
(D)
17.

1, 2
4, 6,8,...
12, 24,36,...
$10
$20
$24
$30
GO ON TO THE NEXT PAGE
-5Item 18 refers to the table below.
18.
House Insurance
50¢ per $100
Contents Insurance
25¢ per $100
The above table shows the rates charged by an
insurance company. How much will a person pay
for his insurance, if his house is valued at
$50 000 , and the contents at $10 000 ?
(A)
(B)
(C)
(D)
19.
22.
(A)
(B)
(C)
(D)
23.
24.
20.
$44.00
$47.00
$53.00
$56.00
Mary invested $200 for 3 years at 5% per
annum. John invested $300 at the same rate. If
they both received the same amount of money in
interest, for how many years did John invest his
money?
(B)
1
1
2
2
(C)
3
(D)
10
(A)

(C)
(D)
4
3
4
5  2 x  y   2 3 y  5x  
(A)
(B)
(C)
(D)
26.
b
 1 , then 7*28 
a
1
4
3
(B)
25.
2 x  8
2 x  4
2 x  4
2 x  8
If a * b 
(A)
(A)
(B)
(C)
(D)
$151.25
$165.00
$175.25
$178.75
2( x  4) 
(A)
(B)
(C)
(D)
$225
$275
$450
$500
How much does a customer pay for an article
marked at $50.00 if a sales tax of 6% is
charged?
A man pays 60 cents for every 200 m 3 of gas
used, plus a fixed charge of $13.75 . How much
does he pay when he uses 55000 m3 of gas?
 11y
2x  6 y
5x  7 y
20 x  11 y
For all a and b ,
3a ( a  2b)  b(2a  3b) 
21.
A company employs 12 gardeners at $26 per day,
and 8 clerks at $17 per day. What is the mean
daily wage, in dollars, of the 20 employees?
(A)
(B)
(C)
(D)
$20.00
$21.50
$22.40
$31.50
01234010/F 2007
(A)
(B)
(C)
(D)
3a 2  8ab  3b 2
3a 2  4ab  3b 2
3a 2  4ab  3b2
3a 2  ab  3b 2
GO ON TO THE NEXT PAGE
-627.
4 2
 
5x 5x
(A)
(B)
(C)
(D)
28.
x3
x3
x6
x6
32.
(B)
(C)
(D)
33.
34.
30.
(A)
(B)
(C)
(D)
x2  y 2  0
2x  2 y  0
( y  x) 2  0
2( y  x )  0
01234010/F 2007
0.25
2.5
25
250
The lengths of the sides of a triangle are
x, 2 x and 2 x centimetres . If the perimeter is
20 centimetres , what is the value of x ?
3n  7  22
7n  22  3
3n  22  7
7n  3  22
Which of the following represents the statement
“The difference of two square numbers is
positive”?
30 cm3
100 cm 3
300 cm 3
1000 cm 3
2500 millimetres expressed in metres is
(A)
(B)
(C)
(D)
The statement above may be represented by the
equation
0
8
12
20
The volume of a cube with edges 10 cm is
(A)
“When 7 is added to 3 times a certain number n,
the result is 22”.
(A)
(B)
(C)
(D)
If a  3 and ab  6 , then (a  b)2  a 2  b 2 
(A)
(B)
(C)
(D)
Given 2 x  3  9 , the range of values of x is
(A)
(B)
(C)
(D)
29.
6
25x
8
25x
6
10x
6
5x
31.
(A)
(B)
(C)
(D)
35.
10
8
5
4
A car travels 80 kilometres in 2½ hours.
What is its speed in kilometers per hour?
(A)
(B)
(C)
(D)
6
32
82.5
200
GO ON TO THE NEXT PAGE
Item 36 refers to the diagram below.
-739.
A boy leaves home at 09 :15 hours and arrives at
school at 10 : 05 hours. If he travels non-stop at
an average speed of 6 kmh 1 , how many km is
his home from school?
2 km
5 km
6 km
9 km
(A)
(B)
(C)
(D)
40.
36.
AOB is a sector of a circle such that angle
AOB  60o and OB is r units long. The area
of AOB is
(A)
(B)
(C)
1 2
r
3
(D)
37.
The range of marks was
(A)
(B)
(C)
(D)
1 2
r
6
0.15
1.5
15
150
The area of a rectangle is 53.6 cm 2 . If the
length is multiplied by four and the width is
halved, the area would then be
(A)
(B)
(C)
(D)
26.8 cm 2
53.6 cm 2
107.2 cm 2
214.4 cm 2
01234010/F 2007
11
13
18
19
Item 41 refers to the following table.
Fifty guests each had 2 glasses of champagne.
Each glass held 150 millilitres. How many litres
of champagne were used?
(A)
(B)
(C)
(D)
38.
14, 22, 15, 19,19, 16, 24, 13, 20, 19
1
r
3
1
r
6
The marks obtained by ten students in a test
marked out of 25 were:
Mark
Frequency
Mark x
Frequency
1
2
2
2
3
6
3
5
15
4
4
16
5
x
y
Total
41.
49
The table shows the frequency distribution of the
marks a student obtained on a test. How often did
the student score 5 marks?
(A)
(B)
(C)
(D)
2
5
10
49
GO ON TO THE NEXT PAGE
-8Item 42 refers to the following bar chart
Item 44 refers to the pie-chart below.
44.
42.
The bar chart above shows the number of books
read by the children who took part in a survey.
How many children took part in the survey?
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
5
15
75
87
45.
Item 43 refers to the following table.
43.
The pie chart shows the preference in drinks of
a group of students. If 12 students prefer
chocolate, then the total number of students is
Length of
Leaf (cm)
10-14
15-19
20-24
25-29
Frequency
3
8
12
7
The lengths of 30 cabbage leaves were
measured, to the nearest cm, and the information
grouped as shown in the table above.
A boy throws a die twice. What is the probability
that he will get a three followed by an even
number?
(A)
1
12
(B)
1
4
(C)
5
12
(D)
7
12
The class boundaries are
(A)
(B)
(C)
(D)
3,8,12, 7
5, 5, 5, 5
10,14,15,19, 20, 24, 25, 29
9.5,14.5,19.5, 24.5, 29.5
01234010/F 2007
48
72
180
360
GO ON TO THE NEXT PAGE
Item 46 refers to the arrow diagram below
-949.
1 5 5 11 9 8 5
The median of the set of numbers above is
46.
47.
The arrow diagram above describes the relation
(A)
x is a factor of y
(B)
x is less than y
(C)
x is a multiple of y
(D)
x is greater than y
5
6
8
9
Item 50 refers to the following diagram.
If f ( x)  x 2  x  1 , then f ( 5) 
(A)
(B)
(C)
(D)
48.
(A)
(B)
(C)
(D)
31
29
24
31
Which of the following diagrams illustrates a
function?
50.
(A)
The diagram above shows a graph. If a, b and c
are constants, the equation of the graph could be
(A)
y  ax 2  c
(B)
y  c  ax 2
y  c  bx  ax 2
y  ax 2  bx  c
(C)
(D)
(B)
51.
Which of the following sets is represented by the
relation f : x  x 2  3 ?
(A)
(C)
(B)
(C)
(D)
 0,3 , 1, 4  ,  2, 7  ,  3,12 
 0,3 , 1,5 ,  2,7 ,  3,9
 0,3 , 1, 4  ,  2,5 ,  3, 6 
 0,3 , 1,1 ,  2, 4  ,  3,9 
(D)
01234010/F 2007
GO ON TO THE NEXT PAGE
52.
- 10 A boat was travelling on a bearing of 270 . In 54.
what direction was it travelling?
0
(A)
(B)
(C)
(D)
West
East
North
South
Item 53 refers to the diagram below of a
construction. With centre A , an arc BC is drawn.
With centre B , and the same radius, the arc
PCQ is drawn.
A ship sailed 8 km due east from A to B. It
then sailed 6 km due north to C. Which diagram
below BEST represents the path of the ship?
(A)
(B)
(C)
53.
What is the measure of BAC ?
(A)
(B)
(C)
(D)
30o
45o
60o
75o
(D)
01234010/F 2007
GO ON TO THE NEXT PAGE
55.
- 11 In each of the diagrams shown below, A ' is the
image of A . Which of the following diagrams
shows a reflection in the x-axis?
Item 56 refers to the following diagram.
(A)
(B)
56.
How many triangles congruent to ADE would
be needed to cover the rectangle ABCD entirely?
(A)
(B)
(C)
(D)
2
4
6
8
(C)
Item 57 refers to the following diagram.
(D)
57.
The length, in cm, of AB is
(A)
(B)
(C)
(D)
01234010/F 2007
4
a
a4
a4
GO ON TO THE NEXT PAGE
- 12 Item 59 refers to the following diagram.
58.
The triangle LMN above is rotated in a
clockwise direction about L through an angle of
90 o . What is its image?
(A)
59.
In the diagram above, if the line y  x is rotated
anti-clockwise about O through 90o , what is its
image?
(B)
(A)
y0
(B)
(C)
x0
yx
y  x
(D)
Item 60 refers to the diagram below
(C)
60.
(D)
The diagram above, not drawn to scale, shows
the angle of depression of a point X from Z
is 30o . If X is 10 metres from Y , the height of
YZ , in metres, is
(A)
(B)
(C)
(D)
10 tan 30o
10 sin 30o
10 cos 30o
10 cos 60o
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/F 2007
AFFIX SEAL HERE
CANDIDATE –PLEASE NOTE!
You must sign below and return this booklet with the
Answer Sheet. Failure to do so may result in
disqualification.
FORM TP 2007104
TEST CODE 01234010
MAY/JUNE 2008
______________________________
Signature
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 – General Proficiency
90 minutes
21 MAY 2008 (p.m.)
READ THE FOLLOWING DIRECTIONS CAREFULLY
1. In addition to this test booklet, you should have an answer sheet.
2. Calculators and mathematical tables may NOT be used for this paper.
3. A list of formulae is provided on page 2 of this booklet.
4. This test consists of 60 items. You will have 90 minutes to answer them.
7104
5. Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are
about to answer, and decide which choice is best.
the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
AFFIX SEAL HERE
6. On your answer sheet, find the number which corresponds to your item and blacken the space having
2a  6 a 
(A)
(B)
(C)
(D)
Sample Answer
8a
8a 2
12a
12a 2
B
C
D
The best answer to this item is “8a”, so answer space (A) has been blackened.
7. If you want to change your answer, erase your old answer completely and fill in your new choice.
8. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot
Answer an item, omit it and go on to the next one. You can return later to the item omitted. Your score
will be the total number of correct answers.
9. You may do any rough work in the booklet.
10. Do not be concerned that the answer sheet provides spaces for more answers than there are items
in this test.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
01234010/F 2008
Copyright © 2006 Caribbean Examinations Council ®.
All rights reserved.
AFFIX SEAL HERE
Page 2
LIST OF FORMULAE
Volume of a prism
V  Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V   r 2 h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
1
V  Ah where A is the area of the base and h is the perpendicular height.
3
Circumference
C  2 r where r is the radius of the circle.
Area of a circle
A   r 2 where r is the radius of the circle.
Area of Trapezium
A
1
 a  b  h where a and b are the lengths of the parallel sides and h is
2
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax 2  bx  c  0 ,
then x 
Trigonometric ratios
Area of triangle
b  b 2  4ac
2a
sin 

opposite side
hypotenuse
cos 

adjacent side
hypotenuse
tan 

opposite side
adjacent side
Area of
 12 bh where b is the length of the base and h is the
perpendicular height
ABC  12 ab sin C
Area of  ABC  s ( s  a )( s  b )( s  c )
Area of
where s 
abc
2
Sine rule
a
b
c


sin A sin B sin C
Cosine rule
a 2  b 2  c 2  2bc cos A
01234010/F 2008
GO ON TO THE NEXT PAGE
-31.
18.96  2.03 correct to two significant figures
equals
2.
3.
0.38
(A)
(B)
38
(C)
(D)
38.10
380
11.1  0.01 is equal to
(A)
(B)
(C)
110
111
1 100
(D)
1 110
The EXACT value of
(A)
(B)
(C)
(D)
7.
(B)
(C)
(D)
0.17004  103
1.7004 102
17.004 101
1.7004 101
The number 3.14063 written correct to 3 decimal
places is
(A)
(B)
(C)
(D)
0.207
0.0207
20.7000
20 700
What is the value of the digit 3 in the
number 2341?
(A)
(B)
(C)
(D)
8.
3
30
300
3000
What is the HIGHEST common factor of the set
of numbers 54, 72, 90 ?
(A)
(B)
(C)
(D)
9.
3.140
3.141
3.146
3.150
(A)
(B)
Express 0.12 as a fraction in its LOWEST terms
(A)
(B)
(C)
(D)
1
8
1
9
3
25
6
50
01234010/F 2008
(D)
10.
9
18
90
1080
25 130 is the same as
(C)
5.
37.26  1.8
is
1000
In scientific notation, 170.04 is written as
(A)
4.
6.
 25100  30
 25  30 100
 25  30   25100
100  30  100  25
The LARGEST prime number that is less
than 100 is
(A)
(B)
(C)
(D)
91
93
97
99
GO ON TO THE NEXT PAGE
-411.
12.
Item 14 refers to the Venn diagram below.
Of a class of 32 students, 17 study Music and
20 study Art. What is the LEAST number of
students who are studying BOTH Music and
ART?
(A)
(B)
3
5
(C)
(D)
12
15
14.
Which of the following sets is defined by
 x   : 2  x  4 ?
(A)
(B)
(C)
(D)
(B)
(C)
0,1, 2,3, 4
1,2,3,4
-1,0,1,2,3
-2,-1,0,1,2,3,4
(D)
15.
Item 13 refers to the Venn diagram below.
16.
13.
In the Venn diagram above, the shaded area
represents
P'
(A)
 P Q '
Q P'
Q P'
If the simple interest on $800 for 3 years is
$54 , what is the rate of interest per annum?
(A)
44%
(B)
5%
(C)
1
2 %
4
(D)
4
%
9
1
3 % of $500 is
4
The two circles above represent set P and set Q.
If P  Factors of 6 and Q  Factors of 4 ,
then the shaded region represents
(A)
(B)
(C)
(D)

1, 2
4, 6,8,...
12, 24, 36,...
01234010/F 2008
(A)
(B)
(C)
(D)
$ 1.62
$15.52
$16.00
$16.25
GO ON TO THE NEXT PAGE
17.
Mary invested $200 for 3 years at 5% per
annum. John invested $300 at the same rate. If
they both received the same amount of money in
interest, for how many years did John invest his
money?
(A)
(B)
(C)
(D)
-522.
(A)
(B)
(C)
(D)
2
3
5
10
23.
18.
A television set costs $350 cash. When bought on
hire purchase, a deposit of $35 is required,
followed by 12 monthly payments of $30. How
much is saved by paying cash?
(A)
(B)
(C)
(D)
A salesman sells a car for $11 000. If he is paid a
commission of 4.5% for the first $10 000 and
7.5% on the remainder, then the commission he
receives is
A loan of $8 000 was paid back in 2 years with
monthly payments of $400.00. The percentage
profit on the loan was
(A)
(B)
$10
$25
$40
$45
(C)
(D)
19.
How much does a customer pay for an article
marked at $50.00 if a sales tax of 6% is
charged?
(A)
(B)
(C)
(D)
20.
21.
$44.00
$47.00
$53.00
$56.00
If $7000 is borrowed at the rate of 5% per annum
for 3 years, the simple interest is
(A)
(B)
(C)
(D)
25.
75%
80%
120%
125%
01234010/F 2008
26.
5%
1
8 %
3
2
16 %
3
20%
5 x  y   3 x  y 
(A)
(B)
2x
2x  2 y
(C)
2x  8 y
8x  8 y
(D)
$ 105
$ 210
$ 370
$ 1 050
If the sale of an article resulted in a loss of
20 per cent on the cost price, then the cost price
as a percentage of the selling price is
(A)
(B)
(C)
(D)
24.
$ 495
$ 525
$ 825
$ 1 320
If r * s  s r then 3* 2 
(A)
(B)
8
9
(C)
(D)
12
27
mn  n 2 , then 5*3 
If m * n 
6
(A)
(B)
3
15
(C)
(D)
6
GO ON TO THE NEXT PAGE
27.
(4  x)(3  2 x) 
(A)
(B)
(C)
(D)
28.
-631.
x  2 y  27 and 2 x  y  19 are respectively
7  5x  2x
12  5 x  2 x 2
12  11x  2 x 2
12  5x  2x2
2
(A)
(B)
(C)
(D)
For 2 x  3  9 , the range of values of x is
(A)
(B)
(C)
(D)
32.
x3
x3
x6
x6
x
 
 y
If x  2 , y  3 , t  2 , then 
(A)
(B)
(C)
(D)
30.
If m 

4
9
33.
4
9
4
3
9
4
1
1
, n   , then m2  n 2 
2
4
(A)
1
16
(B)
3
16
(C)
5
16
(D)
7
16
8 cm  6 cm
8 cm  4 cm
8 cm  10 cm
8 cm  14 cm
The diagram below shows a cylinder with
diameter 6 cm and height 20 cm.
The volume, in cm3, of the cylinder is
(A)
(B)
(C)
(D)
34.
180
240
360
720
The distance around the edge of a circular pond
is 88 m. The radius, in metres, is
(A)
176
(B)
88
88
(C)
(D)
01234010/F 2008
15 and 10
10 and 15
7 and 13
13 and 7
A rectangular picture frame has a border area of
32 cm2. Given that the external dimensions are
10 cm  8 cm, what are the MOST likely
dimensions of the picture?
(A)
(B)
(C)
(D)
t
29.
The values of x and y which satisfy the equations

88
2
GO ON TO THE NEXT PAGE
-7–
35.
Item 38 refers to the following diagram.
2500 millimetres expressed in metres is
(A)
(B)
(C)
(D)
0.25
2.5
25
250
Item 36 refers to the trapezium below.
38.
The diagram shows two concentric circles
centre O with radius r cm and R cm. The area,
in cm2, of the shaded region is
(A)
36.
(B)
The area of the trapezium above is
(C)
(A)
(B)
(C)
(D)
37.
2
24 cm
28 cm2
30 cm 2
36 cm2
(D)
39.
A motorist travelled 60 km in 1 hour and a
further 90 km in 2 hours. His average speed,
in km/hr, for the entire journey was
(A)
(B)
(C)
(D)
30
50
75
150
40.
The area of a triangle is 30 cm2 and its base is
10 cm. What is the perpendicular height, in cm,
of the triangle?
(A)
6
(B)
(C)
(D)
12
13
17
Tom leaves town P to drive to town Q, which is
595 km away, at 0600 hrs. He arrives in town Q
at 1300 hrs the same day. Tom’s average speed
was
(A)
(B)
(C)
(D)
01234010/F 2008
 R2
 r2
 R2   r 2
 r 2  R2
70 km/h
75 km/h
85 km/h
90 km/h
GO ON TO THE NEXT PAGE
-8Items 41-42 refer to the diagram below showing
the number of persons who listen to Radio
Stations A, B, C and D during the week
Item 44 refers to the diagram below
44.
41.
Which two stations together have MORE THAN
1500 listeners during the week?
(A)
(B)
(C)
(D)
42.
(A)
(B)
(C)
(D)
45.
Which station had as many listeners during the
week as the mean number of listeners for the four
stations during the week?
(A)
(B)
(C)
(D)
43.
A and B
A and D
C and D
B and D
Station A
Station B
Station C
Station D
The pie chart shows the popular games played at
a school of 720 students. How many play
cricket?
The heights in cm, of ten students are 150, 152,
155, 153, 170, 160, 156, 165, 158, 155.
The range is
(A)
(B)
(C)
(D)
46.
35
120
252
300
5
20
150
155
Which of the following represents the equation of
a straight line?
Item 43 refers to the scores below.
(A)
10
15
4
7
(B)
8
8
1
4
y  2x  3
(C)
4
x
y  x2  4
(D)
y  x2  2 x  5
y
The median of the eight scores presented above is
(A)
(B)
(C)
(D)
4
7.25
7.50
8
01234010/F 2008
GO ON TO THE NEXT PAGE
-9Item 47 refers to the graph below
47.
The straight line AB cuts the Y axis at
(A)
(B)
(C)
(D)
(0,3)
(0, 2)
(3, 2)
(0, 2)
Item 48 refers to the graph below
48.
From the graph, the values of x
when y  1 are
(A)
(B)
(C)
(D)
01234010/F 2008
1 and -1
2.2 and -2.2
2.5 and -2.5
2.8 and -2.8
GO ON TO THE NEXT PAGE
- 10 Items 49-50 refer to the following graph
Item 51 refers to the following graph.
51.
49.
The maximum point of y  4 x  x 2 is
If a, b and c are constants and a  0 , the equation
of the graph could be
(A)
(B)
(A)
(B)
(C)
(D)
50.
(0, 0)
(0, 4)
(2, 4)
(4, 2)
(C)
(D)
Item 52 refers to the diagram below.
2
The values of x for which y  4 x  x
AC and DE are straight lines intersecting at B .
Angle DBA  580
intersects y  0 are
(A)
(B)
(C)
(D)
y  ax 2  c
y  c  ax 2
y  c  bx  ax 2
y  ax 2  bx  c
x  0 and x  4
x  0 and x  2
x  0 and x  4
x  2 and x  4
52.
The measure of angle ABE is
(A)
(B)
(C)
(D)
01234010/F 2008
580
1220
1420
3020
GO ON TO THE NEXT PAGE
- 11 Item 53 refers to the diagram below.
53.
In the figure above,
OPQ is mapped to
OP ' Q ' .What type of transformation has
taken place?
(A)
(B)
(C)
(D)
01234010/F 2008
Reflection
Enlargement
Translation
Rotation
GO ON TO THE NEXT PAGE
- 12 54.
Item 55 refers to the diagram below.
A ship sailed 8 km due east from A to B. It
then sailed 6 km due north to C. Which diagram
below BEST represents the path of the ship?
(A)
(B)
55.
In the diagram, the translation by which AB is
mapped to. A' B ' is represented by
(A)
(B)
(C)
(C)
(D)
 2
 
1
 2
 
 3
 3
 
 2
5
 
 3
Item 56 refers to the diagram below.
(D)
56.
AB is parallel to EC . The measure of BDE
is
(A)
(B)
(C)
(D)
01234010/F 2008
40o
50o
140o
180o
GO ON TO THE NEXT PAGE
- 13 Item 57 refers to the following diagram.
57.
In the right-angled triangle above, not drawn to
scale, Qˆ = 90o , PQ = 50 cm , PR = 130 cm and
RQ = x cm .
ˆ =
Tan PRQ
(A)
(B)
(C)
(D)
58.
Item 59 refers to the diagram below.
59.
The diagram above, not drawn to scale, shows
that the angle of depression of a point X from Z
is 300 . If X is 10 metres from Y, the height of
YZ , in metres, is
50
x
x
50
50
130
x
130
(A)
(B)
(C)
(D)
10 tan 30o
10 sin 30o
10 cos 30o
10 cos 60o
Item 60 refers to the following graph which
shows the point A
Which of the following BEST describes the
properties of an equilateral triangle?
I.
II.
III.
IV.
All sides are equal
All angles are equal
Only two sides are equal
Only two angles are equal
(A)
(B)
(C)
(D)
I and II
II and III
III only
IV only
60.
What are the co-ordinates of the image of
A under reflection in the y − axis ?
(A)
(B)
(C)
(D)
( −3, 4)
(3, −4)
(4, −3)
( −4, 3)
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/F 2008
AFFIX SEAL HERE
CANDIDATE –PLEASE NOTE!
You must sign below and return this booklet with the
Answer Sheet. Failure to do so may result in
disqualification.
FORM TP 2007104
TEST CODE 01234010
MAY/JUNE 2009
______________________________
Signature
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 – General Proficiency
90 minutes
20 MAY 2009 (p.m.)
READ THE FOLLOWING DIRECTIONS CAREFULLY
1. In addition to this test booklet, you should have an answer sheet.
2. Calculators and mathematical tables may NOT be used for this paper.
3. A list of formulae is provided on page 2 of this booklet.
4. This test consists of 60 items. You will have 90 minutes to answer them.
7104
5. Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are
about to answer, and decide which choice is best.
the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
AFFIX SEAL HERE
6. On your answer sheet, find the number which corresponds to your item and blacken the space having
2a  6 a 
(A)
(B)
(C)
(D)
Sample Answer
8a
8a 2
12a
12a 2
B
C
D
The best answer to this item is “8a”, so answer space (A) has been blackened.
7. If you want to change your answer, erase your old answer completely and fill in your new choice.
8. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot
Answer an item, omit it and go on to the next one. You can return later to the item omitted. Your score
will be the total number of correct answers.
9. You may do any rough work in the booklet.
10. Do not be concerned that the answer sheet provides spaces for more answers than there are items
in this test.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
01234010/F 2009
Copyright © 2009 Caribbean Examinations Council ®.
All rights reserved.
AFFIX SEAL HERE
Page 2
LIST OF FORMULAE
Volume of a prism
V  Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V   r 2 h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
1
V  Ah where A is the area of the base and h is the perpendicular height.
3
Circumference
C  2 r where r is the radius of the circle.
Area of a circle
A   r 2 where r is the radius of the circle.
Area of Trapezium
A
1
 a  b  h where a and b are the lengths of the parallel sides and h is
2
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax 2  bx  c  0 ,
then x 
Trigonometric ratios
Area of triangle
b  b 2  4ac
2a
sin 

opposite side
hypotenuse
cos 

adjacent side
hypotenuse
tan 

opposite side
adjacent side
Area of
 12 bh where b is the length of the base and h is the
perpendicular height
Area of
ABC  12 ab sin C
Area of
ABC 
where s 
s( s  a)( s  b)( s  c)
abc
2
Sine rule
a
b
c


sin A sin B sin C
Cosine rule
a 2  b 2  c 2  2bc cos A
01234010/F 2009
GO ON TO THE NEXT PAGE
-31.
 3   2
2
(A)
 13
(B)
 10
(C)
13
(D)
25
2

6.
(A)
(B)
(C)
(D)
7.
2.
Written in scientific notation, 0.045  10 3 is
(A)
(B)
(C)
(D)
If 60% of a number is 90 , what is the number?
4.5  106
4.5  105
4.5  104
4.5  101
What is the value of the digit 2 in the number
48.621?
(A)
(B)
(C)
3.
What percentage of 30 is 6 ?
(A)
(B)
(C)
(D)
5%
18%
20%
150%
(D)
8.
11.1  0.01 is equal to
(A)
(B)
(C)
(D)
5.
(B)
(C)
110
(D)
111
1100
1110
If $560 is shared in the ratio 2 : 3 : 9 , the
difference between the largest and the smallest
shares is
(A)
$ 80
(B)
(C)
(D)
$240
$280
$360
01234010/F 2009
9.
2
100
2
10
2
200
The number 301 can be written as
(A)
4.
30
54
150
180
3  102  1
3 103  1
3  10 2  1 10
3 103  1 10
If 3n is an odd number, which of the following
is an even number?
(A)
(B)
(C)
(D)
3n  2
3n  2
3n  1
3n  2 n
GO ON TO THE NEXT PAGE
10.
-4What is the least number of plums that can be
shared equally among 6, 9 or 12 children?
(A)
(B)
(C)
(D)
Item 14 refers to the Venn diagram below.
27
36
54
72
Item 11 refers to the Venn diagram below.
14.
In the Venn diagram, if P  Factors of 6 and
Q  Factors of 4 , then the shaded region
represents
11.
(A)
In the Venn diagram above, the shaded area
represents
(A)
P'
(B)
 P Q '
(C)
(D)
(B)
(C)
QP'
QP'
(D)
15.
12.
Which of the following sets is equivalent to
a, b, c, d ?
(A)
(B)
(C)
(D)
4
The simple interest on $400 at 5% per annum
for 2 years is given by
(A)
a, b, c
p, q, r, s
1, 2, 3, 4, 5
(B)
(C)
(D)
Item 13 refers to the Venn diagram below.

1, 2
4,6,8,...
12, 24,36,...
400  5  2
100
400  5
$
2  100
400  2
$
5  100
400  100
$
25
$
13.
16.
If p sweets cost q cents, then the cost of one
sweet is
(A)
pq cents
(B)
 q  p  cents
n  P  Q   10 .What is n  P  Q  ?
(C)
p
cents
q
(A)
(B)
(C)
(D)
(D)
q
cents
p
In the Venn diagram, n  P   5 , n  Q   9 and
4
6
14
24
01234010/F 2009
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17.
18.
-5During a sale, a shop allows 20% discount off the 21.
marked price of clothing. What will a customer
pay for a dress with a marked price of $30 ?
A company employs 12 gardeners at $26 per day,
and 8 clerks at $17 per day. What is the mean
daily wage, in dollars, of the 20 employees?
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
Tom bought a pen for $60 and sold it to gain
20% on his cost price. How much money did he
gain?
(A)
(B)
(C)
(D)
19.
$10
$20
$24
$30
$12
$40
$72
$80
Susan bought a calculator for $120 . She had to
pay a sales tax of 10% on the price. How much
change would she receive from $140 ?
(A)
(B)
(C)
(D)
22.
23.
If the simple interest on $800 for 3 years is
$54 . What is the rate of interest per annum?
(A)
4
%
9
(B)
1
2 %
4
(C)
5%
(D)
44%
2( x  4) 
$ 8.00
$12.00
$28.00
$32.00
Mary invested $200 for 3 years at 5% per
annum. John invested $300 at the same rate. If
they both received the same amount of money in
interest, for how many years did John invest his
money?
8a 
(A)
(B)
2
(C)
3
(D)
10
01234010/F 2009
25.
2

(A)
(B)
16 a
64a
(C)
16a 2
64a 2
(D)
1
1
2
2 x  8
2 x  4
2x  4
2 x  8
(A)
(B)
(C)
(D)
24.
20.
$20.00
$21.50
$22.40
$31.50
Given that a  b  2 a  3b then 2  ( 3) 
(A)
(B)
(C)
(D)
7
5
3
13
GO ON TO THE NEXT PAGE
26.
If, 20 a  16  12  3a then a 
5
8
21
16
13
8
5
2
(A)
(B)
(C)
(D)
27.
If P 
6
6
5
9
5
(B)
(C)
(D)
29.
(B)
(C)
(D)
33.
(D)
5 3
30 cm 3
100 cm 3
300 cm3
1000 cm 3
How many kilograms are there in one tonne?
(A)
(B)
(C)
9
x5
x5
2x  5
2x  5
The volume of a cube with edges 10 cm is
(A)
3
10
100
1000
10000
2a b
2a 6b3
6a2b
8a 6 b 3
34.
For all of a and b , 3a ( a  2b )  b (2a  3b ) 
(A)
(B)
(C)
(D)
30.
32.
2  a 2b  
(A)
(B)
(C)
(D)
John has x marbles and Max has twice as many.
Max gives John 5 of his marbles. How many
marbles does Max now have?
(A)
(B)
(C)
(D)
m2
, when m   3 ,then P 
2m
(A)
28.
-631.
3a 2  ab  3b 2
3a 2  4ab  3b 2
3a 2  4ab  3b 2
3a 2  8ab  3b 2
Which of the following represents the statement
“The difference of two square numbers is
positive”?
On leaving Trinidad, the time on a pilot’s watch
was 23 : 00 hrs. When he arrived at his
destination in the same time zone, on the
following day, his watch showed 03 : 00 hrs.
How many hours did the flight take?
(A)
(B)
(C)
(D)
35.
4
20
26
52
The circumference of a circle is 132 cm . Given
that  
22
, the radius of the circle in
7
(A)
x2  y 2  0
(B)
2x  2 y  0
centimeters, is
42
(A)
21
(B)
(C)
( y  x)2  0
(C)
42
(D)
2( y  x )  0
(D)
21
01234010/F 2009
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-7–
Item 36 refers to the diagram below.
38.
The area of a rectangle is 53.6 cm 2 . If the
length is multiplied by four and the width is
halved, the area would then be
(A)
(B)
(C)
(D)
26.8 cm 2
53.6 cm 2
107.2 cm 2
214.4 cm 2
Item 39 refers to the diagram below.
36.
AOB is a sector of a circle such that angle
AOB  60o and OB is r units long. The area
of AOB is
(A)
1
r
3
(B)
1
r
6
(C)
1 2
r
3
(D)
39.
(A)
(B)
(C)
(D)
1 2
r
6
40.
Item 37 refers to the diagrams below.
The area of the trapezium above is
45 cm 2
65 cm 2
90 cm 2
130 cm 2
The marks obtained by ten students in a test
marked out of 25 were:
14, 22, 15, 19,19, 16, 24, 13, 20, 19
The range of the marks was
37.
Which of the following statements is true about
the perimeters of the figures A and B?
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
11
13
18
19
Perimeter of A  Perimeter of B
Perimeter of A  Perimeter of B
Perimeter of A  Perimeter of B
Perimeter of A  Perimeter of B
01234010/F 2009
GO ON TO THE NEXT PAGE
-8Item 41 refers to the following table.
41.
10
15
4
7
8
8
1
4
Item 44 refers to the following pie-chart. O is the
centre of the circle and AOC is the diameter
The median of the eight scores in the table is
(A)
(B)
(C)
(D)
4
7.25
7.50
8
44.
42.
A bag contains 2 red , 4 yellow and 6 blue balls.
The probability of drawing a blue ball from the
bag at random is
(A)
(B)
(C)
(D)
I
(A)
(B)
(C)
(D)
1
6
1
3
1
2
6
11
45.
43.
10-14
15-19
20-24
25-29
3
8
12
7
46.
48
72
180
360
If the mean of four numbers 4, 8, x and 12 is 10,
then x is
(A)
(B)
(C)
(D)
Item 43 refers to the following table.
Length of
Leaf (cm)
Frequency
The pie chart shows the preference in drinks of
a group of students. If 12 students prefer
chocolate, then the TOTAL number of students
is
4
10
12
16
Which of the following represents the equation of
a straight line?
The lengths of 30 cabbage leaves were
measured, to the nearest cm, and the information
grouped as shown in the table above.
(B)
4
x
y  2x  3
The class boundaries are
(C)
y  x2  4
(D)
y  x2  2 x  5
(A)
(B)
(C)
(D)
(A)
y
3,8,12, 7
5, 5, 5, 5
10,14,15,19, 20, 24, 25, 29
9.5,14.5,19.5, 24.5, 29.5
01234010/F 2009
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47.
If f ( x)  x  x  1 , then f ( 5) 
2
(A)
(B)
(C)
(D)
-949.
31
24
Which of the following represents the graph of a
function?
(A)
29
31
Item 48 refers to the diagram below.
(B)
48.
The relationship that BEST describes the
mapping in the above diagram is
(A)
(B)
(C)
(D)
(C)
one-to-one
one-to-many
many-to-one
many-to-many
(D)
01234010/F 2009
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- 10 50.
(A)
(B)
(C)
(D)
51.
 0, 3 , 1, 4  ,  2, 7  ,  3,12 
 0,3 , 1,5 ,  2,7 ,  3,9
 0,3 , 1, 4  ,  2,5 ,  3, 6 
 0,3 , 1,1 ,  2, 4  ,  3,9 
The range of f : x  x for the domain
3
2, 1, 0,1, 2 is
(A)
(B)
(C)
(D)
52.
Item 54 refers to the following diagram.
Which of the following sets is represented by the
2
relation f ( x)  x  3 ?
54.
0,1,8
2, 1, 0,1, 2
6, 3, 0, 3, 6
8, 1, 0,1,8
(A)
(B)
(C)
A boat was travelling on a bearing of 270 0 . In
what direction was it travelling?
(A)
(B)
(C)
(D)
West
East
North
South
Item 53 refers to the following diagram.
In the right-angled triangle above, tan  is
(D)
55.
The image of a point P ( 2,3) under a translation
 3
  is
 4
(A)
(B)
(C)
(D)
53.
5
13
5
12
12
5
13
5
( 6,12)
( 5, 1)
(5,1)
(1, 7)
In the diagram, AB and CD are parallel. Which
of the following BEST describes the relation
between x and y ?
(A)
x  y  2x
(B)
x y
(C)
x  y  2x
(D)
x y
01234010/F 2009
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- 11 Item 56 refers to the following diagram
56.
The point A is shown on the diagram above. What are the co-ordinates of
the reflection of A in the y  axis ?
(A)
(B)
(C)
(D)
01234010/F 2009
( 4, 3)
(4,  3)
(3,  4)
( 3, 4)
GO ON TO THE NEXT PAGE
-12 57.
Item 58 refers to the diagram below.
A ship sailed 8 km due east from A to B . It
then sailed 6 km due north to C . Which diagram
below BEST represents the path of the ship?
(A)
58.
The triangle LMN is rotated in a clockwise
direction about L through an angle of 90 o .
What is its image?
(B)
(A)
(B)
(C)
(C)
(D)
(D)
01234010/F 2009
GO ON TO THE NEXT PAGE
- 13 Item 59 refers to the following diagram.
Item 60 refers to the diagram of a building
below.
A boy stands 12 metres from the foot of the
building and observes the angle of elevation of
the top of the building.
59.
How many triangles congruent to  AD E would
be needed to cover the rectangle ABC D entirely?
(A)
(B)
(C)
(D)
8
6
4
2
60.
The height of the building is approximately
(A)
(B)
(C)
(D)
12 tan 40o
1.6  12sin 40o
1.6  12 cos 40o
1.6  12 tan 40 o
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/F 2009
AFFIX SEAL HERE
CANDIDATE –PLEASE NOTE!
You must sign below and return this booklet with the
Answer Sheet. Failure to do so may result in
disqualification.
FORM TP 2007104
TEST CODE 01234010
MAY/JUNE 2010
______________________________
Signature
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 – General Proficiency
90 minutes
19 MAY 2010 (p.m.)
READ THE FOLLOWING DIRECTIONS CAREFULLY
1. In addition to this test booklet, you should have an answer sheet.
2. Calculators and mathematical tables may NOT be used for this paper.
3. A list of formulae is provided on page 2 of this booklet.
4. This test consists of 60 items. You will have 90 minutes to answer them.
7104
5. Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are
about to answer, and decide which choice is best.
the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
AFFIX SEAL HERE
6. On your answer sheet, find the number which corresponds to your item and blacken the space having
2a  6 a 
(A)
(B)
(C)
(D)
Sample Answer
8a
8a 2
12a
12a 2
B
C
D
The best answer to this item is “8a”, so answer space (A) has been blackened.
7. If you want to change your answer, erase your old answer completely and fill in your new choice.
8. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot
Answer an item, omit it and go on to the next one. You can return later to the item omitted. Your score
will be the total number of correct answers.
9. You may do any rough work in the booklet.
10. Do not be concerned that the answer sheet provides spaces for more answers than there are items
in this test.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
01234010/F 2010
Copyright © 2009 Caribbean Examinations Council ®.
All rights reserved.
AFFIX SEAL HERE
Page 2
LIST OF FORMULAE
Volume of a prism
V  Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V   r 2 h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
V
Circumference
C  2 r where r is the radius of the circle.
Area of a circle
A   r 2 where r is the radius of the circle.
Area of Trapezium
A
1
Ah where A is the area of the base and h is the perpendicular height.
3
1
 a  b  h where a and b are the lengths of the parallel sides and h is
2
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax 2  bx  c  0 ,
then x 
Trigonometric ratios
Area of triangle
b  b2  4ac
2a
sin 

opposite side
hypotenuse
cos 

adjacent side
hypotenuse
tan 

opposite side
adjacent side
Area of
 12 bh where b is the length of the base and h is the
perpendicular height
Area of
ABC  12 ab sin C
Area of
ABC 
where s 
s( s  a)( s  b)( s  c)
abc
2
Sine rule
a
b
c


sin A sin B sin C
Cosine rule
a 2  b 2  c 2  2bc cos A
01234010/F 2010
GO ON TO THE NEXT PAGE
-31.
The number 3.14063 written correct to
3 decimal places is
3.140
3.141
3.146
3.150
(A)
(B)
(C)
(D)
2.
 3 
6.
2
(A)
(B)
(C)
(D)
  2  
(A)
13
(B)
10
(C)
13
(D)
25
(B)
(C)
(D)
7.
The H.C.F. of 12, 15 and 60 is
(A)
(B)
(C)
(D)
3
5
12
60
The number 301 can be written as
0.17004  10
1.7004 102
17.004 101
1.7004  10 2
(A)
3
(B)
(C)
(D)
9.
0.386  0.06 
(A)
(B)
(C)
(D)
1
What number when added to 1 gives 2 ?
3
(C)
1
3
2
3
1
(D)
3
(A)
(B)
01234010/F 2010
3 103  110
3 102  110
3 103  1
3 102  1
If 3n is an odd number, which of the following
is an even number?
(A)
(B)
(C)
(D)
0.02316
0.2316
2.316
23.16
10.
5.
0.207
0.0207
20.7000
20 700
In scientific notation, 170.04 is written as
(A)
4.
37.26  1.8
is
1000
2
8.
3.
The EXACT value of
3n  1
3n  2
3n  2
3n  2n
25 130 is the same as
(A)
(B)
(C)
(D)
 25 100  30
 25  30 100
 25  30   25 100
100  30  100  25
GO ON TO THE NEXT PAGE
-4Item 11 refers to the Venn diagram below.
11.
In the Venn diagram above, the shaded area
represents
P'
(A)
(B)
(C)
(D)
12.
Item 14 refers to the Venn diagram below.
14.
then the shaded region represents
 P  Q '
Q P'
Q P'
(A)
(B)
(C)
In a class of 32 students, 17 study Music and
20 study Art. What is the LEAST number of
students who are studying BOTH Music and Art?
(D)
15.
(A)
(B)
(C)
(D)
13.
3
5
12
15
(A)
(B)
(C)
(D)
16.
8
6
4
3
$0.25
$0.40
$2.50
$4.00
1
3 % of $500 is
4
(A)
(B)
(C)
(D)
17.

1, 2
4,6,8,...
12, 24,36,...
If TT$6.00 is equivalent to US$1.00, then
TT$15.00 in U.S. dollars is
(A)
(B)
(C)
(D)
If P  a, b, c then the number of subsets
of P is
If P  Factors of 6 and Q  Factors of 4 ,
$ 1.62
$15.52
$16.00
$16.25
If p sweets cost q cents, then the cost of one
sweet is
(A)
(B)
01234010/F 2010
q
cents
p
pq cents
(C)
p
cents
q
(D)
 q  p  cents
GO ON TO THE NEXT PAGE
18.
-5A salesman is paid 5% of his sales as 23.
commission. His sales for last month were
$2 020 . How much commission was he paid?
(A)
(B)
(C)
(D)
19.
20.
(C)
(D)
$56.00
$53.00
$47.00
$44.00
3
does he pay when he uses 55000 m of gas?
$178.75
$175.25
$165.00
$151.25
01234010/F 2010
2
3
2x
4x
5  x  y   3 x  y  
(C)
(D)
26.
A man pays 60 cents for every 200 m of gas
used, plus a fixed charge of $13.75 . How much
(A)
(B)
(C)
(D)
 x  3 x 1 is
(A)
(B)
3
16a
64a
16 a 2
64a 2
The middle term in the expansion of
(A)
(B)
(C)
(D)
25.
5%
8%
16%
20%

 x  a  x  b   x2   a  b  x  ab
24.
$360
$366
$666
$966
2
Item 24 refers to the expansion below
A loan of $8000 was repaid in 2 years in
monthly payments of $400.00 . The interest on
the loan, as a percentage, was
(A)
(B)
(C)
(D)
22.
$ 11.00
$ 20.20
$101.00
$110.00
A table is sold on hire purchase. The sale price
consists of a deposit of $306 and six monthly
installments of $60 each. How much does a
customer pay for the table?
(A)
(B)
(C)
(D)
21.
(A)
(B)
How much does a customer pay for an article
marked at $50.00 if a sales tax of 6% is
charged?
(A)
(B)
(C)
(D)
8a 
2x
2x  2 y
2x  8 y
8x  8 y
4 x 3x

may be written as
7 y 5y
(A)
(B)
(C)
(D)
41x
35 y
41x 2
35 y
41xy
35 y
20 x  21y
35 y
GO ON TO THE NEXT PAGE
27.
If a * b 
(C)
(D)
4

(B)
28.
b
 1 , then 7*28 
a
3
4
1
4
3
(A)
-631.
x  2 y  27 and 2 x  y  19 are respectively
(A)
(B)
(C)
(D)
32.
Given 2 x  3  9 , the range of values of x is
x6
(A)
x6
(B)
x3
(C)
x3
(D)
t
29.
30.
x
If x  2 , y  3 , t  2 , then   
 y
4
(A)

9
4
(B)
9
4
(C)
3
9
(D)
4
(B)
(C)
(D)
33.
(B)
(C)
(D)
6 x
4
3
6
x4
3
6 x 4

3
3
x
6  4
3
0.25
2.5
25
250
A boy leaves home at 09 :15 hours and arrives at
school at 10 : 05 hours. If he travels non-stop at
an average speed of 6 kmh 1 , what is the
distance, in km, of his home from school?
(A)
(B)
(C)
(D)
35.
2 km
5 km
6 km
9 km
The distance around the edge of a circular pond
is 88 m . The radius, in metres, is
(A)
(B)
(C)
(D)
01234010/F 2010
30 cm3
100 cm 3
300 cm3
1000 cm 3
2500 millimetres expressed in metres is
(A)
(B)
(C)
(D)
34.
15 and 10
10 and 15
7 and 13
13 and 7
The volume of a cube of edge 10 cm is
(A)
When 6 is added to a number and the sum is
divided by three, the result is four. This statement
written in mathematical symbols is
(A)
The values of x and y which satisfy the equations
176
88
88

88
2
GO ON TO THE NEXT PAGE
36.
A man leaves home at 22 :15 hrs and reaches
his destination in the same time zone at 04 : 00
hrs on the following day. How many hours did
the journey take?
-738.
Which of the figures below, not drawn to scale,
has an area equal to
1
 3  4   5 square units?
2
(A)
(A)
5
(B)
5
(C)
6
(D)
1
6
4
3
4
(B)
Item 37 refers to the diagram below
(C)
(D)
39.
37.
AOB is a sector of a circle such that angle
AOB  60o and OB is r units long. The area
of AOB is
(A)
1
r
3
(B)
1
r
6
(C)
1 2
r
3
(D)
1 2
r
6
01234010/F 2010
The area of a triangle is 30 cm 2 and its base is
10 cm . What is the perpendicular height, in cm,
of the triangle?
(A)
(B)
(C)
(D)
40.
6
12
13
17
The median of the numbers:
1, 1, 5, 5, 6, 7, 7, 7, 7, 8 is
(A)
(B)
(C)
(D)
5.4
6
6.5
7
GO ON TO THE NEXT PAGE
41.
-844.
Six hundred students write an examination. The
probability of a randomly selected student failing
the examination is
1
. How many students are
5
expected to pass?
(A)
(B)
(C)
(D)
42.
Each of the letters in the word ‘CHANCE’ is
written on a slip of paper similar in size and
shape. The slips of paper are then placed in a bag
and thoroughly shaken. What is the probability of
drawing a letter ‘C’?
(A)
120
480
500
600
(B)
(C)
The lengths of 30 cabbage leaves were
measured, to the nearest cm, and the information
grouped as shown in the table below.
(D)
1
6
1
5
1
3
2
3
Item 45 refers to the following diagram
Length of
Leaf (cm)
Frequency
10-14
15-19
20-24
25-29
3
8
12
7
The limits of the class intervals are
(A)
(B)
(C)
(D)
3,8,12, 7
5,5,5,5
9.5,14.5,19.5, 24.5, 29.5
10,14,15,19, 20, 24, 25, 29
Item 43 refers to the following bar chart
45.
The pie chart above shows the preference in
drinks of a group of students. If 12 students
prefer chocolate, then the TOTAL number of
students is
(A)
(B)
(C)
(D)
46.
43.
The bar chart above shows the number of books
read by the children who took part in a survey.
How many children took part in the survey?
5
(A)
15
(B)
75
(C)
87
(D)
01234010/F 2010
48
72
180
360
Which of the following represents the equation of
a straight line?
(A)
y  2x  3
(B)
y
(C)
y  x2  4
(D)
y  x2  2 x  5
4
x
GO ON TO THE NEXT PAGE
-949.
Item 47 refers to the graph below
Which of the following diagrams illustrates a
function?
(A)
(B)
47.
The straight line AB cuts the Y axis at
(A)
(B)
(C)
(D)
(C)
(0,3)
(0, 2)
(3, 2)
(0, 2)
(D)
Item 48 refers to the following graph
50.
If f ( x)  x  x  1 , then f ( 5) 
2
(A)
(B)
(C)
(D)
48.
31
19
24
29
The values of x for which y  4 x  x intersects
2
y  0 are
(A)
(B)
(C)
(D)
x  0 and x  4
x  0 and x  2
x  0 and x  4
x  2 and x  4
01234010/F 2010
GO ON TO THE NEXT PAGE
- 10 Item 51 refers to the following diagram of a function.
54.
A ship sailed 8 km due east from A to B then
sailed 6 km due north to C . Which diagram
below BEST represents the path of the ship?
(A)
51.
Which of the following best describes the
function?
(A)
(B)
(C)
(D)
(B)
f ( x)  3  x
yx
f ( x)  x  3
x  y3
Item 52 refers to the diagram below.
(C)
52.
.
AC and DE are straight lines intersecting at B
Angle DBA  58o
(D)
The measure of angle ABE is
(A)
(B)
(C)
(D)
53.
58o
122o
142o
302o
If the sum of the interior angles of a polygon is
4 right angles, the polygon is a
(A)
(B)
(C)
(D)
triangle
hexagon
pentagon
quadrilateral
01234010/F 2010
GO ON TO THE NEXT PAGE
55.
- 11 58.
o
A plane is heading in a direction of 045 and
o
changes course in a clockwise direction to 135 .
The angle through which the plane turns is
(A)
(B)
(C)
(D)
56.
45o
90o
135o
270o
A ladder 5 metres long is leaning against a
vertical wall. The foot of the ladder is 3 m away
from the wall. How far up the wall does the
ladder reach?
(A)
(B)
(C)
(D)
The image of the point P ( 3, 2) under the
4m
6m
8m
15 m
Item 59 refers to the diagram below
2
1
translation   is
(A)
(B)
(C)
(D)
(5,3)
( 2, 4)
( 1, 3)
(1,1)
Item 57 refers to the following diagram.
59.
The diagram above, not drawn to scale, shows
that the angle of depression of a point X from Z
is 30o . If X is 10 metres from Y , the height of
YZ , in metres, is
(A)
(B)
(C)
(D)
57.
In the diagram above, if the line y  x is rotated
o
anti-clockwise about O through 90 , what is its
image?
60.
10 tan 60o
10 cos 60o
10 tan 30o
10sin 30o
In a triangle ABC , angle A  x o and angle B ,
2 x o . What is the size of angle C ?
(A)
y0
(B)
60 o
45o
(B)
(C)
x0
yx
y  x
(C)
(180  3x)o
(D)
 180 


 3x 
(D)
(A)
o
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/F 2010
AFFIX SEAL HERE
CANDIDATE –PLEASE NOTE!
You must sign below and return this booklet with the
Answer Sheet. Failure to do so may result in
disqualification.
FORM TP 2007104
TEST CODE 01234010
MAY/JUNE 2011
______________________________
Signature
CARIBBEAN EXAMINATIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 – General Proficiency
90 minutes
18 MAY 2011 (p.m.)
READ THE FOLLOWING DIRECTIONS CAREFULLY
1. In addition to this test booklet, you should have an answer sheet.
2. Calculators and mathematical tables may NOT be used for this paper.
3. A list of formulae is provided on page 2 of this booklet.
4. This test consists of 60 items. You will have 90 minutes to answer them.
7104
5. Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each item you are
about to answer, and decide which choice is best.
the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
AFFIX SEAL HERE
6. On your answer sheet, find the number which corresponds to your item and blacken the space having
2a  6 a 
(A)
(B)
(C)
(D)
Sample Answer
8a
8a 2
12a
12a 2
B
C
D
The best answer to this item is “8a”, so answer space (A) has been blackened.
7. If you want to change your answer, erase your old answer completely and fill in your new choice.
8. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot
Answer an item, omit it and go on to the next one. You can return later to the item omitted. Your score
will be the total number of correct answers.
9. You may do any rough work in the booklet.
10. Do not be concerned that the answer sheet provides spaces for more answers than there are items
in this test.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
01234010/F 2011
Copyright © 2010 Caribbean Examinations Council ®.
All rights reserved.
AFFIX SEAL HERE
-2LIST OF FORMULAE
Volume of a prism
V  Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of a cylinder
V   r 2 h where r is the radius of the base and h is the perpendicular height.
Volume of a right pyramid
V
Circumference
C  2 r where r is the radius of the circle.
Arc length
S
Area of a circle
A   r 2 where r is the radius of the circle.
Area of a sector
A
Area of Trapezium
A
1
Ah where A is the area of the base and h is the perpendicular height.
3

360

360
 2 r where  is the angle of the sector.
  r 2 where  is the angle of the sector.
1
 a  b  h where a and b are the lengths of the parallel sides and h is
2
the perpendicular distance between the parallel sides.
b  b2  4ac
2a
Roots of quadratic equations
If ax 2  bx  c  0 , then x 
Trigonometric ratios
sin 

opposite side
hypotenuse
cos 

adjacent side
hypotenuse
tan 

opposite side
adjacent side
Area of triangle
Area of
 12 bh where b is the length of the base and h is the
perpendicular height
Area of
ABC  12 ab sin C
Area of
 ABC 
where s 
s ( s  a )( s  b)( s  c )
abc
2
Sine rule
a
b
c


sin A sin B sin C
Cosine rule
a 2  b 2  c 2  2bc cos A
01234010/F 2011
GO ON TO THE NEXT PAGE
-31.
In scientific notation, 170.04 is written as
(A)
(B)
(C)
(D)
2.
6.
0.17004  103
1.7004 102
17.004 101
1.7004  10 1
3
7.
3.
4.
$ 72
$ 80
$ 180
$ 300
1
   is the same as
2
(A)
(B)
(C)
(D)
8.
110
1
8
1

6
1
8
1
6

The H.C.F. of 12, 15 and 60 is
(A)
(B)
(C)
(D)
11.1  0.01 is equal to
(A)
(B)
(C)
(D)
5.
80%
85%
125%
152%
Ann and Betty shared a sum of money in the ratio
2 : 3 respectively. Ann received $120 . What was
Betty’s share?
(A)
(B)
(C)
(D)
37.26  1.8
is
1000
0.207
0.0207
20.7000
20 700
(A)
(B)
(C)
(D)
What percentage of 340 is 425
(A)
(B)
(C)
(D)
The EXACT value of
1
3
12
60
111
1100
1110
9.
If 3n is an odd number, which of the following
is an even number?
If 60% of a number is 90 , what is the number?
(A)
(B)
(C)
(D)
30
54
150
180
01234010/ F 2011
(A)
(B)
(C)
(D)
3n  1
3n  2
3n  2
3n  2n
GO ON TO THE NEXT PAGE
10.
-4What is the least number of plums that can be
shared equally among 6, 9 or 12 children?
(A)
(B)
(C)
(D)
11.
Item 14 refers to the Venn diagram below.
27
36
54
72
Which of the following sets is equivalent to
a, b, c, d ?
(A)
(B)
(C)
(D)
14.
If P  Factors of 6 and Q  Factors of 4 ,
then the shaded region represents
4
a, b, c
p, q, r, s
1, 2, 3, 4, 5
(A)
(B)
(C)
(D)
12.
Which of the following sets is defined by
 x   : 2  x  4
(A)
(B)
(C)
(D)
13.

1, 2
4,6,8,...
12, 24,36,...
1, 2,3, 4
0,1,2,3,4
1, 0,1, 2,3
2, 1,0,1,2,3,4
If P  a , b then the number of subsets of P is
(A)
(B)
(C)
(D)
15.
1
3 % of $500 is
4
(A)
(B)
(C)
(D)
16.
2
3
4
8
During a sale, a shop allows 20% discount off the
marked price of clothing. What will a customer
pay for a dress with a marked price of $30 ?
(A)
(B)
(C)
(D)
17.
$10
$20
$24
$30
A man bought a calf for $200 and sold it for
$250 . What was his gain as a percentage of the
cost price?
(A)
(B)
(C)
(D)
01234010/ F 2011
$ 1.62
$15.52
$16.00
$16.25
5%
15%
20%
25%
GO ON TO THE NEXT PAGE
18.
-5How much does a customer pay for an article 22.
marked at $50.00 before taxes if a sales tax of
6% is charged?
(A)
(B)
(C)
(D)
19.
20.
If $7000 is borrowed at the rate of 5% per annum
for 3 years, the simple interest is
(A)
(B)
(C)
(D)
$56.00
$53.00
$47.00
$44.00
At the end of any year, a car is worth 5% less
than what it was worth at the beginning of the
year. If a car was bought for $10 000 in
23.
4
2


5x 5x
(A)
January 2009, its value in December 2009 was
$9 000
(A)
$9 025
(B)
$9 500
(C)
$9 995
(D)
(B)
If the simple interest on $800 for 3 years is
$54 . What is the rate of interest per annum?
(D)
(C)
(A)
4
%
9
(B)
1
2 %
4
(A)
(C)
5%
(B)
(D)
44%
(C)
24.
6
25 x
8
25 x
6
10 x
6
5x
( x  2)(3 x  4) 
(D)
21.
$ 105
$ 210
$ 370
$ 1 050
3x 2  6 x  8
3x2  2 x  8
3x 2  10 x  8
3 x 2  10 x  8
3
A man pays 60 cents for every 200 m of gas
used, plus a fixed charge of $13.25 . How much
25.
If 5 x  26  x  50 then the value of x is
3
does he pay when he uses 55 000 m of gas?
(A)
(B)
(C)
(D)
$178.25
$175.25
$165.00
$151.25
01234010/ F 2011
(A)
(B)
(C)
(D)
12
6
6
19
GO ON TO THE NEXT PAGE
26.
-631.
3x  2 x 
2
3
The values of x and y which satisfy the equations
x  2 y  27 and 2 x  y  19 are respectively
(A)
(B)
(C)
(D)
27.
28.
(A)
(B)
(C)
(D)
32.
15 and 10
10 and 15
7 and 13
13 and 7
The diagram below shows a cylinder with
diameter 6 cm and height 20 cm.
For 2 x  3  9 , the range of values of x is
x3
x3
x6
x6
John has x marbles and Max has twice as many.
Max gives John 5 of his marbles. How many
marbles does Max now have?
(A)
(B)
(C)
(D)
30.
6x
6 x6
5x6
72 x 5
m2
. When m  3 ,the value of P is
P
2m
9
(A)
9
(B)
5
6
(C)
5
6
(D)
(A)
(B)
(C)
(D)
29.
5
If 3 
2
 1 , then the value of x is
x
(C)
(D)
5
(B)
(A)
(B)
(C)
(D)
33.
x5
x5
2x  5
2x  5
1
1
5
1
(A)
The volume in cm3 , of the cylinder is
How many kilogrammes are there in one tonne?
(A)
(B)
(C)
(D)
34.
10
100
1 000
10 000
The distance around the edge of a circular pond
is 88 m. The radius, in metres is
(A)
88
(B)
176
88

88
2
(C)
(D)
01234010/ F 2011
180
240
360
720
GO ON TO THE NEXT PAGE
-7Item 35 refers to the quadrilateral below.
35.
37.
(A)
(B)
(C)
(D)
The area of the quadrilateral above is
(A)
(B)
(C)
(D)
24 cm2
28 cm 2
30 cm 2
36 cm2
The area of a triangle is 30 cm 2 and its base is
10 cm . What is the perpendicular height, in cm,
of the triangle?
38.
The area of a rectangle is 53.6 cm 2 . If the
length is multiplied by four and the width is
halved, the area would then be
(A)
(B)
(C)
Item 36 refers to the diagram below.
6
12
13
17
(D)
26.8 cm 2
53.6 cm 2
107.2 cm 2
214.4 cm 2
Item 39 refers to the table below showing the
frequency of scores obtained by students in a test.
Scores
Students
39.
36.
AOB is a sector of a circle such that angle
AOB  60o and OB is r units long. The area
of AOB is
(A)
1
r
3
3
4
5
6
6
3
1
r
6
(C)
1 2
r
3
(D)
1 2
r
6
01234010/ F 2011
11
2
8
9
10
12
The perimeter of a square is 48 cm. What is the
area in cm 2 ?
(B)
8
12
The modal score is
(A)
(B)
(C)
(D)
40.
2
8
(A)
(B)
(C)
(D)
36
72
108
144
GO ON TO THE NEXT PAGE
-841.
Items 43-45 refer to the diagram below which
shows the sport chosen by 160 boys who
participated in a games evening at their school
The mean of the following numbers is 15.
14,10,18,c,21,15,14
The value of c is.
(A)
(B)
(C)
(D)
42.
13
14
20
91
A bag contains 2 red, 4 yellow and 6 blue balls.
The probability of drawing a blue ball from
the bag at random is
(A)
(B)
(C)
(D)
1
6
1
3
1
2
6
11
43.
The number of boys who chose football is
(A)
(B)
(C)
(D)
44.
The probability that a boy chosen at random
participated in boxing is
(A)
(B)
(C)
(D)
45.
7
8
1
2
1
4
1
8
How many boys participated in cricket?
(A)
(B)
(C)
(D)
01234010/ F 2011
40
90
110
150
54
60
110
120
GO ON TO THE NEXT PAGE
46.
-9Which of the following represents the equation of 50.
a straight line?
4
x
(A)
y
(B)
(C)
y  x2  4
y  2x  3
(D)
y  x2  2 x  5
What is the gradient of the straight line
2 y  3 x  8 ?
(A)
(B)
(C)
(D)
Item 47 refers to the arrow diagram below
51.
Which of the following sets is represented by the
2
relation f : x  x  3 ?
(A)
(B)
(C)
(D)
47.
48.
 0, 3  , 1, 4  ,  2, 7  ,  3,12 
 0,3 , 1,5 ,  2, 7  ,  3,9 
 0, 3  , 1, 4  ,  2, 5  ,  3, 6 
 0, 3  , 1,1 ,  2, 4  ,  3, 9 
The arrow diagram above describes the relation
(A)
x is a factor of y
(B)
x is less than y
(C)
x is a multiple of y
(D)
x is greater than y
Item 52 refers to the diagram below of a
construction. With centre A , an arc BC is drawn.
With centre B , and the same radius, the arc
PCQ is drawn.
If f ( x)  2 x  1 then f ( 3) =
2
(A)
(B)
(C)
(D)
32
19
17
35
52.
What is the measure of BAC ?
(A)
Item 49 refers to the diagram below.
(B)
(C)
(D)
49.
3
3

2
2
3
3
30o
45o
60o
75o
The graph of the inequality in the diagram above
is defined by
(A)
(B)
(C)
(D)
2  x  3
2  x  3
2  x  3
2  x  3
01234010/ F 2011
GO ON TO THE NEXT PAGE
- 10 Item 55 refers to the diagram below.
Item 53 refers to the following diagram.
53.
In the diagram, AB and CD are parallel. Which
of the following BEST describes the relation
between x and y ?
(A)
(B)
(C)
(D)
x y
x y
x  y  2x
x  y  2x
Item 54 refers to the diagram below.
54.
AC and DE are straight lines intersecting at B .
Angle DBA  58o
55.
In the diagram above
OPQ is mapped onto
OP ' Q ' .What type of transformation has taken
place?
(A)
Reflection
(B)
Enlargement
(C)
Translation
(D)
Rotation
The measure of angle ABE is
(A)
(B)
(C)
(D)
58o
122o
142o
302o
01234010/ F 2011
GO ON TO THE NEXT PAGE
56
- 11 In each of the diagrams shown below, A ' is the
image of A . Which of the diagrams shows a
reflection in the x  axis ?
Item 57 refers to the diagram below.
(A)
57.
(B)
AB is parallel to EC . What is the measure of
BDE .
(A)
(B)
(C)
(D)
40o
50o
140o
180o
(C)
(D)
01234010/ F 2011
GO ON TO THE NEXT PAGE
- 12 Item 58 refers to the triangle below.
Item 59 refers to the diagram of the building
below.
58.
A boy stands 12 metres from the foot of the
building and observes the angle of elevation of
the top of the building.
The triangle LMN is rotated in a clockwise
direction about L through an angle of 90o .
What is its image?
(A)
59.
The height of the building is approximately
(B)
60.
(C)
(A)
12 tan 40o
(B)
1.6  12sin 40o
(C)
1.6  12 cos 40o
(D)
1.6  12 tan 40 o
A ladder 5 metres long is leaning against a
vertical wall. The foot of the ladder is 3 m away
from the wall on horizontal ground. How far up
the wall does the ladder reach?
(A)
(B)
(C)
(D)
4m
6m
8m
15 m
(D)
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/ F 2011
.PRINT your name on the line below and rdllrn ·
.thls~klet.Withtheanswers~eet. Failureto do'
,
mm.,y
resultindisqualifiCatiOR.
TEST CODE
,, ' " '
1 .. ' .' 1 '
,'
,
'
~'
~
012.34010
~
FORM TP 2013091
MAY/JUNE 2013
CARIBBEAN SECONDARY EDUCATION CERTIFICATE®
SECO:'\JDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 - General Proficiency
. I hour 30 minutes
(22 MAY 2013 (p.m.))
READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
I
I.
This test consists of 60 items. You will have 1 hour and 30 minutes to answer them.
2.
In addition to this test booklet, you should have an answer sheet.
3.
A list of formulae is provided on page 2 of this booklet.
4.
Each item in this test has four suggested answers, lettered (A), (B), (C), (D). Read each
item you are about to answer, and decide which choice is best.
5.
On your answer sheet, find the number which corresponds to your item and shade the space
having the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
2a + 6a
(A)
(B)
(C)
(D)
Sample Answer
=
8a
8a2
12a
12a2
•@©@
The best answer to this item is "Sa", so answer space (A) has been shaded.
------
6.
If you want to change your answer, erase it completely before you fill in your new choice.
7.
When you are told to begin, turn the page and work as quickly and as carefully as you can.
If you cannot answer an item, go on to the next one. You may return to this item later.
Your score will be the total number of correct answers.
8.
You may do any rough work in the booklet.
9.
Calculators and mathematical tables are NOT allowed for this paper.
iiii
---! !!!!
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO.
Copyright© 2011 Caribbean Examinations Council
All rights reserved.
!!!!!!!!!
01234010/F 2013
-2LIST OF FORMULAE
Volume of a prism
V
Ah where A is the area of a cross-section and h is the perpendicular
=
length.
Volume of a right pyramid
V = nrh where r is the radius of the base and his the perpendicular height.
1
V = 3 Ah where A is the area of the base and his the perpendicular height.
Circumference of a circle
C = 2nr where r is the radius of the circle.
Arc length
S = _!!__ x 2nr where 0° is the angle subtended by the arc.
360
Area of a circle
A
= nr
Area of a sector of a circle
A
=
Area of trapezium
A
= ..!.. ( a + b) h where a and b are the lengths of the parallel sides and h is
Volume of cylinder
where r is the radius of the circle.
()
360
x
nr where 0° is the angle in the sector.
2
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax2 + bx + c = 0,
then x
= -b ± .Jb2 -4ac
2a
Trigonometric ratios
sine
opposite side
hypotenuse
cos e
adjacent side
hypotenuse
tan e
opposite side
adjacent side
Opposite
Adjacent
Area of triangle
Area of MBC = ~ bh where b is the length of the
base and h is the perpendicular height
Area of MBC
= ..!..ab
2
sin C
AreaofMBC = ~s(s-a)(s-b)(s-c)
where s = a + b + c
2
Sine rule
a
b
c
--=--=--
sinA sinB sine
Cosine rule
a2 ... Ir+ c1 - 2bccosA
00 ON TO THE NEXT PAGE
01234010/F 2013
-3-
1.
(
~
1
)
is equal to
6.
4
6
(A)
-
(B)
4
3
(C)
2
9
(D)
-
ln a school, the ratio of the number of
pupils to the number of teachers is 20 : 1.
If the number of pupils is 84b, how many
teachers are there?
(A)
(B)
(C)
(D)
7.
4
9
The LARGEST prime number that is less
than 100 is
(A)
(B)
2.
(A)
(B)
(C)
(D)
3.
80%
· 85%
125%.
152%
8.
(D)
$ 72
$ 80
2
is the TOTAL sum of money?
(B)
(C)
(D)
$
$
$
$4
(C)
(D)
10.
11.
5.
The value of 29.94 x 0.5 is approximately
0.15
l.5
15
(A)
(B)
(C)
(D)
150
12
60
52 + 66
52 x 66
49 + 20
49 x 20
The value of the digit 5 in the number 537
is
(A)
(B)
(C)
(D)
45
320
500
500
1
3
By the distributive law 49 x 17 + 49 x 3=
(A)
(B)
$180
$300
If 12 _!_ % of a sum of money is $40, what
(A)
9.
91
93
97
99
The H.C.F. of 12, 15 and 60 is
(A)
(B)
(C)
(D)
Ann and Betty shared a sum of money in
the ratio 2:3. Ann received $ 120. What
was Betty's share?
(A)
(B)
(C)
4.
(C)
(D)
What percentage of 340 is 425?
40
42
800
840
5
100
500
5 000
Which of the following sets is equivalent
to {a, b, c, d}?
(A)
(B)
(C)
(D)
{4 }
{a, b, c}
{p, q, r, s}
{1, 2, 3, 4, 5}
GO ON TO THE NEXT PAGE
01234010/F 2013
-4-
Item 12 refers to the Venn diagram below.
15.
If TT$6.00 is equivalent to US$ l .OO. then
TT$15.00 in U.S. dollars is
(A)
(B)
(C)
(D)
In the Venn diagram, the shaded area
represents
A man's taxable income is S 15 200. He
pays tax at the rate of 25° o. The amount
of income tax he pays is
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
16.
12.
.P'
(Pu Q)'
Q u P'
Q n P'
.
13.
$0.25
$0.40
$2.50
$4.00
If X and Y are two finite sets such that
n(X) = 7,,n(Y) = 5 and n(X n Y) = 3, then
n(X u Y) is
(A)
(B)
(C)
(D)
17.
6
9
15
18
$3
$3
$3
$3
775
800
825
875
At the end of any year a car is worth 5%
less than what it was worth at the beginning
of the year. If a car was worth SI 0 000 in
January 2011, then its Yalue in December
2011 was
(A)
(B)
(C)
(D)
$9 995
$9 500
$9 025
$9 000
Item 14 refers to the Venn diagram below.
u
p
Q
18.
Tom bought a pen for S60 and sold it to gain
20% on his cost price. How much money
did he gain?
(A)
(B)
(C)
(D)
14.
$12
$40
$72
$80
IfP= {Factorsof6} andQ={Factorsof4},
then the shaded region represents
19.
(A)
{}
(C)
{1, 2}
{4,6,8 ... }
{ 12, 24, 36 ... }
ca)
(D)
Mr. Duncan bought a table at a discount
of 30% thus saving 542. What was the
marked price of the table?
(A)
(B)
(C)
(D)
$ 98.
$110
$140
$182
GO ON TO THE NEXT PAGE
01234010/F 2013
-5-
20.
If the simple interest on $800 for 3 years is
$54, what is the rate of interest per annum?
25.
If 5(2.x- I)= 35, then x =
-4
(A)
(A)
(B)
(C)
(D)
io/o
9
(B)
2_!_ %
4
5%
(C)
3
(D)
4
44%
26.
21.
(C)
(D)
22.
2x3 =
(B)
(C)
(D)
27.
6x 5
6x 6
5x6
72x5
If x = 4 and y = 2, what is the value of
x 2 +3y
xy
(A)
1~
(A)
(B)
2_!_
2
(C)
2~
(D)
2~
(C)
(D)
$
$
$
$1
105
210
370
050
Seven times the product of two numbers,
a and b, may be written as
(A)
(B)
(C)
(D)
7ab
49ab
7a+ b
7(a+ b)
28.
If xis an integer that satisfies the inequality
4 < 2x's; 6, then
(A)
(B)
(C)
(D)
4
8
4
The sum of two positive numbers (p and q)
is 32. Their difference is 12. What is the
SMALLER number?
(A)
(C)
10
12
20
(D)
22
(B)
24.
x
If$7 000 is borrowed at the rate of5% per
annum for 3 years, the simple interest is
(B)
23.
$20.00
$21.50
$24.50
$26.00
3x2
(A)
At a sale, each book was marked $3.00 off
the original price. Daniel paid $46.00 for
two books that had the same sale price.
What was the original cost of ONE of his
books/
(A)
(B)
4
2<x::;3
-2 < x::; 3
-3 < x::; 2
-3s;x<-2
GO ON TO THE NEXT PAGE
01234010/F 2013
-6-
29.
Item 33 refers to the diagram below.
When 6 is added to a number and the sum
is divided by three, the result is four. This
statement written in mathematical symbols
lS
30.
(A)
6+x= 4
3
(B)
6
-+x=4
3
(C)
-- = -
(D)
6+-=4
3
6+x
3
4
33.
3
x
AOB is a sector of a circle such that angle
AOB = 60° and OB is runits long. The area
of AOB is
(A)
I
2
-trr
(B)
-trr
(C)
I z
-1Lr
The volume of a cube with edge 10 cm is
(A)
(B)
(C)
(D)
30cm3
100 cm 3
· 300 cm3
1 000 cm3
If3 +
~
(A)
-1
x
=
1
6
3
(D)
31.
6
1, then the value of x is
1
-trr
3
Item 34 refers to the figure below which
shows a triangle resting on a square.
(B)
5
32.
(C)
1
(D)
5
Scm
How many kilograms are there in one
tonne?
(A)
(B)
(C)
(D)
10
100
1 000
10 000
34.
The length of one side of the square is
5 cm and the height of the triangle is 4 cm.
What is the TOTAL area of the figure, in
cm2 ?
(A)
(B)
(C)
(D)
35
45
50
100
GO ON TO THE NEXT PAGE
01234010F 2013
- 7-
35.
Which of the figures below, not drawn
1
to scale, has an area equal to -(5+4) x 2
2
square units?
38.
~~ ]
(A)
(C)
y
y
]
(A)
5
(B)
5l
4
4
(B)
A man leaves home at 22: 15 hrs and reaches
his destination at 04:00 hrs on the following
day, in the same time zone ... How many
hours did the journey take?
39.
5
(C)
6
(D)
6_!_
4
The perimeter of a square is 48 cm. What
is the area, in cm2 ?
(A)
(B)
(C)
(D)
]
36
72
108
144
5
40.
(D)
36.
Among a group of employees, the highest
paid receives a weekly wage of $105.40.
If the range of the wages is $27.50, how
much does the LOWEST paid employee
receive?
(A)
(1=l)
(C)
(D)
A car travels 80 kilometres in 2_!_ hours.
2
$ 27.50
$ 66.45
$ 77.90
$105.40
What is its speed in kilometres per hour?
(A)
(B)
(C)
(D)
6
32
82.5
200
Item 41 refers to the information below
which shows the scores obtained by eleven
footballers in a goal-shoot competition:
5, 3, 6, 8, 7, 8, 3, 11, 6, 3, 2
37.
The area of a rectangle is 53.6 cm 2 • If the
length is multiplied by four and the width
is halved, the area would then be
(A)
(B)
(C)
(D)
26.8 cm 2
53.6 cm 2
107.2cm2
214.4 cm 2
41.
The modal score is
(A)
(B)
(C)
(D)
3
6
8
11
GO ON TO THE NEXT PAGE
01234010/F 2013
-8-
42.
A bag contains 2 red, 4 yellow and 6 blue
marbles of similar size and shape. The
probability of drawing a blue marble from
the bag at random is
Item 44 refers to the pie-chart below which
shows the preference in drinks of a group
of students.
1
(A)
6
(B)
Pineapple
juice
3
1
(C)
2
Milk
6
f1
(D)
Item 43 refers to the bar chart below which
shows the ages of children who took part
in a survey.
44.
If 12 students prefer chocolate, then the
TOTAL number of students is
(A)
(B)
(C)
(D)
5
48
72
180
360
=
4
~
:g
:cu
...
=
45.
3
I.
~
,Q
e2
z=
1
Of 120 students writing an exam, l 00 are
expected to pass. The estimated probability
that a randomly selected student will FAIL
the exam is
(A)
1
6
0
4
5
6
7
Ages in years
8
(B)
5
(C)
43.
How many children took part in the survey?
(D)
(A)
5
(B)
(C)
(D)
15
75
87
01234010/F 2013
1
2
5
6
GO ON TO THE NEXT PAGE
-9-
46.
Which of the following diagrams illustrates
a function?
Item 49 refers to the graph below.
y
2
(A)
1
(B)
49.
The straight line AB cuts they axis at
(A)
(B)
(C)
(D)
(C)
50.
(D)
(0, 3)
(0, 2)
(3, -2)
(0, -2)
What is the gradient of the straight line
2y + 3x =-8?
-3
(A)
3
(B)
2
Item 47 refers to the diagram below.
2
(C)
-3
47.
48.
-2
-1
0
2
3
4
(D)
The graph of the inequality in the diagram
is defined by
(A)
(B)
(C)
x< 1
x>l
(D)
x :'.S 1
Iff(x)
3
3
Item 51 refers to the following diagram of
a function.
f
x
~
y
x~l
=
2x2- 1, then f(-3)
(A)
(B)
(C)
-32
-19
17
(D)
35
=
51.
Which of the following statements BEST
describes the function?
(A)
(B)
(C)
(D)
y +3 ·
y = 2x + 1
f(x) = 3 ‒ x
f(x)=x+3
x
=
GO ON TO THE NEXT PAGE
01234010/F 2013
- 10 -
52.
If the sum of the interior angles of a
polygon is 4 right angles, then the polygon
is a
(A)
(B)
( C)
(D)
Item 56 refers to the following diagram.
·1
c
J)
triangle
hexagon
pentagon
quadrilateral
\
\
\
\
Item 53 refers to the following diagram.
\
\
A
I
56.
53.
In the diagram AB and CD are parallel.
Which of the following BEST describes
the relatio.n between x and y?
(A)
(B)
(C)
(D)
x =y
x>y
x+ y> 2x
x + y < 2x
E
B
I
I
How many triangles congruent to ~ADE
would be needed to cover the rectangle
ABCD entirely?
(A)
2
(B)
4
(C)
(D)
6
8
Item 57 refers to triangle ABC below.
Item 54 refers to the triangle below.
B
c
A
54.
In the triangle, the value of x is
57.
(A)
(B)
(C)
(D)
55.
30°
60°
120°
150°
The image of the point P (-3, 2) under the
tra'tislation (
(A)
(B)
(C)
(D)
~)
In the triangle, not drawn to scale, angle
BA C = 30° and AB= 40 m. The length BC,
in metres, is
(A)
(B)
(C)
(D)
40 sin 30°
40 tan 30°
40 sin 60°
40 tan 60°
is
(-5, 3)
(-2, 4)
(-1,1)
(-1, 3)
GO ON TO THE NEXT PAGE
01234010/F 2013
- 11 -
Item 58 refers to the triangle LMN below.
59.
M
L~N
58.
(A)
(B)
(C)
(D)
Triangle LMN is rotated in a clockwise
direction about L through an angle of 90°.
What is its image?
(A)
A plane is flying in a direction of 045° and
changes course in a clockwise direction to
135°. The angle through which the plane
turns is
L~N'
45°
90°
135°
270°
Item 60 refers to the following graph.
M'
(B)
L
M'
N'
(C)
N'~L
M'
(D)
60.
L
A' B' C' is the image of ABC under an
enlargement of scale factor 2. The area of
At B' C', in square units, is
(A)
(B)
(C)
(D)
M'
2
4
8
12
N'
END OFTEST
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
01234010/F 2013
TEST CODE
FORM TP 2015088
01234010
MAY/JUNE 2015
CARIBBEAN SECONDARY EDUCATION CERTIFICATE®
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 01 - General Proficiency
1hour30 minutes
( 20 MAY 2015 (p.m.))
READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
I
1.
This test consists of 60 items. You will have 1 hour and 30 minutes to answer them.
2.
In addition to this booklet, you should have an answer sheet.
3.
A list of formulae is provided on page 2 of this booklet.
4.
Each item in this has four suggested answers lettered (A), (B), (C), (D). Read each item
you are about to answer, and decide which choice is best.
5.
On your answer sheet, find the number which corresponds to your item and shade the space
having the same letter as the answer you have chosen. Look at the sample item below.
Sample Item
2a + 6a =
(A)
(B) :
·,, (C)
(D)
Sample Answer
9®©@
8a
8a2
l2a
l2a2
The best answer to this item is "8a", so (A) has been shaded.
----
6.
If you want to change your answer, erase it completely before you fill in your new choice.
7.
When you are told to begin, turn the page and work as quickly and as carefully as you can.
If you cannot answer an item, go on to the next one. You may return to that item later.
8.
You may do any rough work in this booklet.
9.
Calculators and mathematical tables are NOT allowed for this paper.
i iiiii
iiiiii
!!!!!!!!!
-
i iiiii
DO NOT TURN TIDS PAGE UNTIL YOU ARE TOLD TO DO SO.
Copyright © 2014 Caribbean Examinations Council
All rights reserved.
-2LIST OF FORMULAE
Volume of a prism
V = Ah where A is the area of a cross-section and h is the perpendicular
length.
Volume of cylinder
V
= m:ih where r is the radius of the base and his the perpendicular height.
Volume of a; right pyramid
V
=
Circumference of a circle
C = 2nr where r is the radius of the circle.
.!. Ah where A is the area of the base and h is the perpendicular height.
3
'
__!_ x 2nr where 8° is the angle subtended by the arc.
Arc length
S=
Area of a circle
A
Area of a sector of a circle
A=
Area of trapezium
1
A= 2
360
= nr2 where r is the radius of the circle.
e
360
x
nr2 where 8° is the angle in the sector.
(a+ b) h where a and bare the lengths of the parallel sides and his
the perpendicular distance between the parallel sides.
Roots of quadratic equations
If ax2 + bx + c
= 0,
then x = -b ± .Jbz -4ac
:
2a
I
Trigonometric ratios
opposite side
hypotenuse
sin 8
cos 0
tan8
Area of triangle,
Opposite
adjacent side
hypotenuse
=
opposite side
Adjacent
adjacent side
Area of MBC = ]:__bh where bis the length of the
2
:;
base and h is the perpendicular height
Area of MBC = .!_ab sin C
2
=
Area of MBC
Js (s-a) (s-b) (s-c)
where s = a + b + c
2
a
b
Sine rule
SinA
SinB
Cosine rule
a2
c
SinC
--=--=--
= b2 + c 2
-
2bc cos A
I
GO ON TO THE NEXT PAG,
01234010/F 2015
-31.
(-3) 2 + (-2) 2 is equal to
(A)
(B)
(C)
(D~
2.
-13
-10
13
25
1
What number when added to 1 3 gives 2?
1
3
(Aj
2
(B)
3.
1
(D)
3
Ann and Betty shared a sum of money in
the ratio 2:3. Ann received $120. What
was Betty's share?
5.
(A)
6
100
(B)
6
10
(C)
6
(D)
600
The H.C.F. of 12, 15 and 60.is :
(A)
(B)
(C)
(D)
9.
$ 72
$ 80
$180
$300
11.1-;... 0.01 is equal to
(A)
(B)
(C)
(D)
8.
What is the value of the digit 6 in the
number 48.061?
3
(C)
(A)
(B)
(C)
(D)
4.
7.
110
111
1 100
1 110
::
Using the distributive property
49 x 17 + 49 x 3 =
(A)
(B)
(C)
(D)
10.
1
3
12
60
49 x 20
49 + 20
52 x 66
52 + 66
The next term in the sequence
1, 6, 13, 22, 33, _ __ , ...
(A)
(B)
(C)
(D)
A test was marked out of80. A boy scored
IS
44
45
46
52
60% of the marks on the test. How many
marks did he score?
(A)
(B)
(C)
(D)
6.
20
48
60
75
If 30% of a number is 45, what is the
number?
(A)
(B)
(C)
(D)
30
54
150
180
11.
Given that P
= {2, 3, 5, 6} and Q = {2, 3, 4}
then P u Q is described as
(A)
{x: 1:::; x < 7; xEN}
(B)
{x:l<x<7;xEN}
(C)
{x: 2:::; x < 6; xEN}
(D)
{x:2<x<6;xEN}
GO ON TO THE NEXT PAGE
01234010/F 2015
-4-
Item 12 refers to the Venn diagram below.
15.
Mrs Jones' taxable income is $18 400. She
pays tax at a rate of 20%. The amount of
income tax she pays is
(A)
(B)
(C)
(D)
12.
In the Venn diagram, the shaded area
represents
(A)
(B)
(C)
(D)
13.
16.
P'
(Pu Q)'
Q u P'
Q n P'
(A)
(B)
(C)
(D)
The value of a plot ofland is $18 000. Land
tax is charged at the rate of$0.70 per $100
value. What is the TOTAL amount of tax
paid for the land?
(A)
(B)
(C)
(D)
In a group of 40 students, 28 play tennis
f-nd 22 play chess. What is the LEAST
number of students who play BOTH tennis
and chess?
17.
6
10
12
18
$9 200
$4 600
$3 680
$1 472
$110.00
$126.00
$180.70
$257.15
At the end of any year a car is worth 5%
less than what it was worth at the beginning
of the year. If a certain car was worth
$10 000 at the beginning of 2014, then its
value at the end of 2014 was
(A)
(B)
(C)
(D)
$9
$9
$9
$9
995
500
025
000
Item 14 refers to the Venn diagram below.
u
p
18.
Q
A n;ian bought a mobile phone for $800 and
sold it for $1 000. What was his profit as
a percentage of the cost price?
(A)
(B)
;T ;
(C)
(D)
5%
15 %
20%
25 %
[
14.
;Iff= {Factorsof6} andQ={Factorsof4},
,thtin the shaded region represents
(A)
;(B)
1CC)
(CD,)
(
{ }
{1, 2}
{4, 6,8 . .. }
{12,24, 36 ... }
'
19.
Susan bought a calculator for $120. She
had to pay sales tax of 10% on the price.
How much change would she receive
from $140?
(A)
(B)
(C)
(D)
$ 8
$12
$28
$32
GO ON TO THE NEXT PAGE
01234010/F 2015
-5-
20.
The simple interest on a loan of $6 000 for
3 years was $900. What was the rate of
interest per annum?
(A)
(B)
(C)
(D)
21.
(B)
(C)
(D)
22.
(A)
(C)
(D)
~
25.
$
$
$
$1
26.
105
210
370
050
lS
(A)
(A)
(B)
(C)
(D)
(B)
(C)
24.
Ifxis an integer that satisfies the inequality
4 < 2x :S 6, then
(A)
(B)
(C)
(D)
2 < x:S3
-2 < x :S 3
- 3 <x :S2
- 3 :Sx < - 2
(D)
28.
6x 5
6x6
5x6
72x 5
m2
.
P = - - . When m = -3, the value of P
2-m
-2(x-4)=
-2x+8
-2x+4
-2x-4
-2x-8
5 xy
5 (x + y)
2x+ 3y
3x+2y
3x2 x 2x3 =
(A)
(B)
(C)
(D)
27.
23.
'
The total cost of 3 pens and 2 boxes is
(A)
(B)
(C)
(D)
$ 1.80
$ 10.00
$ 18.00
$170.00
If $7 000 is borrowed at the rate of 5% per
amium for 3 years, the simple interest is
(B)
( 0
2%
3%
5%
18%
A dress which costs $180 is being sold
at a discount of 10%. The amount of the
discount is
(A)
Item 25 refers to the information below
which shows the cost of a pen and a box.
If a* b
(A)
-6
-6
5
9
5
9
b
= -a -
r
1, then 7 * 28 = j
.
3
4
(B)
1
4
(C)
3
(D)
4
GO ON TO THE NEXT PAGE
01234010/F 2015
29.
30.
If 5x - 26
(A)
-12
(B)
(C)
-6
6
(D)
19
John has x marbles and Max has twice as
niany. Max gives John 5 of his marbles.
How many marbles does Max now have?
(A)
(B)
(C)
(D)
31.
Item 35 refers to the diagram below.
A
35.
x+ 5
x-5
2x-5
2x + 5
When 8 is subtracted from a certain
number and the result is multiplied by 3
the answer is 21. What is the original
number?
(A)
(B)
(C)
(D)
32.
= x + 50, then the value of xis
1
3
10
15
~)
(B)
-Jrr
36.
(D)
-Jrr
~D)
34.
1
.1
,G IVen
that 1 mi·11·1metre =
I
1000
(A)
88n
(B)
176n
{A)
'(B)
:(C)
•(D)
0.25
2.5
25
250
88
88
A man leaves home at 22: 15 hours and
reaches his destination at 04:00 hours on
the following day in the same time zone.
How many hours did the journey take?
(A)
5
(B)
5~
(C)
6
(D)
6_.!_
I
'express 2 500 millimetres in metres.
1
3
2Jr
37.
-l- metres,
2
The distance around the edge of a circular
pond is 88 metres. The radius, in metres,
(D)
What is its speed in kilometres per hour?
KC)
1
3
-Jrr
lS
30 cm3
100 cm3
300 cm3
1 000 cm3
6.5
32.0
82.5
200.0
1
(C)
\A car travels 80 kilometres in 2)12 hours.
'.(A)
(B) .
?
-Jrr-
(C)
33.
1
6
(A)
6
(he volume of a cube with edge 10 cm is
(A)
(B)
,(C)
AOB is a sector of a circle such that angle
AOB = 60° and OB is runits long. The area
of AOB is
4
4
GO ON TO THE NEXT PAGE
01234010/F 2015
'
'
-738.
Items 41-42 refer to the histogram below
which shows the number of children aged
4, 5, 6, 7 and 8 who took part in a survey.
The area of a triangle is 3 0 cm2 and its base
is 10 cm. What is the height, in cm, of the
triangle?
(A)
(B)
(C)
(D)
6
12
13
17
5
=
... 4
~
;g
.....
39.
-=
._
The perimeter of a square is 48 cm. What
is the area, in cm2 ?
~
3
Q
...
s
~
,Q
(A)
(B)
(C)
(D)
z=
36
72
108
144
2
1
0
4
7
5
6
Ages in years
8
Item 40 refers to the diagram below.
41.
What was the modal age?
(A)
(B)
(C)
(D)
40.
The diagram, not drawn to scale, shows
a cylinder of radius 3 cm and height 8 cm.
The volume is
(A)
(B)
(C)
(D)
12 n
48 n
72 n
192 n
cm3
cm3
cm3
cm3
42.
5
6
7
8
How many children took part in the survey?
(A)
(B)
(C)
(D)
5
15
75
87
GO ON TO THE NEXT PAGE
01234010/F 2015
- 8-
43 .
Jade's scores on her nine spelling tests are
Item 46 refers to the graph below.
5, 7, 7, 4, 5, 4, 7, 6, 6.
y
Therefore, her median score on these nine
tests is
(A)
(B)
(C)
(D)
44.
2
4
5
1
6
7
:If the mean of the four numbers 4, 8, x and
;12 is 10, thenx is
(A)
(B)
(C)
(D)
45.
4
10
12
16
46.
(A)
(B)
(C)
(D)
·The boundaries of the class interval I 0 -14
.are BESTrecorded as
1CA)
IO:::;x:::;I4
(B)
9.5<x < I4
(c:;)
9.5 :::;x < 14.5
' (D)
IO:::;x:::;I4.5
I
I
The straight line AB cuts the x-axis at
(3, 0)
(-2, 0)
(0, 3)
(0, -2)
Item 47 refers to the diagram below.
47.
The relationship that BEST describes the
mapping shown in the diagram is
(A)
(B)
(C)
(D)
48.
one-to-one
many-to-one
one-to-many
many-to-many
Iff(x) = 2x2 - 1, then f(- 3) =
(A)
(B)
(C)
(D)
-32
-19
17
35
GO ON TO THE NEXT PAGE
01234010/F 2015
-9-
Items 49-50 refer to the graph below.
52.
If the sum of the interior angles of a
polygon is 4 right angles, then the polygon
IS a
(A)
(B)
(C)
(D)
triangle
hexagon
pentagon
quadrilateral
Item 53 refers to the following
49.
The maximum point of y
(A)
(B)
(C)
(D)
50.
=
4x - x 2 is
(0, 0)
(0, 4)
(4,2)
(2, 4)
53.
The values of x at the points where
y = 4x - x 2 intersects y = 0 are
In the diagram, AB and CD are parallel.
Which of the following BEST describes
the relation between x and y?
(A)
(B)
(C)
(D)
x = 0 and x = 4
x = 0 and x = 2
x = 0 and x = - 4
x=2andx=4
(A)
(B)
(C)
(D)
~iagram.
x+y< 2x
x= y
x+y> 2x
x >y
Item 54 refers to the triangle below.
Item 51 refers to the arrow diagram below,
which shows function.
a
y
x
54.
In the triangle, the value of x is
(A)
(B)
(C)
(D)
51.
30°
60°
120°
150°
Which of the following BEST describes
the function?
(A)
(B)
(C)
(D)
f(x) = x + 3
f(x) = y + 3
x = y +3
y =x
GO ON TO THE NEXT PAGE
01234010/F 2015
- 10 -
Item 55 refers to the diagram below.
Item 57 refers to triangle ABC below.
B
c
A
57.
In the triangle, not drawn to scale, angle
BAC= 30° and AB= 40 m. The length BC,
in metres, is
(A)
(B)
(C)
(D)
55.
In the diagram, b..OPQ is mapped onto
b..OP' Q'. What type of transformation has
taken place?
(A)
(B)
(C)
(b)
I
40 sin 30°
40 tan 30°
40 sin 60°
40 tan 60°
Item 58 refers to the diagram below.
Reflection
Enlargement
Translation
Rotation
B' (7, 8)
B (5, 7)
/
y
~'(4
I
Item 56 refers to the following pair of
~irnilar triangles.
A (2, 5)
'
6)
c
x
58.
6cm
56.
B
In the diagram, the translation by which AB
is mapped onto A'B' is represented by
(A)
G)
(B)
G)
(C)
(~)
(D)
G)
The length of MO, .in centimetres, is
(A)
3
3.5
(B)
(C)
6
(D)
7
GO ON TO THE NEXT PAGE
01234010/F 2015
Item 60 refers to the diagram of a building
. f
below.
·
Item 59 refers to the diagram below
which shows a ladder 5 metres long
leaning against a vertical wall. The foot
of the ladder is on horizontal ground
about 3 metres away from the wall.
~3m
A surveyor sets up his instruments
12 metres fromthe foot of a building, and
records the angle of elevation of the top of
the building.
EB EB EB
EB EB EB
EBOtE
)
''
''
''
12m
59.
How far up the wall does the ladder reach?
(A)
4m
(B)
6m
8m
15 m
(C)
(D)
60.
An estimate of the height of the building is
obtained by calculating
(A)
(B)
(C)
(D)
12 tan 40°
12 sin 40°
1.6 + 12 cos 40°
1.6 + 12 tan 40°
END OFTEST
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON TIDS TEST.
01234010/F 2015
CSEC Mathematics June 2016 P1
1.
In standard form 0.0325 is written
(A)
(B)
(c)
(D)
2.
as
(c)
(D)
The EXACT value
of
(A)
0.207
lDa
(B)
0.0207
10-'
(c)
l0z
(D)
20.7000
20 700
7.
3.3 x 2.5 + J.J x ).J
5 yo
20 %
(A)
(B)
32yo
(c)
t3.25
1s0 %
(D)
22.50
540 beads are shared in the ratio 4:5. The
LARGER share of beads is
(A)
(B)
6.
l0-3
What percentage of 40 is 8?
(A)
(B)
(c)
(D)
3
3.25 x
3.25 x
3.25 x
3.25 x
-3-
8.
I
000 "
:
8.2s
9.00
What is the value of the digit 2 in the
number 48.6212
(A)
60
37.26+1.8
2
100
240
300
432
(B)
')
10
4.
(c)
2
(D)
200
18.96 x 2.03 correct to two significant
figures equals
(A)
(B)
38
(c)
38.1 0
(D)
0.38
9
The LARGEST prime number that is less
than 100 is
380
(A)
(B)
5-
9l
0.45 written as a common fraction, in its
(c)
93
97
simplest form, is
(D)
99
o
(A)
'
2A
(B)
4
If
3n is an odd number, which of the
following is an even number?
=)
(A)
(B)
3n-l
9
(c)
10
(D)
3n-2
Jn*2n
(c)
(D)
10
3n+2
:
4
GO ON TO THE NEXT PAGE
0r2340t08 2016
-4Item
11 refers to the
following
information.
.
15.
TT$15.00 in US dollars is
P: {prime numbers}
g: {odd numbers}
R: {even numbers}
11.
t2
(A)
(B)
(c)
(D)
Which of the following sets is empty?
(c)
PNR
PwQ
PNQ
(D)
8nR
(A)
(B)
The set
{-x: 6 <
r
16.
(D)
{z,
g, g,
The cost price of
(A)
(B)
(c)
I is an integer} is
(A) {6,t,t,9}
(B) {6,7,8,9, t}l
{t,\el
(D)
17.
If
(A)
(B)
t0}
(D)
Q:
{a, b, c} how many subsets can be
obtained from the set Q?
(A)
(B)
2+3
)xa
(c)
32
(D)
23
18.
$
1
850.00.
$1e42.s0
$1845.00
sl7s7.so
$1350.00
$6
$20
$36
$40
A dinner at a restaurant was advertised at
$60 plus l8o tax. The total bill for this
(A)
(B)
(c)
(D)
$60.00
$70.80
$78.00
$81.60
{P, Q, r}
u= {p,q}
14.
refrigerator is
dinner was
Item 14 refers to the following information.
M:
a
Tomboughtapen for$30 and sold itto gain
20Yo on his cost price. How much money
did he gain?
(c)
t3
$0.2s
$0.40
$2.50
$4.00
Abuyer who is given a discount of 5% for
a cash purchase will pay
< 10, where
(c)
If TT$6.00 is equivalent to US$I.00, then
Which of the foltowing statements is
TRUE?
(A) McN
(B) MwN=N
(c) MaN={l
19.
A television set costs $350 cash. When
bought on hire-purchase, a deposit of
$35 is required, followed by 12 monthly
payments of $30. How much is saved by
paying cash?
(A)
(B)
(c)
(D)
$10
$2s
$40
$4s
(D) MnN=N
012340r0/F 2016
GO ON TO THE NEXT PAGE
-520.
The simple interest on a sum of money
invested at5o/o per annum for 3 years was
24
t2
5x
3x
$90.
The sum of money invested was
(A)
(A)
(B)
(B)
(c)
(D)
2t
8x2
$ 54
$ 150
$ 600
$ 13 50
A woman buys a pair of
25
30
(c)
33
(c)
(D)
shoes at a sale.
22
25.
(D)
Using the distributive law,
(P * q) - (P x r) is simPlified to
(c) f-q,
1
(D) p(q-r)
80
interest on $900 for 3 years
what
was the rate of interest?
was $108,
(c)
13
(A) - qr
(B) -2Pq,
If the simple
(A)
(B)
t3
l5x2
15x
3
(D)
3
8x
She pays $45, saving $15 on the normal
price. The percentage discount on the pair
of shoes is
(A)
(B)
3
26.
lf
x: -2,y:3, t:2,
v
9
4%
lzYo
25%
4
(B)
9
4
(c)
3
23. 3* x ?i:
2
(D)
(A)
(B)
x
4
(A)
3Yo
then
4
6xs
sf
(c)
6f
(D)
72x5
27
lfp*q:2P*q,then2*3is
(A)
(B)
5
7
(c)
8
(D)
9
GO ON TO THE NEXT PAGE
-628.
If
5(2.x
- 1) :
32.
:
3 800 millimetres expressed in metres is
(A) -4
(A)
(B)
I
(c)
4
(D)
(B)
29
35, then x
(c)
a
(D)
4
of
x2+3v
xy
ifx:4
and
-,
I
J
4
I
2
33.
2
(c)
380
Item 33 refers to the following diagram.
y=2?
(B)
3.8
38
J
What is the value
(A)
0.38
3
2
The circle shown in the diagram, not
drawn to scale, has a centre at O. The area
of the circle, in cnf, is
8
(D)
30.
2
t
(A)
(B)
4
When 6 is added to a number and the sum
is divided by three, the result is four. This
statement written in mathematical symbols
34.
is
(A)
9
(c)
6+x _4
(D)
6+I=4
33
I
3
When 5 is added to a certain number and
the result is multiplied by 3 the final answer
is 27. What is the original number?
(A)
(B)
(c)
(D)
36tt
10 800 seconds expressed in hours is
3
18
30
180
*r=4
3
31
(D)
(D)
--4
(B)
12tt
(c)
3
9r
(c)
(A)
(B)
6+x
6n
35
The volume, in cm3, of a cube of edge
3cmis
(A)
(B)
9
18
(c)
27
(D)
54
4
12
14
le
GO ON TO THE NEXT PAGE
nr^arnlnm^nlz
1
Item 36 refers to the following diagram.
P
Item 39 refers to the following diagram.
oo
36.
The figure above, not drawn to scale, shows
a sector of a circle centre O. The length
of the minor arc PQ is 8 cm. What is the
length of the circumference of the circle?
(A)
(B)
(C)
(D)
16 cm
5cm
39.
24 cm
48 cm
64 cm
The diagram above, not drawn to scale,
consists of a triangle resting on a square of
s.ide 5 cm. The height of the triangle is
4 cm.
What is the TOTAL area of the figure?
A man starred a journey at 09:30 h and
arrir.ed at his destination, in the same
time zone, at 13:30 h on the same day. If
his average speed was 30 km,/h, then the
distance, in km, for the journey was
37
(A)
(B)
(c)
(D)
(A)
(B)
(C)
(D)
35 cm2
45 cmz
50 cm2
100 cmz
120
40
133
The score which occurs most frequently in
a distribution is defined as the
400
430
Item 38 refers to the following diagram.
s *-8cm--*
(A)
(B)
median
(c)
range
mode
(D)
mean
R
5cm
P
38.
cm____> a
<_19
The area of the trapezium peRS above is
(A)
(B)
45 cm2
(c)
65 cm2
90 cm2
(D)
130 cm2
A1'r?AA1ntE 1^1 K
GO ON TO THE NEXT PAGE
-8Item 41 refers to the following bar chart.
Item 44 refers to the following diagram.
A
E
q)
rr
5
4
q,
3
c
()
E
Mitk
2
o
z I
0
juice
45678
Age in yearr
4t
Pineapple
B
Chocolate
The bar chart shows the ages of children
who took part in a survey.
D
C
Howmany children took part in the survey?
(A)
(B)
(c)
(D)
44.
15
The piechart above shows the preference in
drinks ofa group ofstudents. Each student
may select only one drink.
7s
87
If
s
12 students prefer chocolate, then the
TOTAL number of students is
Item 42 refers to the eight scores below.
(A)
(B)
101547
8814
t
t')
ii
42.
The median of the scores presented above
is
(A)
(B)
4
7.25
(c)
7.50
(D)
8
45
(c)
48
72
180
(D)
360
lf
the mean of the numbers 2x, 3x, 4x and
3x is 12, then the sum of the numbers is
(A)
(B)
(c)
(D)
43.
In a class of20 students, l2 are girls. What
is the probability that a student chosen at
random is a boy?
46.
4
12
48
80
The equation of the line which passes
through the point (0,5) and has a gradient
of4is
(A)
20
(A)
(B)
!:4x
y: 5x
20
(c)
Y:4x
2
(D)
8
(B)
(c)
+5
Y:5x+4
20
8
(D)
t2
nl)?Afifin
)n1 6
GO ON TO THE NEXT PAGE
-9-
49.
refers to the following graph.
@_47
v
2
1
Ifflx) :
f
(A)
(B)
l9
24
(c)
29
(D)
3l
-
x- l, thenl-5) :
B
x
0
3
50
47.
The straight line AB cuts they axis at
(A)
(B)
(0, 3)
(c)
(3, --2)
(0, --2)
(D)
What is the gradient of the straight line
2y:-3x-8?
1
(A)
-J
(B)
-3
2
(0,2)
51
(c)
2
(D)
J
The range of f:x
{-2,
Item 48 refers to the following graph.
I
5
-l,0, l, 2}is
(A)
(B)
v
I
--*.f for the domain
t32, l, 0, 1, 32]i
(c)
{10,5,0,5, 10}
{-10, -3,0,3, 10}
(D)
{12,-1,0,1,32\
4
Item 52 refers to the following diagram.
B
3
PP,
2
I aIz
I
0
48
I
I
8
The gradient
o
x
o
ofAB in the graph above is
R
(A)
-2
(B)
2
(c)
I
2
(D)
01
??4nl
nE )il
A
52
,R
What transformation maps PpR onto
P'Q, R, ?
(A)
(B)
I
(c)
2
(D)
Enlargement
Rotation
Translation
Reflection
GO ON TO THE NEXT PAGE
-1053.
The image of a point P(1, 2) under a
translation is P' (-5, -4). What is the
Item 56 refers to the following diagram.
translation vector?
(A)
(B)
(c)
(D)
tr)
E)
(;)
E
56.
In the diagram, AB is parallel to EC. The
measure of <BDE is
i:)
(A)
(B)
Item 54 refers to the following diagram.
A
B
C
D
400
(c)
50"
140"
(D)
180.
Item 57 refers to the diagram below
C
54
In the diagram AB and CD are parallel.
Which of the following BEST describes
cm
4cm
the relation betweenx andy?
(A) x: y
(B) x> v
(C) x*!>b
(D) x+!<b
57
c
t5 crs
5t
17 cm
In the right-angled triangle above, which
trigonometric ratio is equal a
Item 55 refers to triangle ABCbelow.
A
A
B
xcm
(A)
(B)
(C)
(D)
f,
sinx
tany
cos x
tan x
B
ln the triangle ABC, not drawn to scale,lB
is l7 cm, AC is 15 cm, BC is x cm and angle
BCA is 90". The value ofx is
(A)
(B)
7
(c)
9
(D)
t2
8
GO ON TO THE NEXT PAGE
orr?4n1nm ?nl6
-
ll
-
Item 58 refers to the following diagram
Item 60 refers to the following diagram
Z
58.
In the isosceles triangle shown above, the
value
ofx
is
(A)
(B)
30
60
(c)
120
(D)
150
x
60
ltem 59 refers to the following diagram.
Y
The diagram above, not drawn to scale,
shows the angle of depression of a point
Xfrom Z is 30". IfXis 10 metres from Ii
the height of YZ, in metres, is
(A)
(B)
(C)
(D)
59
10m
10
10
10
10
tan 30"
sin 30"
cos 30"
cos 60"
OAA', OBB' and OCC' are straight lines.
*,ABC is mapped onto *l'B'C' by an
enlargement with centre O. What is the scale
factor of the enlargement?
(A)
I
2
(B)
I
2
(c)
2
(D)
.|
END OF TEST
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
012340t0/P 2016
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