CSEC Mathematics January 2014 P1
L
-3.
The number 3. I 4063 written correct to
3 decimal places is
(A)
(B)
(C)
(0)
6.
3.140
3.141
3.146
3.150
In a school the ratio of the number
of pupils to the number of teachers is
20 : I. If the number of.pupils is 840,
how many teachers are there?
(A)
(8)
(C)
(0)
2.
If4.3 x 0.37 = 1.591, then 0.43 x 370 is
(A)
(B)
(C)
(0)
3.
(A)
9~
(8)
9~
(C)
9.!2
7.
(0)
8.
35
35
(0)
9.
(8)
(C)
(0)
0.38
38
38.IO
38.11
If $350 is shared in the ratio 2:5, the
SMALLER share is
(A)
(B)
(C)
(0)
$250
$175
$100
$ 70
9
18
90
I 080
. 99 x I 0 I has the same value as ·
(A)
(8)
(C)
(0)
10.
3n- I
3n + 2
3n - 2
3n + 2n
Wha_t is the HIGHEST common factor
of the set of numbers (54, 72, 90}?
(A)
(B)
(C)
35
929
35
If 3n is an odd number, which of the
following is an even number?
(A)
(8)
(C)
Written correct to two significant figures,
18.96 x 2.03 is
(A)
5.
1.59I
I5.91
. 159.1
1591.0
·2
3
5- + 4-=
7
5
(0)
4.
40
42
800
840
(99 x JOO)+ I
(99 x I 00) - (99 x I)
(99 x 100) + (99 x I)
(99 x I 00) (99 x I)
The first three common multiples of 3,
4 and 6 are
(A)
(8)
(C)
(0)
0, I, 2_
3, 4, 6
6, 8, 12
12,24,36
GO ON TO THE NEXT PAGE
-4lL
If p;: {2,3,5,7),
Q = (2,3,6} and
s = {2,4,5}
Item 13 refers to the Venn diagram below.
u
H
v
ThenP n Q n S=
5
{2}
{2,3}
{2, 3, 5}
(2, 3, 4, 5, 6, 7}
(A)
(B)
(C)
(D)
2
4
3
Item 12 refers to the Venn diagram below.
u
B.
In the Venn diagram
U = {students who play games}
H = {students who play hockey}
V = (students who play volleyball}
Q
p
The number of students in each set is
shown. How many students do NOT
play volleyball? .
12.
In the Venn diagram, n(P) = 5, n(Q) = 9
and n(P v Q) = 10.
(A)
(B)
(C}
What is n(Q n P)?
(D)
(A)
(B)
(C)
(D)
4
5
9
14.
All students in a class play Scrabble
or Checkers or both. If 36% of the
students play Scrabble only and 48%
of the students play. Checkers only,·
what per<:entage of students play BOTH
games?
(A)
(B)
12
· CC)
84
88
(D)
15.
2
3
5
8
16
The cost ofa caiculatorexclusive of sales
tax is $.120 .. Susan boiight a calculator
arid had to pay a sales tiix of 10%. How
much change would she receive from
$1407
(A)
(B)
$ 8.00
$12.00
(C)
$28.00
$32.00
(D)
GO ON TO THE NEXT PAOE
-5-
!
L
\
-624.
5(2x - y) - 2(3y- 5x) =
(A)
(B)
(C)
(D)
25.
(C)
(D)
26.
(A)
- 12
(B)
(C)
-6
(A)
(B)
(C)
(D)
28.
32.
(C)
(D)
If x is an integer which satisfies the
inequalities 4 < x - 2 < 8, then the
SMALLEST possible value ofx is
(A)
(B)
7
6
(C)
(D)
5
4
4
{A)
2'
(B)
2'
2•
2"
How many .kilograms are there in one
tonne?
(C)
(D)
10
100
1 000
10 000
If it took a speed-boat 9 hours to travel
a distance Of 1 080 km, what was its
average speed, in kmh- 1?
{A).
(B)
(C)
(D)
34.
.J34
26 _,. 2 2 =
(A)
0.015
0.15
1.5
15.0
5
52
60
628
JS
(C)
(D)
(B)
33.
2
(B)
(C)
(D)
lf a= 5, b = 2, c = 4, then 6ab - 2c =
(A)
(B)
29.
31.
6
19
If 15 2 = 225 then the square root of
0.0225 is
Ifm*n= Jm'-n' ,then5 *3=
{A)
-6a
-Sa
5a'
6a'
If50-3x=x-26, thenx=
(D)
27.
·2ox- lly
5x-7y
2x-6y
- l ly
The value of ( - 2a) (- 3a) is
(A)
(B)
30.
12
102
120
1200
The distanc;:e around a lake is 8 km. On
a map, this distance around the lake is
represented by a length of 2 cm. The
scale on the map is
(A)
(B)
(C)
(D)
l : 40
1 : 2 000
l : 200 000
l : 400 000
GO ON TO THE NEXT PAGE
-7-
Item 35 refers to the diagram below, not
drawn to scale, which shows the sector
of a circle with centre, 0.
38.
p
A boy leaves home at 09: I 5 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
9km
(A)
(B)
(C)
(D)
Q
35.
In the diagram, the length oftheminorarc,
PQ, is 8 cm. What is the circumference
of the circle?
(A)
(B)
(C)
(D)
Item 39 refers to the diagram below, not
drawn to scale; which shows a cuboid.
16cm
24 cm
48cm
64 cm
t
5cm
+
36.
Fifty guests each had 2 glasses
of champagne. Each glass held
150 millilitres. How many litres of
champagne were used?
(A)
(B)
(C)
(D)
39.
0.15
1.5
15
150
The volume of the cuboid is 320 cm' and
the height is 5 cm. If the cuboid has a
square base, what is the length of one
side of the base?
(A)
(B)
(G)
(D)
8cm
16cm
32 cm
64cm
Item 40 refers to the information below.
Item 37 refers to the diagram below,
not drawn to scale, which shows a
trapezium.
The following scores were· obtained
by eleven footballers in a goal-shoot
competition:
5, 3, 6, 8, 7, 8, 3, 11, 6, 3, 3
40.
37.
The area of the trapezium is
(A)
(B)
(C)
(D)
The modal score is
(A)
(B)
(C)
(D)
3
6
8
11
45 cm'
65 cm'
90 cm2
130 cm2
GO ON TO THE NEXT PAGE
-8-
41.
The table below shows the frequency of
scores obtained by students in a test.
Item 45 refers to the pie-chart below
which shows the preference ..in drinks
of a group of students. AOC is a
diameter of the circle.
2 3 5 6 8 10
8 4 6 3 9 2
Scores
No. of Students
The range of the scores is
(A)
(B)
(C)
(D)
pineapple
juice
2
7
8
10
B
milk
A
42.
Six hundred students write an
examination. The probability of a
randomly selected student failing the
.. . . I
exammat1on .'s
45.
S.
(A)
(B)
(C)
(D)
How many students are expected to pass?
(A)
(B)
(C)
(D)
43.
Jn a class of 20 students, 12 are girls.
What is the probability that a student
chosen at random is a boy?
(A)
(B)
(C)
(D)
44.
120
480
500
600
If 12 students prefer lemonade, then the
TOTAL.number of students is
46.
48
72
180
360
Which of the following diagrams BEST
illustrates a function?
(A)
l
2
2
5
(B)
3
5
2
3
(C)
If the mean of the four numbers 4, 8, x
and 12 is 10, then x is
(A)
(B)
.(C)
(D)
4
10
12
(0)
16
00 ON TO THE NEXT PAGE
-9-
47.
The equation of the line which passes
through the point(0,2) and has a gradient
I .
0 f - IS
3
51.
(A)
{0, 1,4)
(A)
y= 3x
(B)
{0, 2,4)
(B)
y = 3x + 2
(C)
{-4,-1, 0, I, 4)
(C)
I
y= - x
3
(D)
{-4,-2, 0, 2,4)
(D)
I
Y =-x+2
.3
Items 52-53 refer to the diagram below.
AC and DE are straight lines intersecting
at B. Angle DBA = 58° .
.
Item 48 refers to the diagram below.
-
JC
-
0
I
I
2
2
3
8
c_
48.
The range off x -+ x' for the domain
{-2, -1, 0, I, 2}is
.
'
A
E
The diagram represents the mapping
52.
(C)
(D)
x-+ x + 2
x-+ x +I
X-+ 2'
x-+ 2x
Which of the fol lowing angles are equal?
(A)
(8)
(C)
(D)
L DBCand
L CBEand
L ABD and
L ABD and
L CBE
L ABE
L CBD
L CBE
Ifj(x) = 2x2- I, thenj(- 3) =
(A)
(B)
(C)
(D)
-32
- 19
17
35
53.
The measure of angle ABE is
(A)
(B)
(C)
(D)
50.
c
4"
(A)
(B)
49.
D
5go
I 22°
I42°
302° .
Which ofthefollowingsets is represented
by the function f x -+ x' + 3 where
xe{Q,1,2,3}?
fi
(A)
{(O, 3), (I, 4), (2, 7), (3, 12)}
(B)
{(O, 3), (I, S), (2, 7), (3, 9)}
(C)
{(O, 3), (I, 4), (2, 5), (3, 6)}
(D)
{(O, 3), (I, I), (2, 4), (3, 9))
GO ON TO THE NF.XT PAOF.
- I0 -
Item 54 refers to the diagram below.
56.
The image of a point P(- 2, 3) under a
. translation (
!)
is
(- 6, 12)
(- 5,- I)
(A)
(B)
(C)
(D)
(1,7)
(5, I)
ltem57 refers to the diagram below which
shows a transformation.
y
54.
JfO is the centre of the circle, theny' is
(A)
(8)
(C)
(D)
p
25°
80°
90°
100°
Item 55 refers to the triangle PQR below.
p
P'
57.
The transformation which will map
triangle PQR onto P'Q'R' is
(A)
. {B)
(C)
a rotation of I 80°abouttheorigin
a reflection in the Iine y = x
an enlargement, centre R, of scale
factor -1
a translation parallel to th ex-ax is
( D)
Q
55.
R
Item 58 refers to the following pair of
similar triangles. C
In the triangle.cos P may be expressed
as
(A)
(B)
(C)
(D)
QR
PR
QR
PQ
PQ
PR
PQ
QR
si
0
0
'\ "~
38°
6cm
A
58.
8
3cm
N
The length of MO, in centimetres, is
{A)
(B)
(C)
(D)
7
6
3.S
3
·,
- 11 -
Item 59referstothediagram below which
shows an enlargement.
Item 60 refers to the diagram below which
shows a ladder 5 metres long leaning
against a vertical wall. The foot of the
ladder is 3 metres away from the wal I.
y
6
5
4
3
A
2
1
B
c
e'
I
59.
In the diagram, triangle ABC is mapped
onto triangle A'B'C' where 0 is the
centre of enlargement. What is the scale
factor of the enlargement?
{A)
7
3
4
5
6
~ 3 m -----">)
7 x
0
60.
1
(B)
2
-2
(C)
1
How far up the wall does the ladder
reach?
{A)
{B)
(C)
{D)
4m
6 m
8m
15 m
2
{D)
2
END OF TEST
IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.
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