Cambridge International Examinations
Cambridge Secondary 1 Checkpoint
Yoosuf Aiyas
*0529120111*
1112/02
MATHEMATICS
October 2015
Paper 2
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 19 printed pages and 1 blank page.
IB15 10_1112_02/4RP
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1
Karim does a survey of the number of people in cars passing his house in the morning.
He does this on Monday and on Saturday.
The charts show the results.
Monday
30
20
Frequency
10
0
1
2
3
4
5
Number of people
6
Saturday
30
20
Frequency
10
0
1
2
3
4
5
Number of people
6
Tick (!) the box to show which day has the larger mode.
Monday
Saturday
They are the same
Give a reason for your answer.
The mode for Monday is 1 person in the car.
However the mode for Saturday is 2 people in the car.
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3
2
Enid uses a term-to-term rule to work out a sequence.
Here are the first four terms.
23
29
35
41
(a) Write down the term-to-term rule.
Add 6
[1]
(b) Work out the 11th term of the sequence.
6n + 17
6(11) + 17=
66+17 = 83
11th term =
3
83
[1]
Rosie is filling up her bath.
She starts by turning on just the cold tap.
After a while she also turns on the hot tap.
Put a ring around the graph that best shows the depth of water in Rosie’s bath.
Depth of
water
Depth of
water
Time
Depth of
water
Time
Depth of
water
Time
Time
[1]
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4
4
The length of a nail rounded to one decimal place is 6.9 cm.
Write down the shortest possible length that the nail could be.
6.85
5
cm
[1]
A fruit bowl contains apples, bananas and oranges.
The number of each type of fruit is shown in the table.
Type of fruit
Apple
Banana
Orange
Number
2
6
4
Tori takes a piece of fruit from the bowl at random.
Draw an arrow to place each of the following events on the probability scale.
Event E:
Tori takes out a banana
Event F:
Tori takes out an orange
Event G:
Tori does not take out an apple
Event H:
Tori takes out a strawberry
Total: 2+6+4 = 12
Apple = 2/12 = 1/6
Banana = 6/12 = 1/2
Orange = 4/12 = 1/3
The first one has been done for you.
0
1
E
[2]
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5
6
(a) Simplify
3y + 7 + 2y + 1
3y + 7 + 2y + 1
5y + 8
[1]
6(2w+5) =
12w + 30
[1]
(b) Expand the brackets
6(2w + 5)
7
Amin and Cara take a maths test.
Amin scores 40 marks and Cara scores 60 marks.
(a) Write the ratio of Amin to Cara’s marks as simply as possible.
40:60
4:6
2:3
2:3
[1]
(b) They are given $20 to share between them.
They share the money in the ratio of their marks.
How much does Amin receive?
2:3 = 5 parts
$20/5 = $4
2:3
8:12
$ Amin gets 8 dollars
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6
8
This chart shows the time the students in three classes took to complete their homework.
Time to complete homework
100%
90%
Percentage
of students
80%
Key
70%
more than
1 hour
60%
between 30
minutes and
1 hour
50%
40%
less than 30
minutes
30%
20%
10%
0%
Class
X
Class
Y
Class
Z
Find the percentage of students in Class X that took more than 1 hour.
52%
9
%
Put a ring around the calculation with the largest answer.
2
of 410
5
38% of 420
Show how you know.
2/5 of 410
2/5 x 410 =
820/5 = 164
38% of 420 =
3*42 + 8*4.2 =
126 + 33.6 = 159.6
[2]
So 2/5 of 410 is more than 38% of 420
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[1]
7
10 A circle has a diameter of 8.6 cm.
NOT TO
SCALE
8.6 cm
Calculate the circumference of the circle.
circumference = 2*pi*r
circumference = pi*d
circumference = 3.14*8.6 = 27.004 cm
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8
11 Kofi has 20 snakes. WOW! So mAnY SnAkEs
The lengths in metres of his snakes are
1.07
0.63
0.78
1.12
1.89
2.07
2.64
2.93
0.55
1.40
1.43
3.15
2.51
2.83
3.27
1.62
2.18
2.90
1.79
1.52
(a) Complete the frequency table for the lengths.
The first two rows have been done for you.
Length, l (metres)
Tally
Frequency
0≤l<1
3
1≤l<2
8
2≤l<3
IIII II
7
3≤l<4
II
2
I dont know how
to tally 7 on text.
[1]
(b) Draw a frequency diagram to show the lengths of Kofi’s snakes.
The first bar has been drawn for you.
10
9
8
7
6
Frequency
5
4
3
2
1
0
0
1
2
Length (metres)
3
4
[1]
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(c) Liam also keeps snakes. WOW! So mAnY sNaKeS
The lengths of his snakes are shown in the frequency diagram.
10
9
8
7
6
Frequency 5
4
3
2
1
0
0
1
2
3
Length (metres)
4
5
Tick (!) to show whether each of these statements is true or false.
Liam’s longest snake is longer than Kofi’s longest snake.
True
False
The modal class for the length of Liam’s snakes is the same as the modal class for the
length of Kofi’s snakes.
True
False
[1]
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10
12 Here are the names of 5 shapes.
A
B
C
D
E
rectangle
pentagon
kite
parallelogram
square
The diagram can be used to sort these shapes.
A, B, C, D, E
Does it have exactly
4 sides?
No
B
Yes
Does it
have two pairs
of parallel sides?
No
C
Yes
Does it have 4
equal angles?
No
D
Yes
Are the diagonals
perpendicular?
No
A
Yes
E
Complete the diagram by writing one of A, B, C, D or E in each gap.
B has been done for you.
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13 Jack says,
I think of a number, n, subtract 5,
then divide by 7
Write an expression for the result in terms of n.
(n-5)/7
[1]
1.65 * 0.26 =
hectares
0.429
[1]
14 In a 1.65 hectare area of land, 26% is covered by buildings.
Calculate the area of land, in hectares, covered by buildings.
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15 A and B are points with coordinates (–2, 5) and (6, –7).
NOT TO
SCALE
y
A (–2, 5)
x
O
B (6, –7)
M is the midpoint of the line joining A to B.
Work out the coordinates of M.
(
2 , -1
)
[2]
16 Round each of these numbers correct to 2 significant figures.
17 865.2 =
0.006047 =
18000
0.0060
[2]
17 Write as a single power of 3
9 × 35
9x3^5
3^2x3^5
3^7
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18 Calculate the volume of the prism.
NOT TO
SCALE
8 cm
3 cm
7 cm
5 cm
13 cm 355
7x13x5 = 91x5 = 455
455 - (4*5*5) =
455 - 100 = 355
355
cm3
[3]
19 Write the missing number in the box.
40.4 " 7 =
40.4*7 = 280+2.8 = 282.8
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8.08
" 35
[1]
282.8/35 = 8.08
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20 The diagram shows three scatter graphs.
Graph A
Mass
(kg)
Graph B
Graph C
Mass
(kg)
Mass
(kg)
Age (months)
Age (months)
Age (months)
(a) Describe the type of correlation shown in Graph C.
negative correlation [1]
(b) One of the scatter graphs shows the masses of 8 babies plotted against their ages.
Put a ring around this scatter graph.
Graph A
Graph B
Graph C
Give a reason for your answer.
Graph A, as the increase in age should cause in increase in
Mass. Graph A has a positive coorelation so it is perfect.
[1]
21 Write the missing number in the box.
x
+
3
4x
x
=
9
x/3 = 3x/9
x/9 + x/3 = 4x/9
9
[1]
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22 Three containers are shown.
2l
jug
cylinder
cuboid
The capacity of the jug is 2 litres.
The cylinder has a radius 5 cm and height 15 cm.
The cuboid has width 12 cm, length 15 cm and height 8 cm.
Put the containers in order of their capacities from smallest to largest.
Show your working.
Volume of a cylinder = πr2h
Jug = 2l = 2000ml = 2000 cm^3
cylinder = pi*25*15 = 1177.5 cm^3
cuboid = 12*15*8 = 1440 cm^3
Cylinder
Cuboid.
Smallest
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Jug
Largest
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16
23 The graph of y = x – 3 is drawn on the grid.
y
12
10
8
6
4
2
−4
−3
−2
−1
0
1
2
3
x
4
−2
−4
y = x–3
−6
(a) Draw the line 2x + y = 3 on the grid.
2x+y=3
y = 3-2x
y = -2x+3
[2]
(b) Use your answer to part (a) to solve the simultaneous equations.
y=x–3
2x + y = 3
(2,-1)
x=
y=
2
-1
[1]
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24 Hari buys 38.5 litres of petrol.
He pays $54.67
Josie buys the same type of petrol and pays $80.00
Calculate how many litres Josie buys.
38.5 : $54.67
x : $80.00
0.704: $1
56.32: $ 80
56.32
litres
[2]
25 (a) The probability that a hockey team will draw its next match is 0.1
The probability the team will win is twice the probability it will lose.
Work out the probability the team will win.
1-0.1 = 0.9
win = 2*lose
3 parts
0.9/3 = 0.3
win = 0.6
lose = 0.3
0.6
[1]
(b) This table shows the results of two handball teams in recent matches.
Win
Lose
Draw
Team A
7
5
4
Team B
9
12
7
7/16 = 0.4375
9/28 = 0.3214
Which team has a better winning record?
Put a tick (!) in the correct box.
Team A
Team B
Both the same
Give a reason for your answer.
Team A has a 43.75% chance of winning according to the given data. However,
Team B has a 32.14% of winning which is lesser than that of team A.
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18
26 The diagram shows the positions of a bridge, a tower and a station.
Station
NOT TO
SCALE
50°
70°
Tower
60°
Bridge
The station is due north of the bridge.
(a) Write down the bearing of the tower from the bridge.
Bearing =
060
°
[1]
Bearing =
130
°
[1]
(b) Work out the bearing of the station from the tower.
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27 Nadia is organising a party.
She wants to buy 18 litres of orange juice.
She can buy it from her local shop or from the supermarket.
Local shop
Supermarket
1lit
re
1lit
re
e
1litr
e
1litr
$2.48
$2.10
Her local shop offers her a discount of 12.5% off the total price if she buys 12 or more
cartons.
She wants to buy the orange juice from just one shop.
Work out which shop is cheaper, and by how much.
18 liters of orange juice.
Supermarket has no discount.
$2.10 * 18 = $37.8
Local shop has 12.5% discount off the total price.
$2.48*18 = $44.64
$44.64 * 87.5% = $39.06
So Supermarket is still better.
$39.06-$37.8 = $1.26
And by $1.26
Supermarket
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is cheaper by
$
1.26
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Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
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