Mathematics
Name:
Class: 8/
Cairo British College
Third Term Revision Sheet
P1
2
1 Write down the temperature shown on this scale.
10
0 20
−10 30
−20 40
−30 50
°C
°C [1]
2 Draw a line to match each fraction to its percentage equivalent.
The first one has been done for you.
1
4 35%
7 34%
20
17
50 25%
6 33 1
15 3%
1 40%
3
[2]
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P1 3
y
x=2
6
0 x
–6 –5 –4 –3 –2 –1 1 2 3 4 5 6
–1
–2 P
–3
–4
–5
–6
Q is the reflection of P in the line x = 2
Work out the coordinates of Q.
( , ) [1]
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P1 4
4 Here is a shape that has been divided into equal parts.
(a) Write down the fraction of the shape that is shaded.
Give your answer in its simplest form.
[1]
(b) Find the percentage of the shape that is unshaded.
% [1]
5 Choose from these units to give the most appropriate unit of measurement for each item.
g kg m l ml m2 cm2
The area of a classroom floor.
The mass of a child.
The amount of water in a swimming pool. [1]
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P1 5
6 Yuri is a piano teacher.
He collects the examination marks of his students.
He asks each of them how many minutes they play their piano for each night.
The scatter diagram shows some of his data.
140
130
120
Examination
mark 110
100
90
80
0 10 20 30 40
Playing time each night (minutes)
(a) The playing times and examination marks of 2 more students are shown in the table.
Playing time each night Examination mark
(minutes)
12 106
30 125
Plot these values on the scatter diagram.
[1]
(b) Describe the relationship between playing time and examination mark.
[1]
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P1 6
43
7 Write as a mixed number.
7
[1]
8 Angelique is n years old.
Jamila says,
‘To get my age, start with Angelique’s age, add one and then double.’
Write an expression, in terms of n, for Jamila’s age.
[1]
9 Use numbers from the list to complete the sentences.
2 9 14 20 23 35 36
You may use a number more than once.
The square numbers are and
The factors of 18 are and
The multiples of 4 are and
[3]
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P1
7
10 Complete each statement with the correct power of 10 from the box.
The first one has been done for you.
3
10 10
4
1 2
10 10 8
10
6 5
10 10
10 × 10 is the same as 102
10 000 is the same as
One million is the same as
1000 ÷ 0.01 is the same as
[2]
11 Here is a calculation 48 × 23 = 1104
Use this calculation to work out the following.
(a) 48 × 24
[1]
(b) 4.8 × 0.23
[1]
(c) 1104 ÷ 2.3
[1]
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P1 8
12 Simplify.
f×f×f×f×f
3×g×g×2×g
[2]
13 Draw a ring around all the statements that are examples of discrete data.
mark out of 10 on a test time taken to run a marathon
mass of a bag of oranges average speed of a journey
number of books sold
[1]
14 The thickness of a pile of paper is 24 mm.
2
Each sheet is the same and has a thickness of mm.
11
Find the number of sheets of paper in the pile.
[2]
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P1 9
15 Mike throws a fair six-sided dice.
(a) The scale shows the probability of an event.
0 1
Tick () all the events that could be represented by the arrow.
Getting an odd number on the dice.
Getting the number 3 on the dice.
Getting a number less than 4 on the dice.
[1]
(b) Draw an arrow (↑) on the scale to show the probability of getting a 4 or a 5 on the dice.
0 1
[1]
16 In a traffic survey of 495 vehicles, 390 are cars.
Work out the fraction of the vehicles that are not cars.
Give your answer as a fraction in its simplest form.
[2]
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P1
10
17 (a) Complete the table of values for y – 2x = 6
x –4 –2 0
y –2
[1]
(b) The line 4y – x = 7 is shown on the grid below.
Draw the line y – 2x = 6 on the same grid.
y
3
4y – x = 7
2
x
–8 –7 –6 –5 –4 –3 –2 –1 0 1 2
–1
–2
–3
–4
[2]
(c) Use the graph to solve the simultaneous equations
4y – x = 7 and y – 2x = 6
x=
y= [1]
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P1 11
18 The diagram shows an equilateral triangle.
All measurements are in cm.
NOT TO
2x + 2 SCALE
3x + 4
The perimeter of the triangle is 57 cm.
Find the length of a.
cm [3]
19 A sequence begins
3, – 6, 12, – 24, 48, …
(a) Write down the term-to-term rule for this sequence.
[1]
(b) Write down the next two terms.
and [1]
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P1 12
20 Blessy has r red flowers, w white flowers and y yellow flowers.
r :w=3:2
w:y =4:3
Blessy has 12 yellow flowers.
Work out how many flowers she has in total.
[2]
21 The diagram shows a pair of parallel lines, GH and JK.
G H
X
J Y K
EF is a straight line that crosses GH at X and crosses JK at Y.
On the diagram,
• label with the letter A the angle that is alternate to angle GXY,
• label with the letter C the angle that is corresponding to angle GXY.
[2]
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P1 13
22 A piece of paper has an area of 0.3 m2.
NOT TO
SCALE
0.3 m2
A circle of area 705 cm2 is cut out of the piece of paper.
NOT TO
SCALE
705 cm2
Work out the area of the paper that remains.
Give your answer in square metres.
m2 [2]
23 Factorise fully.
10ab – 5b2
[2]
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P1 14
24 The diagram shows a triangle ABC on a grid.
y
6
3 C
2
A' A
1
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 x
–1 B
–2
–3
B'
–4
–5
–6
A' and B' are the images of A and B after an enlargement.
(a) Plot C', the image of C after the enlargement. [1]
(b) Describe fully the enlargement from triangle ABC to triangle A'B'C'.
[2]
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P1 15
25 Hassan investigates the amount of fruit that people eat.
The bar-line charts show the number of portions of fruit that 30 adults and 30 children ate
on Monday.
Adults
10
9
8
7
6
Frequency 5
4
3
2
1
0
0 1 2 3 4 5 6 7
Portions of fruit
Children
10
9
8
7
6
Frequency 5
4
3
2
1
0
0 1 2 3 4 5 6 7
Portions of fruit
Tick () to show who ate more fruit on Monday.
Adults Children
Give a reason to explain your answer.
[1]
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P1
16
26 This is part of the net of a cuboid.
Draw the missing face to complete the net. [1]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
© UCLES 2020 1112/01/O/N/20
P1 17
P1 18
P2 19
2
1 Use a whole number to complete the statement.
3.15 × 0.04 = (3.15 × ) ÷ 100
[1]
2 Lily wants to count the number of cars of different colours that drive past her school.
Design a data collection sheet that Lily could use.
[2]
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P2 20
3
3 The diagram shows a cuboid.
NOT TO
SCALE
4 cm
5 cm
11 cm
Calculate the volume of the cuboid.
cm3 [1]
4 The cost to hire a hall is $20 plus $15 per hour.
(a) Write down a formula for the cost $C to hire the hall for h hours.
C= [1]
(b) Use the formula to work out the cost to hire the hall for 6 hours.
$ [1]
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21
P2 4
5 This shape is made from two rectangles.
3.2 cm
3.7 cm
NOT TO
8.2 cm SCALE
8.5 cm
Calculate the area of the shape.
cm2 [2]
6 Rajiv puts $2400 in a savings account.
One year later it is worth $2580
Work out the annual rate of interest.
% [2]
7 Draw a ring around the point which does not lie on the line y = 3x + 2
(2, 8) (0, 4) (100, 302) (9, 29)
[1]
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22
P2
5
8
D
9.75 cm
NOT TO
C SCALE
5 cm
13 cm
16.25 cm
9.6 cm 12 cm
A 7.2 cm E
Write down the length of the hypotenuse of triangle BCE.
cm [1]
9 Pink paint is made by mixing 9 parts of white paint with 5 parts of red paint.
Find the number of parts of red paint needed to mix with 54 parts of white paint.
[1]
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P2 23
6
10 (a) Here is a calculation.
87 ÷ 14 = 6 remainder 3
Draw a ring around the correct fraction for the answer to this calculation.
6 3 3 3 6
6 14 6 3
3 87 6 14 14
[1]
(b) Use two whole numbers to complete this calculation.
2
÷ =9
13
[1]
11 A set of data has fewer than 6 values.
The median of the set of data is 5 but none of the values is 5
Write down a set of possible values for this data.
[1]
12 Draw a ring around each of the two ratios that are equivalent.
2:3 4:3 3:2 6:8 15 : 10
[1]
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P2 24
7
13 Carlos carries out a survey on clubs at school.
This is one of the questions in his survey.
Do you agree that there should be more clubs to go to at school?
Yes No Don’t mind
Write down one reason why this is not a good question.
[1]
14 Here is a scale drawing showing three cities.
A B
The real-life distance from city A to city B is 140 km.
Find the real-life distance from city B to city C.
km [2]
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P2 25
8
15 The graph shows Angelique’s journey to work.
20
Work
Angelique
15
Distance
from home 10
(km)
0
08:00 08:30 09:00 09:30 10:00
Time
(a) Write down the number of minutes Angelique stops for during her journey.
minutes [1]
(b) Safia takes exactly the same route to work.
She leaves at 08:30
It takes her 45 minutes to get to work.
She travels at a constant speed.
Draw Safia’s journey on the grid.
[1]
(c) Safia passes Angelique on her way to work.
Write down the time when she passes Angelique.
[1]
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P2 26
9
16 (a) Chen throws a coin 120 times.
He gets 54 heads.
Write down the relative frequency that Chen gets a head.
[1]
(b) Jamila also throws a coin 120 times.
The relative frequency that she gets a head is 0.575
Work out how many more heads Jamila gets than Chen gets.
[2]
17 Write 252 as a product of its prime factors.
[2]
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P2 27
10
18 A supermarket puts coloured labels on bottles of drinks to show how much sugar each
contains per 100 ml.
Each label is either green or yellow or red.
Colour of label Amount of sugar per 100 ml of drink
Green Less than 2.4 g
Yellow Between 2.4 g and 6.2 g
Red More than 6.2 g
The supermarket sells lemonade in bottles containing 250 ml.
Each bottle contains 14.5 g of sugar.
Work out which colour label should be put on these bottles of lemonade.
Draw a ring around your answer.
Green Yellow Red
Show how you worked out your answer.
[2]
19 Calculate.
7 + 4.13
3.1× 0.2
[1]
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P2 28
12
22 Mike has 450 dollars and spends 360 dollars.
Gabriella has 3600 dollars and spends 2700 dollars.
Tick () to show who spends a greater proportion of their money.
Mike Gabriella
Show how you worked out your answer.
[2]
23 Convert 15 miles into kilometres.
km [1]
24 A car travels at 72 km / h.
Work out the number of metres the car travels in one second.
m [2]
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29
P2
13
25 Round each number to 3 significant figures.
0.0045146
778 893.2
[2]
26 Shape A is enlarged by a scale factor of 2 to make shape B.
Shape B is then rotated to make shape C.
Shape C is then translated to make shape D.
Tick () to show if each pair of shapes are congruent or not congruent.
Congruent Not congruent
A and B
A and C
B and D
[1]
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30
P2
16
29 The table shows data about the life of two types of battery.
Median Range
(hours) (hours)
Battery A 1.8 0.4
Battery B 1.3 0.6
Use the median and the range to compare the two types of battery.
median
range
[2]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
© UCLES 2020 1112/02/O/N/20
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P2
33
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P2 33
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