2

1 The diagram shows two congruent right-angled triangles.

D F NOT TO
C SCALE
53 mm
28 mm

A 45 mm B
E

Write down the length of side EF.

mm [1]

2 y = 3x + 1

Work out the value of y when x = ‒2.

y= [1]

3 Huda records the ages of people in her office.

Age, y years Frequency

20 ≤ y < 30 7
30 ≤ y < 40 15
40 ≤ y < 50 11
50 ≤ y < 60 6

Work out how many people in Huda’s office are less than 40 years old.

[1]

Mr. Mahmoud Farid Phone: 01032661019

 3

4 Simplify.

35
84

[1]

5 Expand.

2t (3t  5)

[1]

6 The ratio of red cars to blue cars in a car park is

red : blue
2:3

There are 24 blue cars.

Work out the number of red cars.

[1]

7 Find the value of

(a) 162

[1]

(b)

[1]

© UCLES 2017 1138/01/M/J/17 [Turn over

 4
8 The diagram shows a pentagon ABCDE formed by cutting a triangle from one corner of
a rectangle.

E 7 cm D
NOT TO
SCALE

A
8cm

5cm

A C
11 cm

AB = 5 cm BC = 11 cm CD = 8 cm DE = 7 cm

Work out the area of the pentagon ABCDE.

cm2 [3]

Mr. Mahmoud Farid Phone: 01032661019

 5

9 Calculate.
3 2
2 1
4 7

Give your answer as a mixed number in its simplest form.

[3]

10 (a) Solve.

3x ≥ 6

[1]

(b) Represent your solution to part (a) on the number line.

–3 –2 –1 x
0 1 2 3 4 5 6

[1]

© UCLES 2017 1138/01/M/J/17 [Turn over

 6
x
11 (a) The function x  is represented by this mapping diagram.
3

x
x ÷3
3

Find the inverse of the function.

x [1]

(b) Put a ring around the inverse of the function x  4x 1 .

x 1 x x
1
x  4x 1 x x  1
4 4 4x 1

[1]

12 Nour wants to find out how much time people spend reading.
She designs a questionnaire.
Here is one of the questions on her questionnaire.

How much time do you spend reading?

Tick a box.

1 – 2 hours 2 – 3 hours 3 – 4 hours

4 – 5 hours More than 5 hours

Write down two problems with Nour’s question.

Problem 1

Problem 2

[2]

© UCLES 2017 1138/01/M/J/17

 7
13 The scale drawing shows the positions of an airport (A) and a harbour (H ).

North

North

(a) Measure the bearing of the airport from the harbour.

 [1]

(b) A boat is due West of the harbour.

Write down the bearing of the harbour from the boat.

 [1]

© UCLES 2017 1138/01/M/J/17 [Turn over

 8
14 Ten children do a test in maths, a test in science and a test in English.
The scatter graph shows the children’s marks in maths and science.

50

40

30
Science mark

20

10

0 10 20 30 40 50
Maths mark

(a) What type of correlation is shown in the scatter graph?

[1]

(b) Kamel is one of the ten children.

His mark in the science test is 40.

The total of his marks in the maths, science and English tests is 99 marks.

Find his mark in the English test.

[2]

© UCLES 2017 1138/01/M/J/17

 9
15 Amal plays 80 games of chess against a computer.
The results of the games are shown in the table.

Result Frequency
Win 36
Lose 29
Draw 15

(a) Work out the relative frequency of Amal winning a game of chess against the
computer.

[1]

(b) Sami also plays 80 games of chess against a computer.

1
The relative frequency of Sami winning is .
4

Work out how many more chess games Amal wins than Sami wins.

[2]

16 Write down the name of the quadrilateral that has both of these properties.

Exactly two lines of symmetry.

Diagonals that are perpendicular.

[1]

© UCLES 2017 1138/01/M/J/17 [Turn over

 1
0
17 (a) Here is a number fact.

37 × 41 = 1517

(i) Use the number fact to write down the value of 3.7 × 4.1.

[1]

(ii) Work out the missing number in this calculation.

37 × 25 + 37 × 10 + 37 × p = 1517

p= [1]

(b) Hani is working out the answer to 21 × 12 using a method from Ancient Egypt.
This is his working out.

1 12

2 24

4 48

8 96

16 192

21 × 12 = 264

He has made a mistake.

Explain what mistake Hani has made.

[1]

© UCLES 2017 1138/01/M/J/17

 11
18 The travel graph shows Maha’s journey from home to her sister’s house and then back
again.

50

40

30
Distance
from home
(kilometres)
20

10

0
09.00 09.30 10.00 10.30 11.00 11.30 12.00
Time

When Maha is 20 kilometres from home she stops at a supermarket.

(a) For how many minutes does Maha stop at the supermarket?

minutes [1]

(b) Calculate Maha’s speed when she travels from the supermarket to her sister’s house.

km / h [2]

© UCLES 2017 1138/01/M/J/17 [Turn over

 1
2
19 Insert one pair of brackets into each calculation to make it correct.
The first one has been done for you.

( 6 ‒ 2 ) × 3 = 12

11 + 32 ÷ 4 = 5

20 ‒ 45 ÷ 23 + 1 = 15

[2]

20 (a) Put a ring around the value of sin 60°.

1 2 3
1
2 2 2

[1]

(b) Put a ring around the value of tan 45°.

1 2 3
1
2 2 2

[1]

© UCLES 2017 1138/01/M/J/17

 13

21 (a) 63  4
 6n

Find the value of n.

n= [1]

(b) 362 × 6 = 6m

Find the value of m.

m= [2]

22 Simplify.

(3x2 1)  (x 2  2x  4)

[2]

© UCLES 2017 1138/01/M/J/17 [Turn over

 1
4
23 Solve.

4 2
x6  x2
7 7

x= [3]

24 (a) Write these numbers in order of size, starting with the smallest.

65 000 7 × 10‒3 7.9 × 103 0.0125

smallest largest

[2]

(b) Find the number halfway between 6 × 102 and 2.2 × 103.
Give your answer as an ordinary number.

[2]

© UCLES 2017 1138/01/M/J/17

 15
25 (a) Simplify.

4a3bc2  3ac4

[2]

(b) Simplify.

20 p6q9
4 pq3

[2]

26 A teacher has n packets of stickers.

Each packet contains 20 stickers.

There are a boys and b girls in the teacher’s class.

He shares all his stickers equally between the students in his class.

Write an expression for the number of stickers each student receives.

[2]

© UCLES 2017 1138/01/M/J/17 [Turn over

 1
6
27 The diagram shows a trapezium ABCD and a trapezium ADEF.

B C
NOT TO
SCALE

53°
A D
G

69°
F E
Angle CFE = 69°
Angle DAB = 53°
AB = CD
CF intersects AD at G.

Find the size of angle GCD.

Give a geometrical reason for each step of your working.

 [4]

© UCLES 2017 1138/01/M/J/17

 17
28 (a) The length of a calculator is 15 cm to the nearest centimetre.

Write down the upper bound for the length of the calculator.

cm [1]

(b) The number of people watching a match is 3000 to the nearest thousand.

Write down the upper bound for the number of people.

[1]

(c) Sara has two books.

Brilliant Popular
birds plants

Mass Mass
560 grams to the 830 grams to the
nearest 10 grams nearest 10 grams

Find the lower bound for the total mass of the two books.

g [2]

© UCLES 2017 1138/01/M/J/17 [Turn over

 1
8
29 (a) x is a number such that ‒8 ≤ x ≤ 6.
y is a number such that ‒ 4 ≤ y ≤ 4.

Find the largest possible value of xy.

[1]

(b) Write down the interval that is the intersection of {x : 4 < x < 12} and {x : 0 ≤ x ≤ 10}.

[2]

30 Between 2010 and 2016 the population of a town increased by 20%.

The population of the town in 2016 was 36 000.

Work out the population of the town in 2010.

[3]

© UCLES 2017 1138/01/M/J/17

 19
31 The cross-section of a prism is a trapezium.
The dimensions of the prism are shown on the diagram.

9 cm
NOT TO
SCALE

8 cm
10 cm

13 cm

Calculate the volume of the prism.

cm3 [3]

© UCLES 2017 1138/01/M/J/17 [Turn over

 2
0
32 (a) Sketches of the graphs of four quadratic functions are shown.

y y

O x O x

Graph 1 Graph 2

y
y

O x O x

Graph 3 Graph 4

Put a ring around the graph which shows the curve with equation y = x2 – 4.

Graph 1 Graph 2 Graph 3 Graph 4

[1]

(b) The function y = 2x2 has domain ‒3 ≤ x ≤ 3.

Find the range of the function.

 y  [2]

© UCLES 2017 1138/01/M/J/17

 21

33
y

NOT TO
SCALE
A(0, a)

53

x
O B(b, 0)

A has coordinates (0, a).

B has coordinates (b, 0).
a and b are positive integers with b > a.

The length of AB is 53 .

Find the coordinates of the midpoint of AB.

( , ) [3]

© UCLES 2017 1138/01/M/J/17

 22

BLANK PAGE

© UCLES 2017 1138/01/M/J/17

 23

BLANK PAGE

© UCLES 2017 1138/01/M/J/17

 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.

Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge
Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

1 Tick (�) to show if each statement is true or false.

© UCLES 2023 1138/01/M/J/23
 3

True False
4 5
1 +1 =3
9 9
1
3 9=3
9
6 2
÷ =3
9 9
[1]

2 Write down the order of rotational symmetry of each diagram.

The first one has been done for you.

Order ......2....... Order ............. Order ............. Order .............

[2]

3 Triangle W is the image of triangle T after a rotation of 90 anticlockwise, centre (–4, 0).

Describe fully the single transformation that maps triangle W back to triangle T.

[2]

4 Draw a ring around the number that is irrational.

1
8 82 8 3
8 8
[1]

© UCLES 2023 1138/01/M/J/23 [Turn over

 4

5 (a) Maha starts with a number n.

She adds 5 to her number.
She then cubes the result.

Write down an expression for the number she ends with.

[1]

(b) Sally writes down the expression 10 – 2m.

1
Find the value of Sally’s expression when m = 3 .
2

[1]

6 The diagram shows a prism made from centimetre cubes standing on its base.

NOT TO
SCALE

Work out the area of the base of the prism.

cm2 [1]

© UCLES 2023 1138/01/M/J/23

 5

7 A harbour contains 100 boats.

Each boat has either one mast or two masts.

mast

There are 50 boats with one mast There are 50 boats with two masts

(a) Tamer wants to choose a sample of 30 boats from the harbour so that

fraction of boats with fraction of boats with

=
one mast in the sample one mast in the harbour

Write down how many boats with one mast Tamer should have in his sample.

[1]

(b) Tamer collects pieces of information about each boat in his sample.

Tick (�) to show if each piece of information is qualitative data or quantitative data.

Qualitative data Quantitative data

Length of boat

Number of masts

Colour of boat
[1]

© UCLES 2023 1138/01/M/J/23 [Turn over

 6

8 Here is a number fact.

41  18 = 738

Use this number fact to find

(a) 41  19,

[1]

(b) 41  36.

[1]

© UCLES 2023 1138/01/M/J/23

 7

9 (a) Complete this table of values for y = x2 + 1.

x 0 1 2 3

y 2

[2]

(b) Draw the graph of y = x2 + 1 for values of x between 0 and 3.

y
12

10

0 1 2 3 x

[2]

© UCLES 2023 1138/01/M/J/23 [Turn over

 8

10 (a) The height of a plant increases at a constant rate of 15 mm per week.

Find how many weeks it will take for the height of the plant to increase from
8 cm to 18.5 cm.

weeks [2]

(b) The height of a different plant increases at a rate of 6 mm per day.

Convert 6 mm per day to metres per week.

metres per week [2]

11 Here is a number line.

2 3

Draw a ring around the fraction that is closest to the value shown by the arrow.

11 20 27 28
4 7 10 9
[1]

© UCLES 2023 1138/01/M/J/23

 9

12 The elements of sets A and B are shown in the Venn diagram.

A B

4
12 6
8
16 24
18
20

List the elements in A  B.

[1]

13 In an experiment Amal and Sara each repeatedly throw the same biased dice.
Their results are shown in the table.

Score on dice
1 2 3 4 5 6
Frequency for 14 10 9 7 7 3
Amal
Frequency for Sara 35 16 19 11 13 6

(a) Use Amal’s results to estimate the probability of throwing a 1 with this dice.

[2]

(b) Sara calculates an estimate of throwing a 1 using her results.

She says,
‘My estimate is likely to be more accurate than Amal’s estimate.’

Tick (�) to show if Sara is correct or not correct.

She is correct She is not correct

Give a reason for your answer.

[1]
© UCLES 2023 1138/01/M/J/23 [Turn over
 10

14 Here are the names of three types of quadrilateral.

Kite Parallelogram Rectangle

Use each of these names exactly once to make these statements correct.

The diagonals of a always meet at right angles.

The diagonals of a are always equal in length.

Both pairs of opposite angles of a are always equal in size.

[1]

15 A rectangle R is drawn on the grid.

y
11
10
9
8
7
6 R
5
4
3
2
1

0 1 2 3 4 5 6 7 8 9 10 11 x

1
Enlarge rectangle R by scale factor , centre (0, 0).
2
[2]

© UCLES 2023 1138/01/M/J/23

 11

16 Write these areas in order of size, starting with the smallest.

3
feddan 20 kirats 240 sahms
4

smallest area largest area

[1]

17 The distance chart shows some of the distances, in kilometres, between four towns,
A, B, C and D.

B 89

C 72

D 213 174 143

A B C

Nada travels from A to B.

She then travels from B to C.
The total distance she travels is equal to the distance from B to D.

Complete the distance chart.

[2]

© UCLES 2023 1138/01/M/J/23 [Turn over

 12

18 A group of four friends share books with each other.

The diagram shows who gives and who receives the books.

Friend giving books Friend receiving books

Maged Maged

Hani Hani

Amr Amr

Nabil Nabil

Kamel Kamel

(a) Write down the name of each of the friends that receive books from Hani.

[1]

(b) Write down the name of the friend who gives books to Amr.

[1]

© UCLES 2023 1138/01/M/J/23

 13

19 Nour counts the number of people swimming in a pool on 11 Tuesdays and

11 Wednesdays.
The back-to-back stem-and-leaf diagram shows her results.

Tuesday Wednesday
7 2 2 6
7 6 3 1 3 0 4 5 7
8 4 3 4 1 3 4 8
3 1 1 5 7

Key: 1 3 represents 31 people on Tuesday and 30 people on Wednesday

0

(a) Use Nour’s results to complete the table.

Median Range

Tuesdays 26

Wednesdays 37
[2]

(b) Complete these sentences using words from the list.

Tuesdays Wednesdays median range

The number of people swimming in the pool is more varied on .

This is shown by the higher value of the .

[1]

© UCLES 2023 1138/01/M/J/23 [Turn over

 14

20 The diagram shows a solid cylinder and a solid prism.

The cross-section of the prism is a regular hexagon.

NOT TO
SCALE

5 cm

Volume of cylinder = 600 cm3 Area of each rectangular face = 50 cm2

The area of the hexagonal base of the prism is 75% of the area of the base of the cylinder.

Work out the total surface area of the prism.

cm2 [4]

© UCLES 2023 1138/01/M/J/23

 15
21 5 1
(a) Write  as a single fraction.
2m 3m
Give your answer in its simplest form.

[2]

3x  7
(b) Make x the subject of the formula 4y = .
2

[2]

22 a
(a) The fraction is equivalent to a recurring decimal.
b
a and b are integers such that 3 ≤ a ≤ 6 and 4 ≤ b ≤ 6.

Write down a possible pair of values for a and b.

a=

b= [1]

3
(b) Use algebra to show that 0.2 7 = .
11

[3]

© UCLES 2023 1138/01/M/J/23 [Turn over

 16

23 Tick (�) the largest number.

binary number 111 011 decimal number 57

Show how you worked out your answer.

[2]

24 ABCD is a rectangle.

A B

North NOT TO
SCALE

D C

A and P are north of D.

The bearing of P from B is 240.
Angle PCD = 20°.

Work out angle BPC.


[2]

© UCLES 2023 1138/01/M/J/23

 17

25 Simplify.

p2qr3  p5q2

[2]

26 A small box contains 30 nails, correct to the nearest 10 nails.

A large box contains 100 nails, correct to the nearest 10 nails.
Ahmed buys 2 small boxes and 1 large box.

Calculate the upper bound for the total number of nails Ahmed buys.

[3]

© UCLES 2023 1138/01/M/J/23 [Turn over

 18

27 (a) Factorise.

xy + 6x + 3y + 18

[2]

(b) Factorise.

w2 – 100

[1]

(c) The solutions of the quadratic equation x2 + ax + b = 0 are x = 5 and x = –2.

Find the value of a and the value of b.

a=

b= [2]

© UCLES 2023 1138/01/M/J/23

 19

28 The diagram shows a shape made from two rectangles.

x
NOT TO
SCALE
3y

25 5y

2x

23

All lengths are measured in centimetres.

By forming and solving two simultaneous equations, find the value of x and the value of y.

x=

y= [4]

© UCLES 2023 1138/01/M/J/23 [Turn over

 19

29 Work out.

(9 – 20 ) ÷ (2–2 )2

[3]

© UCLES 2023 1138/01/M/J/23

 20
been
BLANK PAGE included,
the
publisher
will be
pleased to
make
amends at
the earliest
possible
opportunity.

1 Tick
(�)
the
thre
e
piec
es
of
info
rmat
ion
that
are
nee
ded
to
full
y
desc
ribe
a
rotat
ion.

Copyright © UCLES, 2023

Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.

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

© UCLES 2025 1138/01/M/J/25

 21
ntre For
Examiner’s
Use

Equation of mirror line

Angle of turn

Direction of turn

Scale factor

[1]

2 (a) Write 27% as a decimal.

[1]

3
(b) Write as a percentage.
25

% [1]

© UCLES 2025 1138/01/M/J/25 [Turn over

 22

3 Draw a line to match each type of quadrilateral to the correct description. For
Examiner’s
Each description can only be used once. Use
One has been done for you.

Trapezium One pair of parallel sides.

Rectangle The diagonals are equal in length.

Kite All sides are equal in length.

There are two pairs of equal length sides

Rhombus
and the diagonals are perpendicular.

[1]

4 Hani throws four dice, each numbered 1 to 6.

He records how many times he throws each dice and the number of times he throws
an even number on each dice.

Dice A Dice B Dice C Dice D

Total number of throws 50 100 200 500

Number of even 25 49 140 252

numbers

(a) Write down the relative frequency that he throws an even number on Dice B.

[1]

(b) Draw a ring around the dice that is most likely to be biased.

Dice A Dice B Dice C Dice D

[1]
© UCLES 2025 1138/01/M/J/25
 23

5 Triangle ABC has side lengths AB = 8.4 cm, AC = 6.2 cm and BC = 7.6 cm. For
Examiner’s
Use
Use a ruler and compasses to construct triangle ABC.
You should show your construction arcs.
One side has been drawn for you.

A 8.4 cm B

[2]

6 Simplify  x 2  6x  8   x 2  4x  2 .

[2]

© UCLES 2025 1138/01/M/J/25 [Turn over

 24
For
7 (a) Tick (�) to show if each fraction is equivalent to a terminating decimal or a Examiner’s
recurring decimal. Use

Fraction Terminating Recurring decimal

decimal
1
6

101
50

4
9

[1]

5
(b) Write as a decimal correct to 2 decimal places.
11

[2]

8 Find the value of the expression 100  x2 when x = 11.

[2]

© UCLES 2025 1138/01/M/J/25

 25

9 The diagram shows a quadrilateral ABCD divided into two triangles. For
Examiner’s
Use
D
NOT TO
SCALE

Complete this proof about the sum of the angles in quadrilateral ABCD by writing
numbers on the answer lines.

The angles in triangle ABD add up to 

The angles in triangle BCD add up to 

So the angles in quadrilateral ABCD must add up to

 +  = 

[2]

10 A number written in binary is 1001.

(a) Write in binary the number that is 1 greater than 1001.

[1]

(b) Write the binary number 1001 as a decimal number.

[1]

© UCLES 2025 1138/01/M/J/25 [Turn over

 26

11 (a) Three students each collect data for a statistics project about sport. For
Examiner’s
The table shows the source each student uses for their data. Use

Tick (�) to show if each of these data sources is a primary source or

a secondary source.

Primar Secondar
Source
y y
sourc source
e
Amr downloads football results from
the internet.
Heba uses a table from a newspaper
showing number of sports medals for
different countries.
Tamer records the time that he takes to
run 1 km each day for 2 weeks.

[1]

(b) Mona designs a questionnaire for her research project about a shopping centre.

Question 1
How far do you live from the shopping centre?

Less than 1 km 1 to 2 km More than 2 km

Question 2
How many times did you visit the shopping centre last week?

Question 3
What do you think about the shopping centre?

Tick (�) to show the type of data Mona collects with each of her questions.

Quantitative data Qualitative data

Question 1

Question 2

Question 3
© UCLES 2025 1138/01/M/J/25
 27

[1]

© UCLES 2025 1138/01/M/J/25 [Turn over

 28

12 (a) Solve the inequality. For

Examiner’s
Use
–2x ≤ 6

[1]

(b) Represent the solution to the inequality −2x ≤ 6 on the number line.

–6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 x
[1]

13 Shape F has a perimeter of 9 cm.

(a) Shape G is an enlargement of shape F with scale factor 4.

Find the perimeter of shape G.

cm [1]

(b)  2 
Shape F is translated by vector to give shape H.
 7
 

Describe fully the single transformation that maps shape H back to shape F.

[2]

© UCLES 2025 1138/01/M/J/25

 29

14 Here is a number fact. For

Examiner’s
Use
40 × 17 = 680

Find 42 × 17.

[1]

15 The table shows some shapes made from 6 squares.

Number of lines Order of rotational

Shape
of symmetry symmetry

2 2

Complete the table by writing the number of lines of symmetry and the order of
rotational symmetry of each shape.
The first row has been done for you.

[2]

© UCLES 2025 1138/01/M/J/25 [Turn over

 30

16 A container is being filled with water. For

Examiner’s
The graph shows the depth of water in the container at different times. Use

50

45

40

35

30

Depth (cm) 25

20

15

10

0
0 1 2 3 4 5 6 7 8 9 10
Time (minutes)

(a) Write down the depth of water in the container at 9 minutes.

cm [1]

(b) The water fills the container at a constant rate.

Draw a ring around the sketch that best represents the shape of the container.

[1]

© UCLES 2025 1138/01/M/J/25

 31

17 (a) Write 300 as a product of its prime factors. For

Examiner’s
Write your answer using indices. Use

[2]

(b) Nour is using the Euclidean algorithm to find the highest common factor
of 154 and 70.
Here is some of her working.

Stage 1

154 ÷ 70 = 2 remainder 14

Stage 2

70 ÷ 14 = ………… remainder …………

So, the highest common factor of 154 and 70 is …………

Write the three missing numbers in Nour’s working.

[2]

© UCLES 2025 1138/01/M/J/25 [Turn over

 32

18 The diagram shows a circle with centre C. For

Examiner’s
Use
y

N
NOT TO
SCALE

K (3, 9) L (13, 9)
C

M (5, 5)

O x

The points K(3, 9), L(13, 9), M(5, 5) and N all lie on the circumference of the circle.
KL and MN are diameters of the circle.

Complete the table to show the coordinates of C and N.

Point Coordinates

C
( …………. , ................. )

N
( …………. , ................. )

[3]

© UCLES 2025 1138/01/M/J/25

 33

19 The graph shows a straight line L. For

Examiner’s
Use
y
10

–2 –1 0 1 2 3 4 x

–2

–4

Find the equation of the line parallel to L that passes through the point (2, 9).

y= [3]

© UCLES 2025 1138/01/M/J/25 [Turn over

 34

20 ABCD is a square. For

Examiner’s
Use
F
A B
37°
NOT TO
I SCALE

E a

D C
G

EF and GHI are parallel lines drawn inside the square.

Angle AFE = 37°.
Angle HFB is a right angle.

Calculate the size of the angle marked a.

Write a geometrical reason for each step of your working.

a= ° [3]

© UCLES 2025 1138/01/M/J/25

 35

21 The diagram shows a cylinder with a height of 20.2 cm and a radius of 9.8 cm. For
Examiner’s
Use

NOT TO
SCALE

20.2 cm

9.8 cm

Maha says that the volume of the cylinder, to 2 significant figures, is 1300 cm3.

By using estimation, tick (�) to show if Maha’s answer is likely to be correct or not.

Likely to be correct Not likely to be correct

Show how you worked out your answer.

[2]

© UCLES 2025 1138/01/M/J/25 [Turn over

 36

22 The second term of an arithmetic sequence is 11. For

Examiner’s
The fourth term of this sequence is 17. Use

Find an expression for the nth term of this sequence.

[3]

23 A shop records the ages (in years) of 8 customers buying newspapers and
8 customers buying magazines.

Newspapers 35 41 68 63 54 57 46 52

Magazines 27 34 40 45 24 38 55 31

Show this information in a back-to-back stem-and-leaf diagram.

Newspapers Magazines

Key: 5 | 3 | 1 represents an age of 35 years for a newspaper customer

and an age of 31 years for a magazine customer
[3]

© UCLES 2025 1138/01/M/J/25

 37

24 The domain of a function is the set of integers that are greater than 1. For
Examiner’s
Use
The function is defined as
x largest factor of x that is smaller than x.

For example,
6 3 because 3 is the largest factor of 6 that is
smaller than 6.

(a) Complete these mappings by finding the two missing numbers in the range.

Number in domain Number in range

6 3
11
21

[2]

(b) Complete these mappings by finding two examples of numbers in the domain
that map to 5.

Number in domain Number in range

5
5

[2]

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 38

25 Here is a mathematical statement about a number ◇. For

Examiner’s
Use
1 1
2 × ◇ = 10  1
10 4

Find the value of ◇.

Give your answer as a mixed number in its simplest form.

[3]

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 39

26 The diagram shows the map of a park and the positions of Nabil and Sara. For
Examiner’s
The park contains two areas of trees. Use

North

Trees
North

Nabil

Trees

Sara

Ahmed is also standing in the park.

He is on a bearing of 095° from Nabil.
He is on a bearing of 295° from Sara.

Ahmed starts walking on a bearing of 325°.

Tick (�) to show if Ahmed will walk through the trees if he continues walking
in this direction.

He will walk through the trees He will not walk through the trees

Show your working by drawing Ahmed’s walk on the map.

[3]

© UCLES 2025 1138/01/M/J/25 [Turn over

 40

27 Make x the subject of this formula. For

Examiner’s
Use
q  x  5
3

p=
2

x= [3]

28 A and B are independent events.

P(A) = 0.9
P(not B) = 0.3

Calculate the probability that both A and B occur.

[2]

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 41

29 ABC and DEF are similar triangles. For

Examiner’s
Use
NOT TO
F SCALE
C 45 cm

A 24 cm B D E

In triangles ABC and DEF

AB : DE = 2 : 3
BC = DF.

Calculate the perimeter of triangle ABC.

cm [3]

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© UCLES 2025 1138/01/M/J/25

 2
BLANK PAGE

Copyright © UCLES, 2025

Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge
Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.

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.

© UCLES 2019 1138/01/M/J/19

 3

For
1 (a) Write a sensible unit of measurement to complete each sentence. Examiner’s
Use

The mass of a fifty piastre coin is 6.5

The length of this page is 297

[2]

(b) Write these measurements in order from smallest to largest.

5600 ml 58 l 57 cl 5.3 l

smallest largest

[1]

2 Use the signs > , < or = to complete the statements.

10 1

6–2 26
[1]

3 Complete the table.

Mixed number Decimal

3
95 ÷ 4 23 23.75
4

216 ÷ 5

47 ÷ 3

[2]

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 4
4 Simplify. For
Examiner’s
Use
(a) 2ab – 8c + ab – 3c

[1]

(b) x3  2x3

[1]

5 The diameter of a wheel is 7 m.

Amal estimates the circumference of the wheel using π = 3.1

Work out Amal’s estimate.

m [2]

6 Nabil is thinking of a number.

The only prime factors of my

number are 2, 3 and 11.

Put a ring around the number that cannot be Nabil’s number.

66 132 198 220

[1]

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 5
For
7 Calculate. Examiner’s
Use
25 2
÷1
32 3

Give your answer as a fraction in its simplest form.

[3]

8 The exchange rate between the Egyptian Pound and the Moroccan Dirham is

LE 1 = 0.52 Dirhams.

Currency can be bought in multiples of 20 Dirhams.

Calculate the number of Dirhams that can be bought for LE 300.

Dirhams [3]

9 Estimate 150 .
Give your answer to the nearest whole number.

[1]

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 6
10 (a) Solve 6x + 5 ≥ 3x – 1. For
Examiner’s
Use

[2]

(b) Represent your answer to part (a) on the number line.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

[1]

11 The diagram shows a triangular prism.

NOT TO SCALE
13 cm 13 cm
12 cm
50 cm
10 cm

Calculate the volume of the triangular prism.

cm3 [2]

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 7
For
12 Express 108 as the product of its prime factors. Examiner’s
Use

[2]

13 P is the set of points on the line 3x + y = 16.

Q is the set of points on the line x – 2 = 3y.

(a) Place the coordinates (0, 0), (7, –5) and (5, 1) in the correct places in the Venn
diagram.

P Q

(3, 7) (11, 3)

[2]

(b) Write down the solution to the simultaneous equations.

3x + y = 16
x – 2 = 3y

x=

y= [1]

© UCLES 2019 1138/01/M/J/19 [Turn over

 8
14 Heba draws a two-way table to show the movie choices of adults and children at a For
Examiner’s
cinema. Use
There is a choice of two movies, Movie P and Movie Q.
There is a total of 40 people, 21 of them are children.
17 people watched Movie P.
8 children watched Movie Q.

Complete the two-way table to show this information.

Total

Total
[3]

15 In the equation below, a and b are two positive integers.

a b 3
+ =1
7 2 14

Find the value of a and the value of b.

a=

b= [3]

16 Nour, Maher and Sami share 165 sweets in the ratio 7 : 5 : 3.

Calculate the number of sweets Maher gets.

[2]

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 9
For
17 Quadrilaterals ABCD and PQRS are mathematically similar. Examiner’s
Use
A
50° B P Q NOT TO SCALE
50°
8 cm 6 cm

D C S R
5 cm

Calculate length RS.

cm [2]

18 Use a straight edge and compasses to construct the perpendicular of the line AB that
passes through the point P.

You must show all your construction lines.

P
B

[3]

© UCLES 2019 1138/01/M/J/19 [Turn over

 10
19 Ali asks 50 friends how many minutes they take to get to work. For
Examiner’s
The table shows some information about his results. Use

Time taken Frequency

(minutes)
0 < m ≤ 15 19
15 < m ≤ 30 17
30 < m ≤ 45 9
45 < m ≤ 60 4
60 < m ≤ 75 1

(a) Write down the modal class.

[1]

(b) Find the group containing the median.

[2]

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 11
For
20 The perimeter of this triangle is 74 cm. Examiner’s
Use

NOT TO SCALE
(a  4) cm
3(a  4) cm

2a cm

Work out the value of a.

a= [3]

21 (a) Factorise.

x2 – 25

[1]

(b) Solve by factorising.

x2 – 4x + 3 = 0

x= or x = [3]

© UCLES 2019 1138/01/M/J/19 [Turn over

 12
22 The diagram shows the rhombus ABCD. For
Examiner’s
E and F are points on the diagonal such that DE = AE = AF = FB. Use
Angle EAF = 20°.

A B NOT TO SCALE
20°

D C

(a) Calculate the size of angle BCD.

 [3]

(b) The rhombus ABCD has a side length of 2.5 cm.

It is enlarged by a scale factor of 3.

Work out the length BC and the size of angle EAF after ABCD has been enlarged.

Length BC = cm

Angle EAF =  [1]

© UCLES 2019 1138/01/M/J/19

 13
For
23 A souvenir hat is sold in seven different shops around a tourist attraction. Examiner’s
Use

The scatter graph shows information about the distance of each shop from the
attraction and the price of the souvenir hat at each shop.

80

70

Price of hat
(LE) 60

50

40
0 1 2 3 4 5 6
Distance from attraction (km)

(a) Describe the relationship between the distance from the tourist attraction and the
price of the souvenir hat.

[1]

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 14
(b) The mean distance of the shops from the attraction is 2.1 km and the mean price For
Examiner’s
of the souvenir hats is LE 59. Use

Use this information to draw a line of best fit. [2]

(c) Another shop sells the souvenir hat for LE 54.

Use your graph to estimate the distance of this shop from the tourist attraction.

km [1]

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 15
For
24 (a) A triangle is translated right 4 and down 5. Examiner’s
Use

Write this translation using vector notation.

 
 
 
[1]

(b) A rectangle is translated left 2 and up 6.

This is repeated three times.

Give a single vector to describe the movement of the rectangle.

 
 
 
[1]

25 (a) An arithmetic sequence has a 5th term of 10 and a 6th term of 10.5.

Find an expression for the nth term of this sequence.

[2]

(b) The first five terms of the sequence with nth term 4n3 – n + 2 are

5, 32, 107, 254, 497

Use this information to write down an expression for the nth term of the sequence
beginning

2, 29, 104, 251, 494

[2]

© UCLES 2019 1138/01/M/J/19 [Turn over

 16
26 Find the missing polynomial to make the statement correct. For
Examiner’s
Use

(6x3 + 2x2 – 12) – ( ) = 8x3 – 4x + 5

[3]

27 (a) Shade the Venn diagram to show A ∩ B'.

A B

[1]

(b) Draw a Venn diagram to show P  Q.

[1]
(c) H = {multiples of 3}
J = {factors of 10}

Explain why H ∩ J =  .

[1]

© UCLES 2019 1138/01/M/J/19

 17
For
28 Make t the subject of the formula. Examiner’s
Use

R = 2 – st2

t= [3]

29 The diagram shows a triangle ABC.

A
NOT TO
SCALE
2 cm
1 cm

30°
C B

(a) Use triangle ABC to

(i) find the value of sin 30,

[1]

1
(ii) show that tan 30 = .
3
Show all steps of your working.

[2]

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 17
(b) PQR is a right-angled triangle. For
Examiner’s
Use
P
Q

4 cm
NOT TO
30° SCALE

a
The area of triangle PQR can be written in the form cm2.
3
Find the value of a.

a= [3]

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© UCLES 2019 1138/01/M/J/19

 19

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© UCLES 2019 1138/01/M/J/19

 2

Copyright © UCLES, 2019

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.

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.

1 (a) Karim asks 60 men leaving a gym the amount of time, in minutes, they each exercised.
© UCLES 2023 1138/02/M/J/23
 3
The information he collected is shown in the table.

Time, t (minutes) Frequency

0 ≤ t ˂ 30 11
30 ≤ t < 60 25
60 ≤ t < 90 17
90 ≤ t < 120 7

(i) Draw a ring around the modal class.

0 ≤ t < 30 30 ≤ t < 60 60 ≤ t < 90 90 ≤ t < 120

[1]

(ii) Calculate an estimate of the mean time the men exercised.

Use the table to help you.

Time, t Frequency Midpoint Midpoint  Frequency

(minutes)
0 ≤ t < 30 11 15 165

30 ≤ t < 60 25

60 ≤ t < 90 17

90 ≤ t < 120 7

minutes [3]

© UCLES 2023 1138/02/M/J/23 [Turn over

 4
(iii) Complete the histogram to show the information Karim collected.

25

20

15
Frequency

10

0
0 30 60 90 120
Time, t (minutes)
[2]

(b) Randa designs a questionnaire to find out how frequently women go to the gym.
Here is one of her questions.

How many times did you go to the gym last week?

Tick (�) your answer.

1 2 More than 2

Write down one problem with Randa’s answer options.

[1]

© UCLES 2023 1138/02/M/J/23

 5
2 (a) A sequence begins

17, 29, 41, 53, ...

Find an expression for the nth term.

[2]

(b) Here are the first four diagrams in a different sequence.

Diagram 1 Diagram 2 Diagram 3 Diagram 4

(i) Complete this table.

Diagra Number Number of Total number of

m of crosses dots and
numbe dots crosses
r
1 1 0 1

2 3 1 4

3 6 3 9

4 6

5 25

8 36
[2]

(ii) Diagram k in the sequence is made from 105 dots and 91 crosses.

Find the value of k.

© UCLES 2023 1138/02/M/J/23 [Turn over

 6
k= [1]

© UCLES 2023 1138/02/M/J/23

 7
3 (a) Solve.

4(3x + 5) – 2(x – 4) = 3x

x= [3]

(b) Solve.

x
11 – >3
2

[2]

(c) The equation x2 – 3x = 22 has a solution between x = 6 and x = 7.

Complete the table to find this solution correct to one decimal place.

x x2 – 3x

6 62 – 3  6 = 18

7 72 – 3  7 = 28

6.4

6.5

6.45

x= [3]

© UCLES 2023 1138/02/M/J/23 [Turn over

 8
4 (a) Rectangles A and B are mathematically similar.

NOT TO
SCALE
width = 3 cm A B

length = 6 cm

Write down the ratio width : length for rectangle B.

Give your answer in the form 1 : n.

1: [1]

(b) Triangles ABC and DEF are mathematically similar.

D
A NOT TO
SCALE
3.5 cm 4.2 cm

105° y°
B E
C 5 cm x cm
F

(i) Calculate the value of x.

x= [2]

(ii) Write down the value of y.

y= [1]

© UCLES 2023 1138/02/M/J/23

 9
(c) The diagram shows two right-angled triangles, KLM and KMN.

NOT TO
SCALE
L
25.0 cm
20.2 cm

35°

M N

KM = 20.2 cm
KN = 25.0 cm
Angle KML = 35

(i) Calculate angle KNM.


[2]

(ii) Calculate the length LM.

cm [2]

© UCLES 2023 1138/02/M/J/23 [Turn over

 10
5 (a) Sally, Maha and Huda share some money.

Sally’s share : Maha’s share = 1 : 2

Maha’s share : Huda’s share = 6 : 7

Huda’s share is LE 5250.

Calculate Sally’s share of the money.

LE [3]

(b) Sally buys a coat in a sale.

35% off full price

Sale price LE 1560

Calculate the full price of the coat.

LE [2]

© UCLES 2023 1138/02/M/J/23

 11

(c) Maha invests LE 3600 in an account that pays simple interest at a rate of
2% each year.

Calculate how much interest Maha receives after 3 years.

LE [2]

(d) Huda invests LE 2500 in an account that pays compound interest at a rate of
2.3% each year.

Show that Huda has more than LE 2800 in her account after 5 years.

[2]

© UCLES 2023 1138/02/M/J/23 [Turn over

 12
6 (a) Line L is shown on the grid.

y
10 Line L

−2 −1 0 1 2 3 4 5 x

−2

−4

−6

−8

(i) Find the coordinates of the point of intersection of line L and the line y = 5.

( , ) [1]

(ii) Find the gradient of line L.

[1]

© UCLES 2023 1138/02/M/J/23

 13
(b) Line M has a gradient of –2 and passes through the point (1, 0).

Find the equation of line M.

[2]

(c) Draw the line with equation 2x + 3y = 9 on the grid.

You may use the table of values to help you.

x 0 3 6
y

y
5

0
1 2 3 4 5 6 x
−1

−2

−3

[3]

© UCLES 2023 1138/02/M/J/23 [Turn over

 14
7 (a) Triangles T and U are shown on the grid.
y
6

T
2

−6 −4 −2 0 2 4 6 x
U
−2

−4

−6

(i) Maher gives this description of the transformation that maps triangle T to
triangle U.

It is a translation of 4 squares.

Maher has not given a complete description.

Explain what information is missing from Maher’s description.

[1]

© UCLES 2023 1138/02/M/J/23

 15
(ii) Triangle T is reflected in the line y = x to give triangle V.
Triangle V is then reflected in the y-axis to give triangle W.

Draw triangle W on the grid.

y
6

T
2

−6 −4 −2 0 2 4 6 x

−2

−4

−6
[2]

(b) The coordinates of points A and B are

point A (–6, 8)
point B (10, –4)

C is the projection of point B on the x-axis.

D is on AB such that AD : DB = 1 : 3.

Calculate the length of the line segment CD.

[4]

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 16
8 (a) Draw a ring around the reciprocal of 25.

–0.25 –0.04 0.04 0.25

[1]

(b)  and  represent numbers.

  1.5 = 42.6
 ÷ 5.5 = 7.7

Calculate the value of  + .

[2]

(c) Use a calculator to find the value of

1
 (552 – 1).
6  102

[1]

(d) x is the number 23  72  11.

The lowest common multiple of x and y is 23  3  72  112.
y is an even number less than 1000.

Find the value of y.

[2]

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 17
9 (a) A bag contains numbered counters.
Every counter is numbered with a 1 or a 2 or a 3.
Sami takes a counter from the bag at random.
The table shows some of the probabilities.

Number on counter 1 2 3

Probability 0.34 0.22

(i) Complete the table.

[1]

(ii) Calculate the probability that the counter that Sami takes is numbered with
a 1 or a 3.

[1]

(b) Tamer throws two fair six-sided dice, each numbered 1 to 6.

One dice is red and one dice is blue.

Event A The red dice gives an even number

Event B The blue dice gives a number less than 3
Event C The blue dice gives a number that is a multiple of 3

(i) Tick (�) to show if each statement is true or false.

True False

Events A and B are mutually exclusive

Events A and B are independent

[1]

(ii) Find the probability that both events A and C occur.

Give your answer as a fraction.

[2]

© UCLES 2023 1138/02/M/J/23 [Turn over

 18
10 (a) AB is a diameter of this circle.

C NOT TO
SCALE

55°
A B

C is a point on the circumference of the circle.

Find the size of angle ABC.


[2]

(b) Construct a square inscribed inside this circle.

A diameter has been drawn for you.
Do not rub out your construction arcs.

[2]

© UCLES 2023 1138/02/M/J/23

 17
(c) The shape EFGH is made from a sector of a circle and a semicircle.

F
NOT TO
SCALE

50°
E G
5.6 cm

EG = 5.6 cm

Calculate the perimeter of the shape EFGH.

cm [4]

© UCLES 2023 1138/02/M/J/23

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© UCLES 2023 1138/02/M/J/23

 19

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© UCLES 2023 1138/02/M/J/23

 20

Copyright © UCLES, 2023

Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local
Examinations Syndicate (UCLES), which is a department of the University of Cambridge.

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.

© UCLES 2025 1138/02/M/J/25

 21

1 (a) Write 0.009 in standard form. For

Examiner’s
Use

[1]

(b) Calculate.
1
 3.2 ×104
2×105

Give your answer as an ordinary number.

[1]

(c) Here are three mathematical signs.

= < >

Complete each of the following statements by writing one of the three signs.

Reciprocal of 1 1

Reciprocal of 0.08 0.08

Reciprocal of 10 Reciprocal of 6
[1]

© UCLES 2025 1138/02/M/J/25 [Turn over

 22
For
2 (a) The Venn diagram shows the elements of the sets , A and B. Examiner’s
Use

A B
2

1
9 3
4
6

7 5 8

(i) Write down the number of elements in set .

[1]

(ii) List the elements in set A  B.

[2]

(iii) Here is some information about another set, set C.

C  B.
There are no elements in C  A.
The number of elements in set C is 3.

List the elements in set C.

[1]

© UCLES 2025 1138/02/M/J/25

 23
(b) Tick (�) to show if each statement is true or false. For
Examiner’s
Use

True False

0.44 is a rational number

6
is a rational number
7
π is a real number

16 is an irrational number
[2]

© UCLES 2025 1138/02/M/J/25 [Turn over

 24
For
3 (a) Sally owns a restaurant that serves pasta. Examiner’s
She records the mass of pasta served to 40 customers. Use

The table shows her results.

Mass, m (grams) Number of

customers
160  m < 170 4

170  m < 180 3

180  m < 190 5

190  m < 200 19

200  m < 210 9

(i) Calculate the percentage of these 40 customers that are served

at least 190 grams of pasta.

% [2]

(ii) Write down the modal class for the mass of pasta served.

[1]

(iii) Calculate an estimate for the mean mass of pasta served.

grams [3]

© UCLES 2025 1138/02/M/J/25

 25
(b) Sally’s restaurant also serves three types of dessert, basbousa, kunafa and umm ali. For
Examiner’s
The pictogram shows the number of customers choosing basbousa. Use

Basbousa

Kunafa

Umm ali

Key: represents 4 customers

The number of customers choosing

 kunafa is 8 less than the number choosing basbousa
 umm ali is half as many as the number choosing basbousa.

Complete the pictogram.

[3]

© UCLES 2025 1138/02/M/J/25 [Turn over

 26
For
4 (a) The chart shows the distances (in kilometres) by road between five towns, Examiner’s
A, B, C, D and E. Use

56 B

86 110 C

128 134 51 D

101 78 79 70 E

(i) Write down the distance by road between town B and town E.

km [1]

(ii) Nada cycles by road from town C to town D.

Her journey takes 3 hours.

Calculate her average speed.

km/h [2]

(iii) All of the distances in the chart are given correct to the nearest kilometre.
One of the distances in the chart is 86 kilometres.

Write down the lower bound for this distance.

km [1]

© UCLES 2025 1138/02/M/J/25

 27

(b) The table shows some information about the heart beats of two animals. For
Examiner’s
Use

Tiger Lion
4800 heart beats per hour 79 200 heart beats per day

Show that in one minute the tiger’s heart makes 25 more beats than the
lion’s heart.

[2]

© UCLES 2025 1138/02/M/J/25 [Turn over

 28
For
5 (a) The diagram shows point P drawn on a grid. Examiner’s
Use
y
4

2
P
1

–4 –3 –2 –1 0 1 2 3 4 x
–1

–2

–3

–4

Maher reflects point P in the line y = 1.

His image is the point with coordinates (2, 2).

Tick (�) to show if Maher has reflected point P correctly.

Maher has reflected point P correctly

Maher has not reflected point P correctly

Give a reason for your answer.

[1]

© UCLES 2025 1138/02/M/J/25

 29
(b)  1  For
Shape T is translated by the vector Examiner’s
 4  to give shape U.
  Use

 3
Shape U is then translated by the vector to give shape V.
 
 7 

Write down the vector for the single translation that maps shape T onto shape V.

 
 ..........
 
 
 .......... [2]

(c) The diagram shows shape D drawn on a grid.

y
8

3
D
2

–3 –2 –1 0 1 2 3 4 5 6 7 8 9 x
–1

–2

–3

–4

1
Enlarge shape D by scale factor , centre (1, 7).
3
Draw your answer on the grid.
[2]

© UCLES 2025 1138/02/M/J/25 [Turn over

 30
6 (a) The diagram shows the graph of y = 9 – x2. For
Examiner’s
Use
y
10

–4 –3 –2 –1 0 1 2 3 4 x
–1

–2

Write down the coordinates of the two points where the graph intersects
the x-axis.

(………… , …………) and (………… , …………) [2]

© UCLES 2025 1138/02/M/J/25

 31
(b) On the grid, draw the graph of 3x + y = 12 for values of x between 0 and 5. For
Examiner’s
Use

y
14

12

10

0
1 2 3 4 5 x

–2

–4

–6

[3]

© UCLES 2025 1138/02/M/J/25 [Turn over

 32
7 (a) Solve the equation 10 – 3t = 4(t – 8). For
Examiner’s
Use

t= [3]

(b) Complete the table to find the positive solution to the equation x2 – 5x = 45.
Give your answer correct to 1 decimal place.

x x2 – 5x

10 102 – 5 × 10 = 50

9 92 – 5 × 9 = 36

9.5 42.75

9.6

9.7

9.65

x= [3]

© UCLES 2025 1138/02/M/J/25

 33
(c) Adel fills small glasses and large glasses with water. For
Examiner’s
He uses 1290 ml of water to fill 2 small glasses and 3 large glasses. Use
He uses 490 ml of water to fill 1 small glass and 1 large glass.

By forming and solving simultaneous equations, find how many small glasses
Adel can completely fill using 4000 ml of water.

[4]

© UCLES 2025 1138/02/M/J/25 [Turn over

 34
8 (a) The diagram shows a trapezium JKLM and a parallelogram JNLM. For
Examiner’s
Use

M 11.5 cm L

NOT TO
6.0 cm
SCALE

J N K
3.2 cm

Angle NKL = 90°.

ML = 11.5 cm .
NK = 3.2 cm .
LK = 6.0 cm .

(i) Calculate the area of the trapezium JKLM.

cm2 [2]

(ii) Calculate the length LN.

cm [2]

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 35
(b) EFG is a right-angled triangle. For
Examiner’s
Use
E

34°
NOT TO
SCALE
H

7.5 cm

F 8.8 cm G

EHF is a straight line.

HF = 7.5 cm.
FG = 8.8 cm.
Angle FEG = 34.

Calculate the size of angle HGE.

 [3]

© UCLES 2025 1138/02/M/J/25 [Turn over

 36
9 (a) The diagram shows a shape made by joining two cuboids together. For
Examiner’s
Use

3 cm NOT TO
SCALE
2 cm
2 cm

2 cm

3 cm
6 cm

Draw this shape on the isometric dotted paper.

One edge has been drawn for you.

[2]

© UCLES 2025 1138/02/M/J/25

 37

(b) The diagram shows a full-size drawing of the net of a cylinder. For
Examiner’s
Use

Use the net to find the curved surface area of the cylinder.

cm2 [2]

© UCLES 2025 1138/02/M/J/25 [Turn over

 38
For
10 (a) A shop sells furniture. Examiner’s
Use

(i) The cost of a table is LE 10 400.

The cost of a chair is LE 7200.

The shop has the following sale.

Sale

Get 7.5% off the cost when you

buy 1 table and 4 chairs.

Karim buys 1 table and 4 chairs.

Calculate the total cost of Karim’s furniture in the sale.

LE [3]

(ii) The shop increases the cost of all its furniture by 12%.
A bed increases in cost by LE 3060.

Calculate the cost of the bed after the increase.

LE [2]

© UCLES 2025 1138/02/M/J/25

 39
(b) A different shop sells a laptop. For
Examiner’s
Huda and Nour share the cost of the laptop. Use
The ratio of Huda’s share to Nour’s share is 5 : 9 .

Nour’s share is LE 22 950.

Find the cost of the laptop.

LE [2]

© UCLES 2025 1138/02/M/J/25 [Turn over

 40
For
11 (a) Here is a formula. Examiner’s
Use
y = 4(x + 2)2

Find the value of y when x = –5.5 .

y= [1]

(b) Factorise y2 + 15y + 54.

[2]

(c) Simplify mn– 2 × m4n6 .

[2]

© UCLES 2025 1138/02/M/J/25

 23
(d) The diagram shows a shape made from one large square and two small squares. For
Examiner’s
Use
NOT TO
SCALE

x cm

The two small squares are congruent and have sides of length x cm.
The side length of the large square is 4 cm longer than the side length of each
small square.

Find an expression for the area of the whole shape.

Give your answer in its simplest form.

cm2 [3]

© UCLES 2025 1138/02/M/J/25

 2

BLANK PAGE

Copyright © UCLES, 2025

Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.

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.

1 (a) ABC is a triangle with

© UCLES 2017 1138/02/M/J/17
 3
AB = 9.5 cm
AC = 7.0 cm
BC = 6.5 cm

(i) Use a ruler and compasses to construct triangle ABC.

The side AB has been drawn for you.
Leave in your construction arcs.

A B

[2]

(ii) Shade the locus of points inside triangle ABC that are no more than 3 cm from A.

[1]

© UCLES 2017 1138/02/M/J/17 [Turn over

 4

(b) The diagram shows the line DE.

D E

Construct the perpendicular bisector of DE.

Leave in your construction arcs.

[2]

© UCLES 2017 1138/02/M/J/17

 5

2 (a) The 2nd term of a sequence is 6.

The term-to-term rule of the sequence is multiply by 2.

Find the mean of the first four terms of this sequence.

[2]

(b) Karim uses grey and white counters to make a sequence of patterns.

Pattern 1 Pattern 2 Pattern 3 Pattern 4

(i) Find the ratio of grey counters to white counters in Pattern 5.

Give your ratio in its simplest form.

grey : white = : [2]

© UCLES 2017 1138/02/M/J/17 [Turn over

 6

(ii) Find an expression for the number of white counters in Pattern n.

[1]

(iii) Find an expression for the total number of counters in Pattern n.

[2]

© UCLES 2017 1138/02/M/J/17

 7

3 (a) Here is a list of ingredients needed to make 20 biscuits.

Ingredients for 20 biscuits

100 g sugar
200 g butter
400 g flour
10 almonds

(i) Adel has 500 g of butter.

He has lots of the other ingredients.

Work out the maximum number of biscuits Adel can make.

biscuits [2]

(ii) Hala makes 24 biscuits.

1 kg of sugar costs LE 7.50.

Work out the cost of the sugar Hala uses.

LE [3]

© UCLES 2017 1138/02/M/J/17 [Turn over

 8

(b) A supermarket sells a bag of flour for LE 6.40.

It reduces the price of the flour to LE 5.60.

Calculate the percentage reduction in the price.

% [2]

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 9

4 (a) The diagram shows triangle P drawn on a grid.

y
10

5
P
4

–3 –2 –1 0 1 2 3 4 5 6 7 x
–1

–2

–3

1
(i) On the grid, draw an enlargement of triangle P, scale factor and centre (0, 0).
3
Label the image Q. [2]

(ii) Describe fully the transformation that maps triangle Q onto triangle P.

[2]

© UCLES 2017 1138/02/M/J/17 [Turn over

 10

(b) This grid shows rectangle R.

5
R
4

–3 –2 –1 0 1 2 3 4 5 6 7 8 9 x
–1

–2

–3

 5
Rectangle R is first translated by vector   .
 2 
  8
The image from this translation is then translated by vector  .
 1

(i) Draw the final position of the rectangle on the grid.

Label the rectangle S. [2]

(ii) A single translation will map rectangle S back to rectangle R.

Write down the vector for this translation.

 
 
 
 
  [1]

© UCLES 2017 1138/02/M/J/17

 11

5 (a) The Venn diagram shows sets M and N.

M N
2 3
4
8 6

10 9
1 7
5

(i) Write down the elements in set N.

[1]

(ii) Describe, in words, the elements of set M.

[1]

(iii) Write down the elements in the set M  N.

[1]

(b) Tick (�) to show whether each number is rational or irrational.

Rational Irrational

31

3 3

3π
[2]

© UCLES 2017 1138/02/M/J/17 [Turn over

 12

6 The back to back stem-and-leaf diagram shows the distances, in metres, that 26 girls and
27 boys threw a ball.

girls boys
9 8 7 0
9 8 7 6 4 3 3 2 0 1 0 3 4 5 5 6
9 8 6 5 5 3 1 2 0 1 1 3 5 6 7 8 9
8 7 7 6 5 2 3 2 3 4 6 7 8 9
0 4 1 4 5 6 8

Key: 1 | 2 | 0 represents a throw of 21 metres by a girl

and a throw of 20 metres by a boy

(a) Find the number of boys who threw the ball more than 30 metres.

[1]

(b) Complete the table.

median (metres) range (metres)

girls 33

boys 28

[2]

(c) Compare the distances thrown by the boys and the girls.
You should make two comparisons.

Comparison 1

Comparison 2

[2]

© UCLES 2017 1138/02/M/J/17

 13

7 The table shows the interior and exterior angles for some regular polygons.

Number of sides Exterior angle Interior angle

3 120° 60°

4 90° 90°

5 108°

30°

(a) Complete the table.

[3]

(b) Explain why regular pentagons do not tessellate.

[1]

(c) Heba makes a tessellation using squares and equilateral triangles.

Around each point she has two squares and some equilateral triangles.

Work out how many equilateral triangles she has around each point.

[2]

© UCLES 2017 1138/02/M/J/17 [Turn over

 14

(d) Nabil and Maher have some tiles in the shape of regular octagons and squares.
The side length of the octagons is equal to the side length of the squares.

Nabil fits four tiles together to make this shape with perimeter 42a cm.

NOT TO
SCALE

Perimeter = 42a cm

Maher arranges the same four tiles to make this shape.

NOT TO
SCALE

Find an expression in terms of a for the perimeter of Maher’s shape.

cm [2]

© UCLES 2017 1138/02/M/J/17

 15

8 (a) Draw the line y = 2x – 1 on the grid.

You may use this table of values to help you.

x 0 2 4

y
10

x
–2 –1 0 1 2 3 4 5
–1

–2

–3

–4

–5

–6

[2]

© UCLES 2017 1138/02/M/J/17 [Turn over

 16

(b) (i) Complete this table of values for 2x + y = 5.

x 0 2 4

y 5 ‒3

[1]

(ii) Draw the line 2x + y = 5 on the grid in part (a).

[1]

(c) Use your graphs to solve the simultaneous equations

y = 2x – 1
2x + y = 5

x=

y= [1]

(d) A third line has equation 3x + 5y = 15.

Find the gradient of this line.

[2]

© UCLES 2017 1138/02/M/J/17

 17

9 ABCDEF is a regular hexagon inscribed inside a circle centre O.

NOT TO
C SCALE
A
7 cm

F D

AO = 7 cm.

(a) Calculate the area of the sector AOB.

cm2 [3]

(b) Explain why angle FDC equals 90°.

[1]

© UCLES 2017 1138/02/M/J/17 [Turn over

 18

(c) Calculate the length FD.

cm [3]

© UCLES 2017 1138/02/M/J/17

 19

10 (a) Expand and simplify.

(x – 4)2

[2]

(b) Factorise.

xy + 4x + 3y + 12

[2]

(c) The equation x2 – x = 17 has a solution between x = 4 and x = 5.

Use the method of trial and improvement to find this solution correct to one decimal
place.
You should use this table to help you.

x x2 ‒ x Too big or too small?

4 42 – 4 = 12 Too small

5 52 – 5 = 20 Too big

4.7 4.72 – 4.7 = 17.39 Too big

4.6

4.65

x= [3]

© UCLES 2017 1138/02/M/J/17 [Turn over

 20

(d) The roots of the quadratic equation x2 + ax + b = 0 are 2 and ‒5.

Find the values of a and b.

a=

b= [2]

© UCLES 2017 1138/02/M/J/17

 21

11 A tower is 220 m tall.

(a) A model of the tower is made to a scale of 1 : 500.

Calculate the height of the model tower.

Give your answer in centimetres.

cm [2]

(b) The model is made from metal with a density of 7.8 g / cm3.
The volume of the model is 3500 cm3.

Calculate the mass of the model in grams.

g [2]

© UCLES 2017 1138/02/M/J/17 [Turn over

 22

(c) A man stands at a point A, 160 m from the base of the vertical tower BC.

B
NOT TO
SCALE

220 m

A C
160 m

The tower is 220 m tall and the ground is horizontal.

Calculate the angle of elevation of the top of the tower from the man.

 [2]

© UCLES 2017 1138/02/M/J/17

 23

12 (a) A bag contains 50 coloured pens.

Each pen is either red or blue or green.

There are n red pens in the bag.

There are 2 more blue pens than red pens.
There are twice as many green pens as there are red pens.

A pen is picked from the bag at random.

By forming an equation in n, find the probability that the pen is either red or green.

[4]

© UCLES 2017 1138/02/M/J/17 [Turn over

 23

(b) Tamer has two bags containing cards numbered with whole numbers.
Bag A contains the cards

1 2 2 3 4

2
In Bag B, of the cards are numbered with an even number.
3
He takes one card, at random, from each bag.

Find the probability that both cards are numbered with an even number.

[3]

© UCLES 2017 1138/02/M/J/17

 2

BLANK PAGE 1 A
swi
mmi
ng
club
ente
rs a
divi
ng
com
petit
ion.

(a) T

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.

Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of
Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

© UCLES 2019 1138/02/M/J/19

 3
ast 12 years old For
Examiner’s
and Use
less than 17 years old.

Write a single inequality to show the age, n, of any student in the competition.

n [2]

(b) The travel time to the competition is 3.2 hours.

Write this in hours and minutes.

hours minutes [1]

(c) The cost of entering the competition in 2018 is LE 167.

The cost increases by 13% in 2019.

Calculate the cost of entering the competition in 2019.

LE [2]

© UCLES 2019 1138/02/M/J/19 [Turn over

 4
For
(d) Students enter the competition as Juniors or Seniors. Examiner’s
The minimum teacher to student ratio for the competition is Use

1 : 9 for Juniors and 1 : 13 for Seniors.

The number of Juniors and the number of Seniors attending the competition is
shown in the table.

Number of students
Juniors 70
Seniors 121

Calculate the minimum number of teachers required.

[2]

© UCLES 2019 1138/02/M/J/19

 5

2 (a) (i) Write the value of  correct to 4 decimal places. For

Examiner’s
Use

[1]

(ii) Draw an arrow on the number line to show an estimate of .

390 400 410 420

132 132 132 132

[1]
(b) 22
The fraction can be used as an approximation for .
7
Tick (✓ ) all the statements that are true.

 is an irrational number  is a recurring decimal

22 22
is a recurring decimal is an irrational number
7 7
[1]

1
(c) A sphere has a radius of cm.
2
4
The formula V = r3 is used to find the volume of a sphere.
3

22
Use as an approximation for  to calculate the volume of the sphere.
7
Give your answer as a fraction in its simplest form.

cm3 [2]

© UCLES 2019 1138/02/M/J/19 [Turn over

 6
For
3 (a) Mona is investigating how many students use the school bus to travel to school. Examiner’s
She counts the number of students that get off the school bus each morning for a Use

week.
Her data is shown in the table.

Sunday Monday Tuesday Wednesday Thursday

174 167 145 155 89

(i) Explain why Mona’s data is discrete data.

[1]

(ii) Calculate the mean number of students using the bus per day.

[1]

© UCLES 2019 1138/02/M/J/19

 7
For
(b) Mona also collects data about the number of students who walk to school that Examiner’s
week. Use

She presents all her data in a graph.

200
180 Bus Walk
160
140
120
Frequency 100
80
60
40
20
0
Sunday Monday Tuesday Wednesday Thursday

Use Mona’s graph to

(i) estimate the number of students that walked to school on Wednesday,

[1]

(ii) compare the number of students who take the bus to school and the number
of students who walk to school.

You should make two comparisons.

Comparison 1

Comparison 2

[2]

© UCLES 2019 1138/02/M/J/19 [Turn over

 8
For
(c) Mona wants to count the number of students who arrive at school by car. Examiner’s
She plans to count the number of cars that arrive at school 10 minutes before Use

school starts.

Explain how Mona could improve her data collection.

[1]

© UCLES 2019 1138/02/M/J/19

 9

4 A 2  2 grid is highlighted on a one hundred square. For

Examiner’s
Use

1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 10
0

(a) Calculate the difference in the products of the two diagonally opposite corners of
the 2  2 grid shown.

[2]

(b) A 3  3 grid is highlighted on the one hundred square.

a and d, and b and c are pairs of diagonally opposite corners of the 3  3 grid.

1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 a 58 b 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 c 78 d 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 10
0

The product of diagonally opposite corners b and c, can be written in terms of a

as (a + 2)(a + 20).

© UCLES 2019 1138/02/M/J/19 [Turn over

 10
For
(i) Expand and simplify (a + 2)(a + 20). Examiner’s
Use

[2]

(ii) Write down an expression for the product of the diagonally opposite corners
a and d, in terms of a.

[1]

(iii) Use your answers to part (b)(i) and part (b)(ii) to show that the difference
between the two products is 40.

[1]

© UCLES 2019 1138/02/M/J/19

 11
For
5 Shape PQRS is shown on the grid. Examiner’s
Use

y
12
11
10
9
8
7 P
6
5 S Q
4 R'
3
R
2 C
1

–8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 x
–1
–2
–3
–4
–5
–6

(a) (i) Shape PQRS is rotated about the point C so that R maps onto R'.

Complete the rotation and label each vertex. [1]

(ii) Write down the angle and direction of this rotation.

[1]

(iii) Draw the locus of the point R as it is rotated about C. [1]

(iv) T is a point on the grid with an x-coordinate of 0 and a positive y-coordinate.

The distance CP is the same as distance CT.

Complete the coordinate for T.

T= ( 0 , ) [1]

© UCLES 2019 1138/02/M/J/19 [Turn over

 12
For
(b) (i) Find the gradient of the line RS. Examiner’s
Use

[2]

(ii) The line RS is extended to create line A.

Find the coordinates of the point where line A crosses the y-axis.

( , ) [1]

(iii) Find the equation of the line that passes through points P and Q.

[2]

© UCLES 2019 1138/02/M/J/19

 13
For
6 A model for a building is made from a square-based pyramid and a cube. Examiner’s
Use

NOT TO
SCALE

(a) Write down the number of planes of reflection symmetry in the model.

[1]

(b) Sketch the plan and the front elevation of the model.

Plan Front elevation

[2]

© UCLES 2019 1138/02/M/J/19 [Turn over

 14
For
(c) The length of each diagonal edge of the square-based pyramid is 12 cm. Examiner’s
The length of each edge of the base is 10 cm. Use

NOT TO
12 cm
SCALE

10 cm

(i) The net used to make the square-based pyramid is shown below.

NOT TO
SCALE

Find the area of one triangular face.

cm2 [4]

(ii) Find the total surface area of the square-based pyramid.

cm2 [2]

© UCLES 2019 1138/02/M/J/19

 15
1 1 For
7 (a) Solve (x  8)  x . Examiner’s
Use
2 3

x= [2]

1 2
(b) Find the value of 5n  n when n = –1.2.
3

[2]

xy5
(c) Simplify y 
2
.
4

[2]

© UCLES 2019 1138/02/M/J/19 [Turn over

 16
For
8 Randa travels to school on the bus. Examiner’s
Use
(a) The probability the bus is late is 0.07.

Write down the probability that the bus is not late.

[1]

(b) (i) Randa takes the bus on two consecutive days.

Complete the tree diagram.

Day 1 Day 2
Bus is
.......... not late

Bus is
not late
..........
.......... Bus is late

Bus is
.......... not late
0.07
Bus is late

0.07
Bus is late

[1]

(ii) Calculate the probability that the bus is late on two consecutive days.

[2]

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For
(c) When the bus is late Randa is more likely to be late for school. Examiner’s
Event A is the bus is late. Use

Event B is Randa is late for school.

Tick () to show whether each statement is true or false.

True False

A and B are independent events.

A and B are mutually exclusive events.

[1]

(d) Randa records whether the bus is late or not late for one year.
She also records whether she is late or not late for school.
Her results are shown in the table.

Late for school Not late for school

Bus is late 6 2

Bus is not late 3 149

Calculate an estimate of the probability that the bus is late and Randa is not late
for school.

[2]

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Question 9 starts on the next page.

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 19

9 (a) Complete the table of values for y = x2 – 2x. For

Examiner’s
Use

x –2 –1 0 1 2 3 4 5

y 3 0 3 15

[2]

(b) On the grid, draw the graph of y = x2 – 2x for –2  x  5.

y

–4 –3 –2 –1
–1

–2

–3

–4
[2]

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(c) The equation x2 – 2x = b has two solutions, x = 0 and x = 2. For

Examiner’s
Use

Use your graph to find the value of b.

b= [1]

(d) Sara builds and sells computers.

Her profit, y, when she builds and sells x computers, can be modelled by the
graph of y = x2 – 2x, when x is positive.

Find the minimum number of computers Sara needs to build and sell to make a
profit.

[1]

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For
10 Kamel travels to the USA. Examiner’s
Use
(a) Distances in the USA are measured in miles.
Tick () the range that is the best estimation for 90 miles.

30 km to 60 km

60 km to 90 km

90 km to 120 km

120 km to 150 km

[1]

(b) The chart shows the distances, in miles, when driving between some cities in
Arizona.

Chandler

167 Flagstaff

83 115 Payson

22 144 89 Phoenix

122 95 100 100 Prescott

138 29 87 117 610 Sedona

(i) Kamel hires a car in Phoenix and drives to Sedona, then to Flagstaff and then
back to Phoenix.

Calculate the distance Kamel drives.

miles [2]

(ii) Petrol consumption can be measured in miles per gallon.

Kamel uses 10 gallons of petrol for his journey.

Calculate his average petrol consumption.

miles per gallon [1]

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For
(c) A small town is 69 miles due east of Phoenix and 56 miles due north of Tucson. Examiner’s
Use

Use this information to calculate the bearing of Tucson from Phoenix.

NOT TO SCALE
Phoenix

Tucson

 [4]

(d) The total distance travelled by Kamel on his trip is 1100 miles, correct to the
nearest 10 miles.

Write down the upper bound and lower bound of this distance.

Upper bound miles

Lower bound miles

[2]

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For
11 The monthly electricity bill, C (LE), for a household is made up of a fixed service Examiner’s
charge and a cost for each d units used. Use

(a) Households that use 50 units or less per month can calculate their bill using the
formula shown.
C = 0.11d + 11 when d  50

(i) Calculate the electricity bill for a household that uses 38 units in a month.

LE [2]

(ii) The cost of electricity increases.

When d ≤ 50, the new cost is 13 piastres per unit.
The fixed service charge stays the same.

Write a new formula for the electricity bill per month.

C= , when d  50 [1]

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For
(b) Households using more than 50 units per month pay a higher rate for each Examiner’s
additional unit used. Use

The rates are shown in the table.

Number of units (d) Cost per unit

d  50 13 piastres
51 to 100 22 piastres
101 to 200 27 piastres
201 to 350 55 piastres
Fixed Service Charge LE 11

(i) Sally uses 56 units per month.

In Sally’s bill, only 6 of the units are charged at 22 piastres.

Explain why.

[1]

(ii) Ahmed uses 130 units per month.

Calculate his electricity bill.

LE [3]

Question 11 continues on the next page.

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For
(c) In a factory, 60 machines running for 30 days use 1214 units of electricity. Examiner’s
Use

How many days would 50 of these machines take to use the same amount of
electricity?

[2]

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© UCLES 2019 1138/02/M/J/19