June 2024 · Paper 1R (4MB1/01R) (Edexcel IGCSE Maths): Exam Questions

Write 75 millimetres as a fraction of 3 metres.

Give your answer in its simplest form.



Write 5.142 557 to 3 decimal places.



Write 6281 to 3 significant figures.



t v

8

3 Simplify

2

t v

2



The nth term of a sequence is given by

2

n +

7

100

Find the 5th term of the sequence.



Barney says that 37 is a term in the sequence.

Barney is wrong.

The nth term of a sequence is given by

2

n +

7

100

Explain why Barney is wrong.

Evaluate

2

3 10

Give your answer in standard form.



Simplify

(

36

)

2



Without using a calculator and showing all your working, calculate

2 1

2 1

÷

4

7

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



Given that

3

y

x

12

2

x

d

y

find

d

x

d

y

x = ..............................................................



d

c

f

a = 40

to the nearest whole number

c = 2.2 to 1 decimal place

f = 0.6 to 1 decimal place

Calculate the upper bound for the value of X

Show your working clearly.



y

5

x

−3

The region R, shown shaded in the diagram, is bounded by three straight lines.

Find three inequalities that define R







The diagram shows the point A and the point B

A

B

Construct the locus of all points that are 4 cm from A

The diagram shows the point A and the point B

A

B

Using ruler and compasses, and showing all your construction lines, construct

the perpendicular bisector of AB

The region R consists of all the points that are nearer to B than to A and that are less

than 4 cm from A

The diagram shows the point A and the point B

A

B

Show, by shading, the region R

Label the region R

A

Diagram NOT

accurately drawn

B

C

12.6 cm

The diagram shows isosceles triangle ABC where AB

AC

=

90°

BAC

BC =12 6. cm

Calculate the perimeter, in cm to one decimal place, of the triangle.

.............................................................. cm

T

P

40°

R

Q

The diagram shows shape PTRQ where PRQ is a triangle and PTR is a semicircle with

diameter PR

90°

40°

PQR

PRQ

PQ = 8 cm

Calculate the total area, in cm² to the nearest whole number, of shape PTRQ

.............................................................. cm²

Solve the simultaneous equations

x

y

2

6

14

x

y

3

5

10

Show clear algebraic working.

x = ..............................................................

y = ..............................................................

Make y the subject of

y

8

A

8 cm

C

Diagram NOT

O

accurately drawn

P

3 cm

D

4 5. cm

B

A, D, B and C are points on a circle centre O

COD is a diameter of the circle.

AB is a chord of the circle.

COD and AB intersect at the point P

AP = 8 cm

PB = 4 5. cm

PD = 3 cm

Calculate the circumference, in cm to 3 significant figures, of the circle.

.............................................................. cm









9

Find the position vector of the point B





















9

Calculate ½

½, giving your answer as a surd.

½

½ = ..............................................................

The table gives information about the heights, in cm, of 80 plants in a garden.

Find the class interval that contains the median height of these plants.



The table gives information about the heights, in cm, of 80 plants in a garden.

Calculate an estimate for the mean height, in cm, of these plants.

.............................................................. cm

The students in class 7T and the students in class 8Y were asked to name their favourite

ice cream flavour.

The table shows information about the favourite ice cream flavour for class 7T

The pie chart shows information about the favourite ice cream flavour for class 8Y

class 7T

class 8Y

vanilla

chocolate

80°

152°

128°

strawberry

There are 32 students in class 7T

There are 45 students in class 8Y

More students in class 7T than in class 8Y said vanilla was their favourite

ice cream flavour.

Find how many more.



Solve

y

5

4

7

2

Show clear algebraic working.

y = ..............................................................

A

x

w

8

2

Work out the value of x when A 35 and w 4 5.

x = ..............................................................

O

The diagram shows a solid shape made by joining a large hemisphere and a small

hemisphere.

The centre of the base of the large hemisphere and the centre of the base of the small

hemisphere meet at the point O

radius of large hemisphere : radius of small hemisphere = 3 : 1

2

The total surface area of the solid shape is 567

$\pi$ cm

Calculate the total volume, in cm³ to 3 significant figures, of the solid shape.

.............................................................. cm³

Express

a a where a is an integer.

in the form

50

242



12

Express

where x and y are integers.

− in the form

y x

y

5

1

Show each stage of your working.



, where k is a constant.

4 is a factor of 6

x

3

2

x

kx

x

26

24

Use the factor theorem to show that k = 19

, where k is a constant.

4 is a factor of 6

x

3

2

x

kx

x

26

24

Hence solve 6

3

2

x

x

x

19

26

24

0

Show clear algebraic working.

There are only pink and yellow sweets in a bag containing N sweets.

There are 25 more pink sweets than yellow sweets.

Stan takes at random 2 sweets from the bag.

The probability that Stan takes 2 pink sweets from the bag is 7

19

Find the probability that Stan takes 2 yellow sweets from the bag.

Show clear algebraic working.

C

Diagram NOT

B

accurately drawn

115°

53°

A

D

The diagram represents a small horizontal field ABCD

BC =11m

AB = 8 m

CD =15 m

115°

53°

ADC

ABC

Calculate, in m² to the nearest whole number, the area of the field.

.............................................................. m²



Show that

can be written

 



2

x

x

x

2

3

1

p

where p and q are integers to be found.

in the form

x

q