12 markseasy
Noah travels 18 km on his bicycle.
The journey time is 45 minutes.
Work out Noah’s average speed, in km/h, for the journey.
.............................................................. km/h
Maths B
June 2026 · Paper 1R (4MB1/01R) (Edexcel IGCSE Maths): Exam Questions
Exam code:4MB127 questions · 100 marks · ≈ 2 hours
22 markseasy
Without using a calculator and showing all your working, work out
12
2 1
3
4
Give your answer as a mixed number in its simplest form.
32 markseasy
ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 3, 5, 7, 9}
B = {3, 6, 9}
Show all this information on the Venn diagram.
E
A
B
42 markseasy
A straight line L passes through the points with coordinates 6 0
,
,
Find an equation of L
Give your answer in the form y
mx
c
52 markseasy
Find the value of a
b
2 when a = 3 and b 4
2
a
b
63 marksmedium
x cm
C
D
5 cm
A
B
10 cm
The diagram shows trapezium ABCD where AB is parallel to DC
AB = 10cm and DC
x
=
cm
The vertical height of the trapezium is 5 cm
Given that the area of the trapezium is 45 cm²
find the value of x
x = ..............................................................
73 marksmedium
2 marks
(a)
2
x
1
1
3
3
4
1
A
B
C
D
4
5
2
x
3
1
1
1
Find A
B
Given that A
C
D
1 mark
(b)
2
x
1
1
3
3
4
1
A
B
C
D
4
5
2
x
3
1
1
1
find the value of x
x = ..............................................................
83 markseasy
2 marks
(a)
Find the Highest Common Factor (HCF) of 24 and 54
Show all your working.
1 mark
(b)
Find the Lowest Common Multiple (LCM) of 24 and 54
93 marksmedium
2 marks
(a)
Solve the inequality 3
x
4
13
1 mark
(b)
On the number line below, represent the inequality y < 2
y
−5
5
−4
−3
−2
−1
0
1
2
3
4
103 marksmedium
Write down three inequalities that define the shaded region R in the diagram above.
113 marksmedium
Diagram NOT
A
B
accurately drawn
5 cm
80°
O
OAB is a sector of a circle, centre O and radius 5 cm
AOB 80°
Calculate the perimeter, in cm to 2 significant figures, of the sector OAB
.............................................................. cm
123 marksmedium
The incomplete table and the incomplete histogram give information about the length of
time, in minutes, that each of 100 students worked in a library.
Complete the table and the histogram.
133 marksmedium
The diagram shows a triangle.
Diagram NOT
accurately drawn
x cm
cm
The vertical height of the triangle is 6
2 7
The length of the base of the triangle is x cm
cm
2
The area of the triangle is 1
7
Without using a calculator find the value of x
where a, b and c are prime numbers.
Give your answer in the form a
b c
Show all your working.
x = ..............................................................
144 marksmedium
2 marks
(a)
The value of an investment increases by 20% to $1926
Find the value of the investment before the increase.
$..............................................................
Using an exchange rate of 1 euro = $1.07
2 marks
(b)
The value of an investment increases by 20% to $1926
change $1926 into euros.
.............................................................. euros
154 marksmedium
2 marks
(a)
Calculate 9
10
1 2
.
10
Give your answer in standard form.
100
101
2 marks
(b)
Calculate 9
10
1 2
.
10
Give your answer in standard form.
164 marksmedium
1 mark
(a)
A large solid cylinder has a diameter of 12 cm and a height of 12 cm
Show that the volume of the cylinder is 432 cm³
12 cm
12 cm
The diagram shows a large solid cylinder from which a small cylinder is removed.
The volume of the solid formed is 416 cm³
Given that the small cylinder is similar to the large cylinder,
3 marks
(b)
A large solid cylinder has a diameter of 12 cm and a height of 12 cm
calculate the diameter of the small cylinder.
.............................................................. cm
174 marksmedium
2 marks
(a)
Simplify fully 2
2
3
x y
2
11
p q
n where a, m and n are integers.
125
m
in the form ap q
2 marks
(b)
Write
15
3
p q
375
184 marksmedium
Diagram NOT
C
accurately drawn
(x + 1) cm
x cm
20°
B
A
The diagram shows triangle ABC
cm
1 cm
BC
x
=
AC
x
90
ABC
BAC 20°
Calculate the length, in cm to 2 significant figures, of BC
.............................................................. cm
194 marksmedium
Express as a single fraction in its simplest terms x
x
x
5
2
9
9
2
x
x
x
2
3
9
204 marksmedium
2 marks
(a)
f x
3
2
x
x
x
7
17
14
2 is a factor of f x
Use the factor theorem to show that x
where Q x is a quadratic expression in x
Given that f
x
x
x
2
Q
2 marks
(b)
f x
3
2
x
x
x
7
17
14
2 is a factor of f x
find Q x
Q x ..............................................................
214 marksmedium
Shape A is transformed to shape B under the transformation with matrix M where
Shape B is transformed to shape C under the transformation with matrix N where
Shape C is transformed to shape A under the transformation with matrix P
Find the matrix P
227 marksmedium
2 marks
(a)
A bag contains only red buttons, green buttons, blue buttons and yellow buttons.
The table shows information about the probability that when a button is taken at random
from the bag it is red or green or blue or yellow.
Find the value of x
x = ..............................................................
There are 340 buttons in the bag.
2 marks
(b)
A bag contains only red buttons, green buttons, blue buttons and yellow buttons.
The table shows information about the probability that when a button is taken at random
from the bag it is red or green or blue or yellow.
Find the number of red buttons in the bag.
Roya takes at random two buttons from the bag without replacement.
Given that the first button Roya takes is not green,
3 marks
(c)
A bag contains only red buttons, green buttons, blue buttons and yellow buttons.
The table shows information about the probability that when a button is taken at random
from the bag it is red or green or blue or yellow.
calculate the probability that both buttons Roya takes are red.
Show all your working.
235 markshard
The curve with equation y
5 has two stationary points.
3
x
x
15
Find the exact coordinates of each of these stationary points.
245 markshard
3 marks
(a)
Diagram NOT
accurately drawn
B
O
A
P
Q
C
12 cm
In the diagram, A, B and C are points on a circle, centre O
PCQ is the tangent to the circle at C
QB is the tangent to the circle at B
PAOB is a straight line.
PB = 18cm
PC = 12 cm
Calculate the radius, in cm, of the circle.
.............................................................. cm
2 marks
(b)
Diagram NOT
accurately drawn
B
O
A
P
Q
C
12 cm
In the diagram, A, B and C are points on a circle, centre O
PCQ is the tangent to the circle at C
QB is the tangent to the circle at B
PAOB is a straight line.
PB = 18cm
PC = 12 cm
Calculate the length, in cm, of QB
.............................................................. cm
255 markshard
The points O, A, B and C are such that
8
5
= 13
7
3
AB is parallel to OC
Given that the x coordinate of B is negative,
find the exact coordinates of the point B
(...............................,...............................)
266 markshard
Diagram NOT
E
accurately drawn
D
C
9 cm
48 cm
M
O
A
B
64 cm
The diagram shows a right pyramid ABCDE with horizontal rectangular base ABCD
O is the centre of the base.
Vertex E is vertically above O such that AE
BE
CE
DE
=
=
=
AB = 64cm
BC = 48cm
EO = 9cm
M is the midpoint of AD
Calculate the size, to the nearest degree, of angle CEM
.............................................................. °
276 markshard
1 mark
(a)
A regular polygon P has x
2 sides.
Write down, in terms of x, an expression for the size, in degrees, of each exterior
angle of P
.............................................................. °
A regular polygon Q has x sides.
The size of each exterior angle of polygon Q is 9° greater than the size of each exterior
angle of polygon P
3 marks
(b)
A regular polygon P has x
2 sides.
Show that x
2
x
2
80
0
2 marks
(c)
A regular polygon P has x
2 sides.
Calculate the value of x
Show clear algebraic working.