12 markseasy
Solve the inequality 6
x
x
20
2
Maths B
June 2026 · Paper 1 (4MB1/01) (Edexcel IGCSE Maths): Exam Questions
Exam code:4MB126 questions · 100 marks · ≈ 2 hours
22 markseasy
Factorise fully 8
ab
a
−
28
32 markseasy
Find the Lowest Common Multiple (LCM) of 60 and 84
Show all your working.
42 markseasy
1 mark
(a)
Write down the number from the list that is a natural number.
1
−3
4
4.5
6
1 mark
(b)
Write down an irrational number between 1 and 2
52 markseasy
Show on the number line the inequality
2
3
x
−4
−3
−2
−1
0
1
2
3
4
62 markseasy
Each time Ishan plays a game, the probability that he wins is 0.64
Ishan plays the game 50 times.
Calculate the expected number of games Ishan does not win.
72 marksmedium
B
Diagram NOT
C
accurately drawn
105°
D
A
In the diagram A, B, C and D are points on a circle.
BCD
105
Find the size, in degrees, of ∠BAD
Give a reason for your answer.
............................................................. °
83 marksmedium
The price of a yacht is reduced by 16% in a sale.
Leda pays $15 700 of the sale price when she orders the yacht.
She pays the remainder of the sale price in 10 equal payments of $2000
Calculate the price of the yacht before the sale.
$.............................................................
93 marksmedium
Write as a single fraction in its simplest form
x
x
4
3
2
5
3
2
Show clear algebraic working.
103 marksmedium
Zahra records the time, t hours, some people spend watching television each day.
Her results are shown in the table below.
She draws a histogram for the information in the table.
In the histogram
≤t <
the bar for the class interval 4
is a square with sides of length 4.5 cm
7
≤t <
is a rectangle of width w cm and height h cm
the bar for the class interval 2
4
Find the value of w and the value of h
w = .............................................................
h = .............................................................
113 marksmedium
Rima sells green pens, red pens and blue pens only.
On Saturday, a total of 200 pens are sold by Rima.
The ratio of the number of green pens sold to the number of red pens sold is 3 5
:
The ratio of the number of green pens sold to the number of blue pens sold is 2 3
:
Calculate the number of red pens sold by Rima on Saturday.
124 marksmedium
2 marks
(a)
x
3 2
.
4
Calculate xy
Give your answer in standard form.
2 marks
(b)
x
3 2
.
4
Calculate y
x
Give your answer in standard form.
134 marksmedium
x is directly proportional to
w
y is inversely proportional to w
x = 2 when y = 16
Find a formula for y in terms of x
144 markshard
Quadrilateral A is transformed to quadrilateral B under a reflection in the y-axis.
Quadrilateral B is transformed to quadrilateral C under an enlargement with
centre (0, 0) and scale factor 4
Quadrilateral C is the image of quadrilateral A under the matrix N
Find the matrix N
Show all your working.
154 marksmedium
Make x the subject of
2
2
8
where x and y are positive integers.
x
x
y
4
Give your answer in the form a
where a and b are integers.
y
b
Show clear algebraic working.
164 markshard
x cm
A cm²
C °
The diagram shows a rhombus of area A cm² in which
x = 8 4. to 1 decimal place
A = 50 to 1 significant figure
Given that the angle marked C° is an acute angle,
find the upper bound, to 3 significant figures, of C
Show all your working.
174 marksmedium
Diagram NOT
E
accurately drawn
F
D
C
10 cm
13 cm
A
B
4 cm
The diagram shows a right triangular prism ABCDEF
AB = 4 cm
BC = 13 cm
FB = 10 cm
FAB
90°
Calculate the volume, in cm³ to the nearest integer, of the triangular prism.
.............................................................. cm³
185 marksmedium
2 marks
(a)
The nth term of a sequence is given by 10
- n
6
Find the sum of the 3rd term and the 7th term of this sequence.
For a different sequence the first five terms are
7 11 15 19 23
2 marks
(b)
The nth term of a sequence is given by 10
- n
6
Write down a formula for the nth term of this sequence.
Ian says there are no numbers that are in both the sequence in part (a) and the sequence
in part (b).
1 mark
(c)
The nth term of a sequence is given by 10
- n
6
Explain why Ian is correct.
195 marksmedium
1 mark
(a)
B
A
C
The diagram shows triangle ABC
Construct the locus of all points inside the triangle that are 7 cm from C
1 mark
(b)
B
A
C
The diagram shows triangle ABC
Construct the locus of all points inside the triangle that are 3 cm from AC
2 marks
(c)
B
A
C
The diagram shows triangle ABC
Using ruler and compasses only and showing all your construction lines,
construct the locus of all points inside the triangle that are equidistant
from AB and AC
The region R consists of all the points inside the triangle that are
less than 7 cm from C, nearer to AB than to AC and more than 3 cm from AC
1 mark
(d)
B
A
C
The diagram shows triangle ABC
Show, by shading, the region R
205 marksmedium
2 marks
(a)
Without using a calculator and showing your working clearly, express
−
700
343
a where a is an integer.
in the form
3 marks
(b)
Without using a calculator and showing your working clearly, express
3
5
3
5
in the form c
where c and d are integers.
d
215 marksmedium
A and B are two mathematically similar solids.
The volume of A is 324 000
cm
3
3
The volume of B is 12 000
cm
x+ cm
The total surface area of A is 3
6
2
x cm
2
The total surface area of B is 9
Given that the height of B is 5x cm
find, in cm, the height of A
Show all your working.
........................................................... cm
225 marksmedium
O
B
8 cm
30°
D
C
In the diagram B and C are points on a circle centre O
The point D is such that DBO is a straight line.
DC is the tangent to the circle at C
CO = 8 cm and
ODC
30°
The region inside OCD but outside of the sector OBC is shaded.
Calculate the area, in cm² to 3 significant figures, of this shaded region.
Show all your working.
............................................................ cm²
237 markseasy
1 mark
(a)
Simplify w
3
5
w
0
1 mark
(b)
Simplify 5
x
1
2 marks
(c)
Simplify fully 8
3
9
a b
3
1
4
2
c d
36
2
3 marks
(d)
Simplify fully
5
3
c d
3
246 marksmedium
3 marks
(a)
Zaid has two bags of marbles, A and B
There are 10 marbles in bag A and 15 marbles in bag B
In bag A, there are 5 red marbles, 3 blue marbles and 2 yellow marbles.
In bag B, there are 6 red marbles, 2 blue marbles and 7 purple marbles.
Zaid takes at random one marble from bag A and one marble from bag B
Complete the probability tree diagram on the opposite page.
3 marks
(b)
Zaid has two bags of marbles, A and B
There are 10 marbles in bag A and 15 marbles in bag B
In bag A, there are 5 red marbles, 3 blue marbles and 2 yellow marbles.
In bag B, there are 6 red marbles, 2 blue marbles and 7 purple marbles.
Zaid takes at random one marble from bag A and one marble from bag B
Calculate the probability that the two marbles are not the same colour.
bag A
bag B
red
blue
red
5
purple
10
red
blue
blue
purple
red
yellow
blue
purple
256 marksmedium
A, X and Y are three points on horizontal ground.
AB is a vertical mast with height 45 m
X is 2000 m due west of A
The bearing of Y from A is 320°
The angle of elevation of B from Y is 10°
Calculate, to the nearest degree, the bearing of X from Y
Show all your working.
...................................................... °
266 marksmedium
Solve the simultaneous equations
2
2
2
x
y
y
x
3
4
Show clear algebraic working.