4MB1/01 — June 2026 (Edexcel IGCSE Maths): Past Paper

Solve the inequality 6x < 20 − 2x

Factorise fully 8ab − 28a

Find the Lowest Common Multiple (LCM) of 60 and 84 Show all your working.

Write down the number from the list that is a natural number. −3 4 4.5 π

Write down an irrational number between 1 and 2

Show on the number line the inequality 2 x ≤ 3 −4 −3 −2 −1 0 1 2 3 4 x

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.

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 °

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: B, C, D, A · Figure values: 105°.

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. $

Write as a single fraction in its simplest form 4x 3 2x 3 2 Show clear algebraic working.

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 the bar for the class interval $4 \le t < 7$ is a square with sides of length 4.5 cm the bar for the class interval $2 \le t < 4$ is a rectangle of width $w$ cm and height $h$ cm

Find the value of $w$ and the value of $h$

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.

x 4 10 and y 3.2

Calculate xy Give your answer in standard form. y

Calculate x Give your answer in standard form.

x is directly proportional to $\sqrt{w}$ y is inversely proportional to w x = 2 when y = 16 Find a formula for y in terms of x

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.

Make x the subject of 2 2 8 where x and y are positive integers. x x 4 y Give your answer in the form a + y+b where a and b are integers. Show clear algebraic working.

Diagram NOT accurately drawn 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.

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

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: E, F, D, C, A, B · Figure values: 10, 13, 4.

The nth term of a sequence is given by 10 + 6n

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

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).

Explain why Ian is correct.

B A C The diagram shows triangle ABC

Construct the locus of all points inside the triangle that are 7 cm from C

Construct the locus of all points inside the triangle that are 3 cm from AC

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

Show, by shading, the region R

Without using a calculator and showing your working clearly, express 700 − 343 in the form a where a is an integer.

Without using a calculator and showing your working clearly, express 3 5 in the form c + d where c and d are integers.

A and B are two mathematically similar solids. The volume of A is 324 000 cm³ The volume of B is 12 000 cm³ The total surface area of A is $3^{x+6}$ cm² The total surface area of B is $9^x$ cm² Given that the height of B is $5^x$ cm find, in cm, the height of A Show all your working cm

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

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: O, B, D, C · Figure values: 8, 30°.

Simplify $w^3 \times w^{-5}$

Simplify 5x⁰

Simplify fully $(8a^3b^9)^{\frac{1}{3}}$

Simplify fully $\frac{(36c^4d^2)^{\frac{1}{2}}}{3c^{-5}d^3}$

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.

Calculate the probability that the two marbles are not the same colour. bag A bag B red red blue 5 purple red blue blue purple red yellow blue purple

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

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Solve the simultaneous equations $x^2 = 2 - y^2$ $3y - x = 4$ Show clear algebraic working.