4MB1/02 — June 2026 (Edexcel IGCSE Maths): Past Paper

A shop sells 1 kg of apples for $a and 1 kg of potatoes for $p Meg buys 8 kg of apples and 5 kg of potatoes from the shop. The total cost is $T

Write down a formula for T in terms of a and p Given that 4a 5 p 2a 15 p

find the total cost of 8 kg of apples and 5 kg of potatoes by first solving these simultaneous equations. Show clear algebraic working.

E is the universal set and A, B and C are three sets such that E 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 A 6, 7, 8, 9, 10, 11, 12 B odd numbers C factors of 30

List the members of the set A ∩ B

Find n A B The set D is such that D ⊂ B and D ⊂ C

Find the maximum value of n D

A B C 1 4 2 6 2 x

Find 5A − 3B The determinant of BC is 588 Given that x > 0

find the value of x a b Determinant of matrix ad bc c d

Cone L 30 cm 50 cm Cone J K x cm Figure 1 A right circular cone J has height 50 cm and base radius x cm The shaded solid K is formed by removing cone L with height 30 cm from cone J as shown in Figure 1 Diagram NOT accurately drawn E F 20 cm H G D C K 2x cm A 2x cm B Figure 2 Figure 2 shows solid K inside a hollow cuboid ABCDEFGH AB = BC = 2 x cm and FC = 20 cm The base of the cuboid rests on horizontal ground. The base of K rests on the base of the cuboid. Given that exactly 2000 cm³ of water is needed to fill the space in the cuboid not occupied by K calculate, to one decimal place, the value of x Show all your working. 1 22 Volume of a cone = 3 Àr πr h

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Use the text description to work through it.

E Diagram NOT D F accurately drawn C 5 cm G H Figure 3 Figure 3 shows part of a regular 15-sided polygon. CD, DE, EF, FG and GH are five sides of the polygon.

Show that EFG 156° Given that DG = 5cm

find the perimeter, in cm to one decimal place, of the 15-sided polygon. Show all your working. Sum of interior angles of polygon 2n 4 right angles Sine rule a b c sin A sin B sin C

A particle P is moving along a straight line. At time t seconds, the displacement, x metres, of P from a fixed point O on the line is given by x t 3 10t 2 0 ≤ t ≤ 10 At time t seconds the velocity of P is v m/s Find the range of values for the acceleration of P, in m/s 2 , when v > 9.25 Show all your working. The solutions of ax 2 bx c 0 where a 0 are given by: b b 2 4ac x 2a

Triangle A and triangle B are drawn on the grid opposite. Triangle A is transformed to triangle C under a reflection in the y-axis.

On the grid, draw and label triangle C Triangle B is transformed to triangle D under an enlargement with scale factor −0.5 and centre (0, 4)

On the grid, draw and label triangle D

Describe fully the single transformation that maps triangle A onto triangle B Show all your working.

The table below shows information about the time, in minutes, it takes each of 50 teachers to travel to work.

Calculate an estimate, in minutes, for the mean time it takes for these 50 teachers to travel to work. Below is some information about how these 50 teachers travel to work. n teachers walk and travel by bus 21 teachers walk 34 teachers travel by bus 6 teachers do not walk and do not travel by bus Rosa selects at random 2 teachers from those who walk.

Find the probability that exactly one of these 2 teachers also travels by bus.

Each year Umera goes on a skiing holiday in France. In 2023, the cost of her flights was $250 In 2024, the cost of her flights is $315

Calculate the percentage increase in the cost of her flights from 2023 to 2024 The plane takes 2 hours 54 minutes to fly to France at an average speed of 640 km/h

Calculate the total distance, in kilometres, the plane travels to France. The cost to hire skis is 680 euros. The cost to buy a lift pass is 200 euros. The exchange rate is $1 = x euros Umera pays $612 to hire the skis.

Using the same exchange rate, calculate in $, the cost to buy a lift pass. Umera stays in a hotel while on holiday. She makes 3 separate payments to cover the total cost of staying in the hotel. The 1st payment is 560 euros. The 2nd payment is of the total cost. The 3rd payment is 28% of the total cost.

Calculate, in euros, 28% of the total cost.

Part of the curve C with equation y x 2 x 12 is drawn on the grid opposite.

By drawing a suitable straight line on the grid, find estimates, to one decimal place, of the solutions to the equation x 2 x 3 0.5 x 1 3 9 The equation of curve D is y x x 2 2 1 3 9

Complete the table of values for x x 6 y 2 2 Give your values of y to one decimal place where appropriate. x −3.5 −3 −1.7 −1 0 1 1.7 3 3.5 y 0.3 10 6 6 11.7

On the grid, plot the points from your completed table and join them to form a smooth curve. Curve C and curve D intersect twice in the range −3.5 ≤ x ≤ 3.5

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Use the text description to work through it.

Write down the coordinates of these 2 points of intersection.

Work out the equation of the line that passes through these 2 points of intersection. Give your answer in the form y mx c Show all your working.

The three functions f, g and h are defined as 5x + 2 f : x ↦ 2x + 3 g : x ↦ x 2 − 2 x > 0 h : x ↦ 10 x 3 29 x 2 5 x

State the value of x that must be excluded from any domain of f

Write down the range of g

Find g(−3)

Find hf(4)

Use the factor theorem to show that 5 x 2 is a factor of h(x)

Hence solve the equation h(x) = 0 Show clear algebraic working. The solutions of ax 2 bx c 0 where a 0 are given by: b b 2 4ac x 2a

A Diagram NOT accurately drawn M O N P B Figure 4 Figure 4 shows triangle OAB Given that OA 3a and OB 3b

find an expression for in terms of a and b The point M lies on OA such that OM : MA = 2 : 1 The point N lies on OB such that ON OB The point P is such that ONPB is a straight line and AP is parallel to MN The point Q is such that OQ 12a 9b

Show that A, P and Q are collinear. The point R is such that NMR and BAR are straight lines.

Find an expression for in terms of a and b Give your answer in its simplest form. Show all your working.