4MB1/01 — June 2024 (Edexcel IGCSE Maths): Past Paper

Write 7432 to 2 significant figures.

Write 0.0374 to 2 decimal places.

Given that k = 7 find the value of 5k

The diagram shows trapezium ABCD ABC BAD AD = 12cm CD = 8.7 cm BC = 6cm Calculate the area, in cm², of trapezium ABCD cm²

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: D, C, A, B · Figure values: 6.

A B 5 1 4 2

Calculate A + B 13 2 Given that nA 2B = 7 1

find the value of n n =

A straight line passes through the points with coordinates (2, –14) and (–3, 6) Find an equation of the line. Give your answer in the form y mx c

Solve the inequality 3w 4 ≤ 8w

On the number line, show the inequality 4 x ≤ 2 x −5 −4 −3 −2 −1 0 1 2 3 4 5

Simplify fully 3a 3b5

Simplify fully 4c

y −3 −2 −1 O 1 2 x −1 The diagram shows the line y 2 x Write down the three inequalities that define the region shaded in the diagram.

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

and B are two points on horizontal ground. The distance from A to B is 20 m BT is a vertical pole. The angle of depression of A from T is 10° Find the height, in metres to 3 significant figures, of the pole m

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: T, A, B, A · Figure values: 20.

The diagram shows the isosceles triangle ABC where AC = AB M is the midpoint of AC N is the midpoint of AB Prove that triangle MCB is congruent to triangle NBC

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: A, M, N, C, B.

A 5 1 Find A −1

Make x the subject of x 3 y

The diagram shows the circle ABC with centre O and the circle DEF with centre O The line ADB is a tangent to the circle DEF at the point D AB = 16cm Showing your working, calculate in cm², the shaded area of the diagram. Give your answer in terms of π cm²

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

Find the Highest Common Factor (HCF) of 90, 132 and 432 Show your working clearly. Lali thinks of two numbers. The Highest Common Factor (HCF) of the two numbers is 28 The Lowest Common Multiple (LCM) of the two numbers is a multiple of 35

Find the two smallest numbers that Lali could be thinking of …………… , ……………

Factorise fully 6a + 24ab

Factorise fully x 2 7 x

Without using a calculator and showing all your working, evaluate 7 4 8 5 Give your answer as a mixed number in its simplest form.

Jay has 8 red apples and 10 green apples. The total weight of all 18 apples is 2394 g Jay eats one of the green apples weighing 148 g The mean weight of the 9 remaining green apples is 154 g Calculate the mean weight of the 8 red apples g

A regular polygon has n sides. Each interior angle of the regular polygon is 2x° x 54 ° Each exterior angle of the regular polygon is Find the value of n n =

y varies inversely as the cube root of x y = 6 when x = 3.375 Find the value of y when x = 64 y =

Without using a calculator, show that 27 3 can be written in the form a b − a 45 3 where a and b are integers. Show your working clearly.

Car A travelled x km at an average speed of a km/h Car B travelled y km at an average speed of b km/h Given that x = 110 to 2 significant figures a = 90 to 1 significant figure y = 35 to 2 significant figures b = 60 to 1 significant figure calculate the upper bound, in hours to 3 decimal places, for (Time taken for car A to travel the x km) – (Time taken for car B to travel the y km) Show your working clearly hours

Express as a single fraction in its simplest form. 3 x 2 x 4 12 x 7 x 10 Show clear algebraic working.

The table below gives some information about the distance travelled to work, in km, each day by 60 people.

Write down the modal class.

Find the class that contains the median distance travelled to work.

Calculate an estimate, in km, for the mean distance travelled to work km One of the 60 people is selected at random.

Find the probability that the distance this person travelled to work is more than 10 km.

A and B are two mathematically similar containers. Container A has a volume of 30 000 mm³ and container B has a volume of 6480 mm³ Given that surface area of container A surface area of container B 8432 mm² calculate the surface area, in mm², of container B

…………… mm²

The diagram shows circle ABCDE with centre O ABF and ECF are straight lines. OE = 10cm BF = 15cm AB ( x 1) cm CF = x cm The area of the sector OCDE 40 cm² Find the value, to one decimal place, of x x =

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

for Question 26 A Q P O Diagram NOT accurately drawn M B OAB is a triangle. The point P lies on AB such that OPQ is a straight line. The point M lies on OB such that OM : MB = 2 : 3 OA 3a OB 5b BQ 6a 3b

AB AB →

OQ OQ →

Using a vector method and your answers from part (a) find MP Simplify your answer. MP

The equation of a curve is y a bx 9 x 2 where a and b are constants. The maximum point on this curve is (3, 4.4) Find the value of a a =