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

Write 75 millimetres as a fraction of 3 metres. Give your answer in its simplest form.

Write 5.142 557 to 3 decimal places.

Write 6281 to 3 significant figures.

Simplify 2t 2v

The nth term of a sequence is given by 7 n 2 + 100

Find the 5th term of the sequence. Barney says that 37 is a term in the sequence. Barney is wrong.

Explain why Barney is wrong.

Evaluate 3 10 2 Give your answer in standard form.

Simplify (36a c ) 8 2 2

Without using a calculator and showing all your working, calculate 1 1 2 ÷2 4 7 Give your answer as a mixed number in its simplest form.

Given that y 12 x 3 x² dy find dx dy = ……………dx

Given that y 12 x 3 x² dy find dx dy = dx

X c f a = 40 to the nearest whole number c = 2.2 to 1 decimal place f = 0.6 to 1 decimal place Calculate the upper bound for the value of X Show your working clearly.

y x + 2y = 8 R −3 −2 −1 O 1 2 3 4 5 6 7 8 9 10 x −1 −2 −3 The region R, shown shaded in the diagram, is bounded by three straight lines. Find three inequalities that define R

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

The diagram shows the point A and the point B A B

Construct the locus of all points that are 4 cm from A

Using ruler and compasses, and showing all your construction lines, construct the perpendicular bisector of AB The region R consists of all the points that are nearer to B than to A and that are less than 4 cm from A

Show, by shading, the region R Label the region R

The diagram shows isosceles triangle ABC where AB = AC ∠BAC = 90° BC = 12.6 cm Calculate the perimeter, in cm to one decimal place, of the triangle cm

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: A, B, C · Figure values: 12.6.

The diagram shows shape PTRQ where PRQ is a triangle and PTR is a semicircle with diameter PR ∠PQR = 90° ∠PRQ = 40° PQ = 8 cm Calculate the total area, in cm² to the nearest whole number, of shape PTRQ cm²

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: T, P, Q, R · Figure values: 40°.

Solve the simultaneous equations 2 x 6 y 3 x 5 y Show clear algebraic working. x = y =

Make y the subject of c y

A, D, B and C are points on a circle centre O COD is a diameter of the circle. AB is a chord of the circle. COD and AB intersect at the point P AP = 8 cm PB = 4.5 cm PD = 3 cm Calculate the circumference, in cm to 3 significant figures, of the circle cm

Figure not shown in this reconstruction — the printed paper includes a diagram (not drawn accurately). Labels in the original figure: A, C, O, P, D, B · Figure values: 8, 3, 4.5.

Find the position vector of the point B

Calculate ½ ½, giving your answer as a surd. ½ ½=

The table gives information about the heights, in cm, of 80 plants in a garden.

Find the class interval that contains the median height of these plants.

Calculate an estimate for the mean height, in cm, of these plants cm

The students in class 7T and the students in class 8Y were asked to name their favourite ice cream flavour. The table shows information about the favourite ice cream flavour for class 7T The pie chart shows information about the favourite ice cream flavour for class 8Y

class 7T

There are 32 students in class 7T There are 45 students in class 8Y More students in class 7T than in class 8Y said vanilla was their favourite ice cream flavour. Find how many more.

Solve 5 4y Show clear algebraic working. y = A 8 x 2w

Work out the value of x when A 35 and w 4.5 x =

O Diagram NOT accurately drawn The diagram shows a solid shape made by joining a large hemisphere and a small hemisphere. The centre of the base of the large hemisphere and the centre of the base of the small hemisphere meet at the point O radius of large hemisphere : radius of small hemisphere = 3 : 1 The total surface area of the solid shape is 567π cm² Calculate the total volume, in cm³ to 3 significant figures, of the solid shape cm³

Express 50 + 242 in the form a a where a is an integer.

Express in the form y x + y where x and y are integers. 5 −1 Show each stage of your working.

x 4 is a factor of 6 x 3 kx 2 26 x 24 , where k is a constant.

Use the factor theorem to show that k = 19

Hence solve 6 x 3 19 x 2 26 x Show clear algebraic working.

There are only pink and yellow sweets in a bag containing N sweets. There are 25 more pink sweets than yellow sweets. Stan takes at random 2 sweets from the bag. The probability that Stan takes 2 pink sweets from the bag is Find the probability that Stan takes 2 yellow sweets from the bag. Show clear algebraic working.

for Question 25 C B Diagram NOT 115° accurately drawn 53° A D The diagram represents a small horizontal field ABCD AB = 8 m BC = 11 m CD = 15 m ∠ABC = 115° ∠ADC = 53° Calculate, in m² to the nearest whole number, the area of the field m²

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

Show that can be written x 2 x 3 x² 1 p in the form where p and q are integers to be found. x+q