Edexcel GCSE Maths Paper 3: Calculator Higher June 2025 question paper 1MA1/3H

The table shows information about the distances that 60 people travel to work.

Distance (d miles)	Frequency
0 d 10	12
10 d 20	25
20 d 30	10
30 d 40	8
40 d 50	5

Draw a frequency polygon for the information in the table.

Ben is trying to make m the subject of p = + 5 Here is his working.

m = 3 p – 5 Ben’s answer is wrong.

What mistake has Ben made?

Factorise fully 2x³y + 4xy²

Mia pays £25 for 200 oranges. Mia puts the oranges into bags. She puts 5 oranges into each bag. Mia sells all the bags of oranges for £1 each bag. Work out Mia’s percentage profit.

In London, 2 kg of carrots cost £3.75 In New York, 5 lbs of carrots cost 4.90 US dollars. £1 = 1.20 US dollars 1 kg = 2.2 lbs In which city are carrots better value for money, London or New York? You must show how you get your answer.

Karim rounds a number, n, to 1 decimal place. The result is 23.8 Complete the error interval for n.

A plane takes 2 hours 24 minutes to fly from Luton to Alicante. The plane flies a distance of 1512 kilometres. Work out the average speed of the plane. Give your answer in kilometres per hour.

_........ kilometres per hour

ABC is a straight line.

Point A has coordinates (2, 7) Point B has coordinates (8, 12)

Find the coordinates of point C.

The diagram shows trapezium ABCD.

AB = 12 cm AD = 8 cm The trapezium has an area of 112 cm² Work out the perimeter of the trapezium. Give your answer correct to 3 significant figures.

Write 5.73 10⁶ as an ordinary number.

Write 0.035 in standard form.

Give your answer correct to 3 significant figures.

Find the value of n.

Write 64m¹² in the form am^b where a and b are integers.

The price of a holiday is increased by 10% After the increase, the price of the holiday is £440 Jim says, “10% of £440 is £44 so the price of the holiday before the increase was £396”

Is Jim correct? Explain your answer.

Tina sells bikes. In November, Tina sold 25% fewer bikes than she sold in October. In December, Tina sold 50% more bikes than she sold in November. In December, Tina sold 180 bikes.

How many bikes did Tina sell in October?

Here are some graphs.

Each equation in the table is the equation of one of the graphs.

Here is triangle ABC.

Calculate the area of triangle ABC. Give your answer correct to 3 significant figures.

There are only 7 blue pens and 3 red pens in a box. Raja takes at random one of the pens. He notes the colour of the pen and puts the pen back into the box. Raja does this two more times. Show that the probability that Raja takes at least two blue pens is

The diagram shows a solid shape made from a cylinder and a cone.

The cone has a base radius of 8 cm. The cylinder has a radius of 8 cm. The vertical height of the cone is three times the height of the cylinder. The volume of the solid shape is 640πcm³ Work out the vertical height of the cone. You must show all your working.

Magda carried out a survey to find out the drinks that people like. She asked 100 people if they like coffee (C) or tea (T) or hot chocolate (H). 32 people like all three drinks. 15 people like coffee and hot chocolate but not tea. 43 people like coffee and tea. 39 people like tea and hot chocolate. 67 people like coffee. 58 people like hot chocolate. 5 people like only tea.

Complete the Venn diagram for this information.

One of the people is chosen at random. Given that this person likes coffee,

find the probability that this person also likes hot chocolate.

There are some sheets of paper in a pile. The height of the pile is 10.4 cm, correct to the nearest mm. The thickness of each sheet of paper is 0.17 mm, correct to 2 significant figures. Calculate the upper bound for the number of sheets of paper in the pile. You must show all your working.

A, B, C and D are points on a circle with centre O.

Find the size of angle OBC. Write down any circle theorems that you use.

Solve algebraically the simultaneous equations

3 x + y = 2

C is a circle with centre (0, 0) The straight line with equation 3 x – 2 y = 52 is the tangent to C at the point P. Find the coordinates of P.

OACB is a quadrilateral. ACP is a straight line.

M is the midpoint of OA. N is the point on BC such that BN:NC = 5: 3 → → → OA = a OB = 3b AC = 2b CP → = k AC → where k is a scalar. Given that MNP is a straight line, find the value of k. You must show all your working.