Edexcel GCSE Maths Paper 2: Calculator Higher June 2025 question paper 1MA1/2H

Express 250 as a product of its prime factors.

Find the lowest common multiple (LCM) of 30 and 25

Sid, Tam and Musa share £6900 in the ratio 2: 3: 5 Work out how much money each person receives.

Here is a plan of part of Macsen’s garden. There is a circle inside a triangle. The circle has a diameter of 7 m.

Macsen will cover the shaded area with gravel. Gravel is sold in bags. Each bag of gravel covers an area of 12.5 m²

Work out the number of bags of gravel Macsen will need.

Macsen finds that each bag of gravel only covers an area of 11 m²

How does this affect your answer to part (a)?

The point C is shown on a centimetre grid.

A point P is at least 2 cm from the point C. Nadia is asked to shade the region where point P could be. Her answer is shown on the grid. Explain the mistake Nadia has made.

This year the total weight of potatoes grown on a farm is less than last year. This year the total weight of potatoes grown is 8000 tonnes. Work out the total weight of potatoes grown last year.

Here are two lists of numbers.

mean of list A: mean of list B = 3: 5 Work out the value of x.

ABC is a right-angled triangle.

Calculate the value of x. Give your answer correct to 1 decimal place.

Metal rods are made from steel with density 8 g/cm³ Each metal rod has a volume of 1500 cm³ The maximum mass of metal rods that can be put on a trolley is 300 kg. Work out the greatest number of metal rods that can be put on the trolley.

9 3x^–1(4x – x³) = a + bxⁿ for all the values of x that are not zero. Find the value of a, the value of b and the value of n.

Freya and Ria each do an exam. The probability that Freya will pass the exam is 0.8 The probability that Ria will pass the exam is 0.85

Complete the probability tree diagram.

Work out the probability that only one of Freya or Ria will pass the exam.

12The table gives some information about the ages, in years, of 32 actors.

Draw a box plot to represent this information.

Work out an estimate for the number of these actors with an age between 31 years and 42 years.

Mary says, “At least one of the actors is 35 years old because the median is 35”

Is Mary correct? Give a reason for your answer.

Show that (2 x + 3)(x – 1)(x + 2) can be written in the form ax³ + bx² + cx + d where a, b, c and d are integers.

There are 15 dogs in a dog show. One dog is awarded first prize. A different dog is awarded second prize. There are 12 cats in a cat show. One cat is awarded first prize. A different cat is awarded second prize. Work out how many different ways these four prizes can be awarded.

On the grid, show by shading, the region that satisfies all of these inequalities.

Label the region R.

Ron says, “I can remove one of the four inequalities from the grid so that the region R will not change.” Ron is correct.

Which inequality can be removed so that the region R will not change?

Two jars are mathematically similar.

Work out the height, hcm, of the smaller jar. Give your answer correct to 1 decimal place.

The surface area of the smaller jar is Acm² The surface area of the larger jar is pAcm²

Find the exact value of p.

17Here is a sketch of part of the graph of y = k^x where k is a positive constant.

The graph passes through the point with coordinates (–1, 1.5) Find the value of k.

18At the start of year n, the population of deer in a park is D_n At the start of the following year, the population of the deer is D_{n+ 1}

At the start of 2019, the population of the deer was 2000 At the start of 2020, the population of the deer was 2400 Show that, at the start of 2022, the population of the deer was greater than 3000

ABCDEFGH is a cuboid.

Angle GEF = 52° Angle BHG = 27° EF = 15 cm Work out the size of angle GEB. Give your answer to the nearest degree.

In the diagram A is the point (0, 8) B is the point (16, 0) The point D divides the line segment AB in the ratio 1: 3 The line L passes thr h D.

L passes through the point with coordinates (–2,f) Show that f –4

21Solve (3x – 1)(5x + 2) < 0

22The equation of circle A is x² + y² = 25 Circle A is translated by the vector 02 to give circle B. Sketch circle B. Show the coordinates of the centre of circle B and the points where circle B meets the y-axis.

ABCD is a quadrilateral.

Find the size of angle ABC. Give your answer correct to the nearest degree.