Edexcel GCSE Maths Paper 1: Non-calculator Higher June 2025 question paper 1MA1/1H

Find the highest common factor (HCF) of 54 and 120

There are only red counters, white counters, blue counters and green counters in a bag. Chris is going to take at random a counter from the bag. The table shows the probability that he will take a red counter and the probability that he will take a white counter.

There are twice as many blue counters as there are green counters in the bag.

Work out the probability that Chris will take a blue counter.

There are 45 red counters in the bag.

Work out the total number of counters in the bag.

Complete the table of values for y = x² + x – 4

On the grid, draw the graph of y = x² + x – 4 for values of x from –3 to 2

Write down the coordinates of the turning point of the graph of y = x² + x – 4

There are 280 chocolates in a box. There are only dark chocolates, milk chocolates and white chocolates. of the 280 chocolates are dark chocolates. The number of milk chocolates: the number of white chocolates = 1: 3 The number of white chocolates: the number of dark chocolates = n: 1

Work out the value of n. You must show all your working.

10 milk chocolates from the box are eaten.

Does this affect your answer to part (a)? Give a reason for your answer.

Work out 5.7 × 10² + 9.8 × 10³ Give your answer in standard form.

AB, BC, CD and DE are four sides of a regular polygon with n sides.

BCX is an equilateral triangle. CDYX is a square. Work out the value of n. You must show all your working.

Solve 9 < 2y + 4 < 12

ABC is a right-angled triangle.

AEC and ADB are straight lines. ED is parallel to CB.

Prove that triangle ABC is similar to triangle ADE.

ED = 20 cm CB = 30 cm AC = 18 cm

Work out the length of EC.

Describe fully the single transformation that maps shape A onto shape B.

Enlarge the triangle by scale factor centre (–1, –3)

Prove that the difference in the squares of two consecutive even numbers is always a multiple of 4

T is inversely proportional to w. w is directly proportional to the cube root of d. When w = 6, T = 20 When w = 1, d = 8 Find the value of d when T = 48

The graph shows the velocity, v m/s, of a particle t seconds after it starts to move.

Work out an estimate of the gradient of the graph at t = 3 You must show how you get your answer.

What does this gradient represent?

Work out an estimate for the distance the particle travelled in the first 6 seconds. Use 3 strips of equal width.

∙ ∙ ∙ 13 x = 0.2 y = 0.681 Work out the value of xy. Give your answer as a fraction in its simplest form.

There are nine balls labelled 1 to 9 in a box. Lee will take at random two balls from the box. Lee says, “The probability that the sum of the numbers on the two balls will be an even number is greater than the probability that the product of the numbers will be an even number.” Is Lee correct? You must show how you get your answer.

The histogram gives information about the weights, in grams, of some biscuits.

One of these biscuits is taken at random. Work out an estimate for the probability that the biscuit will have a weight between 20 grams and 40 grams.

Give your answer in its simplest form.

Work out the value of a and the value of b.

17g(x) = 1 – 3xh(x) = 2x² – 1 Show that 3gh(x) + hg(x) = 0 has just one solution for x.