WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate June 2025 question paper 3300U40-1

Using only the numbers listed below,

120 121 122 123 124 125 126

write down

a square number,

a cube number,

a multiple of 14.

Use the formula 18 x + 5 y = t to find the value of y when x = 2∙5 and t = 60.

Find 13∙5% of 63.

Which one of the following quadrilaterals has

• rotational symmetry of order 2, and • 2 lines of symmetry?

Circle the correct shape.

Square Trapezium Rhombus Kite Parallelogram

1 day and 14 hours 2 days and 3 hours 73 hours

Calculate the mean of the three lengths of times.

Give your answer in days and hours.

The mean =_{……………........ ………} days and_{……………........ ………} hours

Translate the shape below 3 squares to the right and 5 squares down.

Explain why tiles that are identical regular pentagons will not tessellate.

You must show working to support your explanation.

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Two groups of people, Group A and Group B, took part in Adam’s survey. Adam asked each person this question: “From the colours Red, Blue and Green, which is your favourite colour?” There are 92 people in Group A. The results for Group A are shown in the pie chart below.

The results for Group B are shown in the pictogram below.

Adam chose one person at random from all the people in both groups.

What is the probability that this person chose Green?

In the diagram above, the expression in each block in the top two rows is found by using the following rule:

The expression in any block is the sum of the expressions in the two blocks below it.

Some expressions are already shown. Use the rule to fill in the empty blocks in the diagram.

You must simplify your answers.

The diagram below shows a sketch of a circle that fits exactly inside a square.

The radius of the circle is 5 cm.

Calculate the total area of the shaded regions. Give your answer as a decimal.

You must show all your working.

Find the straight-line distance from town A to town B.

Give your answer in kilometres.

Find the bearing of town A from town B.

On the map, shade the region containing all the points that are: • closer to town A than to town B, and

• less than 27 km from town B.

A charity is organising a game using this fair spinner.

In the game, each player spins the spinner once.

100 players each pay £x to play the game once. Each player who gets an even number on the spinner wins £3.

The charity expects to make a profit of £130.

Find the value of x.

You must show all your working.

Make a the subject of the formula 7 a + 5 = b.

A solution of the equation

lies between 2 and 3.

Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

Calculate the length of PQ.

Calculate the size of angle x.

Calculate the value of the smaller share.

You must show all your working.

A number has been decreased by 20% to give an answer of 84.

What was the original number?

A bag contains 5 red balls and 4 blue balls.

Megan chooses a ball from the bag at random. She replaces the ball in the bag. Then she chooses a second ball from the bag at random.

Complete the tree diagram below.

Find the probability that Megan chooses two balls of the same colour.

The total surface area of all 6 faces of the cuboid below is 240 cm².

Find the volume of the cuboid.

You must show all your working.