WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate June 2025 question paper 3300U30-1

Calculate 7² × 2³.

Calculate 0∙04 × 0∙9.

Calculate 11% of 8400.

Write down the next two numbers in the following sequence.

Shade the least number of squares so that the grid below has rotational symmetry of

order 4.

Estimate the value of 89 × 6349.

You must show all your working.

Write 0·62, 68% and in ascending order.

You must show all your working.

In the diagram below:

• EG is a straight line • FGH is an isosceles triangle.

Calculate the value of x.

There are 200 pupils in a school hall.

The pupils are from Year 7 to Year 11.

One of the pupils is chosen at random.

Complete the table below.

How many of the pupils are in Year 10?

Solve 12 x −= 3 7 x + 15.

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing. The diagram below shows a trapezium, ABCD.

The area of the right-angled triangle, AED, is 24 cm². The length of AB is 3 cm. The length of DE is 4 cm. The length of EC is 10 cm. Calculate the area of the trapezium, ABCD.

You must show all your working.

Geraint cycles 18 miles in 1 hour 30 minutes.

Calculate Geraint’s average speed.

Give your answer in miles per hour.

Find the size of angle a.

Find the size of angle b. Circle your answer.

55° 115° 120° 125° 135°

A group of 100 pupils attended their school sports day.

13 pupils did not compete in either Track or Field events. The expressions in the following Venn diagram represent the number of pupils in each category. The universal set, ε, contains all the pupils.

Find the value of x.

One pupil is chosen at random from the group.

What is the probability that this pupil competed only in Track events?

The table below shows some of the values of y = 2x² − 6 for values of x from –3 to 2.

Complete the table above.

On the graph paper opposite, draw the graph of y = 2x² − 6 for values of x

from –3 to 2.

A mass is shared in the ratio 3: 5.

The larger share is 44 lb (pounds).

Calculate the total mass.

Give your answer in kilograms (kg).

You must show all your working.

The mean of five whole numbers is 20.

The mean of three of these numbers is 22. The other two numbers have a difference of 6.

Find the other two numbers.

The diagram below shows the graph of a straight line for values of x from –2 to 2.

Write down the gradient of the straight line in the diagram.

Write down the equation of the straight line in the form y = mx + c, where m and c are

whole numbers.

Write down the equation of a different straight line that is parallel to the straight line in

the diagram.

Grey tiles are used to make patterns as follows.

Pattern 1 Pattern 2 Pattern 3 Pattern 4

How many grey tiles would you need to make Pattern n?

Use an algebraic method, not trial and improvement, to find the total cost of kg of cherries and 6 kg of grapes.

You must show all your working.

The total cost of kg of cherries and 6 kg of grapes is £_{…………........ ……………}

The length of each side of a square is 15 cm, correct to the nearest 1 cm.

Calculate the greatest possible perimeter of this square.

In the diagram below, ABCD and ABCE are cyclic quadrilaterals.

Find the size of angle x.

Calculate the size of angle y.

State the circle theorem that you have used to find your answer.

Circle Theorem:_........