WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate June 2024 question paper 3300U30-1

Evaluate each of the following.

9² × 10³

0·8 × 0·25

13·4 − 2·96

Give your answer as a fraction in its simplest form.

Which of the following is the nearest value to 488 grams?

Circle the correct answer.

0·5 kg 500 kg 50 kg 5 tonnes 0·05 kg

Circle the correct answer for the following. 15 miles is approximately equal to

1500 m 24 km 15 km 2·4 km 3000 m

The n th term of a sequence is given by 5 n − 1.

Calculate the sum of the first three terms.

You must show all your working.

In the diagram below, A B C is a right-angled triangle and C D E is an isosceles triangle.

A B C = 90°, B A C = 64° and C D = C E. A D and B E are straight lines intersecting at C.

Calculate the size of each of the angles x, y and z.

In a game, each competitor will have 20 attempts at throwing a ball into a bucket.

They will get 1 point for every ball that lands in the bucket.

Sioned wants to keep a record of the total points for each competitor. She decides to show the results in a table with the total points recorded in groups of equal width.

She starts to draw a table using five groups, as shown below.

Explain why these groups will not be suitable.

Sioned considers using the table shown below. She decides that it is suitable for recording all the total points in groups of equal width

Fill in the two missing numbers in the top row.

Finally, Sioned decides to use the groups shown in the table below. The results for the first 100 competitors are shown in the table.

One of these 100 competitors is chosen at random.

What is the probability that this competitor scored 6, 7 or 8 points?

Explain why the following statement may be incorrect.

The probability that this competitor scored 19 points is.

Express 96 as a percentage of 300.

Share £48 in the ratio 1: 7.

Factorise each of the following.

14a − 35

5x + x²

Solve the following equation.

Ahmed organises a game using two fair spinners, as shown below.

The first spinner shows the values 10, 20, 30 and 40. The second spinner shows the values 1, 2, 3, 4 and 5.

In the game, the two spinners are spun and the values shown are added to give a score. For example, the spinners above score 32.

Ahmed charges £1 for each attempt at the game. Any player who scores 43 or more wins £5.

Calculate Ahmed’s expected profit when this game is played 100 times.

Reflect the shape A in the line x = −1.

Enlarge the shape B by a scale factor of 2, using (1, 3) as the centre of enlargement. [3]

Write the reciprocal of 4 as a decimal.

You must show all your approximations in your working.

Evaluate

Give your answer in its simplest form.

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

The right-angled triangle A B C is a cross-section of a prism, as shown below. A B = 9 cm, B C = 10 cm and A B C = 90°. The length of the prism is 20 cm.

Calculate the volume of the prism. You must show all your working. [4 + 2 OCW]

Point P lies on:

• the bisector of angle A B C • the perpendicular bisector of line B C.

Using only a ruler and a pair of compasses, construct suitable lines and arcs to show the position of point P.

Construction arcs must be clearly shown.

The diagram below shows a shape made by joining two rectangles together.

The area of the whole shape is 89 cm².

Form and solve an equation to find the value of x.

Calculate the value of n.

You must show all your working.

A group of people hired two buses, Bus A and Bus B, to take them home from a party.

Bus A left the party at 11:00 p.m. Bus B left the party at midnight.

A person from the group is chosen at random. The probability that this person left the party on Bus A is . The probability that this person sat on the left-hand side of the bus is equal to the probability that this person sat on the right-hand side.

Complete the following tree diagram.

What is the probability that this person sat on the right-hand side of the bus that left at

midnight?

Express 0·0057 in standard form.

Give your answer in standard form.

A car travels a distance of x miles in 2 hours.

In the next hour, it travels a further distance of 36 miles.

Its average speed for the whole journey is 42 mph.

Calculate the value of x.

You must show all your working.

A kite and an isosceles triangle are shown below.

They are not drawn to the same scale.

Using the information shown on the kite, calculate the perimeter of the isosceles triangle. Do not use a trial and improvement method.

You must show all your working.