WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate June 2024 question paper 3300U40-1

Solve each of the following equations.

Evaluate 55% of 42·8.

Which one of the following is not equal to a recurring decimal?

Circle the correct answer.

A B C is a large triangle, where A C = 16 m and B C = 13 m.

What is the actual length of A B in the large triangle?

How many minutes are there in 1 day and 5 hours?

1 day and 5 hours =_{……........ …………………} minutes

The diagram below shows part of a measuring tape used in a long-jump competition.

The arrow indicates the distance jumped by the competitor who came second. The winning jump was 676 cm long.

What was the difference between the lengths of these jumps?

Calculate the volume of the cuboid.

You must give the units of your answer.

A children’s play area contains a large number of coloured balls.

Some are yellow, some are red, some are blue and the others are pink.

A ball is chosen at random from the play area.

Complete the table below to find the probability of choosing a pink ball.

There are 575 blue balls in the play area.

What is the total number of balls in the play area?

Use the formula v = u + at to find the value of t when v = 51·3, u = 2·3 and a = 9·8.

Calculate the circumference of a circle with a radius of 38 cm.

Give your answer in cm, correct to 2 significant figures.

The employees of a company belong to one of three departments: Management (M), Sales (S) or Distribution (D).

The diagram below is a sketch of a pie chart. The diagram shows the proportion of employees working in each of these departments.

An employee is chosen at random. Calculate the probability that this employee works in the Distribution department.

Give your answer as a decimal.

What is the greatest integer value of n if 2n < 17?

What is the least integer value of n if 2ⁿ > 125?

At lunchtime on Wednesday, a café had 19 customers.

• 7 of these customers bought a meal and a drink. • 2 of these customers did not buy a meal or a drink. • The total number of customers who bought a meal was twice the total number of customers who bought a drink.

One of these customers is chosen at random.

What is the probability that this customer bought a meal?

The table below shows some of the values of y = 2x² + 5x − 3 for values of x from −4 to 2.

Complete the table above.

On the graph paper opposite, draw the graph of y = 2x² + 5x − 3 for values of x from

− 4 to 2.

The diagram below shows a water container.

It is formed from an open rectangular tank with a solid cylinder attached to its base inside the tank.

The base radius of the cylinder is 10 cm. The height of the cylinder is 30 cm.

How many litres of water can the container hold?

You must show all your working.

The container can hold_{…........ ……........ ……} litres.

The equation of a straight line is y = −3 x + 7.

What is the gradient of the line?

Circle the correct answer.

What are the coordinates of the point where the line intersects the y-axis?

Circle the correct answer.

(− 3, 7)
(0, − 3)
(0, 3)
(0, − 7)
(0, 7)

In the diagram below, A B D and B C D are both right-angled triangles.

A B = 7·3 cm, A D = 13·8 cm and C D = 5·5 cm.

Calculate the value of y.

Factorise x² + 3x − 40, and hence solve x² + 3x − 40 = 0.

a and b are two numbers, where b > a.

The mean of the two numbers is equal to the range of the two numbers.

Show that 3a = b.

The triangles shown below are similar.

Calculate the value of x.

Four rectangles labelled A, B, C and D are shown below.

Which two rectangles are similar?

Give a reason for your choice.

The two rectangles which are similar are rectangles_........ and_........

Aled and Berwyn share £ x in the ratio 2: 3.

Aled’s share of the money is £0.4x.

What is Berwyn’s share of the money in terms of x?

Carys and Delyth share the same amount, £x, in the ratio 3: 7.

Show that one of these four people receives the same amount as the combined total of

two of the other people.