WJEC GCSE Mathematics Unit 2: Calculator-allowed Foundation June 2024 question paper 3300U20-1

Fill in the boxes below to make each calculation correct.

Space for working:

There is one square number between 180 and 200.

What is this square number?

A number has exactly four factors. All of the factors are less than 30. Three of the factors are 1, 2 and 26.

What is the other factor?

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

Which length is exactly halfway between 280 m and 410 m? You must show all your working. [2 + 1 W]

Write down the special name of each shape below.

Write down the special name of the 3D shape below.

A parallelogram is shown below.

What is the order of rotational symmetry of the parallelogram?

Circle the correct answer.

0 1 2 3 4

How many lines of symmetry does the parallelogram have?

Circle the correct answer.

0 1 2 3 4

Here are four digits.

7 3 6 5

Write the four digits in the following boxes to form two 2-digit numbers. You need to arrange the four digits so that the product is as small as possible.

You can use each digit only once.

Space for working:

Ben thinks of a number sequence.

The difference between each term and the next is the same.

The first term in the sequence is 11. The fourth term in the sequence is 23.

What are the values of the second and third terms in Ben’s sequence?

In the diagram shown below, the term in each box in the top two rows is found by using

the following rule.

The term in each box is the sum of the terms in the two boxes below it.

Some terms are already shown.

Use the rule to write down the missing terms in the two empty boxes.

Space for working:

Jemma is asked to work out the following calculation.

10 + 4 × 9

Jemma’s method is 14 x 9 = 126

Explain why Jemma’s method is wrong.

Sion is asked to answer the following question.

How many halves are there in 20?

Sion’s method is 20 ÷ 2 = 10

Explain why Sion’s method is wrong.

Rebecca is asked to find the range of the numbers below.

7 1 20 14 11

Rebecca’s method is 11 − 7 = 4

Explain why Rebecca’s method is wrong.

Stef knows what of Paulo’s number is. Using this information, explain how Stef can work out of Paulo’s number.

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

Dyfrig has 50 cards. His cards are numbered from 1 to 50.

Dyfrig puts a red sticker on every card that has a multiple of 6 on it. He puts a blue sticker on every card that has a multiple of 8 on it.

Some cards will have both a blue sticker and a red sticker on them. What numbers will be on these cards? You must show all your working. [3 + 1 OC]

Solve each of the following equations.

7 m 3 31

Evaluate 55% of 42·8.

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

Draw a scale drawing of this triangle using the following scale:

1 cm represents 2 m.

The side A B has already been drawn accurately.

What is the size of A C B ?

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?

Draw an isometric representation of a cuboid measuring 7 cm by 5 cm by 3 cm.

Use the grid below.

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.

Give your answer in hours and minutes.

You must show all your working.

Answer is_{…………........ ……………} hours_{…………........ ……………} minutes.

Calculate the area of a circle with a radius of 8·7 cm.

Give your answer in cm², correct to the nearest whole number.

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.