WJEC GCSE Mathematics Unit 2: Calculator-allowed Intermediate June 2023 question paper 3300U40-1

Calculate the value of x.

The diagram below shows an isosceles triangle.

Calculate the value of y.

Which one of the following fractions can be written as a recurring decimal?

Circle your answer.

Which three numbers from the list below are prime numbers?

27 31 35 39 43 47 51 55

The three prime numbers are:

Alice is 9 years younger than Isaac. Nadia is one third of Isaac’s age. Dewi is twice Nadia’s age.

Alice is 27 years old.

What are the ages of Isaac, Nadia and Dewi?

Isaac is_........ years old. Nadia is_........ years old. Dewi is_........ years old.

Write down the next two numbers in the following sequence.

f 3g 2h.

Calculate the value of f when g = 9·3 and h = −13·6.

A box contains different-coloured balls. Some are red, some are blue and the others are green.

The bar chart shows how many balls of each colour are in the box.

Draw an accurate pie chart to compare the number of coloured balls in the box.

Part of the pie chart has been completed for you.

The letters A, B, C and D describe four different events.

Using the letters A, B, C and D, list the events in the order of how likely they are to happen.

Start with the least likely and end with the most likely.

A journey of 45 miles is travelled in 1 hour 15 minutes. Calculate the average speed of this journey.

Give your answer in mph.

A regular polygon has 15 sides.

Calculate the size of an exterior angle of this regular polygon.

What is the bearing of point B from point A?

What is the bearing of point A from point B?

Points P, Q, R and S are all 5 km from point X.

P is on a bearing of 005° from X. Q is on a bearing of 100° from X. R is on a bearing of 240° from X. S is on a bearing of 355° from X.

Which two of the four points P, Q, R and S are closest to each other?

The two points closest to each other are_........ and_........ .

A bus going to a Welsh Heritage conference has 43 people on board.

There are 38 students, 4 tutors and a driver on the bus.

At the conference, each student will attend a session on Language, a session on History or both sessions.

• All the students will attend at least one session. • 18 students will attend both sessions. • 25 students will attend the session on History. • The tutors and driver will not attend either of the sessions.

One of the people on the bus is chosen at random.

What is the probability that this person will attend the session on Language?

Solve the equation 7 5x 2 3x 8.

Make f the subject of the formula h 13 2 f.

Factorise 15x 35y.

A large number of prize tokens are placed in a box.

The tokens are identical in shape and size.

Gold, Silver, Bronze or No Prize is written on each token.

One token is chosen at random from the box. The table below shows the probability of choosing a Gold prize token and the probability of choosing a Silver prize token.

There are three times as many No Prize tokens in the box as there are Bronze prize tokens.

Complete the table.

There are 15 Gold prize tokens in the box.

How many Silver prize tokens are there in the box?

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.

Give your answer correct to 2 significant figures.

Calculate the reciprocal of 23.

Give your answer correct to 3 decimal places.

Circle the correct answer for each of the following.

The Lowest Common Multiple (LCM) of 4 and 6 is:

2 4 6 12 24

The Highest Common Factor (HCF) of 10 and 15 is:

5 10 15 30 150

Calculate the value of x.

Hence find the length DE.

A number is decreased by 5% of its value. This is done 4 times in total. Each time, the value decreases by 5%.

Circle the multiplier that you would use to find the value after the 4 decreases.

A number has been decreased by 17% to give an answer of 3569.

What was the original number?

The diagram below shows a semicircle, with radius r, drawn inside a trapezium.

The area of the semicircle is 77 cm².

The semicircle touches the line AB. AB = 22 cm.

Calculate the area of the trapezium ABCD.