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

Calculate the size of angle x.

PQRS is a quadrilateral. QRT is a straight line.

Calculate the size of angle y.

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

Owen says,

Is Owen correct?

Show clearly, using an example, how you decided.

Calculate the following.

You must show all your working.

Express £19.44 as a percentage of £36.

Megan has the following 7 playing cards.

She turned these cards face down. Megan then chose a card at random and recorded the number.

What is the probability that Megan recorded the number 5?

Circle your answer.

What is the probability that Megan recorded a square number?

Circle your answer.

Megan chooses a card at random 91 times. How many times would you expect Megan to record a square number?

You must show all your working.

Solve each of the following equations.

3y − 5 = 19

8 p + 5 = 3p − 25

Factorise w² − 6w.

A bag contains 1 yellow counter and 2 pink counters.

Olga puts more yellow counters into the bag.

She takes one counter out of the bag at random. The probability of taking a yellow counter out of the bag is

How many more yellow counters did Olga put into the bag?

Olga put_{……………........ ………..} more yellow counters into the bag

Rotate the triangle through 90° clockwise, about the origin.

Reflect the triangle in the line x =−2.

A money box contains some 20p coins and some 50p coins.

The value of the 20p coins is £19.20.

The ratio of the number of 20p coins to the number of 50p coins is 8: 5.

Find the total value of the coins in the money box.

You must show all your working.

A solution of the equation

lies between 0 and 1.

Use the method of trial and improvement to find this solution correct to 1 decimal place.

You must show all your working.

Find five numbers so that: 12. • their mean is 4·5 • their mode is 3·5.

Write your five numbers in the boxes below.

The five numbers are

The interior angle of a regular polygon is 171°.

How many sides does the polygon have?

Calculate the length of AC.

Calculate the value of x.

PowrUp is a company that makes batteries.

The quality of the batteries is tested regularly. PowrUp calculates the relative frequency of faulty batteries after checking a total of 1000, 2000, 3000, 4000 and 5000 batteries. The results are plotted on the graph below.

One battery is selected at random. Write down the best estimate for the probability that this battery will be faulty.

You must give a reason for your choice.

Reason:

The diagram shows a solid cylinder with radius 10 cm.

The total surface area of the solid cylinder is 1570·8 cm².

Find the height of the cylinder.

2400 tickets were sold for a concert. The table below shows the cost of the different types of ticket.

The total cost of all the 2400 tickets sold was £89 520. Let x represent the number of seated tickets sold. Let y represent the number of standing tickets sold.

Complete the following table.