WJEC GCSE Mathematics Unit 2: Calculator-allowed Higher November 2024 question paper 3300U60-1

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

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: 3. • 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.

Enlarge the given triangle by a scale factor of –2, using point A as the centre of enlargement.

The solid shown below is a quarter of a sphere with radius 7·3 cm.

Calculate the volume of this solid.

Give your answer correct to 3 significant figures.

FD is the tangent to the circle at point E, as shown below.

ABCD is a straight line. ABE = 130° and BEC = 60°.

Calculate the size of CDE.

Factorise (2x + 3)² −16.

Use the quadratic formula to solve the equation 11x² = 23x +19. Give your answer correct to 2 decimal places.

You must show all your working.

The first four terms of a sequence are

Find the nth term of the sequence.

Hence, find the 250th term.

A bag contains 3 red counters, 5 blue counters and 7 yellow counters.

Sali takes three counters at random from the bag. These counters are not replaced.

Calculate the probability that at least two of the counters are the same colour.

Make d the subject of the following formula.

Calculate the size of angle x.

Hence, calculate the total area of the shape.