WJEC GCSE Numeracy Unit 2: Calculator-allowed Higher June 2025 question paper 3310U60-1

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

Elfed goes to the park to exercise.

Yesterday he ran 10 km and then walked a further 4 km. Elfed ran for 45 minutes and walked for 1 hour.

What was Elfed’s overall average speed for his exercise in the park yesterday? Give your answer in km/h.

You must show all your working.

Bethan bought a house in January 2000 for £30 000.

In the first 10 years, her house increased in value each year by 6% of its previous year’s value. In the following 15 years, her house increased in value each year by 11% of its previous year’s value.

Calculate the value of Bethan’s house in January 2025.

100 people took part in a fundraising event last Saturday and Sunday. They raised money for charity by working towards some fitness targets.

The target for Saturday was to achieve a mean of 6500 steps per person.

The results for Saturday are shown in the table below.

Calculate an estimate of the mean number of steps per person on Saturday to

show that this target was met.

On Sunday, the 100 people were divided into three groups, A, B and C, based upon their results from the Saturday. Each group was given a target of a mean number of steps per person.

The targets for groups A, B and C were 8000, 9000 and 10 000 steps, respectively.

The table below shows the mean number of steps per person that each group achieved

The ratio of the number of people in the different groups was A: B: C = 18: 4: 3.

Calculate the overall mean of the number of steps taken per person by these

100 people on Sunday.

The organiser says,

“A fabulous result on Sunday! Two of the three groups met their target. This means that two-thirds of the targets given were met.”

Give a reason why this could be seen as a misrepresentation of the outcome of

Sunday’s fundraising event.

Gwilym is giving a talk about the amount of food that was wasted in 2019. He has found some details of food waste in 2019.

The population data seems to be given correct to a certain number of significant figures. To how many significant figures does the data seem to be given?

Circle your answer.

Three One Ten Eight Two

Use the data from the table above to complete the following statements.

You must show all your working.

‘On average, a person in France produced........ kilograms of food waste.

This was........ times the average amount of food waste per person in China.’

The area of the United Kingdom is 242 500 km². Use this information and the information in the table on the previous page to answer the following questions about 2019.

What was the population density of the UK?

_{……........ ………..} people per km²

What was the average food waste per km² in the UK?

Give your answer in tonnes.

Dyfan has two different 25 g bars of chocolate, a Chocodusk bar and a Luxury Dark bar.

The Chocodusk bar has a lower cocoa content than the Luxury Dark bar.

The nutritional information from these bars of chocolate is given below.

Complete the following statement.

‘The amount of salt in the Luxury Dark bar is........ % of the amount of salt in the Chocodusk bar.’

Dyfan eats 20 g of the Luxury Dark bar.

Calculate the percentage of the Chocodusk bar that gives Dyfan the same amount of saturated fat.

You must show all your working.

A hot air balloon is initially descending at a speed of 3 m/s. A passenger drops their phone out of the balloon. The phone accelerates due to gravity at a rate of 9∙8 m/s², and hits the ground with a speed of 50 m/s.

The speed, vm/s, of the phone when it hits the ground is given by the formula,

where: u is the initial speed of the phone, g is the acceleration due to gravity, h is the height above the ground from which the phone was dropped.

Use the formula to calculate the height from which the phone was dropped.

Calculate the greatest possible density of the Earth.

Give your answer in kg/m³.

Here are some approximations about the Earth’s motion around the Sun.

• The Earth follows a circular path around the Sun. • The Earth makes 1 complete revolution of the Sun in 365 days. • The speed of the Earth is 29 700 m/s.

Use these approximations to calculate the radius, in metres, of the Earth’s motion around the Sun.

Give your answer in standard form.

NoomAir is a cargo plane company based in Nice.

Two of their planes have been hired to deliver cargo to the cities of Rome, Valencia and Tunis.

The second plane will fly from Nice to Valencia, and then on to Tunis. The pilot of this plane knows the following information. • Valencia is on a bearing of 234º from Nice. • The distance between Valencia and Tunis is 970 km.

Calculate the bearing of Tunis from Valencia.

NoomAir sells toy replicas of one of its cargo planes.

The volume of a large toy plane is 6 times the volume of a small toy plane. The length of a large toy plane is 30 cm.

Calculate the length of a small toy plane.

Menna is going to invest £400 in her bank’s savings account.

The savings account has a special interest rate for one year only.

The account pays 0∙2% interest per month for the first 10 months, and then 1∙7% interest per month for the last 2 months of the year.

Calculate the AER the bank should be advertising on the account.

Give your answer as a percentage, correct to 2 decimal places.

Pupils in Ysgol Ddwysaint have designed a new bike shelter.

It is made of 3 clear plastic sheets. The two ends of the shelter are equal in size. The back and roof of the shelter are made from one curved rectangular sheet that connects the two end sheets. The bike shelter is 6 m long.

One of the end sheets is shown below. AC is an arc of a circle with centre O and radius 2∙5 m. BC = 1∙4 m and AOC = 75º.

Calculate the total area of plastic used to make the bike shelter.