WJEC GCSE Numeracy Unit 1: Non-calculator Foundation June 2022 question paper 3310U10-1

Rachel visited Caernarfon Castle.

She used the coordinate grid below to help her find the places that she wanted to see.

The Chamberlain Tower is shown as point H on the grid.

What are the coordinates of the Chamberlain Tower?

Coordinates of the Chamberlain Tower are (_{……........ ……..},_{……........ ……..})

The Granary Tower is shown as point N on the grid.

What are the coordinates of the Granary Tower?

Coordinates of the Granary Tower are (_{……........ ……..},_{……........ ……..})

Sandwiches are made for people at a community centre.

One Saturday, the following ingredients were used to make sandwiches for 10 people.

2 loaves of bread 50 grams of butter 3 tins of tuna 14 tomatoes

Next Saturday, there will be 40 people in the community centre.

Complete the list below to show the ingredients needed to make sandwiches for the 40

people.

Sandwiches for 40 people:

Cuboid Cylinder Cube Sphere Cone

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

The local drama group is putting on a show in the community centre hall.

The hire charge for the hall is £10 per hour. The hall will be needed from 17:00 to 22:00.

The total costs of the event are: • hire of the hall • costumes: £250 • printing tickets: £60 • sound and lighting equipment: £400.

Tickets for the show are sold for £8 each.

What is the smallest number of tickets that must be sold so that the drama group does not make a loss when putting on the show?

You must show all your working.

Rhodri is organising his son’s birthday party.

He decides to give every child a party bag.

There will be 19 children at the party. A party bag costs £2.98 to produce.

Estimate how much Rhodri will spend on producing party bags.

Gary works at a garage.

On Tuesday, 7 cars have a service in the garage. For each service, 4·5 litres of oil are needed.

Another 6 litres of oil are used for all the other jobs in the garage.

What is the total amount of oil needed on Tuesday?

Gary thinks that 4·5 litres is the same as 450 millilitres. He is incorrect.

Change 4·5 litres to millilitres.

4·5 litres is the same as_{…………........ …………………} millilitres.

The garage doorway has a height of 2·3 m.

Mr Khan would like to have his campervan serviced.

Mr Khan’s campervan is shown in the picture below. The scale of the picture is 1 cm represents 0·4 m.

Find the actual height of the campervan in metres. Decide whether or not the campervan will fit under the garage doorway.

You must show all your working.

Actual height of the campervan =_{…………........ ……………………..} metres

Will the campervan fit under the doorway? Yes
No

One of the events in the World Athletics Championships is the men’s long jump.

In the final, the top 8 competitors are allowed 6 jumps each.

Which competitor was in the lead after all the competitors had completed their 1st jump?

The length of Henderson’s 4th jump was 7 metres and 3 centimetres.

How should this be recorded on the scoreboard?

What is the difference between the lengths of Cáceres’s 2nd and 5th jumps?

Castell Car Park

£3 for the first 2 hours, or part of the first 2 hours

AND after that

40p for every further 20 minutes, or part of each 20 minutes

Maximum stay is 24 hours

Dewi parks his car in Castell Car Park. He parks for 2 hours 30 minutes. How much should Dewi pay?

Circle your answer.

£3.60 £3.40 £3.20 £3.80 £6.00

Elin paid £5.80 to park her car in Castell Car Park. What is the maximum length of time that Elin has paid for? Give your answer in hours and minutes.

You must show all your working.

Maximum length of time is_{……........ …….} hours_{……........ …….} minutes

Rodney records how much energy, in calories, different energy bars provide.

Each energy bar has a mass of 35 g.

Rodney draws a frequency diagram to display his findings. He uses groups of width 10 calories:

100 energy 110, 110 energy 120,........, 140 energy 150

Frequency

Which is the modal group?

What fraction of the energy bars provide less than 130 calories?

Consider only the energy bars providing 130 calories or more.

What percentage of these energy bars provide 140 calories or more?

Evans Grocery sells bags of frozen peas.

The pie chart shows information about the number of bags of frozen peas that were sold last month.

A total of 720 bags of frozen peas were sold last month.

Calculate the total cost of the sales of the frozen peas.

Which of the two sizes of bags of peas offers the better value for money?

You must show all your working.

Myra recorded the wingspan and mass of a number of birds.

Her results are shown in the scatter diagram below.

The wingspan of one of the birds shown in the scatter diagram is 31 cm.

What is the mass of this bird?

Two of the birds shown in the scatter diagram have a mass of 5 g.

What is the difference between the wingspans of these two birds?

Difference between the wingspans is_........ cm

Use 30 cm ≈ 12 inches to answer this question.

Find the wingspan of the bird with a mass of 8·5 g.

Give your answer in inches.

Wingspan is_........ inches

What type of correlation does this scatter diagram show?

Use the scatter diagram to estimate the wingspan of a bird with a mass of 12 g.

People travel by bus or by train from Hiraddug Station.

On Tuesday, 420 people travelled by bus from the station. Of the 420 people who travelled by bus from the station, 35% had a travel pass.

Calculate the number of people who travelled by bus and did not have a travel pass.