WJEC GCSE Numeracy Unit 1: Non-calculator Foundation November 2024 question paper 3310U10-1

Sharon has a new job in Margam Park.

On a Saturday afternoon, Sharon carried out a survey. She asked visitors who were leaving Margam Park to choose their favourite activity. Sharon shows the activities and some of her results in the tally

Sharon then realises she did not record the replies of the last 9 visitors. Of these: • 3 visitors chose the tree-top adventure • 3 visitors chose the castle tour • 3 visitors chose mountain biking.

Sharon says:

“The modal favourite activity in the park is the Playground.”

Complete the tallies and frequencies in the tally chart above to decide if Sharon is correct.

Is Sharon correct?

Give a reason for your answer.

Yes No

How many visitors took part in the survey in total?

Sharon displays her findings in a vertical line diagram. She shows this to other staff at a monthly meeting.

Draw Sharon’s vertical line diagram.

Complete the statement below:

‘The number of visitors who chose the Playground was_{……………........ ………} times the number who chose the Park train ride.’

At the monthly meeting, Sharon looks at the results from her Saturday afternoon survey and says:

“This month, the Park train ride is not doing very well when compared with the Playground.”

Give one reason why this may not be true.

Sharon has checked the weather forecast for next week and it shows that it will rain on 5 out of the 7 days. One day from next week is chosen at random.

Which of the following best describes the chance that it will rain on that day?

Circle your answer.

impossible unlikely even chance likely certain

Kiera decides to buy the 2 tickets online in advance.

When she buys the tickets online: • she is given 10% off the cost of each ticket • she has to pay a total booking fee of £1.40.

How much does Kiera pay in total for the 2 tickets?

The position of each seat in the cinema is given by a code, for example, seat E5. Each row of seats is labelled with a letter, A, B, C, D, E, F, G and H. Each row starts with seat number 1. Seats A1 and A2 have already been booked. This is shown by the crosses on the diagram.

Kiera books seats G9 and G10 for herself and her friend.

Draw a cross on each of these 2 seats on the diagram below.

When Kiera arrives at the cinema, she sees the following prices advertised.

Kiera decides to buy the Deluxe Combo. How much will Kiera save by buying the Deluxe Combo instead of buying a large soft

drink and a large popcorn separately?

How many years ago did Magic Johnson first play for the LA Lakers?

What is Magic Johnson’s height in metres?

Write his salary of $3 142 000 in words.

The actual length of the basketball court is 28 metres.

Use the scale drawing to find the actual width of the basketball court.

Actual width of the basketball court is_{……..………........} metres

The diagram below represents the positions of three players on a basketball court.

Bryn faces Alex. Bryn then turns clockwise to face Charlie.

Charlie thinks that Bryn has turned through an acute angle. Do you agree?

Give a reason for your answer.

Yes No

In the space below, complete an accurate scale drawing to show Charlie’s position.

The positions of Alex and Bryn are shown.

Use the scale: 1 cm represents 0∙5 m.

The map below shows part of the coastline and some islands off the coast of Gwynedd.

Write down the bearing of Aberdaron from Bardsey Island lighthouse.

Write down the bearing of Bardsey Island lighthouse from Ynys Gwylan-bach.

Huw can see Bardsey Island lighthouse from Ynys Gwylan-bach. How far is the lighthouse from Ynys Gwylan-bach? Give your answer in kilometres.

You must show all your working.

The candela and the lumen are units that can be used to measure light intensity.

Below is a conversion graph. You can use this graph to make approximate conversions between candelas and lumens for a particular type of light.

For this type of light, complete each of the following statements.

1·15 candelas is approximately equal to_........ lumens.

13·5 lumens is approximately equal to_........ candelas.

The light from Bardsey Island lighthouse has an intensity of approximately 52 000 candelas. The light from Strumble Head lighthouse in Pembrokeshire has an intensity of approximately 1 000 000 candelas.

By estimating, complete the following statement.

You must show all your working.

‘The light from Strumble Head lighthouse is approximately_........ times as intense as the light from Bardsey Island lighthouse.’

Maria makes and sells individual portions of salad.

The tomatoes Maria needs to make 5 portions of salad cost her £1.75. Calculate the cost of the tomatoes she needs to make 40 portions of

this salad.

Maria makes a salad dressing from oil and vinegar. She uses oil and vinegar in the ratio 3: 1. Maria makes 280 ml of salad dressing.

Calculate the quantity of oil and the quantity of vinegar in the salad dressing.

It costs Maria £24 to make 40 portions of salad. She sells all these portions of salad for 90p each.

Calculate the percentage profit that Maria makes.

Charlton Garden Centre sells plant pots and saucers.

At the garden centre, Enid buys twice as many plant pots as she does saucers. The cost of a plant pot is 40p. The cost of a saucer is 25p. She spends £10.50 buying these plant pots and saucers.

Calculate how much Enid spends on buying the saucers.

You must show all your working.

Enid spends £_........ buying the saucers

A 2·5 g packet of Cosmos seeds costs £8.20. Gareth needs 1 gram of Cosmos seeds to sow an area of 1 m².

Calculate how much it costs Gareth to buy the packets of Cosmos seeds he needs to sow this part of the garden.

You must show all your working.

Miss Hughes asked her class of Year 9 pupils and her class of Year 10 pupils how many minutes they each spent on their mathematics homework last weekend.

The frequency diagrams below show the results. The groups used are as follows:

0 time 10, 10 time 20, 20 time 30 and 30 time 40.

Frequency Frequency

What is the modal group of the times for the Year 9 pupils?

How many of the Year 10 pupils spent 20 minutes or more on their mathematics

homework last weekend?

Did any of the Year 10 pupils spend no time on their mathematics homework last weekend?

Yes
No
Can’t tell

You must give a reason for your answer.

Delyth calculates the following: • the fraction of the Year 9 pupils who spent between 30 and 40 minutes on their homework • the fraction of the Year 10 pupils who spent between 30 and 40 minutes on their homework.

Delyth says, “These fractions are exactly the same.”

Is Delyth correct?

Yes No

You must give a reason for your answer.