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Numeracy · WJEC 3310 · Unit 1: Non-calculator · Foundation · June 2024

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

1h 30m 65 marks

Calculators may not be used

Practise the past exam questions by topic

WJEC 3310 · Unit 1F

9 questions
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Question 1

(a)

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

Stuart, Annelise and their children like to keep fit.

The table below shows the prices of different membership types at a local fitness club.

Type of MembershipPrice per year
Adult£380
Senior (aged 60 or over)£260
Junior (aged 16 or under)£170
Family (2 adults and 2 juniors)£920

Stuart and Annelise are both aged 42. They have a son aged 14 and a daughter aged 12. They all want to buy membership of the fitness club for a year.

How much less will the family pay in total by having a Family membership instead of a separate membership for each person?

You must show all your working.

[6]

(b)

The table below gives the number of calories used in one minute when exercising on the gym equipment shown.

Figure for question 1
(b)(i)

Stuart uses the rowing machine for 20 minutes.

How many calories will he use?

[2]

(b)(ii)

Annelise uses the cross trainer.

How many minutes does it take her to use 360 calories?

[2]

(d)

The fitness club keeps weekly information about the number of people who attend different fitness classes.

The table below shows the information for the first week of April.

Fitness ClassNumber of people
Spin62
Step96
Yoga84
Circuits88
Zumba57

Annelise thinks that the modal fitness class is yoga.

Is she correct?

Yes No

Give a reason for your answer.

[1]

(e)

The fitness club wants to lay tiles on the bottom of the swimming pool. The outline of the bottom of the pool is drawn to scale on the square grid below. The scale of the drawing is 1 cm represents 1 m.

Figure for question 1

The tiler will charge £30 per square metre for laying the tiles.

How much will the tiler charge in total for laying the tiles?

[4]

(f)

The tiler has a small van.

The diagram below is a scale drawing of the van. The scale of the drawing is 1 cm represents 50 cm.

Find the actual length of the van in metres.

Figure for question 1

Length of the van =……………........ ……………. metres

[3]

Question 6

Erin owns a small shop. Last year, Erin’s income from her shop was 26 000 euros. Erin had to pay tax on all of this income. She paid 20% tax on the first 15 000 euros of this income. She paid 30% tax on the rest of this income above 15 000 euros.

Calculate how much tax Erin paid in total.

You must show all your working.

[5]

Question 7

At a sports event there were 7200 spectators.

These spectators watched cycling, athletics, or both. The entrance fees for the events were as follows.

EventsEntrance fee
Cycling only£25
Athletics only£30
Joint entry to both cycling and athletics£40

The Venn diagram shows the number of tickets bought for the different events.

Figure for question 7

Calculate the total amount taken in entrance fees from the 7200 spectators.

You must show all your working.

[3]

Question 8

Some houses in a village have new driveways laid by DriveDown. The scatter diagram shows the area and cost of each driveway.

Figure for question 8
(a)

Two of these houses have the same area of driveway.

Calculate the difference in the cost of the new driveway for these two houses.

[2]

(b)

Another house in the village has a driveway of area 25 m2.

Estimate the cost of having a new driveway laid by DriveDown for this house.

[1]

Question 9

(a)
Figure for question 9

Calculate the amount of money Siôn took from selling ice creams on Monday.

[4]

(b)

Siôn keeps ice cream in a freezer in his van. Every hour he checks the temperature in his freezer. He turns on his freezer at 8 a.m. The readings he takes from 8 a.m. to 3 p.m. are listed below.

10°C 2°C –5°C –12°C –12°C –12°C –13°C –14°C

(b)(i)

Calculate the mean of these temperatures.

[3]

(b)(ii)

At 4 p.m. the temperature in Siôn’s freezer was recorded as –16°C. Calculate the mean of the temperatures recorded in Siôn’s freezer from 8 a.m. to

4 p.m.

[2]

(c)

Siôn parks his ice cream van on the beach, as shown on the map below.

Scale: 1 cm represents 20 metres

Figure for question 9
(c)(i)

How far is Siôn’s ice cream van from the lifeguard station?

[2]

(c)(ii)

Complete the following statement.

‘The bearing of the lifeguard station from Siôn’s ice cream van

[1]

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