WJEC GCSE Numeracy Unit 1: Non-calculator Intermediate November 2024 question paper 3310U30-1

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

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.

Dilwyn asked 20 people how many pets each of them owned.

The results are shown in the table below.

Calculate the mean number of pets owned by these 20 people.

You must show all your working.

Eleri is investigating whether people working in offices are happy with the processing speed of their office computer.

She considers the data she needs to collect.

Eleri includes the following two questions in her questionnaire. For each question, write down one set of possible groups she could use as answer options.

Question 1: How many days per month do you work in your office?

Possible groups for answer:

Question 2: How happy are you with the processing speed of your office computer?

Possible groups for answer:

Jamal is paid in dollars.

The income tax rates are as follows:

Jamal’s total earnings before tax are 36 000 dollars.

Calculate how much tax Jamal is due to pay in total.

You must show all your working.

A fire surround is made from concrete.

The fire surround has a uniform cross-section. The edges of the fire surround are all either horizontal or vertical, as shown in the diagram.

The volume of the concrete in the fire surround is 164 000 cm³.

Calculate the depth of the fire surround. Give your answer in centimetres.

You must show all your working.

Depth of fire surround is_{………..………………} cm

Delia bought a gold bracelet at a car boot sale a few years ago.

Delia’s bracelet has increased in value by 40%. Her gold bracelet is now worth £42.

Calculate how much Delia paid for the bracelet in the car boot sale.

Geraint has collected data on some adult gulls.

He weighed 400 slender-billed gulls, 400 little gulls, and 400 black-headed gulls.

He has constructed box-and-whisker diagrams to display the masses of the gulls.

Slender-billed gulls

Black-headed gulls

What is the range of the masses of the slender-billed gulls?

Range of the masses_{………..………........ ………} g

How many of the little gulls have a mass greater than or equal to 96 g?

Write down the percentage of little gulls that have a mass greater than or equal to 168 g.

From the box-and-whisker diagrams, Geraint notices that two of the types of gull have the same median mass. He makes the following statement about these two types of gull.

“The diagrams suggest that one of these two types of gull generally has a greater mass than the other.”

Which type of gull appears to have the greater mass?

Geraint based his statement on one of the following measures. Which measure did Geraint use?

Circle your answer.

Range Median Lowest mass Lower quartile Upper quartile

What is the least possible width of this shipping container?

Circle your answer.

2·425 m 2·42 m 2·435 m 2·426 m 2·424 m

An end view of a stack of these shipping containers is shown below.

Calculate the greatest possible height of the stack of shipping containers.

Give your answer in metres.

There are 32 shipping containers in this stack.

Sketch the plan view of this stack of shipping containers in the space below.