WJEC GCSE Numeracy Unit 2: Calculator-allowed Foundation November 2021 question paper 3310U20-1

The total distance of the 2018 Tour de France was approximately 3 351 000 m.

Write down, in words, the number 3 351 000.

The Tour de France that Geraint Thomas won took place in July 2018. He was born on 25 May 1986.

How old was Geraint when he won the Tour de France?

Geraint Thomas completed the race in 83 hours 17 minutes and 13 seconds. Tom Dumoulin took 1 minute and 51 seconds longer than Geraint Thomas to complete the race.

How long did Tom Dumoulin take to complete the race?

_........ hours_........ minutes_........ seconds

For some of the faster parts of the race, cyclists can use wheels with three straight spokes. This is shown on the sketch below. The straight spokes are equally spaced around the wheel.

Complete the scale diagram of the wheel below.

One of the three straight spokes has been drawn for you.

A school has 4 houses: Conwy, Hafren, Ystwyth and Taf.

The 4 houses are competing in their school Eisteddfod.

Miss James is keeping score for the school Eisteddfod and has lost the results. She has made a note of what she remembers.

Ystwyth scored_{……………........ ……….} points Taf scored_{……………........ …………….} points

Here are the number of points scored by each house in the mathematics competition in the school Eisteddfod.

A pupil has drawn a bar chart to show this information. The bar chart is incorrect.

Give two reasons why the bar chart is incorrect.

Reason 1:

Reason 2:

Arwel is tiling an area behind his bathroom sink. He uses one large rectangular tile with length 330 mm and width 250 mm.

Find the area of the rectangular tile.

State the units of your answer.

The length a on the diagram is the total length of the tile and borders. The width b on the diagram is the total width of the tile, border and adhesive strip.

Find the length a and the width b.

Give your answers in cm.

Total cost = £23 × number of hours worked + cost of materials

Calculate the total cost when the tiler works for 15 hours and 30 minutes and the cost of

materials is £237.60.

Laura wants to join her local gym for a year.

The local gym has two ways of paying for membership.

The manager offers Laura a 15% discount off the joining fee in Plan A.

In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing. Which plan is the cheaper for Laura?

You must show all your working.

What possible disadvantage could there be if Laura chooses the cheaper plan?

Mr Khan has received his electricity bill. However, he has splashed coffee over some of the entries.

Complete Mr Khan’s electricity bill to find the amount he has to pay.

Mr Khan currently has each of the following bills to pay: • Water bill £234 • Gas bill £120 • Loan repayment £45

If Mr Khan waits until next month to pay these bills, he will pay a month’s interest on each of the bills. Interest is charged for the month as listed: • Water 2% • Gas 2.3% • Loan 11%

Calculate the total interest Mr Khan will have to pay if he waits until next month to pay these bills.

You must show all your working.

• the mass of sugar is of the total mass of these three ingredients, • for every 90 g of sugar he needs to add one egg and 50 g of sultanas.

Calculate the number of eggs and the mass of sultanas that Liam needs to make his Welsh

Cakes.

Mass of sultanas_........ g

Ms Ritter is buying a new dining table.

She has seen a table with a circular top and another with a rectangular top.

The circular top has a diameter of 1.5 m. The rectangular top measures 2 m by 0∙8 m.

Which of the table tops has the greater perimeter?

You must show all your working.

Does the table top with the greater perimeter also have the greater area?

You must show all your working.

In a science lesson, 13 students calculated an estimate of the area of their skin. The results are shown on the scatter diagram below.

Area of skin (m²)

Arwyn is the only student who made an error in his calculation. He is one of the tallest students. What is Arwyn’s calculated estimate of the area of his skin?

Circle your answer.

Which term best describes the correlation between a person’s height and the estimate of the area of their skin?

Circle your answer.

No correlation Spread Certain Positive Negative

Garth is 5 cm taller than Ella. The calculated estimate of the area of Ella’s skin is 1∙54 m².

How tall is Garth?

Garth is_{………........ ………………} m tall

A bottle contains 250 grams of sun cream.

Use this recommendation to answer the following question.

How many applications of sun cream are there in this bottle?

You must show all your working.