Numeracy · WJEC 3310 · Unit 2: Calculator-allowed · Intermediate · November 2021
Dilwyn draws a conversion graph to help him understand his geography homework. He is looking at areas, in both square metres (m2) and acres.
Square metres (m2)
Which of the following is equivalent to 0.05 acres? Circle your answer. (a)
[1]
Which of the following is equivalent to 0.3 acres? Circle your answer. (b)
[1]
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.
[6]
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
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.
[7]
• 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
[4]
Serena is making a sauce. The mass of flour Serena has in her mixing bowl is double the mass of butter. The total mass of flour and butter is 852 g.
Calculate the mass of the flour in Serena’s mixing bowl.
[2]
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.
[3]
Does the table top with the greater perimeter also have the greater area?
You must show all your working.
[3]
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.
[3]
Marie wants to buy some sun cream.
100 ml for £1.42
250 ml for £3.65
Which of the two bottles of sun cream offers the better value for money?
Small bottle
Large bottle
You must show all your working.
[2]
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.
[1]
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
[1]
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
[2]
Bryn is 1∙50 m tall. Abigail is 18% taller than Bryn.
Find Abigail’s calculated estimate of the area of her skin.
Abigail’s estimate of the area of her skin is………........ ……………… m2
[3]
On Monday, Mrs Griffin recorded the time each of her students took to start a task.
She records her data in groups of equal width. Mrs Griffin displays the results in a frequency polygon, as shown below.
Frequency
On Monday, how many students started the task?
[2]
In which group is the median time taken to start the task?
[2]
On Tuesday, the same students started the same task again. 25% of them started the task within 10 seconds.
Is this an improvement on the number of students who started the task within 10 seconds on Monday?
You must show all your working.
Yes No
[2]
Nerys is going on holiday to the USA for 13 days and then to Italy for 7 days. She has saved a total of £500 to buy US dollars ($) and euros (€). Nerys takes 
of her savings to buy US dollars from Terra Rose currency exchange. She wants to buy as many dollars as possible.
Nerys plans to use all her remaining money to buy euros.
How many dollars will Nerys buy? How much money, correct to the nearest penny, will she have left to buy euros?
You must show all your working.
Nerys will buy $........
She will have £........ left to buy euros.
[8]
He serves 80 people lemonade. Diagram not drawn to scale How many full jugs of lemonade does Elwyn have left over?
You must show all your working.
Number of full jugs of lemonade left over is........
[5]
Mr Read is building a shelter against his house.
Mr Read has started to place some panels on his roof. When fitted to the roof, each panel needs to slightly overlap the next panel. The plan view of placing the first 3 panels is also shown below.
The shelter roof panels are 1 metre wide and can be bought in different lengths.
| Length of panel | 4∙1 m | 4∙2 m | 4∙3 m | 4∙4 m | 4∙5 m | 4∙6 m |
| Cost per panel | £21 | £22 | £23 | £24 | £25 | £26 |
Mr Read bought the cheapest suitable panels to build his shelter roof. Calculate the cost of all of the panels Mr Read bought.
You must show all your working.
[6]
Calculate the size of the angle between the shelter roof and the outside wall of the house.
Give your answer correct to 3 significant figures.
[4]
The paper as printed
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