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Numeracy · WJEC 3310 · Unit 2: Calculator-allowed · Higher · November 2021

WJEC GCSE Numeracy Unit 2: Calculator-allowed Higher November 2021 question paper 3310U60-1

1h 45m 80 marks

Practise the past exam questions by topic

WJEC 3310 · Unit 2H

9 questions
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Question 1

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)

Figure for question 1

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]

Question 2

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

Figure for question 2
(a)

On Monday, how many students started the task?

[2]

(b)

In which group is the median time taken to start the task?

[2]

(d)

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]

Question 3

Figure for question 3

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 fraction 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]

Question 4

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

Question 4, shown as an image
Figure for question 4

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.

[7]

Question 5

Mr Read is building a shelter against his house.

(a)
Question 5, shown as an image

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.

Figure for question 5

The shelter roof panels are 1 metre wide and can be bought in different lengths.

Length of panel4∙1 m4∙2 m4∙3 m4∙4 m4∙5 m4∙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]

(b)
Figure for question 5

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]

Question 6

Hannah is opening her own gym.

She has designed a logo that will be on her own brand of sports clothing. She will sell the sports clothing in the gym.

(b)(i)

Calculate the area of the logo shown in part (a).

[3]

(b)
(b)(ii)

An enlarged version of the logo will be painted on the front wall of the gym. All the lengths on this logo will be 200 times as long as the lengths in her original design.

Use your answer to (i) to calculate the area of the logo painted on the front wall of the gym.

Give your answer in m2.

[3]

(c)

For the opening week, Hannah reduces the prices of her clothing range by 20%. On the last day of the opening week, she reduces prices by a further 10%.

Opening week offer: 20% off all clothing Last day promotion: all prices reduced by a further 10%

On the last day of the opening week, Hannah has a sports top priced at £9.72.

Calculate the original price of the sports top before the two reductions in price.

[3]

Question 7

Figure for question 7
(a)

On what bearing did the aircraft fly from Birmingham to Cardiff?

Circle your answer.

069º 135º 225º 235º 291º

[1]

(b)

From Cardiff, the aircraft flies directly back to its base on Anglesey.

(b)(i)

The flight from Cardiff to Anglesey takes 30 minutes. Calculate the average speed of the aircraft from Cardiff to Anglesey.

Give your answer in km/h.

[5]

(b)(ii)

Calculate the bearing of the return journey from Cardiff to Anglesey.

[5]

Question 8

Melissa wants to buy a new car. The car she’d like to buy is priced at £17 000.

Melissa needs to take out a loan to buy the car.

Figure for question 8

Melissa is considering taking out a loan of £17 000 from her bank. The bank will charge her interest on the loan, at a rate of 0∙25% per month.

Melissa wants to calculate the monthly payments required to pay off the loan. The formula she will use is:

Question 8, shown as an image

where, r is the monthly interest rate written as a decimal, L is the loan amount, and n is the number of months required to pay off the loan.

Calculate the difference in the monthly payments if the loan is taken out over 4 years rather than

5 years.

[4]

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