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Numeracy · WJEC 3310 · Unit 2: Calculator-allowed · Intermediate · June 2023

WJEC GCSE Numeracy Unit 2: Calculator-allowed Intermediate June 2023 question paper 3310U40-1

1h 45m 80 marks

Practise the past exam questions by topic

WJEC 3310 · Unit 2I

10 questions
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Question 2

In 2018, the costs of making phone calls from the UK to some overseas countries were as shown in the tables below.

Figure for question 2
(a)
(a)(i)

Calculate the cost of making a 2 fraction hour phone call to a mobile in China.

Give your answer in pounds.

[3]

(b)

The table below gives the exchange rates in September 2018.

Figure for question 2
(b)(i)

A phone call to Argentina cost £6.

How much did this phone call cost in pesos?

[2]

(b)(ii)

A phone call to a landline in Japan cost 2151.30 yen. Calculate: • the cost of this phone call, in pounds,

• how long the phone call lasted, in minutes.

Phone call lasted........ minutes

[4]

Question 3

(a)

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

The Draig Afon youth choir went on tour. 48 people travelled and stayed in hotels.

The organiser booked: • Gwesty Arwel for 3 nights • Hotel Glan y Môr for 5 nights.

The table gives the prices per night for the two hotels.

Figure for question 3

The Draig Afon youth choir qualified for the group booking offer.

12 of these people required single rooms. The other 36 people were booked into twin rooms.

Calculate the total cost of the 8-night stay for the choir.

You must show all your working.

[10]

(b)

The Draig Afon youth choir hired a coach. At the start of the tour, the coach’s display showed it had travelled 32 474 km. At the end of the tour, the coach’s display showed 33 860 km.

The fuel for the coach cost £1.86 per litre. On average, the coach used 1 litre of fuel for every 4 km travelled.

Calculate the total cost of the fuel used for the choir’s tour.

[5]

Question 4

(a)

Llandudno Pier is 700 m long. What is the length of Llandudno Pier in feet?

You must use the following conversions.

Figure for question 4

[3]

(b)

Southend Pier is the longest pleasure pier in the world. It is 1∙34 miles long. Gareth walks at a steady pace along Southend Pier. He walks 84 metres every minute. He starts walking along the length of the pier at 2 p.m.

At what time does Gareth reach the end of the pier? Give your time correct to the nearest minute.

You must show all your working.

Gareth reaches the end of the pier at........ , correct to the nearest minute.

[5]

Question 6

The table gives the heights of the 27 musicians in the Camwen Youth Orchestra.

Height, hcmFrequency
150 h 1583
158 h 16610
166 h 1749
174 h 1824
182 h 1900
190 h 1981
(a)
(a)(i)

In which group does the median height of a musician lie?

You must give a reason for your answer.

[2]

(a)(ii)

Is it certain that there is at least one musician in the orchestra who is less than 154 cm tall?

Give a reason for your answer.

Yes No

[1]

Question 7

Layla has been set a target by her fitness trainer.

Every day, Layla has to increase the number of steps she does.

Today, Layla did 1800 steps.

Layla’s target for the number of steps per day:

Increase by 2% every day for the next 28 days

Calculate the number of steps Layla’s trainer is expecting her to do on the last of these

28 days.

[4]

Question 8

Paper comes in standard sizes.

Paper sizeA0A1A2A3A4
Length (cm)118.984.159.442.029.7
Dimensions:Width (cm)84.159.442.029.721.0
(a)

Which paper size has an area of approximately 500 000 mm2?

Circle your answer.

A0 A1 A2 A3 A4

[1]

(b)

The mass of paper is measured in grams. The quality of paper is given by its mass per square metre of paper.

The quality of a sheet of A2 paper used for printing is stated as 120 g/m2.

Complete the following statement.

‘This sheet of A2 paper has a mass of........ g.’

[4]

(c)

Sheets of A4 and A5 paper are mathematically similar.

Figure for question 8

Calculate the length of the diagonal of a sheet of A5 paper.

You must show all your working.

[5]

(d)

The measurements for the A1 sheet of paper in the table are correct to the nearest mm.

Calculate the greatest possible perimeter of an A1 sheet of paper.

[3]

Question 10

Delta Metals makes aluminium chimneys in the shape of open cylinders.

Each chimney has a height of 2.5 m. The external diameter of each chimney is 0.18 m.

Calculate the external curved surface area of one of these chimneys.

Give your answer correct to 3 significant figures.

[4]

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