WJEC GCSE Numeracy Unit 2: Calculator-allowed Intermediate November 2018 question paper 3310U40-1

Calculate the sale price of the T-shirt.

Calculate the sale price of the pair of shoes.

Before the sale, a pair of jeans cost £43. In the sale, the jeans cost £37. By what fraction have the jeans been reduced in the sale?

Circle your answer.

Mixing 200 ml of white paint with 10 ml of red paint and 5 ml of blue paint makes light purple

How many tins of paint will Jana need to buy altogether?

Complete the table below.

The Venn diagram shows the number of items sold by Airand Electronics during the first week in May.

Each tablet was sold for £220. Each cover was sold for £18.

How much money in total did Airand Electronics take in the first week of May?

You must show all your working.

Rushmoore Energy is a company that supplies electricity. Last year, Rushmoore Energy displayed the following information in a pie chart.

The pie chart represents a total of £9100 million.

How much profit did Rushmoore Energy make last year?

Give your answer in millions of pounds.

Profit £_{…………........ ….………} million

Maggie looks at the back of her electricity bill. It shows how much energy she used last period and this period. This is the display she sees.

Is this decrease of 8% correct for the reduction in kWh?

You must show all your working to support your answer.

Yes
No
Can’t tell

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

Maggie used 828 kWh of electricity this period. Electricity was charged at £0.18 per kWh. The standing charge for this period was £65. VAT at 5% is payable on the total cost of the electricity used and the standing charge. Calculate Maggie’s electricity bill.

You must show all your working.

Zara is paid in dollars.

Last year, Zara’s total income before tax was $25 000.

The tax bands, taxable income and tax rates last year were as follows:

Show that Zara should have paid $2400 tax at the basic rate.

Zara’s total tax bill last year was $4000. She thinks an error has been made. Calculate how much tax should be refunded to Zara.

You must show all your working.

Zara’s tax refund is $_{………........ ………}

Use this information to calculate how long Emyr takes to cut his lawn.

Give your answer in minutes.

It takes Emyr_........ minutes.

What assumption have you made?

What impact would this have on the time you calculated in answering (a)(i)?

Emyr cuts his lawn 25 times a year. He uses 4.5 litres of petrol in his lawn mower each year.

How much petrol does the lawn mower use for every 100 metres that Emyr walks?

Give your answer in litres.

Petrol costs £1.30 per litre.

Emyr says, “The petrol for my lawn mower costs me approximately 60p per pint.”

Is Emyr correct?

You must show all your working.

Yes No

Tube Cycles makes a large number of bikes each day.

The graph shows the number of bikes made on 1st July each year from 2012 to 2017.

How many bikes were made on 1st July 2014? Circle your answer.

1010 1020 1050 1100 1200

From the graph, is it possible to say how many bikes were made on 1st December 2014?

You must give a reason for your answer.

Complete the statement below.

‘On 1st July 2017, there were........ times as many bikes made than on 1st July 2012.’

On 1st December 2016, 4000 bikes were made at the Tube Cycles factory. The Tube Cycles factory was working at 80% capacity on that day. This means that only 80% of the maximum possible number of bikes were made.

When the factory works at 95% capacity, how many bikes are made in one day?

In October 2018, the manager of the Tube Cycles factory recorded the number of bikes made each day. Here are her results.

Number of bikes, b	Frequency
1000 b 2000	3
2000 b 3000	12
3000 b 4000	9
4000 b 5000	7

Calculate an estimate of the mean number of bikes made per day during October

2018.

Which group contains the median number of bikes made per day?

Circle your answer.

Amrit and Gareth are planning to go to Switzerland.

The table below shows the rates for exchanging British pounds (£) and Swiss francs (CHF) at a money exchange shop.

The exchange shop: • has all possible British notes and coins, • sells and buys CHF notes only (no coins are available or accepted), • has 10 CHF, 20 CHF, 50 CHF, 100 CHF, 200 CHF and 1000 CHF notes.

Amrit has £480 to buy Swiss francs. Calculate • the maximum number of Swiss francs that Amrit can buy, and • how much, to the nearest penny, this will cost him.

You must show all your working.

Gareth paid £250 to buy 310 CHF. Unfortunately, he is now unable to go to Switzerland.

How much will Gareth lose in selling 310 CHF back to buy pounds?

Luned’s tent is in the shape of a triangular prism. The cross-section of her tent is an isosceles triangle. She noted a few measurements on a diagram of her tent, as shown below.

Calculate the volume of Luned’s tent. Give your answer in m³.

You must show all your working.

Volume of Luned’s tent is_{.....……........ ……………} m³

Cycle frames are made from steel, aluminium or carbon fibre.

The table below gives the density of steel, aluminium and carbon fibre.

Volume of aluminium in Owain’s cycle frame is_{……........ …………} cm³

Bethan has a cycle frame that is identical to Owain’s cycle frame. However, her cycle frame is made from carbon fibre. Calculate the mass of this frame.

Give your answer in grams.

Mass of this cycle frame is_{……........ …………} g

The diagram below is a sketch of the Eiffel Tower.

The sketch is drawn to scale. The Eiffel Tower is 324 metres tall. Visitors can climb up to the Level 2 viewing platform using the internal steps.

Which of the following is a reasonable estimate of the number of steps from the ground to

the Level 2 viewing platform?

150 650 2500 3500 6500

Calculate the angle of elevation of the top of the Eiffel Tower from the point P.