WJEC GCSE Numeracy Unit 1: Non-calculator Foundation June 2019 question paper 3310U10-1

The base of Elwyn’s shed is rectangular. It is 4 m long and 3 m wide. He wants the shed to be: • at least 3 m from the house, • at least 1 m from the hedge, • exactly 2 m from the flower bed.

Draw a possible position for the shed on the diagram.

Elwyn wants to cover the base of the shed with carpet tiles. The carpet tiles cost £15 for each 1 m².

Calculate the total cost of the carpet tiles.

This is a picture of Elwyn’s hedge.

Which of the words below best describes the shape of the hedge?

Circle your answer.

sphere cylinder cone cube cuboid

Jen is at Level 7. She travels down 9 floors to where she parks her car.

What level is this labelled in the lift?

Anna parks her car on the floor that is labelled Level –1 in the lift. She travels up 10 floors to her apartment to collect a present for her friend, Brodie. She then travels down 5 floors to Brodie’s apartment.

What level is Brodie’s apartment labelled in the lift?

Gwenda wants to raise money for the children’s ward of her local hospital. She would like to complete a sponsored walk of 90 miles along part of the coastal path of Wales.

Gwenda is sponsored a total of £3 per mile by her family and friends. Also, a local company will give her 40% of the total amount she receives from her family and friends.

How much money will the local company give Gwenda if she completes the walk?

Gwenda knows that 5 miles is approximately 8 kilometres.

How many kilometres is 90 miles?

A local community group is going to have a stall selling lemonade at a summer fete.

The group needs to buy cups and bottles of lemonade.

Each bottle of lemonade contains 1000 ml and costs 90p. One packet of 100 cups costs £4.

The group plans to buy enough to sell 300 cups of lemonade. Each cup will contain 200 ml of lemonade.

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

How much will it cost to buy everything that is needed to sell 300 cups of lemonade?

Sioned works in a grocery shop.

She has made a poster for the window of the shop.

Sioned has forgotten to write the price of raspberries on the poster. Mr Thomas buys kg of strawberries and 1 kg of raspberries. He pays with a £20 note. He gets £2.55 change. Calculate the price of 1 kg of raspberries.

You must show all your working.

Dieter planted 8 sunflower seeds in May. He labelled the sunflowers A, B, C, D, E, F, G and H.

On 21st August, he measured the heights of all the sunflower plants in cm.

Dieter then drew a graph, as shown below.

Use the graph to answer each of the following questions.

What fraction of the height of the tallest sunflower is the height of the shortest sunflower?

Circle your answer.

Aled and Gareth went on holiday to France.

The total cost of the holiday was £660. • Aled’s mother paid of the total cost. • Aled and Gareth shared the remaining cost in the ratio 1: 9.

Calculate how much each person paid towards the cost of the holiday.

Aled’s mother paid £_........

Explain how you could use your answers to check that they are correct.

Gareth’s luggage weighed 21.13 kg. This was over the maximum of 20 kg allowed.

Gareth removed items from his luggage so that its mass was: • as close to 20 kg as possible, • not greater than 20 kg.

From the following list of items, which two items did Gareth remove?

You must show all your working.

Before going on holiday, Aled made a conversion graph to help him understand prices in

Use Aled’s conversion graph to answer the following questions.

A camera costs £90.

How much is this in euros?

Camera costs_........ euros

A meal costs £25.

How much is this in euros?

Meal costs_........ euros

Gareth looked at exchange rates for buying euros. He recorded the exchange rates for the previous 60 days, as shown below.

£1 = b euros	Frequency
1.00 b 1.04	2
1.04 b 1.08	8
1.08 b 1.12	16
1.12 b 1.16	33
1.16 b 1.20	1

Gareth started to draw a frequency diagram to show this information.

Complete the frequency diagram.

Which is the modal group?

Circle your answer.

The distance a car will travel using 1 gallon of fuel is called its fuel economy.

The fuel economy of a number of cars with different engine sizes is shown below.

Fuel economy (miles per gallon)

Use the scatter diagram to answer the following questions.

State the fuel economy of the car with the largest engine size.

Fuel economy_........ miles per gallon

State the engine size of the car with a fuel economy of 42 miles per gallon.

Engine size_........ litres

Draw, by eye, a line of best fit on the scatter diagram.

A helicopter pilot is planning a route from Milford Haven to Ruabon and then on to Swansea.

To plan the flights, the pilot needs to find the bearings from a map.

Find the bearing of Ruabon from Milford Haven.

Find the bearing of Swansea from Ruabon.