WJEC GCSE Numeracy Unit 2: Calculator-allowed Intermediate June 2022 question paper 3310U40-1

The travel graph below shows a journey Luke made on Saturday along a straight road.

How far away from home was Luke at 17:00?

For what length of time was Luke away from home on this journey?

Circle your answer.

During his journey, Luke visited a friend’s house. He stopped for an hour and then continued his journey.

How far from Luke’s home does his friend live?

How many kilometres did Luke travel between 13:00 and 14:30?

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

Lewis has been told by his doctor to eat 2400 calories per day.

He has been told to eat 35% of these calories at breakfast.

Lewis’s breakfast on Tuesday had a total of 860 calories.

By how many calories did his breakfast on Tuesday exceed the amount he should have eaten?

You must show all your working.

The following information is stated on the packet of breakfast cereal.

Express, in its simplest terms, the ratio Carbohydrates: Protein.

A serving of cereal has a mass of 30 g.

Calculate the mass of carbohydrates in a serving of this cereal.

After taking her meter reading, Alys always works out her electricity bill.

She has created a table to fill in, as shown below.

Complete Alys’s table to calculate her electricity bill.

Esme has a pond and a flowerbed in her garden. The pond is circular and the flowerbed is in the shape of a quadrilateral, as shown

The diameter of the pond is 140 cm. The perimeter of the pond and the perimeter of the flowerbed are equal.

Esme needs to know the lengths of all the sides of her flowerbed. Complete the following statement for Esme.

“The lengths of the sides of the flowerbed are 176 cm, 128 cm, 60 cm

and_........ cm.”

You must show all your working.

Bill has a vegetable plot in his garden. It is in the shape of a trapezium, as shown below.

Fertiliser is sold in small bags. Each bag contains enough fertiliser to treat an area of 0.9 m². A bag of fertiliser costs £1.15.

How much will it cost Bill to buy enough bags of fertiliser to treat his vegetable plot?

You must show all your working.

An engine normally runs at 100°C.

When the engine runs at 110°C or more, a warning light comes on.

A section of the temperature chart for the engine, from 12:00 to 16:00, is shown below.

At what time was it first recorded that the warning light had come on?

What was the range of the recorded temperatures of the engine between 12:00 and

16:00?

Use the graph paper below to plot the recorded temperature of the engine at

12:00, 13:00, 14:00, 15:00 and 16:00 only.

Why is the graph you have drawn misleading?

Last year, Janita recorded the number of miles she travelled each week in her car. She summarised the information in a frequency table, as shown below.

Number of miles, x	Frequency
20 x 60	4
60 x 80	8
80 x 100	11
100 x 150	12
150 x 200	17

In which group does the median weekly number of miles lie?

Circle your answer.

Calculate an estimate of the mean number of miles Janita travelled each week in

her car.

Last month: • Janita travelled 440 miles in her car • the cost of fuel was £1.30 per litre.

Janita’s car averages 11 miles per litre of fuel.

Next month, she needs to budget for an increased travel cost.

Janita says,

Calculate how much Janita should budget for her car travel costs for next month.

You must show all your working.

Mito is a city in Japan.

Complete the following statement.

“The bearing of Tokyo from Mito is........ °.”

The road distance from Mito to Tokyo is 114 km. Anzu travelled by car from Mito to Tokyo in 1 hour 27 minutes.

Calculate the average speed of Anzu’s journey.

Give your answer in km/h.

Tilly is travelling to Mito. She wants to exchange no more than £800 into Japanese yen.

The exchange rate is £1 = 135.72 Japanese yen.

On the day Tilly exchanges her money, the exchange shop only has 1000 Japanese yen notes and 5000 Japanese yen notes available.

Calculate: • the maximum number of Japanese yen Tilly can buy • how much, to the nearest penny, this will cost her.

You must show all your working.

Mito has a population of 270 400.

25% of Mito’s population is aged 65 or over. The ratio of the number of people aged 0 to 14 to the number of people aged 15 to 64 is 9: 41.

Calculate the number of people aged 0 to 14.

A cylindrical water tank has a radius of 36 cm.

There are 80 litres of water in the tank.

Calculate the height of the water in the tank in centimetres.

The height of the water in the tank is_{………........ ……….} cm

Last year, Khalida paid 2400 dollars income tax.

The tax bands were as follows.

Calculate Khalida’s income before the deduction of tax.

Khalida’s income was_{………………………........ ………………} dollars