WJEC GCSE Numeracy Unit 2: Calculator-allowed Higher June 2022 question paper 3310U60-1

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.

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

Tubu is a company that makes chocolate bars.

The packaging for a new chocolate bar is in the shape of an isosceles triangular prism.

Calculate the total length of the tear strip required for the packaging.

On 1st January 2022, Jay invested £850 in the Savrplus savings account with ‘Banc y Ddraig’. The Savrplus account pays interest at a rate of 0∙48% every month. The interest is paid on the last day of every month. Jay does not plan to withdraw any money or make any further payments into the account.

Calculate the date when Jay will first have over £1000 in his account.

Date when Jay will first have over £1000 in his account is_........

SureCan is a company that makes cylindrical cans for the food industry.

Two of the cans it makes are mathematically similar. They are shown below.

The base area of the large can is 2∙25 times the base area of the small can.

Show that the height of the small can is 8 cm.

The volume of the small can is 144 cm³.

Calculate the base area of the large can.

Rhian is playing golf.

The diagram below shows one of the holes she is playing. The dotted lines show the recommended route to the hole, taking 2 shots. The length of a shot is the straight-line distance as measured on horizontal ground. The recommended first shot is 160 yards. This shot is to a point equidistant from the sand and the tree on the corner. It is then followed by a second shot of 148 yards to the hole.

Rhian is considering hitting a single shot over the trees and straight at the hole. To get over the trees, this shot needs to be longer than 160 yards.

Calculate the length of this single shot.