WJEC GCSE Numeracy Unit 2: Calculator-allowed Foundation November 2020 question paper 3310U20-1

It is said that, in 1823, a schoolboy called William Webb Ellis caught the ball during a game of football and ran with it. He created a new sport called rugby.

How many years ago did William Webb Ellis catch the ball?

The total number of points scored by a team in a rugby game can be calculated using the following formula.

At the end of the game, the team with the most points is the winner. Two schools, Ysgol Abergwyn and Ysgol Llanbro, played a rugby game. Ysgol Abergwyn scored 6 tries and kicked 4 conversions and 2 penalties. Ysgol Llanbro scored 7 tries and kicked 3 conversions, 1 penalty and 1 drop goal.

Using the formula above, calculate how many points each team scored.

Write down which team won the game and by how many points.

Ysgol Abergwyn scored_{………........ ………………………..} points

Ysgol Llanbro scored_{………........ ………………………..} points

Ysgol_{………........ ………………………..} won the game by_{………........ ………………………..} points

Mr and Mrs Jones and their two children, Tomos and Siân,

are planning a skiing holiday to Grenoble in France.

Mrs Jones has been looking at the average monthly temperatures of Grenoble.

In how many months is the average monthly temperature below 6°C?

Calculate the mean of the temperatures in the table.

A flight departs from Grenoble at 14:00 on Saturday, 2 January. How much does this flight cost for one person?

Circle your answer.

£11.84 £43.15 £66.38 £38.30 £63.22

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

Mr Jones books the flights for himself, his wife, Tomos and Siân. The flights to and from Grenoble will cost each person £122.73 in total. There are some additional charges for the luggage they will need to take. Mr Jones sees the information below on the airline website.

On both flights, the family wish to take: • four 26 kg bags, • one set of skis, • three snowboards.

What would be the total cost for the Jones family to fly to and from Grenoble, including these additional charges?

You must show all your working.

A large design is being painted on the floor of a playground.

The outline of the design is drawn to scale on a square grid. The scale of the drawing is 1 cm represents 1 m.

The design will be painted with special paint. Each tin of paint will cover 5 m² and costs £32.70. How many tins of paint will be needed to paint the design? How much will the paint cost?

You must show all your working.

Maldwyn sells flags, scarves and hats outside a stadium.

At the end of a football match, Maldwyn sells his remaining flags, scarves and hats at sale prices.

Calculate the sale price of a scarf.

Calculate the cost of buying two flags in the sale.

Before the sale, a hat cost £3.99. In the sale, the hat costs £2.66. By what fraction has the cost of the hat been reduced?

Circle your answer.

Which of the above options is the best value for money?

You must show all your working.

There are 34 pupils in class 10A. Dewi carried out a survey to find out how many of these pupils take part in swimming, running and judo. He displayed his results in a Venn diagram, as shown below.

How many of the pupils in class 10A take part in both judo and running?

Circle your answer.

1 8 4 3 21

How many of the pupils in class 10A take part in swimming?

Circle your answer.

9 4 14 3 21

How many of the pupils in class 10A do not take part in judo?

Circle your answer.

9 10 20 24 15

Calculate the percentage of the pupils in class 10A who do not take part in swimming, running or judo.

Give your answer correct to 1 decimal place.

1080 people were asked to choose their favourite vegetable. The pie chart shows the results.

How many people chose broccoli as their favourite vegetable?

You must show all your working.

How many more people chose carrots than chose sprouts as their favourite vegetable?

You must show all your working.

420 people selected peas as their favourite vegetable. They were asked which they preferred: fresh peas, frozen peas or tinned peas. Of these 420 people, said they preferred fresh peas. Twice as many people preferred frozen peas to tinned peas.

How many of these people preferred frozen peas?

Last year, Simone’s total income before tax was €30 000.

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

Show that Simone should have paid €900 tax at the basic rate.

You must show all your working.

Calculate Simone’s total tax bill last year.

You must show all your working.