WJEC GCSE Numeracy Unit 1: Non-calculator Intermediate June 2022 question paper 3310U30-1

Castell Car Park

£3 for the first 2 hours, or part of the first 2 hours

AND after that

40p for every further 20 minutes, or part of each 20 minutes

Maximum stay is 24 hours

Dewi parks his car in Castell Car Park. He parks for 2 hours 30 minutes. How much should Dewi pay?

Circle your answer.

£3.60 £3.40 £3.20 £3.80 £6.00

Elin paid £5.80 to park her car in Castell Car Park. What is the maximum length of time that Elin has paid for? Give your answer in hours and minutes.

You must show all your working.

Maximum length of time is_{……........ …….} hours_{……........ …….} minutes

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

During the first 10 days of April, the mean daily rainfall in Gwentre was 1.8 cm. On 11th April, the rainfall in Gwentre was 4 cm.

By finding the total rainfall for the first 10 days of April, calculate the mean daily rainfall for the first 11 days of April.

You must show all your working.

You must show all your working.

Rodney records how much energy, in calories, different energy bars provide.

Each energy bar has a mass of 35 g.

Rodney draws a frequency diagram to display his findings. He uses groups of width 10 calories:

100 energy 110, 110 energy 120,........, 140 energy 150

Frequency

Which is the modal group?

What fraction of the energy bars provide less than 130 calories?

Consider only the energy bars providing 130 calories or more.

What percentage of these energy bars provide 140 calories or more?

Evans Grocery sells bags of frozen peas.

The pie chart shows information about the number of bags of frozen peas that were sold last month.

A total of 720 bags of frozen peas were sold last month.

Calculate the total cost of the sales of the frozen peas.

Which of the two sizes of bags of peas offers the better value for money?

You must show all your working.

Waintram Housing has a plan for building some new houses. The plan below shows the layout of the drains for some of the houses. Some of the angles still need to be found.

Find the size of each of the angles a, b and c.

Myra recorded the wingspan and mass of a number of birds.

Her results are shown in the scatter diagram below.

The wingspan of one of the birds shown in the scatter diagram is 31 cm.

What is the mass of this bird?

Two of the birds shown in the scatter diagram have a mass of 5 g.

What is the difference between the wingspans of these two birds?

Difference between the wingspans is_........ cm

Use 30 cm ≈ 12 inches to answer this question. Find the wingspan of the bird with a mass of 8.5 g.

Give your answer in inches.

Wingspan is_........ inches

What type of correlation does this scatter diagram show?

Use the scatter diagram to estimate the wingspan of a bird with a mass of 12 g.

People travel by bus or by train from Hiraddug Station.

On Tuesday, 420 people travelled by bus from the station.

Of the 420 people who travelled by bus from the station, 35% had a travel pass. Calculate the number of people who travelled by bus and did not have a travel pass. [3]

On Tuesday, the ratio of the number of people travelling by bus to the number of people travelling by train was 20: 17.

Calculate the number of people who travelled by train from the station on Tuesday.

Gwyn wants to buy the least possible number of boxes so that, in making up the packs, he uses all of the nuts, bolts and washers he has bought.

Complete the table below to show the number of boxes of each item that Gwyn needs to buy.

You must show all your working.

Each washer has a thickness of 2 mm, correct to the nearest 0.5 mm.

Calculate the greatest possible thickness of a stack of 6 washers.

The surface area of the Earth is 510 million km². 10.

Write this area in standard form.

OrenVit is a company that produces bottles of orange juice.

The company uses only bottles with a capacity of one litre. Each day, the cost of producing bottles of orange juice is as follows:

Draw a graph to show the total daily cost of producing between 0 and 100 bottles of orange juice.

Use the graph paper below.

One day, OrenVit produces 1750 pints of orange juice in one-litre bottles.

Calculate the cost of producing this quantity of orange juice.

Diagram not

The sticker below is mathematically similar to the first sticker. It is an enlargement of the first sticker, with scale factor 4. This water is hot Diagram not drawn to scale

Calculate the length and the width of the larger sticker.

You must show all your working.

Use the cumulative frequency diagram to give the best estimates for the answers to the following questions.

What is the median length of these ray fish?

How many of these ray fish have lengths greater than 72 cm?

Draw a box-and-whisker plot of this data on the grid below.

How many of the sample of 60 guppies have a length greater than or equal to

2. 4 cm?

Calculate the mass of the carp in November 2021.