WJEC GCSE Numeracy Unit 1: Non-calculator Foundation June 2018 question paper 3310U10-1

The following information was taken from the internet in 2017.

Highest temperatures recorded in the UK:

Lowest temperatures recorded in the UK:

Use the information above to answer the following questions.

What was the lowest temperature recorded in the UK in °C?

Using the values in the table, what is an approximate value for 40°C in °F?

Circle your answer.

80°F 95°F 100°F 105°F 120°F

Calculate the difference between the highest and lowest temperatures recorded in Wales

in °C.

Jane carried out a survey.

She asked 40 people to choose their favourite TV channel. Their answers are shown below.

Draw a vertical line diagram to display Jane’s data.

Use the square grid on the opposite page.

BBC1 BBC2 ITV 1 S4C Channel 5

TV channel

How can you check that you have included all of Jane’s data?

What is the modal TV channel?

A lighting company sells sets of lights in different sizes.

Some of the sets are shown below.

The pattern can be continued to make larger sets of lights.

How many light bulbs are needed to make Set 5?

Circle your answer.

9 10 11 12 13

Which set has 27 light bulbs?

A customer thinks that to find the number of bulbs that are in a set, you multiply the set number by 3. Is the customer correct?

Give a reason for your answer.

Janice needs to buy 6 litres of orange juice.

How much money would Janice save by buying the orange juice at Larkman’s

supermarket?

The diagram shows a sketch of the top part of a 1-litre carton. There is a circular hole cut out for the plastic lid.

What is the radius of the circular hole?

Give your answer in mm.

How much rent will Suzanna pay in October?

Maxim is doing a project on shipping.

He draws and uses his own conversion graph to convert between nautical miles and miles.

What is 50 nautical miles converted into miles?

Circle your answer.

.... 55 56 5 57 5 58 5 59 5

Complete the following statement.

800 nautical miles is equal to_{…………........ ………….} miles.

Mr and Mrs Blanc have 3 children, Valerie, Theo and Anton. The family is visiting Wales. Valerie and Theo are 14-year-old twins. Anton is 2 years old.

They visit Castell Gwynhir ruins and gardens.

A copy of the entrance board is shown below.

The family decides to pay the standard charges to visit Castell Gwynhir. How much change will they get from £20?

You must show all your working.

Theo looks at the charges with a 10% contribution towards improvements.

Theo says, ‘The adult charge with an extra 10% is not right. It is too high!’

By how much is the adult charge too high?

You must show all your working.

The gardens at Castell Gwynhir cover an area of 714 000 m². Water ponds cover of the area of the gardens.

Calculate the area covered by water ponds.

Area covered by water ponds is_{……………........ …………..} m²

The tables below show all of the international football results for Wales in 1984 and 1985.

1984

22 May 1984
Wales 1 – 1 Northern Ireland

1985

Geraint says, ‘On average, the Wales international football team scored more goals per match in 1985 than in 1984.’

In checking the truth of Geraint’s statement, why would it not be helpful to consider the

range of the number of goals scored per match in each year?

By considering the mean number of goals scored per match by Wales each year, is Geraint’s statement true?

You must show calculations for each year to support your answer.

Give one reason why this method does not necessarily show that the Wales

international football team results were better in 1985 than in 1984.

The towns of Aberglen, Bargwyn, Caerlow and Derwen are on Bus Route 3. The times buses take to travel between each of the towns are shown on the diagram below.

Buses start at Aberglen. All these buses travel to Derwen, stopping at Bargwyn and Caerlow.

Here is the bus timetable.

At what time does the 09:13 bus from Aberglen arrive at Derwen?

Circle your answer.

09:23 09:33 09:43 10:53 10:13

From Grainsey, the Number 6 bus runs to Wyndre and the Number 7 bus runs to

The timetable for these buses is given below:

After 10:00, when will the Number 6 bus and the Number 7 bus next leave Grainsey at the

same time?

Lekan’s parents have complained that they are paying too much towards his mobile phone bill each month.

Lekan decides to ask a number of students in school how much their parents or carers pay towards their mobile phone bills each month. He displays the results in a scatter diagram. These include his own results.

Lekan’s parents want to know the names of some of these students.

The two 15-year-old students are Harriet and Eleri. Eleri is older than Harriet.

Gwilym and Aled’s parents each pay £27.50 per month. Aled is younger than Gwilym.

21 21

Complete each of the following statements.

‘Eleri’s parents or carers pay £_{………........ ……….} each month towards her mobile phone bill.’

‘Harriet’s parents or carers pay £_{………........ ……….} each month towards her mobile phone bill.’

Complete each of the following statements.

‘Gwilym is_{………........ ….} years_{………........ ….} months old.’

‘Aled is_{………........ ….} years_{………........ ….} months old.’

Lekan’s parents pay £32.50 per month towards his mobile phone bill. He is the youngest of the 3 students who receive £32.50 per month towards their mobile phone bill.

How old is Lekan?

Do you think Lekan’s parents are right to complain that they are paying too much towards his mobile phone bill each month?

You must use the scatter diagram to give a reason for your answer.

Yes No

Sam is making a large pot of cheese sauce for a party.

Sam uses the conversions • 1 ounce ≈ 28 grams, • 1 pint ≈ 568 millilitres.

He wants to write the following recipe ingredients in grams and millilitres.

Using Sam’s conversions, complete the ingredient table below.

Ingredients:

_{………........ ……….} grams of butter

_{………........ ……….} grams of flour

_{………........ ……….} millilitres of milk

_{………........ ……….} grams of cheese