WJEC GCSE Numeracy Unit 1: Non-calculator Intermediate June 2018 question paper 3310U30-1

Maxim is doing a project on shipping.

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

Complete the following statement.

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

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.

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

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

Dilys arrives at the bus stop in Bargwyn at 09:30. At what time is the next bus?

Circle your answer.

09:32 09:36 09:39 09:49 09:52

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.

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

Macy and Gareth are planning a bike ride.

They have a map with a scale of 1:50 000.

Gareth suggests a route that measures a total of 48 cm on the map.

Macy says she could cycle up to 13 miles. Will Macy be able to cycle the route Gareth is suggesting?

You must show all your working and give a reason for your answer.

The concrete base of Miss Morgan’s new bungalow is shown below.

The concrete base of Miss Morgan’s bungalow is 0.2 m thick.

Calculate the volume of the concrete base.

You must show all your working.

Volume of concrete is_{………........ ………….} m³

Mr Graham is building a garage.

Mr Graham orders of the maximum load of concrete for the base of his garage floor.

What is the total cost of Mr Graham’s order?

Total cost is £_{………........ ………….}

Olga took out a high-interest loan for £400. She paid back £49 per month for 20 months to clear the loan.

Calculate the total interest that Olga paid as a percentage of the original loan.

Sara is carrying out a survey of the three villages, Cwm, Allthir and Gwyndir.

The diagram below shows the positions of the three villages.

What is the bearing of Allthir from Gwyndir?

Circle your answer.

010° 170° 180° 190° 200°

What is the bearing of Cwm from Allthir?

Circle your answer.

028° 152° 242° 332° 352°

The area of the land covered by the three villages is 200 km². The total population of the three villages is 8400 people.

What is the population density of the three villages?

Give your answer in population/km².

The populations of Cwm, Allthir and Gwyndir are in the ratio 3: 4: 5.

Calculate the population of Gwyndir.

Kingsley invests £3000 in an account that pays 2% compound interest per annum. He does not make any further payments into his account. He does not withdraw any money from his account.

How much will Kingsley have in his account after two years?

Amount in Kingsley’s account after two years is £_........

Kingsley buys a portable Bluetooth speaker. The speaker has been reduced by 20% in a sale. He pays £72 for the speaker in the sale.

What was the original price of the speaker?

Original price of the speaker is £_........

Michelle owns a café.

She stacks coffee mugs as shown in the diagram below.

Michelle measures the height of each coffee mug as 12 cm, correct to the nearest centimetre Each stacked coffee mug creates 4 cm extra height, correct to the nearest centimetre.

Michelle knows that the vertical height between two shelves is exactly 39 cm, as shown below.

Can Michelle be certain that she will be able to place one stack of 7 coffee mugs between the two shelves? Give a reason for your answer.

You must show all your working.

Which is the modal group?

Circle your answer.

20 to 25 minutes 25 to 30 minutes 30 to 35 minutes

35 to 40 minutes 40 to 45 minutes

Is it certain that the last runner’s finish time was 45 minutes?

You must give a reason for your answer.

Yes No

The organisers hoped that 80% of the runners would finish the race within 30 minutes.

Complete the following two statements.

‘_........ % of runners finished the race within 30 minutes.’

‘80% of runners finished the race within_........ minutes.’

Last year, the median finish time was 26 minutes. By how many minutes was the median time better this year?

You must show all your working.

There are two entrances to a stadium, North Entrance and South Entrance.

At each entrance, 3000 people queued to pass through security. The length of time each of these people spent in the queue was recorded. The box-and-whisker diagrams show the results.

At the North Entrance, how many people had to queue for more than 44 minutes?

You must show all your working.

Number of people is_........

For the South Entrance, calculate an estimate of the number of people who had to queue there for between 40 and 60 minutes.

You must show all your working.

Number of people is_........