WJEC GCSE Numeracy Unit 1: Non-calculator Intermediate November 2016 question paper 3310U30-1

Marcus is a farmer.

He has his own conversion graph to change between acres and square yards.

Complete each of the following statements.

3 acres is equal to_........ square yards.

300 ml for 66p
400 ml for 92p
500 ml for £1.25

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

Roland is going to buy some orange juice for a party. Which size bottle of orange juice offers the best value for money?

You must show your working.

Galina needs to buy exactly 800 ml of orange juice. Which is the best option for Galina? You must show your working and consider all options.

You must give a reason for your choice.

For each question give one reason why it is not suitable.

The survey was carried out by leaving copies of the questionnaire on the DVD shelves in a supermarket.

Give one criticism of how the survey was carried out.

The map shows a part of Wales.

Write down the bearing of Welshpool from Newtown.

Name the place on the map that is on a bearing of 235° from Newtown.

The distance from Newtown to Welshpool is approximately 14 miles by road.

Estimate the distance by road from Welshpool to Llanfair Caereinion in miles.

Megan lives in Cemmaes Road. To travel to work, she starts by heading towards Machynlleth. Her journey to work is approximately 40 km.

Convert 40 km to miles.

In which town or village could Megan work?

A different map has a scale of 1: 10 000. Megan measures 3 cm on this map.

What distance does this represent in metres?

Students are taking tests in English and Welsh. The English test is marked out of 80. The Welsh test is marked out of 70.

Dyfed scores 35 in his English test. Estimate Dyfed’s score as a percentage.

Circle your answer.

4% 20% 23% 44% 51%

Liam scores 22 in his Welsh test. Estimate Liam’s score as a percentage.

Circle your answer.

Rowena states a hypothesis, ‘Boys do better than girls in their English tests.’

She displays the test marks for 5 girls and 5 boys in scatter diagrams.

Boys’ test results Mark in Welsh

Does the data support Rowena’s hypothesis?

You must give a reason for your answer.

How could Rowena improve the testing of her hypothesis?

Marcin has a market stall to sell his printed T-shirts.

It costs him: • £250 to buy 100 plain T-shirts, • 50p to print a design on each T-shirt. Marcin sells his printed T-shirts for £4.00 each.

At the start of the week: • His bank account balance is £820. • Marcin has 100 printed T-shirts ready to sell. • He has already paid for these printed T-shirts.

During the week: • Marcin sells his stock of 100 T-shirts. • He pays all the money he takes from selling T-shirts into his bank account. • He buys and prints another 400 T-shirts. • Marcin does not sell any of these 400 T-shirts.

How much will Marcin have in his bank account at the end of this week?

You must show all your working.

When it is 21:30 on a Tuesday in London, it is 02:30 on a Wednesday in Dhaka, Bangladesh.

It takes 10 hours 30 minutes to fly from Dhaka to London. A flight leaves Dhaka on Thursday at 13:00 local Dhaka time.

On what day and at what time should this flight arrive in London?

Give your answer in local London time.

Arrival in London:

The scale diagram opposite shows an Eisteddfod camping field.

The camping field is 100 metres long and 80 metres wide.

The scale used is 1 cm represents 10 metres.

A barbecue area is to be built on the camping field.

The barbecue area must be • nearer to the river than to the opening to the Eisteddfod camping field, • nearer to the river than to the hedge, • more than 30 metres from the corner of the field where the hedge meets the river.

Draw suitable lines on the diagram and shade the region where the barbecue area could be

built.

1 cm represents 10 metres

Lotty and Rafael decide to enter a prize draw. They agree to share any money they win in the ratio 2: 3 respectively. After winning a total of £2000, they think again and decide that Lotty’s share should be increased by 30%.

Rafael thinks that his share will be reduced by 30%.

Without any calculation, explain why Rafael’s thinking is incorrect.

Calculate the amount of money Lotty wins after the decision is made to increase

her share.

Find the ratio that is now used to share the money between Lotty and Rafael.

Express your answer in its simplest form.

Lotty’s winnings: Rafael’s winnings =_........ :_........

In another prize draw, it was planned to give £5000 as the first prize. To make it more popular, the organisers decide to increase this first prize by 26%.

The most efficient method of calculating the amount of the increased first prize is

The second prize was planned to be £3000, but it is now decided to decrease this prize by 6%.

Write down the most efficient method of calculating the amount of the decreased second prize.

You are not expected to work out the answer.

Luc wants this new desk for his bedroom.

The desk is to fit on the straight wall between his wardrobe and his bookcase.

Luc has measured the length of • the wall, which is 600 cm, correct to the nearest 10 cm, • the bookcase, which is 147 cm, correct to the nearest 1 cm, • the wardrobe, which is 250 cm, correct to the nearest 1 cm.

What is the greatest possible length of the wall?

Circle your answer.

600 cm 605 cm 645 cm 610 cm 650 cm

Can Luc be certain that this desk will fit in the space available?

You must • show all your calculations, • give the greatest or least bounds of any measurements used in calculations or comparisons,

• give a reason for your answer.

140 girls were asked how long they spent revising for their GCSE examinations. The cumulative frequency diagram shows the results.

Cumulative frequency

Estimate the median time the girls spent revising.

Circle your answer.

35 hours 40 hours 48 hours 52 hours 70 hours

Calculate the number of girls who spent between 40 and 50 hours revising.

Circle your answer.

0 girls 5 girls 10 girls 15 girls 20 girls

Circle either TRUE or FALSE for each of the following statements.

140 boys were asked how long they spent revising for their GCSE examinations. The cumulative frequency diagram below shows the results.

Cumulative frequency

Trefor makes two statements.

Are both Trefor’s statements correct?

Show calculations and give reasons to support your answers.

Statement 1:_........

Statement 2:_........

Petra is organising a prom for her year group. The number of people attending the prom is likely to be between 20 and 80.

The cost of holding the prom at Hotel Afonwen would be as follows. • Hire of the room: £100 • Food: £15 per person • Welcome drink on arrival: £3 per person • Decorations: £2 per person

Petra decides to share all the costs equally between the people attending.

• Let £P be the price paid per person. • Let N be the number of people attending the prom.

Write a formula for P, in terms of N.

Hiring a larger room at Hotel Afonwen costs £200. The cost per person for food, welcome drinks and decorations remains the same.

If the total cost is £2240, how many people attend?

The following box-and-whisker plots illustrate the daily rainfall for April 2016 in Trefwen and in Nawrby.

April rainfall in Trefwen

April rainfall in Nawrby

Iona is going on holiday next April. She is hoping for good weather, with hardly any rain. She decides to go to Nawrby. Give a reason to support Iona’s decision.

Include values for both Trefwen and Nawrby.