WJEC GCSE Numeracy Unit 2: Calculator-allowed Intermediate November 2017 question paper 3310U40-1

Rhys buys some raspberries and some pears. Rhys weighs the fruit he buys. The raspberries cost him £4.50.

Calculate the mass of the raspberries Rhys buys.

In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing. He finds that the mass of the pears is three times the mass of the raspberries. How much change does Rhys get from £20 when buying the raspberries and pears?

You must show all your working.

The Headteacher of Ysgol Maes Newydd gave option forms to all Year 9 pupils.

The form asked which foreign languages the pupils would like to study in Year 10.

There were 4 languages listed on the form: French, German, Spanish and Mandarin. The pupils could select as many of the languages as they wished. All pupils completed and returned the option form.

The Headteacher displayed the results in a Venn diagram, as shown below.

How many pupils did not select at least one of the four languages?

Circle your answer.

0 1 3 5 7

How many pupils are there in Year 9?

Circle your answer.

92 94 96 98 100

How many pupils selected only one language?

Which was the most popular language selected?

You must show all your working.

The Headteacher can offer only 2 out of these 4 languages in Year 10. She writes the timetable so that as many as possible of the pupils who chose 2 languages are able to study those 2 languages. Which two languages will the Headteacher offer in Year 10?

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

Lloyd has carried out a survey in his school.

He surveyed 300 pupils. Below is a section from his questionnaire.

1. Which year group are you in?_{……........ ……}

2. Do you like the colours of the school uniform?_{……........ ……}

3. What is your favourite colour?_{……........ ……}

Afterwards, Lloyd thinks he should have given option boxes in questions 1 and 2.

What could these option boxes be?

Question 1:

Question 2:

A pie chart displaying the results from question 3 of the questionnaire is shown below.

Which colour was chosen by 75 pupils as their favourite colour?

Circle your answer.

Black Red Blue Yellow Other

What fraction of the pupils said that blue was their favourite colour?

Give your answer in its simplest form.

The first 40 miles of a journey took 1 hour 15 minutes. The remaining 80 miles were completed in 2 hours 15 minutes.

Calculate the average speed, in mph, of the 120-mile journey.

A newspaper report claimed the following:

• 12% of the world population is left-handed. • Twice as many men as women are left-handed. • 30% of the world population is mixed-handed. Mixed-handed people prefer to use the left hand for some tasks and the right hand for others. • It is very rare to be ambidextrous, that is being able to do all tasks equally well with either hand.

In 2011, Wales had a population of 3 063 000. In 2014, Wales had a population of 3 092 000.

Calculate the number of left-handed people living in Wales in 2011.

State what assumption you have made.

Assumption:

In 2011, Wales had a population of 3 063 000. 1 559 000 of these people were women.

In 2011, what percentage of the population of Wales were men?

Give your answer correct to 1 decimal place.

How many mixed-handed people do you think were living in Wales in 2014? You must show your working.

Give your answer to the nearest 1000 people.

A country of 6 million people meets all the claims given in the newspaper report. 8% of the women in this country are left-handed.

There are 3 million men living in this country.

How many left-handed men would you expect there to be in this country?

Alptai is a ski resort. The daily snowfall for January is given in the table below.

Daily snowfall, s (cm)	Number of days
0 s 5	10
5 s 10	16
10 s 20	4
20 s 30	0
30 s 50	1

Calculate an estimate for the mean daily snowfall for the 31 days of January.

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

For the 28 days of February, the mean daily snowfall in Alptai was 9 cm. On 1st February, the snowfall recorded in Alptai was 63 cm.

Calculate the mean daily snowfall for the 27-day period 2nd to 28th February.

What is her percentage profit? Give your answer correct to 2 significant figures.

You must show all your working.

Rowena’s percentage profit when selling all 40 pairs of socks is_{…........ …….} %, correct to 2 significant figures.

Calculate the length of GH.

The flowerbed, GHD, is to have a flexible edging strip placed around its perimeter. The edging strip costs £3.50 per metre and can only be bought in strips of complete metres.

• How much will the edging strip cost Bethan?

• What length of strip will be left over?

Give your answer in centimetres.

Cost £_{……........ ………}