WJEC GCSE Numeracy Unit 2: Calculator-allowed Intermediate November 2022 question paper 3310U40-1

The new lifeboat cost £2.2 million.

How much of the cost of this lifeboat was funded from government sources?

Write your answer in figures only.

1800 medals were awarded to RNLI crew members in recent years. The distribution of the medals is shown accurately in the pie chart below.

What fraction of the medals awarded were bronze?

Circle your answer.

How many gold medals were awarded?

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.

Iwan recorded his gas usage for a week. His meter reading was 21 345 kWh at the start of the week. His meter reading was 21 640 kWh at the end of the week.

Gas costs 7.2p per kWh. VAT at 5% is payable on the cost of any gas used.

Calculate the total cost of Iwan’s gas for the week.

You must show all your working.

For the first 7 days of October, the mean daily outside temperature at midday where Iwan lives was 13·2°C. The temperatures at midday for the next 2 days of October were 12·2°C and 12·4°C.

Calculate the total of the temperatures for the first 7 days. Hence, calculate the mean midday temperature for the first 9 days of October.

You must show all your working.

The mean midday temperature for the first 9 days of October was_{……........ ………………..} °C

The plan of the streets where Iwan lives is shown below.

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

The frequency diagrams below show the lengths of time that men and women spent training in the gym on Friday.

Time spent training – Men

Time spent training – Women

Freddie says he spent exactly 1 hour 25 minutes training in the gym on Friday.

Explain how you know that Freddie is not telling the truth.

How many men spent less than 20 minutes training in the gym on Friday?

Circle your answer.

12 14 54 6 20

How many women spent less than 40 minutes training in the gym on Friday?

Circle your answer.

14 26 34 38 76

Lena flew from Havana Airport in Cuba to Gatwick Airport in the UK.

She then drove home from Gatwick Airport.

When it is 09:40 in Havana, it is 14:40 on the same day in Gatwick.

It took 9 hours 15 minutes to fly from Havana to Gatwick. Lena’s flight left Havana on Monday at 17:40 local Havana time.

On what day and at what time did this flight arrive in Gatwick?

Give your answer in UK time.

Lena lives 80 miles from Gatwick Airport. The first 20 miles of Lena’s journey home from the airport took 1 hour. The average speed for the remaining 60 miles of her journey was 40 mph.

Calculate the time taken for the remaining part of her journey.

Calculate the average speed, in mph, of Lena’s 80-mile journey home from the

airport.

Average speed_........ mph

Last year, Viktor’s total income before tax was 28 000 euros.

The tax bands, taxable income and tax rates for last year were as follows:

Viktor has already paid 3600 euros towards his income tax bill for last year. Calculate how much income tax Viktor still owes.

You must show all your working.

When Viktor paid 3600 euros towards his bill, the exchange rate was £1 = 1.11 euros. How much was 3600 euros in pounds?

Give your answer correct to the nearest penny.

Delyth and Ronnie are both students at the local college.

Their houses and the college are all joined by straight roads, as shown in the diagram.

Delyth usually walks directly to college. Calculate how much further Delyth has to walk if she passes Ronnie’s house on her way

to college.

35 students were asked how far they travelled to the college. The results are recorded in the table below.

Distance, d (metres)	Frequency
100 d 200	9
200 d 1000	10
1000 d 3000	15
3000 d 7000	1

Calculate an estimate of the mean distance these 35 students travelled to the

college.

Estimate of the mean distance travelled by these 35 students is_........ m

There are 140 students who travel by bus to and from college.

Delyth wants to find out why these students do not walk to college. She has decided to use a systematic sampling method to select 7 of these students to form a discussion group.

The names of all the 140 students are in a list. Delyth has randomly selected the 2nd student in the list to join the discussion group.

Complete the table below to give the positions in the list of the 7 students selected to

join the discussion group.

You must show all your working.

Matteo’s car insurance has increased by 25% from the amount he paid last year. His car insurance is £750 this year.

Calculate the amount Matteo paid for his car insurance last year.

Matteo paid £_........ for his car insurance last year.

The diagram below shows the front of Matteo’s garage.

Calculate the width of Matteo’s garage.

The area of Barbados is 432 km². The population of Barbados in September 2019 was 287 106.

Calculate the population density of Barbados in September 2019.

Give your answer correct to 2 significant figures.

The density of some of the sand in Barbados is 1442 kg/m³.

Express this density in g/cm³.