WJEC GCSE Numeracy Unit 1: Non-calculator Intermediate November 2017 question paper 3310U30-1

How much was spent on the rest of the harbour development in Rhyl?

Circle your answer.

£55 000 £550 000 £5 500 000 £55 000 000 £550 000 000

A newspaper at the time said, ‘Pont y Ddraig provides the final link in 15 miles of traffic-free cycling across Conwy and Denbighshire.’

Write 15 miles in kilometres.

The height of the mast on the bridge is 148 feet.

Using the conversion 1 foot = 30 cm, calculate the height of the mast in metres.

Aled needs 6 lemons to make lemon cakes for a birthday party.

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

Aled only has time to go to one supermarket.

Calculate how much Aled would pay in each of the supermarkets. In which supermarket will he be able to get the lemons he needs for the least amount of money?

You must show all your working.

Aled can use any left over lemons to make muffins.

Which supermarket gives the best value for money?

Give a reason for your answer.

Mehmet needs a new fence for one end of his garden.

Fences are constructed using panels and posts.

Posts are needed between each fence panel and at both ends. How many posts are needed for a fence made with 34 panels?

Circle your answer.

33 35 37 34 36

It costs 2p to paint each 100 cm² of a fence post.

How much will it cost to paint the 4 vertical sides of 1 fence post?

A number of paths are to be laid to join three new office buildings. A sketch of the architect’s plan is shown below.

The architect has shown a number of the angles in his planning for the new paths.

Calculate the size of each of the angles a, b, c and d.

Ffion thinks that the taller you are, the greater your waist measurement will be.

She recorded the height and waist measurements, in centimetres, for 6 people.

Draw a scatter diagram to display these measurements.

Use the graph paper below.

Give one reason why using this scatter graph to estimate the waist measurement of other

people is unlikely to give reliable results.

Truetool is a tool hire company.

Sara hires a cement mixer for 5 days and a jet washer for 7 days from Truetool.

How much change would she get from £200?

Geraint hired a cement mixer for a number of days. Lois hired a jet washer for the same number of days. They each paid the same amount of money. For how many days did they each hire these tools from Truetool?

You must show all your working.

The diagram below shows a sketch of the existing gas pipes that run to and from T Gwyn.

It also shows a proposed 180 m gas pipe which is to be laid to provide gas to Cae Nia. The proposed pipe bisects the angle formed by the existing pipes at T Gwyn.

Complete the scale drawing below to show the proposed pipe. • You must use a pair of compasses to construct the angle bisector.

• Use a scale of 1 cm to represent 20 metres.

Which school and year group has an approximately equal split between the 3 categories: • pupils who cycle to school, • pupils who would like to cycle to school, and

• other pupils?

School:_........ Year Group:_........

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

In January 2011, there were 1200 miles of National Cycle Network (NCN) routes in Wales. In January 2016, there were 1400 miles of NCN routes in Wales.

If the number of miles of NCN routes in Wales were to continue to increase by the same number of miles per year, how many miles of cycle routes would there be in

January 2018?

Why is your answer in (i) unlikely to be an accurate estimate of the number of miles

of NCN routes in Wales in January 2018?

Why does the graph not pass through (0, 0)?

What is the increase in the daily running costs for each additional dog that is kept in the

kennels?

Freda also runs a dog kennels. The cost of keeping 20 dogs in her kennels for one day is £130. She knows that as the number of dogs increases, the overall cost increases at the same rate as in William’s kennels.

Display this information on the graph paper opposite.

Find the cost of keeping 30 dogs for one day in Freda’s kennels.

Meirion is a window cleaner. From Monday to Friday, he records how long he spends cleaning windows for each of his customers.

He draws a cumulative frequency diagram to display the findings.

Use Meirion’s cumulative frequency diagram to find the median and interquartile

range of the times he spends cleaning windows for each of his customers.

Interquartile range_........ minutes

Meirion looks back at his raw data. He finds that the median is actually 17 minutes 30 seconds. Why is there a difference between the median from his cumulative frequency

diagram and the actual median from his raw data?

Meirion is looking at the time it took to clean individual customers’ windows. Find the number of customers whose windows took between 10 and 15 minutes to clean.

Meirion thinks that for approximately 80% of his customers, he cleaned their windows in less than 20 minutes. Is Meirion correct?

You must show all your working.

On 1 August 2017, the charge per unit for electricity was increased by 5%. What is the increased cost per unit of electricity?

Circle your answer.

20.5p 21p 21.5p 22p 22.5p

Megan wants to calculate her next 3-monthly electricity bill. She knows the following: • Her meter reading on 31 October 2017 was 14400. • The charge per unit for electricity has increased by 5% since her last bill. • The standing charge has increased by 20p per month since her last bill. • VAT remains at 5%. On 31 October 2017, Megan had £470 in her bank account. After paying her next 3-monthly electricity bill, will Megan be able to buy a new washing machine costing £330?

You must show all your working.

Complete each of the following statements.

‘Apples from the_........ apple tree have the least median width.

The median width of apples recorded for this tree is_........ mm.’

‘The range of the widths of apples recorded for the Gala apple tree

is_........ mm.’

‘The_........ apple tree has apples with the greatest interquartile range of widths.

The interquartile range of the widths of apples recorded for this tree

is_........ mm.’

Which tree has a higher proportion of larger apples?

You must give a reason for your answer.

Emlyn has a photograph that he wants to enlarge.

A diagram of the original photograph and a diagram of the enlargement are shown below.

Calculate the height of the enlarged photograph.