WJEC GCSE Numeracy Unit 1: Non-calculator Foundation November 2017 question paper 3310U10-1

Look at the coordinate grid below. It is a map of St Fagans National Museum of History.

Mr Jones visited St Fagans. He used the grid to find the places that he wanted to see.

What are the coordinates of the Timber Circle? This is shown as number 31 on the grid.

Mr Jones stopped at (6, 7) during his visit. Mark this position on the grid with a

cross (×).

Mr Jones and Bethan were standing outside the Sawmill (number 26). They were both facing the Tannery (number 27). Bethan asked Mr Jones for the directions to the Newbridge War Memorial (number 20). Complete the set of directions for the shortest route that Mr Jones could have given

Bethan.

Turn left from the Saw Mill.

Sian works for the packaging company BoxCymru.

When she started work she was given an employee number.

Her employee number is 11-17/314. This number shows that she started work in November 2017, and she was the 314^th person to start working for BoxCymru.

Kevin also works for the same company. His employee number is 02-15/047.

In which month and year did Kevin start working for BoxCymru?

Sian is the last person to have been employed by the company.

How many people have BoxCymru employed since Kevin joined the company?

Steven is the next person to be employed by BoxCymru after Sian. He is due to start working on 8^th January 2018.

What will Steven’s employee number be?

Many of the boxes that BoxCymru use are cuboids. Which of the following nets can be used to make the boxes?

Circle your answers.

He needs the carpenter, plumber and electrician to work together for 3 days in January.

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

Mr Rook will need to pay the carpenter, plumber and electrician for the 3 days’ work. The working day is from 8 a.m. to 5 p.m., with an hour off for lunch. Their charges are:

Calculate the total amount that Mr Rook has to pay.

You must show all your working.

The plumber uses a van for work.

The diagram below is a scale drawing of his van. The scale of the drawing is 1 cm represents 50 cm.

Find the actual length of the van in metres.

Sophia designs jewellery.

How many lengths of silver are needed for 3 links of the bracelet?

Circle your answer.

14 16 12 18 10

Sophia thinks that she needs 6 lengths of silver for each extra link.

Explain why Sophia is not correct.

Sophia uses 50 lengths of silver to make a bracelet.

How many links are there in this bracelet?

The atmosphere above the Earth’s surface is divided into different layers.

The graph shows the average temperature at different heights above sea level. It also shows the positions of the different layers of the atmosphere.

Use the graph to answer the following questions.

What is the approximate temperature 40 kilometres above sea level?

Circle your answer.

–30˚C 10˚C –22˚C –18˚C 130˚C

What is the approximate difference between the least and the greatest temperature shown

in the troposphere ?

Delyth makes birthday cakes. To make a rectangular cake, Delyth cuts a 20 cm square cake in half, and joins the two pieces together, as shown in the diagram below.

Delyth puts ribbon around the edge of her cakes as shown in the pictures above. How much more ribbon does Delyth need for the rectangular cake than for the square cake?

You must show all your working.

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

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.

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.

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.