WJEC GCSE Numeracy Unit 2: Calculator-allowed Higher November 2017 question paper 3310U60-1

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.

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 £_{……........ ………}

The diagram below shows the locations of the ports of Lindat, Molk and Nuir.

Lindat is due south of Nuir, and Nuir is due west of Molk.

Agnetha lives in Molk. She travels from Molk to Lindat by ship.

• Lindat is 24 km due south of Nuir. • The ship sails directly to Lindat on a bearing of 211°. • The ship has an average speed of 20 km/h. • The ship leaves at 11:45 a.m.

Calculate Agnetha’s arrival time in Lindat.

Iestyn opened a savings account on 1 August 2017, investing £2800.

On 1 October 2017, he viewed his savings account online. The table below shows all the transactions that had taken place since he opened the account.

Calculate the nominal interest rate per annum.

Calculate the AER the account was paying.

Give your answer as a percentage, correct to 2 decimal places.

A baker makes cake slices to sell in her shop.

All of the cake slices are identical. They have been cut from a cylindrical cake of radius 10 cm and depth 4 cm. Piped icing is placed on the curved surface of each cake slice, as shown in the diagram. It connects opposite vertices of this curved surface, and follows the shortest path between these vertices.

What length of piped icing will be needed to decorate all the slices that make up a whole

cylindrical cake?

An engineering company employs 85 staff.

The company plans to carry out a survey on staff health. It will conduct the survey using a sample of 15 of its staff, stratified by job type.

50 engineers are employed by the company. Use the following extract from a table of random digits to choose 9 engineers for the sample. You must start with the first number in the list.

Describe clearly how you are using the numbers to select the sample.

29974 55479 07248 33999 17038 02475 49979 01218

The engineering company has a storage building, as shown below. The building is in the form of half a cylinder, with half a hemisphere attached at one end.

The company needs to paint all the exterior surfaces of the building, including the doors.

The measurements on the diagram are given correct to the nearest metre. The paint comes in tins that cover an area of 40 m², correct to the nearest m².

Calculate the smallest number of tins that would guarantee having enough paint to cover

these exterior surfaces.