# Exam-style Questions: Approximations

1. Graham has a plank of wood of length 610cm, correct to the nearest 10cm. He uses a cutting machine to cut the plank into pieces, without any wastage. Each piece of wood is of length 15 cm, correct to the nearest half centimetre.

Find the maximum number of pieces of wood that Graham can be certain of getting.

(Marks available: 3)

Answer outline and marking scheme for question: 1

605 ÷ 15.25 = 39 or

605 ÷ 15.249 recurring = 40

(Total = 3 marks)

2. a) The diagram shows a goalkeeper standing between goal posts. Estimate the height, in metres, of a goal post. (1 mark)

b) The length of a football pitch is 95 metres.

(i) Write this length in centimetres.

(1 mark)

(ii) By how many metres is the length of the football pitch less than one tenth of a kilometre?

(2 marks)

(iii) 1 yard = 0.9144 metres

Work out the length of the football pitch in yards.

(2 marks)

c) The transfer fee for a footballer was £2,300,000

(i) Round this figure to the nearest million.

(1 mark)

(ii) Round this figure to the nearest half million.

(1 mark)

(Marks available: 8)

Answer outline and marking scheme for question: 2

a) The height is between or equal to 2 and 3 metres.

b) (i) 9500cm

(ii) 5m

(iii) 104, 103.9 or 103.89 yards.

c) (i) 2,000,000 or 2m

(ii) 2,500,000 or 2.5m

(Total = 8 marks) 