The corner shop has a sale on tins of paint. The diagram shows a price scale used in the shop window, with an arrow marking the new sale price of one tin, r...

Assessment: Mathematics Specification A 4MA1 | Paper 1 Mock 01 | Written Paper 1 (1F/1H) Subject: Mathematics Specification A - 4MA1

Question 1 Report

The corner shop has a sale on tins of paint. The diagram shows a price scale used in the shop window, with an arrow marking the new sale price of one tin, reduced from the original price of £9.00.

0246810Sale price (£)© EAGLE BEACON GLOBAL
  1. Write down the sale price of one tin of paint shown on the scale. (1)
  2. Work out the amount by which the price has been reduced. (1)
  3. Write the reduction as a fraction of the original price of £9.00, giving your answer as a decimal correct to 2 decimal places. (2)
  4. Give the sale price correct to the nearest pound. (1)

Answer Details

On a price scale marked at intervals of 2 units, the arrow's position gives the current price; a price reduction is the original price minus the sale price, and it can be expressed as a decimal fraction of the original by dividing.

  1. The scale runs from 0 to 10 in five equal sections, each split into two smaller divisions of £1. The arrow points midway between 6 and 8, at £6.75 (three small divisions past 6). [1]
  2. Subtracting the sale price from the original £9.00: \[£9.00 - £6.75 = £2.25\] [1]
  3. Dividing the reduction by the original price: \[£2.25 \div £9.00 = 0.25\] [2]
  4. £6.75 to the nearest pound rounds up, since the amount is more than halfway to £7: £7. [1]

Work out the value of one small scale division before reading the arrow's position; here each small mark is worth £1, since the gap from 0 to 2 is split into two divisions.

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