Priya's mother buys ingredients to bake a birthday cake at home. She spends £4.60 on flour and sugar, £3.25 on a box of eggs, and £5.90 on a tub of icing. W...

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

Question 1 Report

Priya's mother buys ingredients to bake a birthday cake at home. She spends £4.60 on flour and sugar, £3.25 on a box of eggs, and £5.90 on a tub of icing.

  1. Work out the total amount spent on ingredients for the cake. (2)
  2. She also buys candles for £1.35. Find the new total including the candles. (1)
  3. Give the new total correct to the nearest pound. (1)
  4. Find the cost of the icing as a fraction of the total spent on ingredients before the candles, correct to 2 decimal places. (1)

Answer Details

This question checks that decimal amounts of money can be added, increased, rounded to the nearest whole unit, and used to form a proportion, all while keeping the figures in pounds and pence consistent throughout.

  1. Add the three amounts spent before the candles: \(£4.60 + £3.25 + £5.90 = £13.75\). [2]
  2. Add the candles to this running total: \(£13.75 + £1.35 = £15.10\). [1]
  3. Rounding £15.10 to the nearest pound means looking at the pence figure, 10p. Since \(10 < 50\), the amount rounds down to £15. [1]
  4. The icing cost as a fraction of the £13.75 spent before the candles is \(\dfrac{5.90}{13.75} = 0.42909\ldots\), which to 2 decimal places is \(0.43\). [1]

The skill running through all four parts is treating money exactly like any other decimal: add and divide the raw figures first, and apply whichever rounding instruction is asked for only at the final step, never partway through a running total.

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