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RatioShort answer · 2 marks

A school trip has 240 Primary 5 pupils and 360 Primary 6 pupils.

  1. Write the ratio of the number of Primary 5 pupils to the number of Primary 6 pupils in its simplest form.
  2. On another trip, the ratio of the number of Primary 5 pupils to the number of Primary 6 pupils is the same as in part (a). If there are 36 Primary 5 pupils, how many Primary 6 pupils are there?
Need a hint?

In part (a), find the largest number that divides both 240 and 360. In part (b), find how many pupils one part of the ratio stands for.

Worked answer

  1. (a) Divide both 240 and 360 by 120 to get 2 and 3.
  2. (a) The simplest form is 2 : 3.
  3. (b) 2 parts = 36 pupils, so 1 part = 36 ÷ 2 = 18 pupils.
  4. (b) Primary 6 pupils = 3 parts = 3 × 18 = 54 pupils.
Answer: 54 pupils

The mistake this question tests

Habit

Simplest form in final fraction answers

Leaving the ratio as 240 : 360, or dividing by only 10 to get 24 : 36, is not in simplest form because both terms still share a common factor.

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