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RatioStructured · 4 marks

On Monday, a kite workshop used 45 sheets of green paper and 75 sheets of blue paper to make kites.

  1. Write the ratio of the number of green sheets to the number of blue sheets in its simplest form. [1]
  2. On Tuesday, the workshop used 27 green sheets, and the same ratio of green to blue sheets was kept. How many blue sheets were used? [1]
  3. On Wednesday, the workshop used 160 sheets of paper altogether, and the ratio of green to blue sheets was again the same. How many green sheets were used? [2]
Need a hint?

For (a), find a number that divides both 45 and 75. For (c), first find the total number of parts before dividing 160.

Worked answer

  1. (a) 45 : 75; divide both by 15 to get 3 : 5.
  2. (b) 27 green ÷ 3 = 9, so 1 part is 9 sheets; blue = 9 × 5 = 45 sheets.
  3. (c) Total parts = 3 + 5 = 8; 160 ÷ 8 = 20 sheets per part.
  4. (c) Green sheets = 3 × 20 = 60 sheets.
Answer: 60 sheets

The mistake this question tests

Habit

Simplest form in final fraction answers

Pupils often divide only one number, or use the total ratio parts without adding them first, which gives a wrong number of sheets in part (c).

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