Worksheets · Foundation and Higher

Fractions within ratio problems

3 exam-style questions. Answers and the mark for each step are on the last page.

Question 1Non-calculator · 2 marks
(a) Express 18 minutes as a fraction of 45 minutes. Give your answer in its simplest form. (2)
Question 2Non-calculator · 5 marks
A box contains black and white tiles in the ratio 4:7. Three eighths of the black tiles are patterned. None of the white tiles is patterned.
(a) Find the fraction of all the tiles that is patterned. (3)
(b) There are 18 patterned tiles. Find the total number of tiles. (2)
Question 3Non-calculator · 1 mark
(a) Two pots contain beads in the ratio A : B = 5 : 3. Some beads are moved from A to B so that both pots contain the same number. What fraction of the beads originally in A were moved? Select one answer. (1)
1. 1/8
2. 2/5
3. 1/4
4. 1/5

Answers and marks

(a) $\frac{2}{5}$

(a) $\frac{3}{22}$

(b) $132$

(a) 1/5

Fractions within ratio problems

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