Worksheets · Foundation and Higher

Ratio notation and multiplicative comparison

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

1. Question 1Non-calculator · 2 marks

   (a) A cable is 2.5 times as long as a ribbon. The ribbon is 12 cm long. Work out the length of the cable. (2)
2. Question 2Non-calculator · 4 marks

   A paint mix uses 300 ml blue and 0.375 litres white.

   (a) Write blue : white in its simplest form. (2)

   (b) Express the blue paint as a fraction of the whole mix. (2)
3. Question 3Non-calculator · 4 marks

   $a$, $b$ and $c$ are positive quantities. $a : b = 2 : 3$ and $b : c = 4 : 5$.

   (a) Find the ratio $a : c$. Give your answer in its simplest form. (2)

   (b) $a + b + c = 175$. Work out the value of $c$. (2)