Worksheets · Foundation and Higher

Linked representations and multistep reasoning

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

1. Question 1Non-calculator · 3 marks

   The mean of four numbers is 10. Three of the numbers are 7, 9 and 12.

   (a) Work out the fourth number. You must show your working. (3)
2. Question 2Non-calculator · 5 marks

   A garden centre sells 240 plants in one day. The ratio of shrubs to flowers sold is 1 : 3. Shrubs cost £10 each and flowers cost £5 each.

   (a) Work out the number of shrubs sold. (2)

   (b) Work out the percentage of the day’s takings that came from shrubs. (3)
3. Question 3Non-calculator · 5 marks

   A bag contains only red and blue counters in the ratio $3 : 5$. Four more red counters are added. Now the probability of taking a red counter is $\frac{1}{2}$.

   (a) Work out how many counters were in the bag at the start. (3)

   (b) Two counters are taken from the new bag without replacement. Work out the probability that both are red. (2)