Worksheets · Foundation and Higher

Similar figures and length ratios

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

1. Question 1Non-calculator · 2 marks

   Rectangle $A$ is 4 cm by 6 cm. Rectangle $B$ is similar to rectangle $A$. The shorter side of $B$ is 10 cm.

   (a) Work out the length of the longer side of rectangle $B$. (2)
2. Question 2Non-calculator · 4 marks

   A photograph is enlarged without changing its proportions. Its width changes from 5 cm to 8 cm and the new height is 32 cm.

   (a) Find the original height. (2)

   (b) Find the perimeter of the original photograph. (2)
3. Question 3Non-calculator · 4 marks

   Rectangle A is 3 cm by 7 cm. Rectangle B is similar to rectangle A and has perimeter 60 cm.

   (a) Find the scale factor from A to B. (2)

   (b) Find the length of the longer side of B. (2)