GK 2019 Q13
13. Cathie folded a square sheet of paper in half twice and then cut it through the middle twice, as shown in the diagram, before unfolding it all. How many of the pieces that she obtained were squares?
- A 3
- B 4
- C 5
- D 6
- E 8

Grey Kangaroo 2019, Question 13. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: C 5
When Cathie cut the paper as described in the question, her cuts divided the original paper as shown in the diagram. It can then be seen that the five pieces shaded are squares.

Solution © UK Mathematics Trust, from the GK 2019 solutions.