## Counting trampolines

 Difficulty: Rating: GCSE Marks: GCSE Text:
At a trampoline park, there are 84 trampolines in total.  One quarter of them are rectangular, two thirds of them are square, and the rest are triangular.

a)  How many rectangular trampolines are there?

b)  How many square trampolines are there?

c)  How many triangular trampolines are there?

Suggestions:
A simple problem where students needs to calculate fractions of amounts. Whilst most can find a quarter of a number, some students may find ‘one’ third first and then double it, whilst others perform a fraction multiplication by putting the 84 ‘over 1’. Either method works.

Extension Ideas:
Teachers could extend the learning by considering:

• Proving the ‘rest are triangular’ by performing fraction arithmetic on the other two given fractions. This will introduce/revise making a common denominator, and subtracting the answer from 1.
• If the trampoline park wanted to swap 12 of it’s square trampolines for round ones (the total staying as 84), express the number of round trampolines out of the total as a fraction in it’s simplest form.