This activity is designed to be accessible to primary school pupils at Key Stage 2.

Detailed teachers' notes for this activity are available on our NRICH website.



Jumping

Stage: 2 Challenge Level: Challenge Level:1

long

Ben is hoping to enter the long jump at his school sports day.  
One day I saw him manage quite a good jump.
However, after practising several days a week he finds that he can jump half as far again as he did before.
This last jump was $3.75$ metres long.
So how long was the first jump that I saw?
 
 high

Now Mia has been practising for the high jump.
I saw that she managed a fairly good jump, but after training hard, she managed to jump half as high again as she did before.
This last jump was $1.20$ metres.
So how high was the first jump that I saw?
 
How did you work these out?
Can you find any other ways of finding a solution?
Which way do you prefer?  Why?  

Further information

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Detailed teachers' notes for this activity are available on our NRICH website, where you can also find thousands more mathematical resources including problems, investigations and games for all ages from 5 to 19..