Copyright © University of Cambridge. All rights reserved.

'Doing and Undoing' printed from https://nrich.maths.org/

Show menu

Doing and Undoing printable sheet
 
Knotted rope
 
I wonder if you've ever used string or rope to make a knot, and then undone it afterwards. In this activity, we're going to look at undoing some maths that's been done.
 
To begin with, we're going to imagine taking a starting number and then doubling it. We want to undo the doubling by starting with just the answer and trying to get back to our starting number.

When I doubled my starting number, I got 6. How can I undo the doubling and get back to my starting number?
 
Suppose that I did this again with a new starting number, and when I doubled it I got 16. How can I undo the doubling?
 
How would you undo these three children's maths?

Danesh says:

"I took 4 away. How can I get back to my starting number?"

 

Meg says:

"I added 8. How can I get back to my starting number?"

 

Chris says:

"I halved. How can I get back to my starting number?"

 

If these children all ended up with the number 12, what were their starting numbers?