# Working Backwards, Leaping Forwards

### Working backwards, leaping forwards

In mathematics lessons, you might be given a question and asked to work out the answer, but these problems are a little bit different! To solve them, you'll need to think about the relationships between functions and operations and their inverses, and work backwards in order to leap forward!

The last date for sending in solutions is Monday 13 May.

##### Age 7 to 14 Challenge Level:

What is the smallest number of answers you need to reveal in order to work out the missing headers?

##### Age 11 to 14 Challenge Level:

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

##### Age 11 to 14 Challenge Level:

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

##### Age 14 to 16 Challenge Level:

Can you find the hidden factors which multiply together to produce each quadratic expression?

##### Age 16 to 18 Challenge Level:

Can you match the charts of these functions to the charts of their integrals?

##### Age 16 to 18 Challenge Level:

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

##### Age 14 to 18 Challenge Level:

Learn how solving inverse problems can save lives in this article from Plus Magazine

.