# Working Backwards to Move Forwards

Working backwards is an important part of mathematical problem solving. In this feature, we share problems that encourage students to think about the relationships between processes and their inverses.

### Missing Multipliers

##### Age 7 to 14Challenge Level
What is the smallest number of answers you need to reveal in order to work out the missing headers?

### Number Pyramids

##### Age 11 to 14Challenge Level
Try entering different sets of numbers in the number pyramids. How does the total at the top change?

### More Number Pyramids

##### Age 11 to 14Challenge Level
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

### Finding Factors

##### Age 14 to 16Challenge Level
Can you find the hidden factors which multiply together to produce each quadratic expression?

### Integration Matcher

##### Age 16 to 18Challenge Level
Can you match the charts of these functions to the charts of their integrals?

### Function Pyramids

##### Age 16 to 18Challenge 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?