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!

Missing Multipliers
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?

Number Pyramids
Age 11 to 14
Challenge 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 14
Challenge Level

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

Finding Factors
Age 14 to 16
Challenge Level

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

Integration Matcher
Age 16 to 18
Challenge Level

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

Function Pyramids
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?

Inverse Problems Save the Day
Age 14 to 18
Challenge Level

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

Number and algebra

Geometry and measure

Probability and statistics

Working mathematically

Advanced mathematics

For younger learners

Working Backwards, Leaping Forwards