Understanding Inverse Relationships

Understanding inverse relationships

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 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?

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?

Integration Matcher 

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