Finding All Solutions

These problems invite students to find all possible solutions. One of the best answers to "How do you know you have found them all" is to be able to say "I worked systematically!"

Shady Symmetry

Stage: 3 Challenge Level: Challenge Level:1

This problem is a good activity for the visualisation of symmetry, and for encouraging students to work systematically.

Isosceles Triangles

Stage: 3 Challenge Level: Challenge Level:1

This problem encourages students to use coordinates, area and isosceles triangles to solve a non-standard problem. To find all possible solutions they will need to work systematically.

M, M and M

Stage: 3 Challenge Level: Challenge Level:1

This problem offers the students an opportunity to consolidate what they are expected to know about mean, mode and median whilst also challenging them to work systematically, and justify their reasoning

Peaches Today, Peaches Tomorrow....

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

This problem could replace repetitive textbook work on calculating fractions of integers. It offers plenty of practice of these calculations while requiring students to come up with problem-solving strategies.