We often do not make the most of our students' potential to create powerful mental images. This set of tasks is intended to challenge students to work with their own and others' mental images and record their visualisations in order to solve the problems.
The solutions may not be immediately obvious, but we hope the engaging contexts will encourage students to persevere.
The solutions may not be immediately obvious, but we hope the engaging contexts will encourage students to persevere.

problem
Frogs
How many moves does it take to swap over some red and blue frogs? Do you have a method?

problem
Ace, two, three...
Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

problem
Constructing triangles
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?