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Frogs
ACE, TWO, THREE...
Constructing Triangles
Attractive Tablecloths
Working with Mental Images
Working with Mental Images
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.
Frogs Age 11 to 14Challenge Level 
Age 11 to 14
Challenge Level
This problem requires students to visualise, work systematically, and develop good representations.
ACE, TWO, THREE... Age 11 to 14Challenge Level
Age 11 to 14
Challenge Level
The engaging nature of this trick means that students are often prepared to persevere on this task. It may offer a chance to nurture a sense of resilience amongst your students.
Constructing Triangles Age 11 to 14Challenge Level
Age 11 to 14
Challenge Level
As well as offering students practice in constructing triangles, this problem leads to geometrical insights into the triangle inequality.
Attractive Tablecloths Age 14 to 16Challenge Level
Age 14 to 16
Challenge Level
This problem encourages students to look at the structure of several symmetric patterns and explain how to generate rules for finding the number of colours required.