List

Resilience and the Growth Zone

In this feature, we have chosen problems designed to promote a positive attitude to challenging mathematical situations. The article, Getting into and Staying in the Growth Zone is packed with information and advice on helping your students become less anxious and more resilient.

Number Lines in Disguise
problem
Favourite

Number Lines in Disguise

Age
7 to 14
Challenge level
filled star filled star empty star
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Shopping Basket
problem
Favourite

Shopping Basket

Age
11 to 16
Challenge level
filled star filled star filled star
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
Same length
problem
Favourite

Same length

Age
11 to 16
Challenge level
filled star filled star empty star
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Impossible Picture?
problem

Impossible Picture?

Age
14 to 16
Challenge level
filled star filled star empty star
Under what circumstances can you rearrange a big square to make three smaller squares?
Iff
problem
Favourite

Iff

Age
14 to 18
Challenge level
filled star filled star empty star
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?