Bronze Challenge ~ Silver Challenge ~ Gold Challenge
Each half term there is a challenge question for pupils to try. If you are up for the challenge please submit your completed answer to your class teacher - this must show your mathematical reasoning behind your solution.

Bronze Challenge

Recommended for pupils in years 7-9

Half Term

Problem

Solution

1

The shape below is a part of a larger one made up of 2004 small squares that continue this pattern.

The small squares have sides of length 1cm. What is the length of the perimeter, in cm, of the whole shape?

Silver Challenge

Recommended for pupils in years 9-11

Half Term

Problem

Solution

1

In the above sum each letter stands for a different non-zero digit. What is the value of a + w + a + y?

Gold Challenge

Recommended for pupils in years 11-13

Half Term

Problem

Solution

1

The British Museum has a 6000m2 glass roof that is made up from 3312 panes of glass, which takes 2 weeks to clean. This job is undertaken once every two years. Assuming that the panes are made up from congruent equilateral triangles, how long is the side of each pane?

## Key Stage Wikispace

Key Stage 3 - if you are studying years 7-9Key Stage 4 - if you are studying GCSE

Key Stage 5 - if you are studying A level

## Half Termly Challenge

Bronze Challenge ~ Silver Challenge ~ Gold ChallengeEach half term there is a challenge question for pupils to try. If you are up for the challenge please submit your completed answer to your class teacher - this must show your mathematical reasoning behind your solution.

## Bronze Challenge

Recommended for pupils in years 7-9Half TermProblemSolutionthat continue this pattern.

The small squares have sides of length 1cm.

What is the length of the perimeter, in cm, of the whole shape?

## Silver Challenge

Recommended for pupils in years 9-11Half TermProblemSolutionIn the above sum each letter stands for a different non-zero digit.

What is the value of

a+w+a+y?## Gold Challenge

Recommended for pupils in years 11-13Half TermProblemSolutionwhich takes 2 weeks to clean. This job is undertaken once every two years.

Assuming that the panes are made up from congruent equilateral triangles,

how long is the side of each pane?