Key Stage Wikispace ~ Half Termly Challenge ~

Key Stage Wikispace

Key Stage 3 - if you are studying years 7-9
Key Stage 4 - if you are studying GCSE
Key Stage 5 - if you are studying A level

Half Termly Challenge

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.

Junior 2013-14 Half Term 1.png


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
Intermediate 2013-14 Half Term 1.png

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?