Your Solutions - Stage 4 & 5

Tens

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

When is $7^n + 3^n$ a multiple of 10? Can you prove the result by two different methods?

Giants

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

Rhombuses from Diagonals

Stage: 3 and 4

Take a look at the video showing rhombuses and their diagonals...

Getting Round the City

Stage: 3 and 4

In a city with a grid system of roads, how do you get from A to B?

Quadrilaterals in a Square

Stage: 4 Challenge Level: Challenge Level:1

What's special about the area of quadrilaterals drawn in a square?

Garden Shed

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you minimise the amount of wood needed to build the roof of my garden shed?