Your Solutions - Stage 3 & 4

Shear Magic

Age 11 to 14 Challenge Level:

Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

Triangle in a Trapezium

Age 11 to 16 Challenge Level:

Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

The Square Under the Hypotenuse

Age 14 to 16 Challenge Level:

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

Mixing Lemonade

Age 11 to 14 Challenge Level:

Can you work out which drink has the stronger flavour?

M, M and M

Age 11 to 14 Challenge Level:

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Tilted Squares

Age 11 to 14 Challenge Level:

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Counting Factors

Age 11 to 14 Challenge Level:

Is there an efficient way to work out how many factors a large number has?