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?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.