Perimeter

problem
Garden fence

Age

14 to 16

Challenge level

Weekly Problem 44 - 2009
A garden has the shape of a right-angled triangle. A fence goes from the corner with the right-angle to a point on the opposite side. How long is the fence?
problem
Altitude inequalities

Age

14 to 16

Challenge level

Weekly Problem 8 - 2010
Are you able to find triangles such that these five statements are true?
problem
Sizing them up

Age

5 to 7

Challenge level

Can you put these shapes in order of size? Start with the smallest.
problem
Lawn border

Age

5 to 11

Challenge level

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
problem
Cutting it out

Age

5 to 11

Challenge level

I cut this square into two different shapes. What can you say about the relationship between them?
problem
Rod area

Age

7 to 11

This task challenges you to create symmetrical U shapes out of rods and find their areas.
problem
Always, sometimes or never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
Fencing lambs

Age

7 to 11

Challenge level

A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
problem
Area and perimeter

Age

7 to 11

Challenge level

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
problem
Polydron

Age

7 to 11

Challenge level

This activity investigates how you might make squares and pentominoes from Polydron.