Being resourceful

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

Choose some fractions and add them together. Can you get close to 1?

Which of these pocket money systems would you rather have?

Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Which set of numbers that add to 100 have the largest product?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

How many different symmetrical shapes can you make by shading triangles or squares?

What do you notice about the sum of two identical triangular numbers?