Being resourceful

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

How many different number families can you find?

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

These Olympic quantities have been jumbled up! Can you put them back together again?