Fractions

problem

Special Sums and Products

Age

11 to 14

Challenge level

Find some examples of pairs of numbers such that their sum is a factor of their product. eg. 4 + 12 = 16 and 4 × 12 = 48 and 16 is a factor of 48.
problem

Smaller and Smaller

Age

7 to 14

Challenge level

Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?
problem

Fracmax

Age

14 to 16

Challenge level

Find the maximum value of 1/p + 1/q + 1/r where this sum is less than 1 and p, q, and r are positive integers.
problem

Stretching Fractions

Age

14 to 16

Challenge level

Imagine a strip with a mark somewhere along it. Fold it in the middle so that the bottom reaches back to the top. Stetch it out to match the original length. Now where's the mark?
problem

Fraction Card Game

Age

5 to 7

Challenge level

Can you match the halves in this interactive game?
problem

Same Shapes

Age

5 to 7

Challenge level

How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?
problem

Paper Halving

Age

5 to 11

Challenge level

In how many ways can you halve a piece of A4 paper? How do you know they are halves?
problem

Linked Chains

Age

7 to 11

Challenge level

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
problem

What Do You See Here?

Age

7 to 11

Challenge level

An activity for teachers to initiate that adds to learners' developing understanding of fractions.
game

Fractions and Coins Game

Age

7 to 11

Challenge level

Calculate the fractional amounts of money to match pairs of cards with the same value.