Doughnut

How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?

Dividing a Cake

Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?

Matching Fractions, Decimals and Percentages

An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.

Rectangle Tangle

Rectangle Tangle

The large rectangle above is divided into a series of smaller quadrilaterals and triangles. Each of the shapes is a fractional part of the large rectangle.

Can you untangle what fractional part is represented by each of the ten numbered shapes?

Why do this problem?

This activity gives the pupils opportunities to use and develop their visualising skills in conjunction with the knowledge of fractions. It's quite a contrast to just dealing with fractions numerically.

Possible approach

The pupils will most likely need to have had some previous experience of the shapes involved. Print out copies of this sheet to give to learners so that they have the image in front of them and can add marks to it, should they wish.

Key questions

What shapes have you found?
How big is this shape?
Which is the biggest/smallest shape?
Tell me how you found this out?

Possible extension

Encourage the pupils who have well with the challenge to create their own problems for others to solve.

Possible support

The should probably be plenty of resources available for many children while with others you would want them to ask for particular resources to help them. Placing resources in front of same pupils seems to tell them that they should be using them, when you really want them to use their own ideas and make their own choices.  Some children may find it helpful to see the image on squared paper: