### Chocolate

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

### Doughnut

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

### Rectangle Tangle

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

# Fraction Fascination

##### Stage: 2 Challenge Level:

We had several good solutions to this problem. They came from Cong who goes to St Peter's RC Primary, Aberdeen; Terence from Brumby Engineering College and Ben at Kingsbarns Primary.

Cong coloured the first image:

He said:

The green and dark blue shape is $\frac{1}{4}$ of the square's area (each).

The blue shape is $\frac{1}{8}$ of the square's area.

From these three shapes you can work out the red shape's area which is $\frac{3}{8}$.

Cong then sent in a new version of the large design:

He goes on to say:

This shape is made from combining 4 small squares together to get this big shape.

The shape in the middle of the large square is a rhombus.

The big blue shape is $\frac{1}{4}$ of the large square's area because it is $\frac{1}{4}$ of the small square and because the large square is four times as big as the small square, which means that it will be the same fraction.