Find the decimal equivalents of the fractions one ninth, one ninety ninth, one nine hundred and ninety ninth etc. Explain the pattern you get and generalise.

A jigsaw where pieces only go together if the fractions are equivalent.

The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?

The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.

This package is designed around work on percentages which is outlined in the KS3 Mathematics Framework. One NRICH game and one problem have been identified to support the work on percentages in each. . . .

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.