### Tiny Nines

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.

### Repetitiously

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

### Sept 03

What is the last digit of the number 1 / 5^903 ?

# Fractions and Percentages Card Game

### Why play this game?

This game offers students practice in calculating fractions and percentages of amounts.

### Possible approach

Show students the game and turn over a few cards so they understand the object of the game. Then invite them to play the game on computers, or with the Printed cards.

It may be useful for students to keep a record of the values on the cards they have turned over as they go along.

For some students it may be appropriate to have access to calculators or pencil and paper, but it may be appropriate to challenge some students to work out the calculations in their heads.

Bring the class together and ask for any tips or strategies that help with the game.

You could invite students to create their own sets of cards that they can share and use to play different versions of the game.

### Key questions

Which fractions and percentages are easy to work out?
Which are more difficult?

### Possible extension

If students have successfully played the game with a calculator, encourage them to move on to paper and pencil, and finally mental methods.

Fair Shares is a challenging investigation involving fractions of amounts.