### Forgot the Numbers

On my calculator I divided one whole number by another whole number and got the answer 3.125 If the numbers are both under 50, what are they?

### Shapes in a Grid

Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

# Four Go

##### Stage: 2 Challenge Level:

Draw a number line on a piece of paper, marked from 0 to 20, like this:

(You could print off this sheet which has several number lines drawn on it.)

This challenge is a game for two players.The first player chooses two numbers in this grid and either $\times$ or $\div$.

He or she then marks the answer to the calculation on the number line.The second player then chooses two numbers and either $\times$ or $\div$, and marks that number in a different colour on the number line.

If the answer is too big or too small to be marked on the number line, the player misses a go.

The winner is the player to get four marks in a row with none of their opponent's marks in between.

What good ways do you have of winning the game?

Does it matter if you go first or second?

[This game is adapted from a SMILE Centre card.]