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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Factors and Multiples Puzzle

To try this puzzle you will need a copy of the playing board and cards. You can download a copy to print.

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### Adding All Nine

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Age 11 to 14

Challenge Level

To try this puzzle you will need a copy of the playing board and cards. You can download a copy to print.

- Cut out the $10$ heading cards and put one in each of the $10$ spaces round the playing board.

- Cut out the $25$ number cards and place each one in a different square on the playing board so that the number satisfies the condition given by the heading card for that row
*and*the condition given by the heading card for that column.

By rearranging the heading cards and the number cards, try to fill as many squares on the playing board as possible.

Can you fill all the squares on the board at once?

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!