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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Missing Multipliers

The multiplication square below has had all its headings and answers hidden. All of the headings are numbers from 2 to 12.

**By clicking on some of the cells to reveal the answers, can you work out what the headings must be?**

Once you've worked out what each heading must be, drag the purple numbers to the appropriate spaces. When you think you have cracked it, click "Show the solution" to see if you are right.

**What is the smallest number of answers you need to reveal in order to work out the missing headers?**

Here are some more Missing Multiplier challenges you might like to try:

*If you enjoyed this problem you may also enjoy Gabriel's Problem*

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Age 7 to 14

Challenge Level

The multiplication square below has had all its headings and answers hidden. All of the headings are numbers from 2 to 12.

Once you've worked out what each heading must be, drag the purple numbers to the appropriate spaces. When you think you have cracked it, click "Show the solution" to see if you are right.

Here are some more Missing Multiplier challenges you might like to try:

A 6 by 6 grid, using multipliers up to 15

An 8 by 8 grid, using multipliers up to 18

A 10 by 10 grid, using multipliers up to 20

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?