Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Always the Same

Or search by topic

Age 11 to 14

Challenge Level

- Problem
- Student Solutions

Arrange the numbers 1 to 16 into a 4 by 4 array.

Choose a number and circle it. Cross out the
numbers which are in the same row and column as your chosen number.
Repeat this process twice more choosing from the remaining numbers. This should leave you with one number remaining, circle this one also. |

Add up your four circled numbers.
Why do they always add up to 34 whatever way you choose your numbers? |