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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Sticky Numbers

## $$10\quad 15\quad 21\quad 4\quad 5$$

This printable set of cards might help you to test different options.
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### Time of Birth

### Square Routes

Links to the University of Cambridge website
Links to the NRICH website Home page

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Age 11 to 14

Challenge Level

*Sticky Numbers printable sheet (NRICH Roadshow resource)*

Look at the following row of numbers:

They are arranged so that each pair of adjacent numbers adds up to a square number: $$10 + 15 = 25$$ $$15 + 21 = 36$$ $$21 + 4 = 25$$ $$4 + 5 = 9$$

**Can you arrange the numbers 1 to 17 in a row in the same way, so that each adjacent pair adds up to a square number?**

This printable set of cards might help you to test different options.

**Can you arrange them in more than one way? If not, can you justify that your solution is unique?**

A woman was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. When was she born?

How many four digit square numbers are composed of even numerals? What four digit square numbers can be reversed and become the square of another number?