### Time of Birth

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?

### Square Routes

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?

### Digat

What is the value of the digit A in the sum below: [3(230 + A)]^2 = 49280A

# Sticky Numbers

##### Age 11 to 14 Challenge Level:

Look at the following row of numbers:

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

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?

Printable NRICH Roadshow resource.