# Resources tagged with: Square numbers

### There are 15 results

Broad Topics >

Properties of Numbers > Square numbers

##### Age 14 to 16

Challenge Level

Discover a way to sum square numbers by building cuboids from small
cubes. Can you picture how the sequence will grow?

##### Age 14 to 16

Challenge Level

Can you find a rule which relates triangular numbers to square numbers?

##### Age 14 to 16

Challenge Level

Show that 8778, 10296 and 13530 are three triangular numbers and that they form a Pythagorean triple.

##### Age 14 to 16

Challenge Level

The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

##### Age 11 to 14

Challenge Level

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

##### Age 14 to 16

Challenge Level

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

##### Age 14 to 16

Challenge Level

Mr Smith and Mr Jones are two maths teachers. By asking questions, the answers to which may be right or wrong, Mr Jones is able to find the number of the house Mr Smith lives in... Or not!

##### Age 14 to 16

Challenge Level

Robert noticed some interesting patterns when he highlighted square
numbers in a spreadsheet. Can you prove that the patterns will
continue?

##### Age 14 to 16

Challenge Level

Which numbers can we write as a sum of square numbers?

##### Age 11 to 14

Challenge Level

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?

##### Age 11 to 14

Challenge Level

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

##### Age 11 to 14

Challenge Level

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?

##### Age 11 to 14

Challenge Level

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

##### Age 14 to 18

Challenge Level

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

##### Age 11 to 14

Challenge Level

Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?