Identify and use square numbers to solve problems | Maths

Starter quiz

This array shows the equation 4 × 4 When both factors have __________ value, the product is a square number.

an odd

the same ✓

an even
True or false. This is a square array.

True
False ✓
Match the number to be squared with the correct expression.

3²

⇔

3 × 3 ✓

6²

⇔

6 × 6 ✓

7²

⇔

7 × 7 ✓

9²

⇔

9 × 9 ✓
How do we calculate a square number?

Multiply the number by 2

Mulitply by an odd number.

Multiply the number by itself. ✓

Multiply by an even number.
Select the square numbers.

6

16 ✓

24

25 ✓

49 ✓
True or false. An odd square number is the result of multiplying an odd number by itself.

True ✓
False

Match the expression to the square number product.

3²

⇔

9 ✓

4²

⇔

16 ✓

5²

⇔

25 ✓

6²

⇔

36 ✓

7²

⇔

49 ✓
Without calculating, which of the following is greater than 6²?

5²

8² ✓

3²
Insert the correct symbol to make this correct. 4² ___ 4 × 2

<

=

> ✓
Sofia and Jacob are making patterns with tiles. Sofia makes a square with 36 tiles. Which array shows the correct pattern?
Jacob has designed a square from smaller tiles. One side is 8 tiles long. How many tiles has he used? ______ tiles

'64' ✓
Sofia made a square using 81 tiles. How long are the sides of the square array? ______ tiles long.

'9' ✓

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A square number of objects can be arranged into a square array.
A square number can be represented as the product of two factors which are the same.
When both factors have the same value, the product is called a square number.

Pupils may not connect square numbers to their practical applications in problem-solving.

Highlight key words in the question to help children identify that they can use knowledge of square numbers to find the product.

Square number - The result of multiplying a number by itself is known as a square number.