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.