Represent a square number | Maths | Quizalize & Oak National Academy

Starter quiz

What calculation does this array show?
- 4 × 7 ✓
- 4 + 7
- 7 × 4 ✓
- 4 × 8
Match the sequence to the number which will go next in the sequence.
- 12, 18, 24, 30
  
  ⇔
  
  36 ✓
- 21, 28, 35, 42
  
  ⇔
  
  49 ✓
- 45, 40, 35, 30
  
  ⇔
  
  25 ✓
- 45, 54, 63, 72
  
  ⇔
  
  81 ✓
Match the parts of the sentences correctly.
- Odd factor × even factor =
  
  ⇔
  
  even product ✓
- Even factor × even factor =
  
  ⇔
  
  even product ✓
- Odd factor × odd factor =
  
  ⇔
  
  odd product ✓
Without calculating, will this equation produce an odd or even product? 24 × 8 =
- Odd
- Even ✓
True or false? The products in the 7 times tables will always be even.
- True
- False ✓
When the rabbit catches the star, it becomes 7 times the size. What is the new height of the rabbit? ______ cm
- '49' ✓

Exit quiz

This array shows the equation 4 × 4 When both factors have the same value, the product is __________ number.
- an odd
- a square ✓
- an even
What expression does this square array show?
- 4 × 4
- 4 × 5
- 5 × 5 ✓
- 6 × 5
What is the next square number expression in this sequence, shown by the last array?
- 3 × 3
- 4 × 4 ✓
- 5 × 5
Look at this image. What does the little 2 written above the number mean?
- Multiply the number by 2
- Add 2 to the number
- Multiply the number by itself ✓
Match the expression to the correct square number product.
- 2²
  
  ⇔
  
  4 ✓
- 3²
  
  ⇔
  
  9 ✓
- 4²
  
  ⇔
  
  16 ✓
- 5²
  
  ⇔
  
  25 ✓
Match the start and the end of the sentence correctly.
- Squaring an odd number =
  
  ⇔
  
  an odd product ✓
- Squaring an even number =
  
  ⇔
  
  an even product ✓

Worksheet

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Lesson Details

Key learning points

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.

Common misconception

Pupils might think that a square number is simply any number or a number multiplied by 2

Remind children that a square number is the product of a number multiplied by itself (e.g., 4 × 4 = 16). Take time to use square arrays to demonstrate this.

Keywords

Square number - A square number is the result of multiplying a whole number (not a fraction) by itself.
Square array - A square array is a group of objects arranged in rows and columns where the number of rows is the same as the number of columns, making a square.