Missing Number Problems

Maths: Year 5 & 6 National Curriculum, topic 7.2.1

Writing Missing Number Problems

To work out missing numbers in problems, you can use algebra!

Turning sentences into algebra

Turning sentences into algebra

  • You can turn sentences into algebra.
Solving algebra

Solving algebra

  • To solve something in algebra means to find the number that should go instead of the letter to make the equation work.
  • In this example, n = 13.
Example 2

Example 2

Example 3

Example 3

Missing Number Problems

You can use missing number problems to find missing numbers in examples in real life.

Example

Example

  • I am making a cake.
  • The weight of the cupcake case is 12 g.
  • Each cupcake case is filled with different amounts of cake mixture (c).
The missing number problem

The missing number problem

  • The expression to solve this problem is 12 + c = w.
  • 12 is the weight of the cupcake case.
  • c is the weight of the cake mixture.
  • w is the weight of the cupcake.
Substitution

Substitution

  • You can work out the missing values in the table by substituting the values into you know into 12 + c = w.
Weight of mixture  324 g

Weight of mixture = 324 g

  • 12 + c = w
  • 12 + 324 = w
  • w = 336 g
Weight of cupcake  356 g

Weight of cupcake = 356 g

  • 12 + c = w
  • 12 + c = 356
  • c = 356 − 12
  • c = 344 g

Test yourself on Missing Number Problems

  • What is the algebraic formula for the weight of a plant pot with soil?

  • What is the algebraic formula for the weight of a bucket with sand?

Practise this topic for free