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Year 5

Use knowledge of multiplying a whole number by a unit fraction to solve problems

I can use knowledge of multiplying a whole number by a unit fraction to solve problems.

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New
New
Year 5

Use knowledge of multiplying a whole number by a unit fraction to solve problems

I can use knowledge of multiplying a whole number by a unit fraction to solve problems.

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Lesson details

Key learning points

  1. Finding a fraction of a number is the same as multiplying the number by the fraction.
  2. Multiplying a number by a unit fraction is equivalent to dividing the number by the denominator of the fraction.
  3. The whole has been divided into__ equal parts describes dividing by __

Keywords

  • Equation - An equation is used to show that one number, calculation or expression is equal to another.

  • Strategy - A strategy is a plan or method to achieve a specific goal.

Common misconception

Pupils struggle to unpick the maths required of them from the worded problems.

Encourage pupils to draw a bar model for each problem. This will help them to identify what information is known, for example, whether the problem indicates if the whole, the value of a part, or the size of a part is known.


To help you plan your year 5 maths lesson on: Use knowledge of multiplying a whole number by a unit fraction to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...

Ensure pupils are given time to explore calculations provided and encourage them to solve the problems mentally where they can. Avoid pupils jumping straight into a written method where this would not necessarily be the most appropriate method to solve the calculation.
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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Tick the word that can replace ‘×’ in a calculation.
and
altogether
Correct answer: of
by
Q2.
What is the value of each part of the bar model?
An image in a quiz
Correct Answer: 12
Q3.
Tick the equations that match this bar model.
An image in a quiz
30 × 5 = 6
Correct answer: 5 × 6 = 30
Correct answer: 30 ÷ 5 = 6
6 ÷ 30 = 5
Correct answer: 6 × 5 = 30
Q4.
Calculate: 210 ÷ 3 =
An image in a quiz
Correct Answer: 70
Q5.
Calculate: 204 ÷ 3 =
An image in a quiz
Correct Answer: 68
Q6.
Solve the equation: 32 × $$ \frac{1}{8} $$ =
Correct Answer: 4

6 Questions

Q1.
Solve the equation: 24 × $$ \frac{1}{2} $$ =
Correct Answer: 12
Q2.
Calculate: 540 ÷ 6 =
An image in a quiz
Correct Answer: 90
Q3.
Solve the equation: 540 × $$ \frac{1}{6} $$ =
Correct Answer: 90
Q4.
Solve the equation: 552 × $$ \frac{1}{6} $$ =
Correct Answer: 92
Q5.
Tick the equations that represent the problem: The school raised £1,408 at the school fair. One-quarter of the money was made from a cake raffle. How much money was made on the cake raffle?
1,408 × 4 =
4 × 1,408 =
Correct answer: 1,408 × $$ \frac{1}{4} $$ =
Correct answer: 1,408 ÷ 4 =
Q6.
The school raised £1,408 at the school fair. One-quarter of the money was made from a cake raffle. How much money was made on the cake raffle? £
Correct Answer: 352, 352.00, £352