New
New
Lesson 15 of 15
Solve problems involving multiplication and division in a range of contexts
I can solve multiplication and division problems in a range of contexts.
Lesson 15 of 15
New
New
Solve problems involving multiplication and division in a range of contexts
I can solve multiplication and division problems in a range of contexts.
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Lesson details
Key learning points
- Look at the numbers in the problem to decide which strategy is most effective and explain why.
- Use partitioning strategies if the numbers are related by times tables.
- Use short multiplication or division if the numbers are not related by times tables.
Keywords
Operation - Operation is a mathematical process.
Inverse - Inverse means the opposite in effect. The reverse of.
Common misconception
Pupils may not be able to identify whether a question is a 1-step or 2-step problem.
Read and highlight key words which identify the operation. Highlight the numbers which will lead to the calculation.
Begin by thinking of your own number. See if pupils can guess it! Then introduce the lesson. By the end of the lesson pupils can play games based on this game.
Teacher tip
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).
Prior knowledge starter quiz
Download quiz pdf
6 Questions
Q1.Match the division equation to the correct quotient.
Match the division equation to the correct quotient.
11
7
5
13
Q2.Use the representation below to fill in the blank:
Use the representation below to fill in the blank:

1
100
440
Q3.Select the correct operation for this word problem: Izzy collected 15 stickers in a week. Andeep collected 3 times as many. How many stickers does Andeep have?
Select the correct operation for this word problem: Izzy collected 15 stickers in a week. Andeep collected 3 times as many. How many stickers does Andeep have?
+
÷
Q4.Select the correct equation for this word problem: Izzy collected 42 marbles in a month. Andeep collected 3 times as many. How many stickers does Andeep have?
Select the correct equation for this word problem: Izzy collected 42 marbles in a month. Andeep collected 3 times as many. How many stickers does Andeep have?
42 ÷ 3 =
7 × 42 =
Q5.Use an efficient strategy to solve: 798 ÷ 3 = Write your answer in numeral form.
Use an efficient strategy to solve: 798 ÷ 3 = Write your answer in numeral form.
Q6.Each glass of fresh orange juice made at the cafe requires the juice of 5 oranges. If they have 383 oranges how many full glasses of juice can they make? Write your answer in numeral form.
Each glass of fresh orange juice made at the cafe requires the juice of 5 oranges. If they have 383 oranges how many full glasses of juice can they make? Write your answer in numeral form.
Assessment exit quiz
Download quiz pdf
6 Questions
Q1.Match the division equation to the correct quotient
Match the division equation to the correct quotient
7
7 r 1
7 r 2
8
Q2.Identify the operations for this worded problem: A classroom has 157 packs of 8 pencils. The pencils are reorganised into bundles of 6. How many bundles of 6 can be made?
Identify the operations for this worded problem: A classroom has 157 packs of 8 pencils. The pencils are reorganised into bundles of 6. How many bundles of 6 can be made?
÷ ×
× ÷ +
Q3.Select the correct bar model for this problem: A toy factory makes 200 toys but 18 are faulty. How many toys are non-faulty?
Select the correct bar model for this problem: A toy factory makes 200 toys but 18 are faulty. How many toys are non-faulty?

B
Q4. A sports coach is organising tennis balls into boxes of 5. So far 255 tennis balls have been organised. A further 105 balls have been donated. How many boxes will the coach need?
A sports coach is organising tennis balls into boxes of 5. So far 255 tennis balls have been organised. A further 105 balls have been donated. How many boxes will the coach need?
Q5.Look at Izzy’s question. Select the operations in the order you would calculate.
Look at Izzy’s question. Select the operations in the order you would calculate.

× ÷ +
− ÷ ×
Q6.Use efficient multiplication and division strategies to find the missing number. Write your answer in numeral form.
Use efficient multiplication and division strategies to find the missing number. Write your answer in numeral form.
