New

Year 5

Solve problems involving multiplication and division

I can use a range of strategies to solve multiplication and division problems.

Download all resources

Share activities with pupils

New

Year 5

Solve problems involving multiplication and division

I can use a range of strategies to solve multiplication and division problems.

Download all resources

Share activities with pupils

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.

View new resources

Slide deck

Download slide deck

Skip slide deck

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

Multiplication - The basic idea of multiplication is repeated addition.
Division - Division is splitting into equal parts or groups. It is the result of "fair sharing".
Inverse - Inverse means the opposite in effect. The reverse of.

Common misconception

Pupils may not be able to identify the key words leading to the operation.

Highlight the keyword and read back the question highlighting the context of the word problem. Words such as 'of' will need exemplifying.

Ensuring pupils understand the inverse of each operation is key to this lesson. Encourage children to also use the inverse to check their answers.

Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Skip lesson video

Worksheet

Download worksheet

Skip worksheet

Starter quiz

Download starter quiz

6 Questions

Q1.

Which of these is not a multiple of 4?

Correct answer: 22

400

444

Q2.

Look at the diagram, choose the correct division equation. Three ice creams are shared between three people.

3 ÷ 1

3 ÷ 2

Correct answer: 3 ÷ 3

Q3.

Look at the diagram, choose the correct division equation.

4 ÷ 0

Correct answer: 4 ÷ 1

4 ÷ 4

Q4.

Use a mental strategy to solve: 363 ÷ 6 = Write your answer in numeral form using r if you need to show a remainder.

Correct Answer: 60r3

Q5.

Choose an efficient strategy to solve: 763 ÷ 9 = Write your answer in numeral form using r if you need to show a remainder.

Correct Answer: 84 r7, 84r7, 84 remainder 7

Q6.

Choose an efficient strategy to solve this word problem: 937 cookies are packed in boxes of 3. How many boxes are needed to pack all of the cookies?

Correct Answer: 313, 312 r1, 312r1, 313, 312 r 1

Exit quiz

Download exit quiz

6 Questions

Q1.

Match the division equation to the correct quotient.

Correct Answer:15 ÷ 3 =,5

Correct Answer:21 ÷ 7 =,3

Correct Answer:49 ÷ 7 =,7

Correct Answer:144 ÷ 12 =,12

Q2.

Use the representation below to fill in the blank:

Correct answer: 800

Q3.

Select the correct operation for this word problem: Izzy collected 13 stickers in a week. Andeep collected 4 times as many. How many stickers does Andeep have?

Correct answer: ×

Q4.

Select the correct calculation for this word problem: Izzy collected 13 stickers in a week. Andeep collected 3 times as many. How many stickers does Andeep have?

Correct answer: 13 × 3

13 ÷ 3

Q5.

Use an efficient strategy to solve: 608 ÷ 4. Write your answer in numeral form.

Correct Answer: 152

Q6.

Each glass of fresh Orange juice made at the cafe requires the juice of 6 oranges. If they have 583 oranges how many full glasses of juice can they make? Write your answer in numeral form.

Correct Answer: 97