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Year 3

Explain the relationship between multiples of 2 and multiples of 4

I can explain the relationship between multiples of 2 and multiples of 4

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New

Year 3

Explain the relationship between multiples of 2 and multiples of 4

I can explain the relationship between multiples of 2 and multiples of 4

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Share activities with pupils

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Lesson details

Key learning points

Multiples of 4 are double the multiples of 2
Multiples of 2 are half the multiples of 4
Multiples of 4 are all multiples of 2 but not all multiples of 2 are multiples of 4

Keywords

Multiple - A multiple is the result of multiplying a number by another whole number.
Doubling - Doubling is the act of becoming twice as many.
Halving - Halving means to divide into two equal parts.

Common misconception

Pupils may generalise the rule and assume that when dividing by 4 is the last digit is even, then the number is divisible by 4

Show children the relationship between 2s and 4s using the multiplication chart. Make clear that identifying the last digit as even is the first step - the last 2 digits should be a multiple of 4. Encourage discussions to highlight the relationship.

Continue to chorally rehearse 2s and 4s. Remind children that every integer is divisible by one.

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).

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Starter quiz

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6 Questions

Q1.

Which word describes numbers that are next to each other?

greater

Correct answer: adjacent

groups

factors

Q2.

Which number on this number line is not a multiple of 4?

Correct Answer: 25, twenty five

Q3.

Which multiples of 4 are adjacent to 28?

Correct answer: 24

Correct answer: 32

Q4.

A multiple of 4 is missing from the number line. How can we use the adjacent multiples in this example?

Correct answer: 48 - 4

Correct answer: 40 + 4

Count along the number line up to the missing number

Q5.

Izzy knows that 13 × 4 = 52. She used the known fact of 12 × 3 = 48 and 4.

Correct answer: added

subtracted

Q6.

Using your knowledge of groups, order the calculations starting with the smallest multiple.

1 - 4 × 4

2 - 5 × 4

3 - 4 × 8

4 - 10 × 4

Exit quiz

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6 Questions

Q1.

Which numbers are multiples of 2 and multiples of 4?

Correct answer: 12

Correct answer: 16

Correct answer: 20

Q2.

Look at the image. Match the size of the group to the number of groups.

Correct Answer:Groups of 2 =,8

Correct Answer:Groups of 4 =,4

Q3.

Match the groups of 4 to the groups of 2.

Correct Answer:1 group of 4,2 groups of 2

2 groups of 2

Correct Answer:2 groups of 4,4 groups of 2

4 groups of 2

Correct Answer:3 groups of 4,6 groups of 2

6 groups of 2

Correct Answer:4 groups of 4,8 groups of 2

8 groups of 2

Correct Answer:5 groups of 4,10 groups of 2

10 groups of 2

Q4.

Which of the statements are true?

If a factor is doubled, the product is halved

All multiples of 2 are multiples of 4

Correct answer: All multiples of 4 are multiples of 2

Correct answer: If a factor is doubled, the product also doubles

Correct answer: If a factor is halved, the product also halves

Q5.

Multiples of 4 are the multiples of 2.

Correct Answer: double, Double, DOUBLE

Q6.

Look at the array. Match the questions to the correct answers.

Correct Answer:How many groups of 4 are there?,6

Correct Answer:How many groups of 2 are there?,12

Correct Answer:6 x 4 =,24

Correct Answer:12 x 2 = ,24