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Year 4

Explain the relationship between multiples of three and multiples of nine

I can explain the relationship between multiples of three and multiples of nine.

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New
New
Year 4

Explain the relationship between multiples of three and multiples of nine

I can explain the relationship between multiples of three and multiples of nine.

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Lesson details

Key learning points

  1. Numbers in the 9 times table are also in the 3 times table.
  2. When there are 3 groups of 3, there is 1 group of 9
  3. Multiples of 9 are all multiples of 3 but not all multiples of 3 are multiples of 9

Keywords

  • Multiple - A multiple is the result of multiplying a number by another whole number.

Common misconception

Lack of fluency in the 3s and 9s times tables can lead to pupils being slower to grasp the generalisation about the relationship between the 3 and 9 times tables.

Use arrays and other representations to draw clear comparisons. Multiplication grids could also be provided while pupils become more fluent in recall.

Children to chorally rehearse their 3s and 9s at any given opportunity to support fluency.
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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.
Identify the multiples of 6 in the list.
Correct answer: 6
Correct answer: 12
17
26
Correct answer: 48
Q2.
Identify the numbers that are multiples of both 3 and 6
Correct answer: 24
27
33
Correct answer: 66
Correct answer: 72
Q3.
Match the multiples of 9 to the correct equation.
Correct Answer:2 × 9 =,18
tick

18

Correct Answer:3 × 9 =,27
tick

27

Correct Answer:4 × 9 =,36
tick

36

Correct Answer:5 × 9 =,45
tick

45

Q4.
Balloons come in packs of 9 Izzy’s mum buys 8 packs. When blowing up the balloons, 3 burst. How many balloons were left? balloons
Correct Answer: 69
Q5.
Sofia scored 4 points. Andeep scored 9 times as many points as Sofia, but had 7 points deducted. How many points did Andeep score? points
Correct Answer: 29
Q6.
Sofia scored 9 points. Aisha scored 12 times as many points, and then received 12 bonus points. How many points did Aisha score? points
Correct Answer: 120

6 Questions

Q1.
Select the correct expression for this image.
An image in a quiz
3 × 2
Correct answer: 3 × 3
9 × 3
9 − 3
Q2.
Fill in the gap. Multiples of 9 are ________.
Correct answer: always multiples of 3
always even numbers
always odd numbers
Q3.
Which numbers are both multiples of 3 and 9?
3
6
Correct answer: 9
Correct answer: 27
Correct answer: 54
Q4.
Look at the bar model and fill in the blanks. 3 × 6 = × 2
An image in a quiz
Correct Answer: 9
Q5.
Complete the sentence. When there are 3 groups of 3 there is __________
3 groups of 9
2 groups of 9
Correct answer: 1 group of 9
0 groups of 9
Q6.
Use what you know about multiples of 3 and 9 to complete: 5 × 9 = × 3
Correct Answer: 15