New
New
Solve problems using divisibility rules for divisors of 3, 6 and 9
I can solve problems using divisibility rules for divisors of 3 and 6
Lesson 4 of 5
New
New
- Year 4
Solve problems using divisibility rules for divisors of 3, 6 and 9
I can solve problems using divisibility rules for divisors of 3 and 6
Lesson details
Key learning points
- For a number to be divisible by three, the dgit sum of the number must be a divisible by 3
- For a number to be divisible by 6, it must be divisible by both 2 and 3
- If you halve a number and the digit sum of the half is a multiple of 3 then the number is divisible by 6
Keywords
Digit sum - The sum of the digits that comprise a number.
Divisible / divisibility - Divisibility is when division of a number results in another whole number. A number is divisible by another if it can be shared exactly with no remainder.
Multiple - A multiple is the result of multiplying a number by another whole number.
Common misconception
Pupils may find it difficult to solve problems or misunderstand questions.
Model clearly how to identify key phrases and words which will identify the operation and equation required for word problems. This could involve drawing bar models or other representations.
By this point fluency in 3, 6 and 9 times tables will support children in solving these problems. Continue to chorally rehearse the 3 and 6 times tables.
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).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which numbers are a multiple of 9?
Which numbers are a multiple of 9?
48
57
64
Q2.Identify the multiples of 6
Identify the multiples of 6
59
106
Q3.Match the groups of 30 to the groups of 90 with the same value.
Match the groups of 30 to the groups of 90 with the same value.
Q4.Look at the word problem, which words suggest we must multiply?
Andeep has 4 packs of 3 guinea cards. How many packs does he have altogether?
Look at the word problem, which words suggest we must multiply?
Andeep has 4 packs of 3 guinea cards. How many packs does he have altogether?
altogether
packs
how many
Q5.A party needs 909 balloons to decorate a stage. If balloons come in packs of 9, how many packs will be needed? packs
A party needs 909 balloons to decorate a stage. If balloons come in packs of 9, how many packs will be needed? packs
Q6.A baker baked 45 pastries and cakes altogether. He can put them in 5 boxes of 9
If he puts them into boxes of 3, how many boxes will he need? boxes.
A baker baked 45 pastries and cakes altogether. He can put them in 5 boxes of 9
If he puts them into boxes of 3, how many boxes will he need? boxes.
Assessment exit quiz
6 Questions
Q1.All multiples of 9 are also multiples of
All multiples of 9 are also multiples of
Q2.Select the multiples of 3 and 6
Select the multiples of 3 and 6
23
45
Q3.The digit sum of 855 is 18. It __________
The digit sum of 855 is 18. It __________
is not divisible by 9
Q4.Select the numbers that are divisible by 9:
Select the numbers that are divisible by 9:
273
815
Q5.A baker has 966 cakes, select the boxes below to show which boxes he’ll be able to split all cupcakes into equally.
A baker has 966 cakes, select the boxes below to show which boxes he’ll be able to split all cupcakes into equally.
9
Q6.A sweet factory has made 453 lollipops, select the boxes below to show which boxes he’ll be able to split all cupcakes into equally.
A sweet factory has made 453 lollipops, select the boxes below to show which boxes he’ll be able to split all cupcakes into equally.
6
9
