Divisibility tests for 6 and 9
I can identify and explain whether a number is or is not a multiple of a given integer.
Divisibility tests for 6 and 9
I can identify and explain whether a number is or is not a multiple of a given integer.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A number is a multiple of 6 if and only if it also is a multiple of 2 and 3.
- For any multiple of 9 the sum of its digits is also a multiple of 9.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Common misconception
Incorrectly summing the digits to identify a multiple of 3 or 9.
Use number bonds to sum large numbers of digits.
To help you plan your year 7 maths lesson on: Divisibility tests for 6 and 9, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Divisibility tests for 6 and 9, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Properties of number: factors, multiples, squares and cubes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
is divisible by 2 and 3
is divisible by 2
is not divisible by 2 or 3
is divisible by 3
Exit quiz
6 Questions
states the sum of its digits is a multiple of 3
states the digits 0, 2, 4, 6 or 8 must be in the ones column
states the sum of the digits is a multiple of 9