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Year 7

Divisibility tests for 2 and 3

I can identify and explain whether a number is or is not a multiple of a given integer.

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New
New
Year 7

Divisibility tests for 2 and 3

I can identify and explain whether a number is or is not a multiple of a given integer.

Download all resources
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Share activities with pupils
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Lesson details

Key learning points

  1. Any even number is a multiple of 2.
  2. For any multiple of 3 the sum of its digits is also a multiple of 3.

Keywords

  • Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.

Common misconception

Incorrectly summing the digits of an integer to identify a multiple of 3.

Use number bonds to sum large numbers of digits.

When talking about multiples of 2, go around the class and challenge the students to give a multiple of 2 greater than the previous person. When doing the multiples of 3 students could come to the board and make a list of examples and non-examples.
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

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Starter quiz

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6 Questions

Q1.
What are the first five multiples of 11?
Correct answer: 11, 22, 33, 44, 55
1, 11
1, 2, 5.5, 11
22, 33, 44, 55, 66
Q2.
Match an example of a common multiple of the numbers given.
Correct Answer:Common multiple of 2 and 3,are multiples of 6

are multiples of 6

Correct Answer:Common multiple of 2 and 5,are multiples of 10

are multiples of 10

Correct Answer:Common multiple of 3 and 5,are multiples of 15

are multiples of 15

Correct Answer:Common multiple of 7 and 11,are multiples of 77

are multiples of 77

Q3.
Identify the common multiples of 2 and 7.
1, 2, 7
2, 4, 6, 7, 8, 10, 12, 14, ….
Correct answer: 14, 28, 42, 56, ….
There are no common multiples of 2 and 7
Q4.
Identify the common multiples of 3, 4, and 5
1, 2, 4, 5, 10
Correct answer: 60, 120, 180, ….
3, 4, 5, 6, 8, 10, ….
There are no common multiples of 3, 4 and 5
Q5.
A light flashes every 4 minutes. Another light flashes every 5 minutes. At 9 am, they flash at the same time. What time will they next flash together?
9:14 am
9:09 am
9:15 am
Correct answer: 9:20 am
Q6.
Starting with the largest, put these fractions in order of size. Use a common denominator to help you.
1 - $${5} \over {6}$$ 
2 - $${2} \over {3}$$ 
3 - $${1} \over {2}$$ 
4 - $${7} \over {15}$$ 
5 - $${1} \over {10}$$ 

Exit quiz

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6 Questions

Q1.
__________ is a number’s ability to be exactly divided by another number, leaving no remainder.
Squaring
Cubing
Correct answer: Divisibility
Multiplying
Q2.
Sofia says, "All multiples of 2 are even." Is Sofia's statement sometimes true, always true or never true?
Sometimes true
Correct answer: Always true
Never true
Q3.
Jun says, "All common multiples of 3 and 5 are even." Is Jun's statement sometimes true, always true or never true?
Correct answer: Sometimes true
Always true
Never true
Q4.
Match each description of a multiple with the correct divisibility test.
Correct Answer:For any multiple of 3:,the sum of the digits is a multiple of 3

the sum of the digits is a multiple of 3

Correct Answer:For any multiple of 2:,the digit in the ones column is always a 0, 2, 4, 6 or 8

the digit in the ones column is always a 0, 2, 4, 6 or 8

Correct Answer:For any multiple of 2 and 3:,the number is even and sum of the digits is a multiple of 3

the number is even and sum of the digits is a multiple of 3

Q5.
All common multiples of 2 and 3 are:
multiples of 5
Correct answer: multiples of 6
multiples of 8
multiples of 10
Q6.
Match each number with the correct statement.
Correct Answer:377 037 ,is a multiple of 3

is a multiple of 3

Correct Answer:372 950,is a multiple of 2

is a multiple of 2

Correct Answer:48 959,is not a multiple of 2 or 3

is not a multiple of 2 or 3