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mathematics UK Year 7 Mathematics (KS3)
 
Solved problems for the chapter:
 

Multiples

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Multiples and expressions for KS4
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Detailed solution steps are available at:
 
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Example 1.

Write down the lowest common multiples of numbers:

  • 6 and 4,

  • 8 and 9,

  • 10 and 8,

  • 6 and 15,

  • 7 and 21.

    
Example 2.

Write down the multiples of .

    
3.

Is the number a multiple of the number ?

    
4.

Which of the multiples of 48 lie between 1091 and 1348?

    
5.

Is the number a multiple of ?

    
6.

Obtain the first seven multiples of m.

    
7.

Write down the multiples of .

    
8.

Write the set of multiples of .

    

9.

Draw the first seven multiples of the number on the number axis.

    
10.

Write the set of multiples of .


  • What is the smallest multiple of ?

  • What is the largest multiple of ?

    
11.

Which natural numbers have the number 64 as one of its multiples?

    
12.

The figure is a number line representing multiples of a number. Find out which set of multiples the number line represents and write down the missing multiples.


Number axis with multiples of a number

    
13.

Find the lowest common multiples of the numbers given.


  • 2, 8, 16;

  • 6, 12, 18;

  • 3, 5, 10;

  • 5, 8, 20;

  • 3, 7, 10.

    
14.

Find all divisors of by splitting to prime numbers. Can you deduce from this why we have chosen such a time system that one hour has exactly 60 minutes?