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Multiples illustration | The number seven
3 x 213 = 7

Multiples 3 (Easy)

Multiples link maths and the universe in surprising ways. In 11 Plus Maths, they help pupils recognise number patterns, calculate efficiently, and understand how values connect.

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Fascinating Fact:

A full orbit of Saturn around the Sun takes about twenty nine and a half Earth years, meaning the planet completes one orbit for every thirty Earth birthdays, a cosmic multiple.

In 11 Plus Maths, multiples help students connect ideas in number, time, and measurement. Understanding them builds strong arithmetic foundations and supports topics like fractions and ratios.

  • Multiple: A number that can be divided by another number without leaving a remainder.
  • Common Multiple: A number shared by two or more other numbers as a multiple.
  • Factor: A number that divides exactly into another number, leaving no remainder.
How are multiples used in space and science?

Multiples appear in planetary motion, such as Saturn’s orbit being a multiple of Earth’s years, showing patterns even in astronomy.

How can I quickly identify common multiples?

List a few multiples of each number and look for matches. For example, 12 and 18 share 36 as a common multiple.

Why do multiples matter in the 11 Plus?

Multiples are key to solving questions on factors, fractions, and ratios. They make it easier to simplify problems and spot patterns in numbers.

1 .
Which of the four choices is a multiple of ALL the numbers given?
2.5, 4, 5
10
15
25
35
15, 25 and 35 are not divisible by 4
2 .
Which of the four choices is a multiple of ALL the numbers given?
1.2, 5, 12
6
12
24
60
6 is not divisible by 12 or 5, while 12 and 24 are not divisible by 5
3 .
Which of the four choices is NOT a multiple of ALL the numbers given?
20, 30, 60
60
120
140
180
140 is not divisible by 60 or 30, just like 14 is not divisible by 6 or 3. If all three numbers end with a 0 you can ignore them
4 .
Which of the four choices is NOT a multiple of ALL the numbers given?
4, 7, 6
42
84
168
252
42 is not divisible by 4. Sometimes the times tables don’t go up high enough – if that is the case then you’ll have to do some calculations. Just divide th large numbers by 4, 7 and 6 to find out whether they are multiples
5 .
Which number is a multiple of 213?
6
7
8
9
3 x 21?3 = 7
6 .
Which number is a multiple of 17?
52
69
86
102
6 x 17 = 102. None of the other options appears in the 17 times table
7 .
Which list is made up of multiples of 16?
64, 68, 72, 76
80, 88, 96, 104
72, 84, 96, 108
80, 96, 112, 128
The other three options are taken from the 4, 8 and 12 times tables
8 .
Which list is made up of multiples of 4?
8, 28, 34, 72
16, 40, 48, 78
20, 36, 52, 84
24, 42, 56, 80
34, 42 and 78 cannot be divided by 4 without a remainder
9 .
A number is a multiple of 2 if …?
It is even
Its last two digits are divisible by 2
It ends with an 8
All of the above
The quickest way to work out whether or not a number is a multiple of two is to ask yourself, “Is the number even?”
10 .
A number is a multiple of 8 if …?
The last three digits are divisible by 8
The last two digits are divisible by 8
The last digit is divisible by 8
All of the above
That’s because 8 goes into 200 but not into 100: 624 ÷ 8 = 78 BUT 524 ÷ 8 = 65.5
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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