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Find out why 81 is a square number in this quiz.

Properties of Numbers (Medium)

This 11 Plus Maths quiz explores the properties of numbers, helping pupils recognise patterns, multiples, and factors that reveal how numbers are connected.

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Fascinating Fact:

Even numbers are all multiples of two, which explains why they always come in pairs, like socks or chopsticks.

In 11 Plus Maths, pupils learn to classify numbers into categories such as even, odd, prime, and composite. Understanding these properties helps them identify patterns, simplify calculations, and solve number problems efficiently.

Key Terms

Factor: A number that divides another exactly without leaving a remainder.
Multiple: The result of multiplying a number by an integer.
Prime Number: A number with only two factors — one and itself.

Learn more about 11 Plus subjects in our guide for parents on 11 Plus subjects.

Frequently Asked Questions (Click to see answers)

What is the difference between factors and multiples?

Factors divide a number exactly, while multiples are created by multiplying that number by whole numbers. For example, 3 is a factor of 12, and 12 is a multiple of 3.

How can you tell if a number is even or odd?

A number is even if it divides evenly by 2, leaving no remainder. If dividing by 2 leaves 1 as a remainder, the number is odd.

What makes a number prime?

A prime number has only two factors: one and itself. Examples include 2, 3, 5, 7, and 11. The number 2 is the only even prime number.

Try These Related Quizzes

1 .

Which words do not describe the numbers 2, 4, 6 and 8?

Odd numbers

Even numbers

Whole numbers

Multiples of two

They are all whole even numbers and multiples of 2

2 .

Which words do not describe the numbers 3, 5, 7 and 9?

Even numbers

Odd numbers

Whole numbers

Each number is two more than the previous number

They are all whole odd numbers, and each number is two more than then previous number

3 .

If a number is divisible by 10, what must the final digit of the number be?

You can cancel the zero in the number with the zero in ten and write the answer straight away, e.g. 120 ÷ 10 = 12

4 .

What is meant by the following statement: 48 is a multiple of 4?

Four has to be multiplied 48 times with itself

Four is the square of 48

Four goes into 48 exactly

Four does not go into 48 exactly

If a number is a multiple of another number, then it is divisible by the other number exactly a certain number of times, e.g. 4 goes into 48 exactly 12 times because 12 × 4 = 48. Note: 16.8 is a multiple of 2.8 because 2.8 × 6 = 16.8: so the idea of 'multiples' also applies to decimal numbers

5 .

What do you always get when you add a positive whole number and a negative whole number?

Either a positive or negative number

A negative number

A positive number

Either a positive number or negative number or zero

For example: 6 + -5 = 1 (a positive number); 6 + -7 = -1 (a negative number); 6 + -6 = 0 (zero). DON'T forget zero - it is a number

6 .

Which of the following is not a square number?

121

A square number is formed by multiplying another number with itself : 64 = 8 × 8; 121 = 11 × 11; 81 = 9 × 9. Note: 1 × 1 = 1

7 .

Which of the following statements is wrong?

If a number is a multiple of 8, it is divisible by both 2 and 4

If a number is divisible by 2, it is an even number

If a number is divisible by 2, it is divisible by 4

If a number is divisible by 4, it is divisible by 2

Not so, e.g. 2 × 9 = 18 BUT 18 is NOT divisible by 4. If you want to show that a statement is not always true, find one example that shows it is wrong - like we did here

8 .

Which of the following statements is wrong?

For every positive number there is a negative number

There are more positive numbers than negative numbers

The smallest non negative even number is 2

The smallest non negative odd number is 1

Not so! For every positive number there is a negative number, e.g. 2 and -2, 1,000 and -1,000, 3.4 and -3.4: this goes on and on without end for every number you care to think of

9 .

If a number is divisible by 5, what must the final digit of the number be?

0 or 5

5 only

0 only

1 only

For example, 130 (ends in zero) and 345 (ends in five) are both divisible by 5

10 .

How can an odd number always be made into an even number?

Add 2 to it

Subtract 2 from it

Divide it by 2

Multiply it by 2

Doubling an odd number will always produce an even number

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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