This is the second of our Medium level Eleven Plus maths quizzes on Properties of Numbers. There are several different properties, such as multiples, squares, primes, odds and evens. Do you know what they are?

If the answer is ‘No’, then please have a go at our first quiz on the topic. If you’ve already played it, then this quiz will give you more opportunity to practice, cementing the terms you have learned in your mind.

So, if you are ready, it’s time to begin. Make sure that you read each question carefully before you choose your answer. You’d be surprised how many exams are failed because students did not fully understand the question. It’s good practice to always double check your answers before you click on them.

Good luck!

1.

Which of the following statements is wrong?

If a number is divisible by 3, it is divisible by 6

If a number is a multiple of 10, it is divisible by both 2 and 5

If a number is divisible by 6, it is an even number

If a number is divisible by 6, it is divisible by 2

Not so, e.g. 3 × 3 = 9 BUT 9 is NOT divisible by 6. If you want to show that a statement is not always true, find one example that shows it is wrong - like we did here

2.

If a number is divisible by 6, what must the final digit of the number be?

4 or 8

0, 2, 4, 6, or 8

2, 4 or 8

0, 1, 2, 4, 6, or 8

Knowing your 6 times table will give you the answer to this one

3.

What is a multiple of a number?

A number that is divisible exactly by the first number

An odd number

The number you get when you multiply the first number by itself

An even number

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. 3 goes into 18 exactly 6 times because 3 × 6 = 18

4.

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

Add an odd number to it

Multiply it by 2

Add an even number to it

Divide it by 2

Adding an even number or multiplying by 2 will result in an even number. Dividing by 2 could produce an odd number, an even number or a fraction. Adding an odd number to an even number always results in an odd number

5.

If a number is divisible by 4, what must the final digit of the number be?

4 or 8

0, 2, 4, 6, or 8

2, 4 or 8

0, 1, 2, 4, 6, or 8

Knowing your 4 times table will give you the answer to this one

6.

Which words do not describe the numbers 3, 6, 9 and 12?

Factors of 36

Whole numbers

Square numbers

Multiples of three

They are all whole numbers, factors of 36 and multiples of 3. The only square number in the group is 9

7.

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

Either a positive or negative number

Either a positive number or negative number or zero

A positive number

A negative number

For example: 2 x -4 = -8 (a negative number); 9 x -7 = -63 (a negative number); 4 x -5 = -200 (a negative number)

8.

Which of the following is not a square number?

4

9

12

16

A square number is formed by multiplying another number with itself : 4 = 2 × 2; 9 = 3 × 3; 16 = 4 × 4. Note: 1 × 1 = 1

9.

Which words do not describe the numbers 5, 10, 15 and 20?

Multiples of 5

Whole numbers

Each number is 5 more than the previous number

Even numbers

They are all whole numbers, and multiples of 5. Also, each number is five more than the previous number but 5 and 15 are not even

10.

Which of the following statements is true?

There are more positive numbers than negative numbers

For every positive number there is a negative number

The smallest negative even number is -2

The smallest negative odd number is -1

For every positive number there is a negative number. -1 is the HIGHEST negative odd number and -2 is the HIGHEST negative even number – negative numbers get lower and lower as you count backwards