Welcome to this, the second of our medium level Eleven Plus maths quizzes on negative numbers. These are numbers less than zero and, as we found out in the last quiz, they are surprisingly common – minus temperatures and bank overdraughts, for example, are both negative numbers (also known as minus numbers).

In the previous quiz each question was accompanied by a number line to make things easier for you. In this one, there is no such help – you’ll just have to rely on your wits! Perhaps visualising a number line will help, or perhaps you have your own technique.

Think of negative numbers in just the same way positive ones, with one difference – the higher the negative number, the lower it will be (-78 is lower than -28 for example). Keep practicing and you’ll soon be a dab hand at negative numbers.

Are we ready? Then let’s begin.

1.

Which of the following expressions is correct?

-7.5 < -8

-7 > -6

0.5 < -0.5

-1.75 > -1.8

With negative numbers, the higher they are the lower: 1.8 is greater than 1.75, but -1.8 is less than -1.75

2.

What happens if you add a negative number to a positive number?

It's the same as taking away a positive number

It's the same as adding a positive number

It's the same as adding zero

It's impossible

Adding a negative is the same as taking a positive:

5 - 2 = 3, and 5 + -2 = 3

5 - 2 = 3, and 5 + -2 = 3

3.

What is the correct answer to the given calculation?

-16 + 24 - 8 = ?

-16 + 24 - 8 = ?

0

32

-32

-8

-16 + 24 is the same as 24 - 16, which equals 8. Then subtract 8 to give 0

4.

If the temperature is 5 degrees above zero, then falls by 8 degrees, what is the new temperature?

0⁰

-5⁰

-3⁰

3⁰

You could break this up to make it easier:

5 - 5 = 0, and 0 - 3 = -3

5 - 5 = 0, and 0 - 3 = -3

5.

Which of the following expressions is wrong?

0 < -1

1 > 0

-1 > -2

2 > -4

Zero falls between positive and negative numbers, so it is greater than negatives but less than positives

6.

Which of the following expressions is correct?

100 < -100

-10 > 10

10 > -10

-100 > 100

Remember: positive numbers are always greater than negative ones

7.

Which of the following expressions is wrong?

-7 < 74

74 > -7

74 < -7

7 > -74

Negative numbers are always less than positive ones, so 74 is of course greater than -7

8.

What is the correct answer to the given calculation?

11 - 18 + 7 - -4 = ?

11 - 18 + 7 - -4 = ?

0

4

-1

-4

11 - 18 + 7 - -4 is the same as (11 + 7) - 18 - -4 = 18 - 18 - -4 = 0 - -4 = 4

When subtracting a negative number, it's the same as adding a positive one

When subtracting a negative number, it's the same as adding a positive one

9.

What is the correct answer to the given calculation?

-12 - 8 = ?

-12 - 8 = ?

0

20

-19

-20

12 + 8 = 20, so -12 - 8 = -20

10.

What is the correct answer to the given calculation?

3 - 17 + 4 + -2 = ?

3 - 17 + 4 + -2 = ?

-10

-12

-14

-16

You could group the positive and negative numbers together:

3 - 17 + 4 + -2 = (-17 + -2) + (3 + 4) = -19 + 7 = -12

3 - 17 + 4 + -2 = (-17 + -2) + (3 + 4) = -19 + 7 = -12