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Negative numbers are those to the left of zero on a numberline.

Negative Numbers 3 (Medium)

Negative numbers help make sense of debts, freezing days, and below-zero measurements. In 11 Plus Maths, they test logical thinking and careful calculation.

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Fascinating Fact:

Dividing a negative by a positive gives a negative answer, proof that bad attitudes spread faster than good ones in maths too.

In 11 Plus Maths, negative numbers appear in a range of problems. Pupils learn to add, subtract, multiply, and divide values below zero, using number lines and rules to find accurate results.

Key Terms

Negative Number: A number less than zero, written with a minus sign.
Positive Number: A number greater than zero, written without a sign or with a plus sign.
Sign Rule: The rule that decides whether the result of multiplication or division is positive or negative.

Parents can explore more about the 11 Plus exam in our 11 Plus sample questions guide for parents.

Frequently Asked Questions (Click to see answers)

What happens when you divide a negative by a positive?

The result is always negative. For example, -12 ÷ 3 equals -4.

Why are negative numbers important in real life?

They are used to represent losses, temperature drops, and depths below sea level, making them essential for real-world problem solving.

What is the rule for multiplying two negative numbers?

When two negative numbers are multiplied, the result becomes positive because the signs cancel each other out.

Try These Related Quizzes

1 .

What is the correct answer to the given calculation?
17 - 23 + -5 + 10 = ?

-1

-35

You could group the positive and negative numbers together:
17 - 23 + -5 + 10 = (-23 + -5) + (17 + 10) = -28 = 27 = -1

2 .

What is the correct answer to the given calculation?
6 x -2 = ?

-12

-4

6 x 2 = 12, so 6 x -2 = -12

3 .

What is the correct answer to the given calculation?
-9 + 13 - -4 = ?

-4

-9 + 13 is the same as 13 - 9, which equals 4. Next, 4 - -4 is the same as 4 + 4, which equals 8

4 .

What is the correct answer to the given calculation?
12 - 24 + 8 - -4 = ?

-8

-4

If we group the positives and negatives then the problem looks like this:
(-24 - -4) + (12 + 8) = -20 + 20 = 0. Remember: subtracting a minus number is the same as adding a positive one

5 .

What is the correct answer to the given calculation?
-55 - 20 = ?

-75

-35

55 + 20 = 75, so -55 - 20 = -75

6 .

What is the correct answer to the given calculation?
-16 ÷ 4 = ?

-4

-64

16 ÷ 4 = 4, so -16 ÷ 4 will equal -4

7 .

Jon’s bank balance is minus £25 (he owes the bank £25). If he puts £30 into his account, what will Jon’s new balance be?

-£5

-£55

£5

£55

-25 + 30 = 5. Overdrawn bank accounts are one of the places you will come across negative numbers in real life. They are best avoided!

8 .

What is the correct answer to the given calculation?
-5 x -5 = ?

-25

-5

A negative times a negative equals a positive, so -5 x -5 is the same as 5 x 5

9 .

What is the correct answer to the given calculation?
-100 ÷ -10 = ?

-10

1,000

-1,000

A negative divided by a negative equals a positive, so -100 ÷ -10 is the same as 100 ÷ 10

10 .

What is the correct answer to the given calculation?
(-4 x 4) ÷ -2 = ?

-32

-8

(-4 x 4) ÷ -2 = -16 ÷ -2. A negative divided by a negative equals a positive, so -16 ÷ -2 is the same as 16 ÷ 2 = 8

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

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