Lucy
Ask the AI Tutor
Need help with Negative Numbers 3 (Medium)? Ask our AI Tutor!
Lucy AI Tutor - Lucy
Connecting with Tutor...
Please wait while we establish connection
Lucy
Hi! I'm Lucy, your AI tutor. How can I help you with Negative Numbers 3 (Medium) today?
now
Negative numbers on a number line
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.

Explore the Topic →
(quiz starts below)

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.

  • 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.
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.

1 .
What is the correct answer to the given calculation?
17 - 23 + -5 + 10 = ?
-1
0
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
-12
4
-4
6 x 2 = 12, so 6 x -2 = -12
3 .
What is the correct answer to the given calculation?
-9 + 13 - -4 = ?
0
4
8
-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
4
0
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
35
75
55 + 20 = 75, so -55 - 20 = -75
6 .
What is the correct answer to the given calculation?
-16 ÷ 4 = ?
4
-4
64
-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
0
25
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
-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
-32
8
-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)

© Copyright 2016-2025 - Education Quizzes
Work Innovate Ltd - Design | Development | Marketing