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A negative or minus symbol
A negative x a positive = a negative.

Negative Numbers 3 (Difficult)

Negative numbers often represent losses or drops in value. This 11 Plus Maths quiz explores how negatives are used in graphs, money, and scientific data.

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Fascinating Fact:

Negative numbers are used in stock markets to show falling prices, though the investors never seem to enjoy that bit of maths.

In 11 Plus Maths, negative numbers are essential for understanding temperature changes, financial graphs, and coordinates. Learning how to calculate accurately with negatives builds problem-solving confidence and precision.

  • Loss: When a number decreases or becomes smaller, often shown as a negative value.
  • Coordinate: A pair of numbers used to show a position on a graph, which can include negatives.
  • Number Line: A visual tool showing both positive and negative values arranged in order.
How are negative numbers used in money?

They show losses or debts. For example, -£50 means owing fifty pounds rather than having it.

Why are negative numbers used in stock markets?

They show when prices or values fall below their starting point, helping track financial rises and drops over time.

What is the opposite of a negative number?

The opposite is a positive number, which represents a gain, increase, or value greater than zero.

1 .
What is the answer to the given calculation?
(-8 + 5) x 2 = ?
-6
-26
6
-6.5
(-8 + 5) x 2 = -3 x 2 = -6. Remember: a negative times a positive equals a negative
2 .
What is the answer to the given calculation?
-6 x -6 = ?
-36
36
6
0
A negative times a negative equals a positive, so -6 x -6 is the same as 6 x 6 = 36
3 .
What is the answer to the given calculation?
-73 - 12 + -50 + 20 = ?
-86
-136
-115
-75
We can group the numbers into positives and negatives:
-73 - 12 + -50 + 20 = (-73 + -12 + -50) + 20 = -135 + 20 = -115
4 .
What is the answer to the given calculation?
-64 - 18 - 20 + 18 = ?
-104
-124
-44
-84
The -18 and +18 in this question cancel each other out:
-64 - 18 - 20 + 18 = -64 - 20 = -84
5 .
What is the answer to the given calculation?
-49 ÷ -7 = ?
7
343
-7
-343
Remember: a negative divided by a negative equals a positive
6 .
What is the answer to the given calculation?
(-15 - 10) ÷ 5 = ?
5
-5
-1
1
(-15 - 10) ÷ 5 = -25 ÷ 5 = -5. Remember: a negative divided by a positive equals a negative
7 .
What is the answer to the given calculation?
27 + -14 + -3 - 2 + 15 = ?
41
29
23
-7
We can group positive and negative numbers together:
27 + -14 + -3 - 2 + 15 = (-14 + -3 + -2) + (27 + 15) = -19 + 42 = 23
8 .
What is the answer to the given calculation?
-7 + 3 - 12 + 2 = ?
-24
-6
0
-14
Starting at -7: adding 3 makes -4, subtracting 12 makes -16, and adding 2 makes -14
9 .
What is the answer to the given calculation?
(2 x -4) ÷ 4 = ?
2
-4
-2
4
(2 x -4) ÷ 4 = -8 ÷ 4 = -2. Remember: a positive times a negative equals a negative, and a negative divided by a positive equals a negative
10 .
What is the answer to the given calculation?
(-20 ÷ -5) x 10 = ?
-40
-150
40
150
A negative divided by a negative equals a positive so -20 ÷ -5 is the same as 20 ÷ 5 = 4
4 x 10 = 40
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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