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now
A melted snowman
If the temperature is -2⁰ and rises by 5⁰, it will be 3⁰. That's too hot for snowmen!

Negative Numbers 2 (Difficult)

Negative numbers often appear in science and weather. This 11 Plus Maths quiz challenges you to apply them in calculations and understand their real-world importance.

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Fascinating Fact:

The freezing point of carbon dioxide is minus seventy eight degrees Celsius, which is why dry ice turns into gas instead of liquid.

In 11 Plus Maths, pupils learn to use negative numbers when solving equations, reading temperatures, and interpreting graphs. Mastering these skills improves logical reasoning and numerical confidence.

  • Freezing Point: The temperature at which a substance changes from liquid to solid.
  • Dry Ice: The solid form of carbon dioxide that turns directly into gas without melting.
  • Negative Temperature: Any temperature below zero on a Celsius scale.
What happens when you add two negative numbers?

When you add two negatives, the total becomes more negative. For example, -4 + -3 equals -7.

Why does dry ice not turn into liquid?

Dry ice changes directly from solid to gas because carbon dioxide skips the liquid phase at normal air pressure.

How are negative numbers used in temperature?

They show values below zero, such as freezing weather or scientific measurements in extremely cold conditions.

1 .
What is the answer to the given calculation?
-12 + 8 - 7 + 16
5
4
3
2
We can group positive and negative numbers together:
-12 + 8 - 7 + 16 = (8 + 16) - (12 + 7) = 24 - 19 = 5
2 .
What is the answer to the given calculation?
-3 + 10 - 8 + 16
15
14
13
12
Rearranging the problem may help:
-3 + 10 - 8 + 16 = (10 - 3) = (16 - 8) = 7 + 8 = 15
3 .
What is the answer to the given calculation?
-16 + 5 - 14 + 20
-10
-5
0
5
We can group positive and negative numbers together:
-16 + 5 - 14 + 20 = (20 + 5) - (16 = 14) = 25 - 30 = -5
4 .
What is the answer to the given calculation?
12 - 24 + 20 - 6
4
2
0
-2
24 - 12 = 12, so 12 - 24 = -12
20 - 6 = 14
14 - 12 = 2
5 .
What is the answer to the given calculation?
12 + -10 - 8 + 4
2
0
-2
-4
Remember: adding a negative is the same as subtracting a positive:
12 + -10 - 8 + 4 is the same as 12 - 10 - 8 + 4
6 .
What is the answer to the given calculation?
-18 - 20 - 8 + 20
10
-10
-26
-13
The -20 and +20 in this question cancel each other out:
-18 - 20 - 8 + 20 = -18 - 8 = -26
7 .
What is the answer to the given calculation?
-4 + 6 - 8 + 10
-4
0
4
8
Rearranging the problem might be of use:
-4 + 6 - 8 + 10 is the same as (6 + 10) - (4 + 8) = 16 - 12 = 4
8 .
What is the answer to the given calculation?
-16 + 5 - 14 + 15
-5
10
0
-10
It may help you top group positive and negative numbers together:
-16 + 5 - 14 + 15 = (5 + 15) - (16 + 14) = 20 - 30 = -10
9 .
What is the answer to the given calculation?
-18 + 15 - 15 + 20
-1
0
1
2
The -15 and +15 in this particular calculation cancel one another out:
-18 + 15 - 15 + 20 = -18 + 20 = 2
10 .
What is the answer to the given calculation?
-13 + 7 - 2 + -30
-22
38
22
-38
Remember: adding a negative is the same as subtracting a positive:
-13 + 7 - 2 + -30 = -13 + 7 - 2 - 30 = -38
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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