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Negative Numbers (Difficult)
-6 + 5 - 4 + 8 = 3.

Negative Numbers (Difficult)

Negative numbers can be tricky, but mastering them helps with graphs, temperature changes, and finances. This 11 Plus Maths quiz tests deeper understanding and accuracy.

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(quiz starts below)

Fascinating Fact:

On a graph, the negative x-axis and negative y-axis show where numbers hide when they don’t want to be positive.

In 11 Plus Maths, pupils work with negative numbers on number lines and graphs. They learn how to combine positives and negatives in calculations and use coordinates correctly in all four quadrants.

Key Terms

  • Coordinate Plane: A grid used to locate points with x and y values, which can be positive or negative.
  • Quadrant: One of the four sections on a graph divided by the x and y axes.
  • Axis: A straight line used to measure distances in graphs, usually labelled x (horizontal) and y (vertical).

Parents can find more 11 Plus study resources in our guide to 11 Plus courses and materials.

Frequently Asked Questions (Click to see answers)

How are negative numbers shown on a graph?

They are shown to the left of zero on the x-axis and below zero on the y-axis, marking values that are less than zero.

What does it mean when both coordinates are negative?

When both x and y are negative, the point appears in the bottom-left quadrant of the graph.

Why do we use negative numbers in coordinates?

Negative numbers allow us to plot points in all directions from zero, helping represent data across all four quadrants.

Try These Related Quizzes

1 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-6 + 5 - 4 + 10
-5
-4
5
4
Starting at -6: adding 5 brings you to -1. Subtracting 4 brings you to -5. Adding 10 brings you to 5
2 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-8 - 10 - 4 + 10
16
-12
12
0
Starting at -10: adding 10 brings you to 0. Subtracting 4 brings you to -4. Subtracting 8 brings you to -12
3 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-8 + 5 - 5 + 10
12
-2
2
28
Starting at -5: adding 5 brings you to 0. Subtracting 8 brings you to -8. Adding 10 brings you to 2
4 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-1 + 5 - 4 + 8
6
8
2
-8
Starting at -1: adding 8 brings you to 7. Subtracting 4 brings you to 3. Adding 5 brings you to 8
5 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

6 - 12 + 10 - 3
1
5
14
-5
Starting at -12: adding 10 brings you to -2. Subtracting 3 brings you to -5. Adding 6 brings you to 1
6 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-6 + 5 - 4 + 8
-1
-3
4
3
Starting at 8: subtracting 4 brings you to 4. Subtracting 6 brings you to -2. Adding 5 brings you to 3
7 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-6 + 5 - 1 + 10
8
7
2
1
Starting at 10: subtracting 6 brings you to 4. Subtracting 1 brings you to 3. Adding 5 brings you to 8
8 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-6 + 4 - 4 + 11
3
-3
5
1
Starting at 4: subtracting 4 brings you to 0. Subtracting 6 brings you to -6. Adding 11 brings you to 5
9 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

-2 + 3 - 4 + 5
2
14
-14
-2
Starting at -2: subtracting 4 brings you to -6. Adding 3 brings you to -3. Adding 5 brings you to 2
10 .
What is the answer to the given additions and subtractions?
Use this portion of the NUMBER LINE to help you do these questions:

... -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 ...

6 + 5 - 4 + 2
5
-5
8
9
Starting at -4: adding 2 brings you to -2. Adding 5 brings you to 3. Adding 6 brings you to 9
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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