This is the third quiz in our Difficult series of Eleven Plus maths quizzes on Negative Numbers. If you have played the previous ones, then adding or subtracting negatives will be easy for you by now. But can you divide of multiply negatives? In this quiz we will present you with a mix of questions to test you!

Here are some hints:

- Positive + negative = negative – e.g. 4 + -4 = 0
- Positive + positive = positive – e.g. 4 + 4 = 8
- Negative + negative = negative – e.g. -4 + -4 = -8
- Positive x positive = positive – e.g. 4 x 4 = 16
- Negative x positive = negative – e.g. -4 x 4 = -16
- Negative x negative = positive – e.g. -4 x -4 = 16
- Positive ÷ positive = positive – e.g. 16 ÷ 4 = 4
- Positive ÷ negative = negative – e.g. 16 ÷ -4 = -4
- Negative ÷ negative = positive – e.g. -16 ÷ -4 = 4

That’s a lot to remember but, if you can, it will make your exams so much easier!

1.

What is the answer to the given calculation?

-49 ÷ -7 = ?

-49 ÷ -7 = ?

7

343

-7

-343

Remember: a negative divided by a negative equals a positive

2.

What is the answer to the given calculation?

(-8 + 5) x 2 = ?

(-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

3.

What is the answer to the given calculation?

-6 x -6 = ?

-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

4.

What is the answer to the given calculation?

27 + -14 + -3 - 2 + 15 = ?

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

27 + -14 + -3 - 2 + 15 = (-14 + -3 + -2) + (27 + 15) = -19 + 42 = 23

5.

What is the answer to the given calculation?

-73 - 12 + -50 + 20 = ?

-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

-73 - 12 + -50 + 20 = (-73 + -12 + -50) + 20 = -135 + 20 = -115

6.

What is the answer to the given calculation?

(-15 - 10) ÷ 5 = ?

(-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?

(-20 ÷ -5) x 10 = ?

(-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

4 x 10 = 40

8.

What is the answer to the given calculation?

-7 + 3 - 12 + 2 = ?

-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 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?

-64 - 18 - 20 + 18 = ?

-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

-64 - 18 - 20 + 18 = -64 - 20 = -84