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Negative Numbers Level 7

Use negative numbers in basic arithmetic and algebraic calculations.

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This is level 7: mixed You can earn a trophy if you get at least 12 correct and you do this activity online.

1. Find the fifth term of the linear sequence which begins 24, 17, 10...

Correct Wrong

2. Subtract eight squared from five squared.

Correct Wrong

3. The temperature at noon was \(10^\circ \)C. The temperature at midnight was \(-5^\circ \)C. What is the difference in degrees between those two temperatures?

Correct Wrong

4. A very small ant stands on a number line.
It is 14 away from 9.
What number might the ant be standing on? There are two possibilities.
Type in the two possible answers separated by a comma.

Correct Wrong

5. A pin is stuck in a number line.
It is 13 away from -8.
What number might the pin be stuck into?
Type in the two possible answers separated by a comma.

Correct Wrong

6. A dot is drawn on a number line.
It is 76 away from -27.
What number might the dot be drawn on?
Type in the two possible answers separated by a comma.

Correct Wrong

7. What is the missing number in the calculation \( (-8) - \blacksquare = 9\)?

Correct Wrong

8. What is the missing number in the calculation \( \blacksquare - (-4) = 3\)?

Correct Wrong

9. Cristina got these scores 11 -12 5 -7
What was her total score?

Correct Wrong

10. What is negative three cubed?

Correct Wrong

11. What is the cube root of negative one hundred and twenty five?

Correct Wrong

12. Find the average (mean) of the following set of numbers.

$$\{ -6, 6, -10, -8, 28, \}$$

Correct Wrong

13. What gives the answer negative five when divided by negative nine?

Correct Wrong

14. A bank account is considered to be 'in the black' or 'in credit' when it contains a positive amount of money. An account is considered to be 'in the red' or 'in debt' when it contains a negative amount of money.

    \( \oplus \) Thursday, February 15, 2024: Opening balance £12
    \( \oplus \) Saturday, February 17, 2024: A withdrawl of £78 was made.
    \( \oplus \) Tuesday, February 20, 2024: A deposit of £32 was made.
    \( \oplus \) Thursday, February 22, 2024: A withdrawl of £71 was made.

What was the final balance (How many pounds are in the account after these transactions)?

Correct Wrong

15. Here are the transactions for a different account.

    \( \oplus \) Tuesday, February 13, 2024: Opening balance £269
    \( \oplus \) Wednesday, February 14, 2024: A deposit of £320 was made.
    \( \oplus \) Friday, February 16, 2024: A withdrawl of £764 was made.
    \( \oplus \) Wednesday, February 21, 2024: A withdrawl of £511 was made.

What was the final balance?

Correct Wrong

Check

This is Negative Numbers level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6

Or here are some other negative number exercises to try:
Temperatures Negative Magic Reading Scales Inequalities

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Description of Levels

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Level 1 - Simple subtraction

        Example: 5 - 12

Level 2 - Adding to a negative number

        Example: -7 + 9

Level 3 - Addition and Subtraction

        Example: -10 + -2

Level 4 - Multiplication

        Example: -3 x 2

Level 5 - Division

        Example: -10 ÷ 5

Level 6 - Substitution

        Example: If a=-3 and b=-7 evaluate 7a - 8b - 6

Level 7 - Mixed

        Example: A mixed set of word problems

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Help Video

Adding and Subtracting Negative Numbers

As shown in the video, a number line is a really useful resource to help calculating sums and differences. Click on the image below for an interactive number line:

Number Line

Multiplying and Dividing Negative Numbers

When multiplying or dividing negative numbers remember this:

Same Signs \( \rightarrow \) Positive Answer

Different Signs \( \rightarrow \) Negative Answer

Example 1: Same signs (a positive multiplied by a positive) gives a positive answer:

\( 12 \times 6 = 72 \)

Example 2: Different signs (a positive multiplied by a negative) gives a negative answer:

\( 12 \times (-6) = -72 \)

Example 3: Different signs (a negative divided by a positive) gives a negative answer:

\( (-12) \div 6 = -2 \)

Example 4: Same signs (a negative divided by a negative) gives a positive answer:

\( (-12) \div (-6) = 2 \)

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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