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Negative Numbers Level 7

Use negative numbers in basic arithmetic and algebraic calculations.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Description Help More

This is level 7: mixed You can earn a trophy if you get at least 9 correct and you do this activity online.

1. Find the fifth term of the linear sequence which begins 21, 15, 9...

Correct Wrong

2. Subtract ten squared from four squared.

Correct Wrong

3. The temperature at noon was \(11^\circ \)C. The temperature at midnight was \(-6^\circ \)C. What is the difference in degrees between those two temperatures?

Correct Wrong

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

Correct Wrong

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

Correct Wrong

6. Cristina got these scores 10 -4 10 -4
What was her total score?

Correct Wrong

7. What is negative seven cubed?

Correct Wrong

8. What is the cube root of negative seven hundred and twenty nine?

Correct Wrong

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

$$\{ -15, 9, -5, -15, 31, \}$$

Correct Wrong

10. What gives the answer negative nine when divided by negative eight?

Correct Wrong

11. 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, October 12, 2017: Opening balance £30
    \( \oplus \) Saturday, October 14, 2017: A withdrawl of £64 was made.
    \( \oplus \) Tuesday, October 17, 2017: A deposit of £16 was made.
    \( \oplus \) Thursday, October 19, 2017: A withdrawl of £60 was made.

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

Correct Wrong

12. Here are the transactions for a different account.

    \( \oplus \) Tuesday, October 10, 2017: Opening balance £327
    \( \oplus \) Wednesday, October 11, 2017: A deposit of £147 was made.
    \( \oplus \) Friday, October 13, 2017: A withdrawl of £506 was made.
    \( \oplus \) Wednesday, October 18, 2017: A withdrawl of £571 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.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/software/SW/Starter_of_the_day/Students/Negative_Numbers.asp?Level=7

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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Adding and Subtracting Negative Numbers

Video from Khan Academy.

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.

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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