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Operations Quiz - CBSE Class 7 Mathematics

Free practice quiz: Operations (CBSE Class 7 Mathematics). 19 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 7 Mathematics practice quiz has 19 multiple-choice questions on Operations, and 19 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Adding Integers with Signs

  • Same signs: add the sizes and keep the common sign.
  • Different signs: subtract the smaller size from the larger, then use the sign of the larger size.
  • An integer added to its opposite always gives zero.
Both negative
\[(-a) + (-b) = -(a + b)\]
Adding a negative
\[a + (-b) = a - b\]

Common mistake: Adding the sizes when the signs are different, instead of subtracting the smaller size from the larger one.

Subtraction Means Adding the Opposite

  • To subtract an integer, add its additive inverse (its opposite).
  • Subtracting a negative number is the same as adding the positive number.
Subtract by adding inverse
\[a - b = a + (-b)\]
Minus a negative
\[a - (-b) = a + b\]
Negative minus positive
\[-a - b = -(a + b)\]

Common mistake: Treating a - (-b) as a - b. The two minus signs together become a plus sign.

Sign Rules for Multiplication

  • Multiply the sizes first, then decide the sign.
  • Same signs give a positive product. Different signs give a negative product.
  • Any integer multiplied by zero gives zero.
Positive times negative
\[a \times (-b) = -(a \times b)\]
Negative times positive
\[(-a) \times b = -(a \times b)\]
Negative times negative
\[(-a) \times (-b) = a \times b\]

Common mistake: Thinking a negative times a negative is negative. Two negatives multiplied always give a positive product.

Sign Rules for Division

  • Divide the sizes, then use the same sign rules as multiplication.
  • Same signs give a positive quotient. Different signs give a negative quotient.
Different signs, b not zero
\[(-a) \div b = a \div (-b) = -(a \div b)\]
Both negative, b not zero
\[(-a) \div (-b) = a \div b\]

Common mistake: Forgetting the negative sign when only one of the two numbers is negative, and giving a positive answer.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. What is the result of adding 3 and -8?

    Show answer

    Answer: B. -5

    Adding a positive number (3) and a negative number (-8) results in subtraction: 3 - 8 = -5.

  2. What is the result of dividing -15 by 3?

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    Answer: A. -5

    Dividing a negative number by a positive number results in a negative number: -15 / 3 = -5.

  3. Subtract: (-6) - (-3).

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    Answer: A. -3

    Subtracting a negative is equivalent to adding its positive: (-6) - (-3) = -6 + 3 = -3.

  4. Determine: (-5) * 6.

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    Answer: B. -30

    Multiplying a negative number with a positive number results in a negative product: (-5) * 6 = -30.

  5. Find the result of 21 / (-3).

    Show answer

    Answer: A. -7

    Dividing a positive number by a negative results in a negative quotient: 21 / (-3) = -7.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. Calculate the result of subtracting -4 from 7.
  2. What is -3 multiplied by 4?
  3. Simplify: 6 + (-6).
  4. Calculate: (-8) * 0.
  5. What is the result of (-9) / (-1)?
  6. Multiply: 5 * (-7).
  7. Evaluate: -3 - 5.
  8. What is -9 - (-9)?
  9. What is the result of -20 / 5?
  10. Simplify: 4 - (-12).
  11. Calculate the result of (-18) + (-7).
  12. Calculate: (-8) - 14.
  13. Simplify: 14 + (-18).
  14. What is the result of (-25) * (-4)?

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