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Integers Quiz - CBSE Class 6 Mathematics

Free practice quiz: Integers (CBSE Class 6 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 6 Mathematics practice quiz has 18 multiple-choice questions on Integers, and 18 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.

Start quiz: 18 questions, free

Learn the key ideas first ↓

Learn the key ideas Beta

Integers, Number Line, Absolute Value

  • Integers are whole numbers, their negatives, and zero. Negatives lie to the left of zero on the number line.
  • Absolute value is the distance of a number from zero. Distance is never negative.
  • Every integer a has an opposite, -a, at the same distance from zero on the other side.
Absolute value of a positive number
\[|a| = a \text{ for } a \ge 0\]
Absolute value of a negative number
\[|-a| = a \text{ for } a \ge 0\]
Opposite of an opposite
\[-(-a) = a\]

Common mistake: Writing the absolute value of a negative number as negative. Absolute value is a distance, so it is never negative.

Adding Integers

  • Same signs: add the absolute values and keep the common sign.
  • Different signs: subtract the smaller absolute value from the larger one. Use the sign of the number with the larger absolute value.
  • An integer plus its opposite always gives zero. They are called additive inverses.
Two negatives
\[(-a) + (-b) = -(a + b)\]
Adding a negative
\[a + (-b) = a - b\]
Additive inverse
\[a + (-a) = 0\]
Adding zero
\[a + 0 = a\]

Common mistake: Adding the absolute values when the signs are different. When the signs differ, you must subtract them instead.

Subtracting Integers

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

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

Multiplying and Dividing Integers

  • First multiply or divide the absolute values, then decide the sign.
  • Same signs give a positive answer. Different signs give a negative answer.
  • Work out the brackets first, then multiply or divide.
Negative times negative
\[(-a) \times (-b) = a \times b\]
Negative times positive
\[(-a) \times b = -(a \times b)\]
Dividing with different signs
\[(-a) \div b = -(a \div b),\; b \ne 0\]
Dividing two negatives
\[(-a) \div (-b) = a \div b,\; b \ne 0\]

Common mistake: Thinking a negative times a negative is negative. Two negatives multiplied or divided always give 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 sum of -3 and 5?

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    Answer: A. 2

    -3 + 5 = 2. When adding integers, combining a negative and a positive results in the difference between them.

  2. What is the product of -4 and 3?

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    Answer: A. -12

    -4 * 3 = -12. The product of a negative integer and a positive integer is always negative.

  3. If I have -5 apples and I get 8 more, how many apples do I have?

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    Answer: A. 3

    -5 + 8 = 3. Adding a positive quantity to a negative quantity can yield a positive result.

  4. What is -15 + (-5)?

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    Answer: B. -20

    -15 + (-5) = -20. Adding two negative integers results in a more negative integer.

  5. If you find a temperature of -5 degrees and it increases by 12 degrees, what is the final temperature?

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    Answer: A. 7 degrees

    -5 + 12 = 7. Calculating temperature changes involves basic addition of positive and negative integers.

Take the full quiz

More questions in this quiz

Answers and explanations are in the full quiz.

  1. What is the result of -7 + 2?
  2. What is -10 - (-4)?
  3. Which of the following is the result of (-1) * (-1)?
  4. What is the quotient of -16 divided by 4?
  5. What is -20 + 25?
  6. If a submarine is at -200 meters and it ascends 50 meters, what is its new position?
  7. What is the absolute value of -7?
  8. What is the sum of 7 and -9?
  9. If a cat is at -10 meters below sea level and rises up 15 meters, how far is it from sea level now?
  10. How many total points do you gain if you score -10 in a game and then score 30?
  11. What is the result of -2 * (3 - 5)?
  12. Which of the following statements is correct regarding the addition of an integer and its opposite?
  13. What is the result of an integer added to itself with a negative sign?

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