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Class 6 Integers — practice questions with answers

Integers · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Which of the following is NOT an integer?
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Answer: C) 0.5
Integers are whole numbers and their negatives, including zero. 0.5 is a fraction (one half), so it is not an integer.
2. Compute: −20 + 12 + (−5)
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Answer: B) -13
Work left to right: −20 + 12 = −8, then −8 + (−5) = −13.
3. Compute: −8 − (−3) − 2
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Answer: C) -7
Rewrite subtractions as additions of opposites: −8 + 3 + (−2). Then −8 + 3 = −5, and −5 + (−2) = −7.
4. Find the value of (−24) + (−17) + 0.
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Answer: A) −41
Adding 0 changes nothing, so this is just (−24) + (−17). Same sign, so add the absolute values and keep the sign: 24 + 17 = 41, giving −41. Answering −7 comes from subtracting the two numbers, which is the rule for different signs, not for two negatives.
5. A team's points in a treasure hunt change round by round: −15, then +22, then −9, then +5. The team starts at 0. What are its points at the end, and is that above or below the start?
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Answer: D) 3 points, above the start
Add in order: 0 + (−15) = −15, then −15 + 22 = 7, then 7 + (−9) = −2, then −2 + 5 = 3. The team finishes on 3 points, just above where it started. Adding every round as a positive gives 51, and losing track of one sign is what turns 3 into −3.
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