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 an integer?
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Answer: A) -7
Integers are the whole numbers together with their negatives: ..., -2, -1, 0, 1, 2, ... -7 is a negative whole number, so it is an integer. Fractions and decimals like 43, 2.5 and 21 are not integers.
3. On a number line marked with integers, the distance from 0 to -6 is the same as the distance from 0 to which integer?
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Answer: A) 6
-6 and +6 are equally far from 0 (both 6 units). So the matching integer is 6.
4. Look at these positions on a hill route, taking the base camp as 0:
A = -15 m, B = +40 m, C = -30 m, D = +10 m.
Which point is the LOWEST?
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Answer: A) C
Lowest means the smallest integer. Among -15, 40, -30 and 10, the smallest is -30, which is point C.
5. How many integers x satisfy ALL of these at once: x is greater than -6, x is less than 6, and x is NOT equal to 0?
(Count every such integer.)
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Answer: D) 10
Integers strictly between -6 and 6 are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 — that is 11 integers. Removing 0 leaves 10 integers.