Chapter 10 · Class 6 CBSE · MCQ Test
Integers MCQ Test — Class 6 CBSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Integers — MCQ Questions
1Which of the following statements about integers is TRUE?
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Answer: All whole numbers are integers.
Hint: Recall the definition of whole numbers and integers and their relationship.
Solution:
Whole numbers include 0, 1, 2, 3, ...
Integers include ..., -3, -2, -1, 0, 1, 2, 3, ...
Since all whole numbers are present in the set of integers, the statement 'All whole numbers are integers' is true.
2A number line shows points. Point P is at -3. If point R is located 5 units to the right of P, what integer does R represent?
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Answer: 2
Hint: Moving to the right on a number line means adding.
Solution:
Point P is at -3.
Moving 5 units to the right means adding 5 to the current position.
So, R = -3 + 5.
-3 + 5 = 2.
3Which of the following comparisons between integers is correct?
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Answer: -7 < -4
Hint: On a number line, numbers to the right are always greater than numbers to the left.
Solution:
Compare -5 and 2: -5 is to the left of 2, so -5 < 2. (Option A is incorrect)
Compare 0 and -3: 0 is to the right of -3, so 0 > -3. (Option B is incorrect)
Compare -7 and -4: -7 is to the left of -4, so -7 < -4. (Option C is correct)
Compare 1 and 6: 1 is to the left of 6, so 1 < 6. (Option D is incorrect)
4A diver is at a depth of 50 meters below sea level. If 'sea level' is represented by 0, how would you represent the diver's position as an integer?
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Answer: -50
Hint: "Below sea level" indicates a negative value relative to zero.
Solution:
Sea level is taken as the reference point, represented by 0.
"Below sea level" implies a position in the negative direction.
A depth of 50 meters below sea level is represented as -50.
5When adding a negative integer to any integer on a number line, in which direction do you always move?
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Answer: Left
Hint: Adding a negative number is like subtracting its positive counterpart. Think about which direction subtraction moves you on the number line.
Solution:
Adding a positive integer means moving to the right on the number line.
Adding a negative integer (e.g., + (-X)) is equivalent to subtracting its positive counterpart (e.g., - X).
Therefore, when adding a negative integer, you always move to the left on the number line.
6Rahul says that when you subtract a negative integer from a positive integer, the result will always be smaller than the original positive integer. Is he correct? Why or why not?
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Answer: No, because subtracting a negative integer is the same as adding a positive integer, making the result larger.
Hint: Think about what happens when you 'subtract a negative'. It's a common rule for integer operations.
Solution:
Subtracting a negative integer is equivalent to adding its positive opposite (additive inverse). For example, 5 - (-3) is the same as 5 + 3.
When you add a positive integer to another integer, the result becomes larger.
Therefore, subtracting a negative integer from a positive integer will make the result larger than the original positive integer. Rahul is incorrect.
7Calculate the value of -15 + 8.
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Answer: -7
Hint: When adding integers with different signs, find the difference between their absolute values and use the sign of the integer with the larger absolute value.
Solution:
We are adding two integers with different signs: -15 (negative) and 8 (positive).
Find the difference between their absolute values: | -15 | = 15, | 8 | = 8. The difference is 15 - 8 = 7.
The integer with the larger absolute value is -15, which is negative.
Therefore, the result takes the sign of -15, so -15 + 8 = -7.
8What integer should be added to -9 to get 4?
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Answer: 13
Hint: You can set this up as an equation: -9 + x = 4. To find x, you need to isolate it.
Solution:
Let the unknown integer be x.
The problem can be written as an equation: -9 + x = 4.
To find x, add 9 to both sides of the equation.
-9 + x + 9 = 4 + 9
x = 13.
9Which of the following expressions has the smallest value?
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Answer: -1 + (-4)
Hint: Calculate the value of each expression first, then compare them to find the smallest.
Solution:
Evaluate option A: 5 + (-2) = 5 - 2 = 3.
Evaluate option B: -3 + 6 = 3.
Evaluate option C: -1 + (-4) = -1 - 4 = -5.
Evaluate option D: 0 - (-2) = 0 + 2 = 2.
Comparing the values (3, 3, -5, 2), the smallest value is -5.
10Which of the following statements about integers is TRUE?
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Answer: The largest negative integer is -1.
Hint: Consider the definition of positive and negative integers and their arrangement on the number line.
Solution:
Option A: The smallest positive integer is 1, not 0 (0 is neither positive nor negative). So, A is false.
Option B: Negative integers are ..., -3, -2, -1. On the number line, -1 is closest to 0 among negative numbers, making it the largest negative integer. So, B is true.
Option C: Positive integers continue infinitely (1, 2, 3, ...), so there is no largest positive integer. So, C is false.
Option D: Every positive integer is greater than every negative integer. So, D is false.
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Tips for Integers MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Integers MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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