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Answer Key — Teacher Copy
Mathematics

Integers Mastery: Number Line, Opposites, and Operations (Grade 6)

Integers: order, number line, opposites, absolute value, addition and subtraction
Date: July 13, 2026  •  40 questions  •  Total: 100 points
StudentAayush Nayak
Class6-B
GradeGrade 6
SchoolYBIS
1. True / False (1 pts)
Zero is its own additive inverse.
✓ Answer
True
2. True / False (1 pts)
The opposite of a negative integer is a positive integer.
✓ Answer
True
3. True / False (1 pts)
The absolute value of −9 is greater than the absolute value of 7.
✓ Answer
True
4. True / False (1 pts)
Moving left on the number line increases the value of an integer.
✓ Answer
False
5. True / False (1 pts)
The sum of two integers with the same sign has the same sign as the addends.
✓ Answer
True
6. True / False (1 pts)
The difference of any integer and zero is the integer itself.
✓ Answer
True
7. True / False (1 pts)
Subtraction of integers is commutative.
✓ Answer
False
8. True / False (1 pts)
There are exactly four integers strictly between −2 and 3.
✓ Answer
True
9. True / False (1 pts)
The absolute value of any integer is never negative.
✓ Answer
True
10. True / False (1 pts)
Adding −5 to an integer always makes it larger.
✓ Answer
False
11. Multiple Choice (2 pts)
Which integer is 6 units to the left of 3 on the number line?
✓ Answer
B. −3
12. Multiple Choice (2 pts)
What is the successor of −7?
✓ Answer
B. −6
13. Multiple Choice (2 pts)
Which comparison is correct?
✓ Answer
C. −5 < −2
14. Multiple Choice (2 pts)
Which integer has the least value?
✓ Answer
B. −15
15. Multiple Choice (2 pts)
If you start at −2 and move 9 steps to the right, where do you land?
✓ Answer
C. 7
16. Multiple Choice (2 pts)
Which pair of integers are additive inverses?
✓ Answer
A. −8 and 8
17. Multiple Choice (2 pts)
Which expression is equal to −14?
✓ Answer
A. (−9) + (−5)
18. Multiple Choice (2 pts)
The absolute value of −11 is
✓ Answer
B. 11
19. Multiple Choice (2 pts)
Which situation represents a negative integer?
✓ Answer
C. A hiker descends 40 meters
20. Multiple Choice (2 pts)
How many integers are there from −2 to 4 inclusive?
✓ Answer
C. 7
21. Fill in the Blank (2 pts)
The opposite of −13 is _____ .
✓ Answer
13
22. Fill in the Blank (2 pts)
The integer 0 has an absolute value of _____ .
✓ Answer
0
23. Fill in the Blank (2 pts)
Moving 7 units to the left from 5 lands on _____ .
✓ Answer
-2
24. Fill in the Blank (2 pts)
The sum of −4 and 9 is _____ .
✓ Answer
5
25. Fill in the Blank (2 pts)
The additive inverse of 26 is _____ .
✓ Answer
-26
26. Fill in the Blank (2 pts)
The integer that is 3 more than −12 is _____ .
✓ Answer
-9
27. Fill in the Blank (2 pts)
The result of 18 − (−5) is _____ .
✓ Answer
23
28. Fill in the Blank (2 pts)
The distance between −8 and 3 on the number line is _____ units.
✓ Answer
11
29. Fill in the Blank (2 pts)
The predecessor of 0 is _____ .
✓ Answer
-1
30. Fill in the Blank (2 pts)
The value of (−7) + (−6) + 4 is _____ .
✓ Answer
-9
31. Word Problem (5 pts)
A city's temperature at 6 PM is −3°C. By midnight, it drops by 5°C. What is the temperature at midnight? Show your working.
✎ Worked Solution
Step 1: Compute change: −3 − 5 = −8
Step 2: Interpret result as the midnight temperature
Answer: −8°C
32. Word Problem (5 pts)
A bank account has a balance of ₹120. Then ₹150 is withdrawn, and later ₹40 is deposited. What is the final balance? Show your working.
✎ Worked Solution
Step 1: Net change = −150 + 40 = −110
Step 2: Final balance = 120 + (−110) = 10
Answer: ₹10
33. Word Problem (5 pts)
An elevator is on floor 2 (ground is 0). It goes down 5 floors and then up 3 floors. Which floor is it on now? Show your working.
✎ Worked Solution
Step 1: Position after moves = 2 − 5 + 3
Step 2: Calculate: 2 − 5 = −3; −3 + 3 = 0
Answer: Floor 0
34. Word Problem (5 pts)
A submarine is at a depth of −150 m. It dives 85 m more and then rises 120 m. What is its final depth? Show your working.
✎ Worked Solution
Step 1: Depth change = −85 + 120 = 35
Step 2: Final depth = −150 + 35 = −115
Answer: −115 m
35. Word Problem (5 pts)
In a game, a team earns 6 points, then loses 10 points, then earns 8 points. What is the net score change? Show your working.
✎ Worked Solution
Step 1: Net change = 6 − 10 + 8
Step 2: Calculate: 6 − 10 = −4; −4 + 8 = 4
Answer: +4 points
36. Word Problem (5 pts)
A hiker starts at sea level (0 m), climbs 35 m, descends 60 m, and then climbs 20 m. What is the final elevation relative to sea level? Show your working.
✎ Worked Solution
Step 1: Net elevation = 35 − 60 + 20
Step 2: Compute: 35 − 60 = −25; −25 + 20 = −5
Answer: −5 m
37. Word Problem (5 pts)
On a number line, you start at −9, move 12 units right, then 7 units left. Where do you end up? Show your working.
✎ Worked Solution
Step 1: Final position = −9 + 12 − 7
Step 2: Calculate: −9 + 12 = 3; 3 − 7 = −4
Answer: −4
38. Word Problem (5 pts)
A stock changes by +3, −5, −4, and +6 points in one day. What is the overall change by the end of the day? Show your working.
✎ Worked Solution
Step 1: Net change = 3 − 5 − 4 + 6
Step 2: Compute: 3 − 5 = −2; −2 − 4 = −6; −6 + 6 = 0
Answer: 0 points
39. Word Problem (5 pts)
A mountain peak is at an elevation of +2,345 m, and a nearby valley is at −1,280 m. What is the difference in elevation between them? Show your working.
✎ Worked Solution
Step 1: Difference = 2,345 − (−1,280)
Step 2: Compute: 2,345 + 1,280 = 3,625
Answer: 3,625 m
40. Word Problem (5 pts)
City X is 4°C in the afternoon and falls by 11°C by dawn. City Y is −2°C at 10 PM and falls by 6°C by dawn. Which city is colder at dawn, and by how many degrees? Show your working.
✎ Worked Solution
Step 1: City X dawn temp = 4 − 11 = −7°C; City Y dawn temp = −2 − 6 = −8°C
Step 2: Compare: −8°C is 1°C lower than −7°C
Answer: City Y is colder by 1°C