← Back to view Tip: choose "Save as PDF" as your printer for a clean PDF
Mathematics

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

Integers: order, number line, opposites, absolute value, addition and subtraction
Date: July 13, 2026  •  Questions: 40  •  Estimated time: 35 minutes
Score
____ / 100
Student Name
Class / Section
Grade / Year
Teacher
School
Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. Zero is its own additive inverse. (1 pt)
True
False
2. The opposite of a negative integer is a positive integer. (1 pt)
True
False
3. The absolute value of −9 is greater than the absolute value of 7. (1 pt)
True
False
4. Moving left on the number line increases the value of an integer. (1 pt)
True
False
5. The sum of two integers with the same sign has the same sign as the addends. (1 pt)
True
False
6. The difference of any integer and zero is the integer itself. (1 pt)
True
False
7. Subtraction of integers is commutative. (1 pt)
True
False
8. There are exactly four integers strictly between −2 and 3. (1 pt)
True
False
9. The absolute value of any integer is never negative. (1 pt)
True
False
10. Adding −5 to an integer always makes it larger. (1 pt)
True
False

11. Which integer is 6 units to the left of 3 on the number line? (2 pts)
A. 9
B. −3
C. 0
D. 6
12. What is the successor of −7? (2 pts)
A. −8
B. −6
C. 6
D. 8
13. Which comparison is correct? (2 pts)
A. −12 > −9
B. −9 > −7
C. −5 < −2
D. 0 < −1
14. Which integer has the least value? (2 pts)
A. −4
B. −15
C. 0
D. 7
15. If you start at −2 and move 9 steps to the right, where do you land? (2 pts)
A. −11
B. 11
C. 7
D. −7
16. Which pair of integers are additive inverses? (2 pts)
A. −8 and 8
B. 5 and 5
C. 0 and 1
D. −3 and −3
17. Which expression is equal to −14? (2 pts)
A. (−9) + (−5)
B. (−10) + 3
C. 20 − 7
D. (−6) − 5
18. The absolute value of −11 is (2 pts)
A. −11
B. 11
C. −1
D. 0
19. Which situation represents a negative integer? (2 pts)
A. A balloon rises 12 meters
B. A bank balance increases by 150 rupees
C. A hiker descends 40 meters
D. A temperature rises by 3°C
20. How many integers are there from −2 to 4 inclusive? (2 pts)
A. 5
B. 6
C. 7
D. 8

21. The opposite of −13 is   . (2 pts)
22. The integer 0 has an absolute value of   . (2 pts)
23. Moving 7 units to the left from 5 lands on   . (2 pts)
24. The sum of −4 and 9 is   . (2 pts)
25. The additive inverse of 26 is   . (2 pts)
26. The integer that is 3 more than −12 is   . (2 pts)
27. The result of 18 − (−5) is   . (2 pts)
28. The distance between −8 and 3 on the number line is   units. (2 pts)
29. The predecessor of 0 is   . (2 pts)
30. The value of (−7) + (−6) + 4 is   . (2 pts)

31. 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. (5 pts)
Working:
Answer:
32. 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. (5 pts)
Working:
Answer:
33. 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. (5 pts)
Working:
Answer:
34. 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. (5 pts)
Working:
Answer:
35. 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. (5 pts)
Working:
Answer:
36. 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. (5 pts)
Working:
Answer:
37. On a number line, you start at −9, move 12 units right, then 7 units left. Where do you end up? Show your working. (5 pts)
Working:
Answer:
38. 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. (5 pts)
Working:
Answer:
39. 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. (5 pts)
Working:
Answer:
40. 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. (5 pts)
Working:
Answer: