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Mathematics

Integers Mastery: Number Lines, Order, and Operations (Grade 6)

Integers: number line, ordering, and operations
Date: July 13, 2026  •  Questions: 40  •  Estimated time: 35 minutes
Score
____ / 100
Student Name
Class / Section
Grade / Year
Teacher
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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 absolute value of any integer is always positive. (1 pt)
True
False
3. Moving left on a number line decreases the value of an integer. (1 pt)
True
False
4. The sum of two odd negative integers is a negative even integer. (1 pt)
True
False
5. The difference of two equal integers is zero. (1 pt)
True
False
6. -3 is greater than -1. (1 pt)
True
False
7. The product of a positive and a negative integer is positive. (1 pt)
True
False
8. The opposite of the predecessor of 2 is -1. (1 pt)
True
False
9. Any integer added to zero remains unchanged. (1 pt)
True
False
10. There are infinitely many integers between 0 and 1. (1 pt)
True
False

11. Which integer has the greatest value? (2 pts)
A. -7
B. -3
C. -12
D. -5
12. Which integer is 7 units to the left of 0 on the number line? (2 pts)
A. 7
B. -7
C. 0
D. 1
13. The successor of -9 is (2 pts)
A. -10
B. -8
C. 8
D. 10
14. How many integers are strictly between -3 and 2? (2 pts)
A. 3
B. 4
C. 5
D. 6
15. Which integer best represents a deposit of ₹350? (2 pts)
A. -350
B. 0
C. 350
D. 35
16. Start at -2 and move 6 steps to the right. Where do you land? (2 pts)
A. -8
B. 4
C. 6
D. -4
17. Evaluate (-5) + (-7). (2 pts)
A. -12
B. 12
C. -2
D. 2
18. Evaluate 18 - (-9). (2 pts)
A. 9
B. 27
C. -9
D. -27
19. The opposite of -14 is (2 pts)
A. -14
B. 0
C. 14
D. 1
20. Which list is ordered from least to greatest? (2 pts)
A. -5, -2, 0, 3
B. 3, 0, -2, -5
C. -2, -5, 0, 3
D. 0, -5, -2, 3

21. The integer located 10 units to the right of 0 is   . (2 pts)
22. The additive inverse of 23 is   . (2 pts)
23. The absolute value | -12 | equals   . (2 pts)
24. A withdrawal of $45 can be represented by the integer   . (2 pts)
25. To subtract an integer, you add its   . (2 pts)
26. The predecessor of 0 is   . (2 pts)
27. The sum -8 + 3 + -4 equals   . (2 pts)
28. The integer between -1 and 1 is   . (2 pts)
29. If the temperature rises from -6°C to 5°C, the change is   degrees. (2 pts)
30. The opposite of the opposite of -3 is   . (2 pts)

31. A bank account has a balance of $120. The owner makes a purchase of $75 and later deposits $40. What is the new balance? Show your working. (5 pts)
Working:
Answer:
32. An elevator is at floor -2. It goes up 9 floors, then down 4 floors. Which floor is it on now? Show your working. (5 pts)
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Answer:
33. In a city, the morning temperature is -3°C. It drops by 7°C by noon, then rises by 5°C in the afternoon. What is the final temperature? Show your working. (5 pts)
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Answer:
34. A hiker stands at 250 m above sea level and descends 420 m into a canyon. What is the elevation relative to sea level after the descent? Show your working. (5 pts)
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35. What is the distance on the number line between -11 and 6? Show your working. (5 pts)
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36. In a game, a player starts with 0 points, then gains 8, loses 15, and gains 12. What is the final score? Show your working. (5 pts)
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Answer:
37. A submarine is at -150 m. It descends 60 m and then ascends 95 m. What is its depth now? Show your working. (5 pts)
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Answer:
38. City A has a low of -9°C and City B has a low of -4°C. How many degrees colder is City A than City B? Show your working. (5 pts)
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39. The sum of three consecutive integers is -6. What are the integers? Show your working. (5 pts)
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Answer:
40. A robot starts at position 5 on a number line, moves left 12 units, then right 7 units. Where does it stop? Show your working. (5 pts)
Working:
Answer: