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Answer Key — Teacher Copy
Mathematics

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

Integers: number line, ordering, opposites, absolute value, and integer operations
Date: July 10, 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)
On a number line, −7 is to the right of −3.
✓ Answer
False
3. True / False (1 pts)
The absolute value of −12 is 12.
✓ Answer
True
4. True / False (1 pts)
The sum of two integers with the same sign has the same sign as the addends.
✓ Answer
True
5. True / False (1 pts)
The opposite of 9 is −9, and their sum is −18.
✓ Answer
False
6. True / False (1 pts)
Moving 5 units left from 2 lands on −3.
✓ Answer
True
7. True / False (1 pts)
Every negative integer is less than every positive integer.
✓ Answer
True
8. True / False (1 pts)
The distance between −4 and 5 on the number line is 1.
✓ Answer
False
9. True / False (1 pts)
The integer immediately before 0 is 1.
✓ Answer
False
10. True / False (1 pts)
Adding zero changes an integer’s value.
✓ Answer
False
11. Multiple Choice (2 pts)
Which integer best represents a loss of 18 points in a game?
✓ Answer
B. −18
12. Multiple Choice (2 pts)
Which number is farthest to the left on the number line?
✓ Answer
A. −15
13. Multiple Choice (2 pts)
The absolute value of −8 equals:
✓ Answer
B. 8
14. Multiple Choice (2 pts)
The successor of −3 is:
✓ Answer
B. −2
15. Multiple Choice (2 pts)
How many integers lie strictly between −2 and 3?
✓ Answer
B. 4
16. Multiple Choice (2 pts)
Starting at −6 and moving 9 units to the right lands on:
✓ Answer
C. 3
17. Multiple Choice (2 pts)
Which expression has the greatest value?
✓ Answer
A. −2 + 5
18. Multiple Choice (2 pts)
Which statement is true?
✓ Answer
B. |−5| = 5
19. Multiple Choice (2 pts)
Which list is in ascending order?
✓ Answer
B. −7, −3, 0, 4
20. Multiple Choice (2 pts)
The distance from 0 to the integer representing a depth of 23 meters below sea level is:
✓ Answer
C. 23
21. Fill in the Blank (2 pts)
The opposite of −14 is _____.
✓ Answer
14
22. Fill in the Blank (2 pts)
The integer 6 units to the left of 2 is _____.
✓ Answer
−4
23. Fill in the Blank (2 pts)
The absolute value of −19 is _____.
✓ Answer
19
24. Fill in the Blank (2 pts)
The predecessor of −10 is _____.
✓ Answer
−11
25. Fill in the Blank (2 pts)
Zero is _____ positive nor negative.
✓ Answer
neither
26. Fill in the Blank (2 pts)
Moving from −3 to 5 is a change of _____ units.
✓ Answer
8
27. Fill in the Blank (2 pts)
A credit of ₹150 can be written as _____.
✓ Answer
+150
28. Fill in the Blank (2 pts)
A temperature drop of 12°C is recorded as _____.
✓ Answer
−12°C
29. Fill in the Blank (2 pts)
The sum 7 + (−9) equals _____.
✓ Answer
−2
30. Fill in the Blank (2 pts)
The result of 15 − (−4) is _____.
✓ Answer
19
31. Word Problem (5 pts)
At 6 a.m., the temperature was −3°C. By noon, it increased by 7°C, then by evening it dropped by 5°C. What was the temperature at 8 p.m.?
✎ Worked Solution
Step 1: Start at −3°C and add 7°C: −3 + 7 = 4°C
Step 2: Subtract the drop of 5°C: 4 − 5 = −1°C
Answer: −1°C
32. Word Problem (5 pts)
An elevator starts at floor −2, goes up 9 floors, then down 4 floors. Which floor is it on now?
✎ Worked Solution
Step 1: Go up 9 floors: −2 + 9 = 7
Step 2: Go down 4 floors: 7 − 4 = 3
Answer: Floor 3
33. Word Problem (5 pts)
A student’s lunch card has ₹45. He buys a meal for ₹62 and later reloads ₹50. What is the final balance?
✎ Worked Solution
Step 1: Subtract the meal cost: 45 − 62 = −17
Step 2: Add the reload: −17 + 50 = 33
Answer: ₹33
34. Word Problem (5 pts)
On a number line, start at −8, move 12 units to the right, then 7 units to the left. Where do you land?
✎ Worked Solution
Step 1: −8 + 12 = 4
Step 2: 4 − 7 = −3
Answer: −3
35. Word Problem (5 pts)
In a quiz, each correct answer earns +4 points and each incorrect answer earns −2 points. A player has 6 correct and 3 incorrect answers. What is the total score?
✎ Worked Solution
Step 1: Points from correct answers: 6 × 4 = 24
Step 2: Points from incorrect answers: 3 × (−2) = −6
Step 3: Total score: 24 + (−6) = 18
Answer: 18 points
36. Word Problem (5 pts)
A hiker is at 150 m above sea level. She descends 220 m into a valley. What is her elevation relative to sea level?
✎ Worked Solution
Step 1: Represent descent as subtraction: 150 − 220
Step 2: Compute: 150 − 220 = −70
Answer: −70 m (70 m below sea level)
37. Word Problem (5 pts)
A submarine is at −80 m. It dives 35 m deeper, then rises 50 m. What is its final depth?
✎ Worked Solution
Step 1: Dive deeper: −80 − 35 = −115
Step 2: Rise: −115 + 50 = −65
Answer: −65 m
38. Word Problem (5 pts)
On Monday, the high temperature was 12°C. On Tuesday, it was 7°C lower than Monday. On Wednesday, it was 5°C higher than Tuesday. What was Wednesday’s high?
✎ Worked Solution
Step 1: Tuesday: 12 − 7 = 5°C
Step 2: Wednesday: 5 + 5 = 10°C
Answer: 10°C
39. Word Problem (5 pts)
A team’s yardage on five plays was: +7, −4, −3, +12, −10. What is the net yardage?
✎ Worked Solution
Step 1: Sum gains and losses: 7 + (−4) + (−3) + 12 + (−10)
Step 2: Combine: (7 + 12) + (−4 − 3 − 10) = 19 + (−17)
Step 3: 19 + (−17) = 2
Answer: 2 yards
40. Word Problem (5 pts)
Lake P has a surface temperature of −11°C, while Lake Q is at 2°C. Which lake is colder, and what is the temperature difference?
✎ Worked Solution
Step 1: Compare: −11°C vs 2°C → −11°C is colder
Step 2: Find difference: |−11 − 2| = |−13| = 13
Answer: Lake P is colder by 13°C