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Mathematics

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

Integers: number line, ordering, opposites, absolute value, and integer operations
100 pts
40 questions • ~35 min
Aayush Nayak
6-B
Grade 6
YBIS
Home
Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
True / False Zero is its own additive inverse.
1 pt
True
False
Answer: True
2.
True / False On a number line, −7 is to the right of −3.
1 pt
True
False
Answer: False
3.
True / False The absolute value of −12 is 12.
1 pt
True
False
Answer: True
4.
True / False The sum of two integers with the same sign has the same sign as the addends.
1 pt
True
False
Answer: True
5.
True / False The opposite of 9 is −9, and their sum is −18.
1 pt
True
False
Answer: False
6.
True / False Moving 5 units left from 2 lands on −3.
1 pt
True
False
Answer: True
7.
True / False Every negative integer is less than every positive integer.
1 pt
True
False
Answer: True
8.
True / False The distance between −4 and 5 on the number line is 1.
1 pt
True
False
Answer: False
9.
True / False The integer immediately before 0 is 1.
1 pt
True
False
Answer: False
10.
True / False Adding zero changes an integer’s value.
1 pt
True
False
Answer: False
11.
Multiple Choice Which integer best represents a loss of 18 points in a game?
2 pts
A. +18
B. −18
C. 0
D. 1
Answer: B. −18
12.
Multiple Choice Which number is farthest to the left on the number line?
2 pts
A. −15
B. −9
C. 0
D. 7
Answer: A. −15
13.
Multiple Choice The absolute value of −8 equals:
2 pts
A. −8
B. 8
C. −16
D. 0
Answer: B. 8
14.
Multiple Choice The successor of −3 is:
2 pts
A. −4
B. −2
C. +3
D. 0
Answer: B. −2
15.
Multiple Choice How many integers lie strictly between −2 and 3?
2 pts
A. 3
B. 4
C. 5
D. 6
Answer: B. 4
16.
Multiple Choice Starting at −6 and moving 9 units to the right lands on:
2 pts
A. −15
B. 0
C. 3
D. −3
Answer: C. 3
17.
Multiple Choice Which expression has the greatest value?
2 pts
A. −2 + 5
B. −7 + 4
C. 3 + (−9)
D. −1 + (−1)
Answer: A. −2 + 5
18.
Multiple Choice Which statement is true?
2 pts
A. −2 > 1
B. |−5| = 5
C. The opposite of 0 is 1
D. −8 is greater than −2
Answer: B. |−5| = 5
19.
Multiple Choice Which list is in ascending order?
2 pts
A. 4, 0, −3, −7
B. −7, −3, 0, 4
C. −3, −7, 0, 4
D. 0, −7, −3, 4
Answer: B. −7, −3, 0, 4
20.
Multiple Choice The distance from 0 to the integer representing a depth of 23 meters below sea level is:
2 pts
A. −23
B. 0
C. 23
D. −1
Answer: C. 23
21.
Fill in the Blank The opposite of −14 is _____.
2 pts
Answer: 14
22.
Fill in the Blank The integer 6 units to the left of 2 is _____.
2 pts
Answer: −4
23.
Fill in the Blank The absolute value of −19 is _____.
2 pts
Answer: 19
24.
Fill in the Blank The predecessor of −10 is _____.
2 pts
Answer: −11
25.
Fill in the Blank Zero is _____ positive nor negative.
2 pts
Answer: neither
26.
Fill in the Blank Moving from −3 to 5 is a change of _____ units.
2 pts
Answer: 8
27.
Fill in the Blank A credit of ₹150 can be written as _____.
2 pts
Answer: +150
28.
Fill in the Blank A temperature drop of 12°C is recorded as _____.
2 pts
Answer: −12°C
29.
Fill in the Blank The sum 7 + (−9) equals _____.
2 pts
Answer: −2
30.
Fill in the Blank The result of 15 − (−4) is _____.
2 pts
Answer: 19
31.
Word Problem 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.?
5 pts
Working:
Answer:
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 An elevator starts at floor −2, goes up 9 floors, then down 4 floors. Which floor is it on now?
5 pts
Working:
Answer:
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 A student’s lunch card has ₹45. He buys a meal for ₹62 and later reloads ₹50. What is the final balance?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Subtract the meal cost: 45 − 62 = −17
Step 2: Add the reload: −17 + 50 = 33
Answer: ₹33
34.
Word Problem On a number line, start at −8, move 12 units to the right, then 7 units to the left. Where do you land?
5 pts
Working:
Answer:
Worked Solution:
Step 1: −8 + 12 = 4
Step 2: 4 − 7 = −3
Answer: −3
35.
Word Problem 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?
5 pts
Working:
Answer:
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 A hiker is at 150 m above sea level. She descends 220 m into a valley. What is her elevation relative to sea level?
5 pts
Working:
Answer:
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 A submarine is at −80 m. It dives 35 m deeper, then rises 50 m. What is its final depth?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Dive deeper: −80 − 35 = −115
Step 2: Rise: −115 + 50 = −65
Answer: −65 m
38.
Word Problem 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?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Tuesday: 12 − 7 = 5°C
Step 2: Wednesday: 5 + 5 = 10°C
Answer: 10°C
39.
Word Problem A team’s yardage on five plays was: +7, −4, −3, +12, −10. What is the net yardage?
5 pts
Working:
Answer:
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 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?
5 pts
Working:
Answer:
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
40
Total Questions
100
Total Points
~35
Minutes