Generated Jul 13, 2026 at 7:26 PM from manual-input
Mathematics
Integers Mastery: Number Lines, Order, and Operations (Grade 6)
Integers: number line, ordering, and 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.
1 pt
True / False
Zero is its own additive inverse.
True
False
Answer:
True
2.
1 pt
True / False
The absolute value of any integer is always positive.
True
False
Answer:
False
3.
1 pt
True / False
Moving left on a number line decreases the value of an integer.
True
False
Answer:
True
4.
1 pt
True / False
The sum of two odd negative integers is a negative even integer.
True
False
Answer:
True
5.
1 pt
True / False
The difference of two equal integers is zero.
True
False
Answer:
True
6.
1 pt
True / False
-3 is greater than -1.
True
False
Answer:
False
7.
1 pt
True / False
The product of a positive and a negative integer is positive.
True
False
Answer:
False
8.
1 pt
True / False
The opposite of the predecessor of 2 is -1.
True
False
Answer:
True
9.
1 pt
True / False
Any integer added to zero remains unchanged.
True
False
Answer:
True
10.
1 pt
True / False
There are infinitely many integers between 0 and 1.
True
False
Answer:
False
11.
2 pts
Multiple Choice
Which integer has the greatest value?
A. -7
B. -3
C. -12
D. -5
Answer:
B. -3
12.
2 pts
Multiple Choice
Which integer is 7 units to the left of 0 on the number line?
A. 7
B. -7
C. 0
D. 1
Answer:
B. -7
13.
2 pts
Multiple Choice
The successor of -9 is
A. -10
B. -8
C. 8
D. 10
Answer:
B. -8
14.
2 pts
Multiple Choice
How many integers are strictly between -3 and 2?
A. 3
B. 4
C. 5
D. 6
Answer:
B. 4
15.
2 pts
Multiple Choice
Which integer best represents a deposit of ₹350?
A. -350
B. 0
C. 350
D. 35
Answer:
C. 350
16.
2 pts
Multiple Choice
Start at -2 and move 6 steps to the right. Where do you land?
A. -8
B. 4
C. 6
D. -4
Answer:
B. 4
17.
2 pts
Multiple Choice
Evaluate (-5) + (-7).
A. -12
B. 12
C. -2
D. 2
Answer:
A. -12
18.
2 pts
Multiple Choice
Evaluate 18 - (-9).
A. 9
B. 27
C. -9
D. -27
Answer:
B. 27
19.
2 pts
Multiple Choice
The opposite of -14 is
A. -14
B. 0
C. 14
D. 1
Answer:
C. 14
20.
2 pts
Multiple Choice
Which list is ordered from least to greatest?
A. -5, -2, 0, 3
B. 3, 0, -2, -5
C. -2, -5, 0, 3
D. 0, -5, -2, 3
Answer:
A. -5, -2, 0, 3
21.
2 pts
Fill in the Blank
The integer located 10 units to the right of 0 is _____.
Answer:
10
22.
2 pts
Fill in the Blank
The additive inverse of 23 is _____.
Answer:
-23
23.
2 pts
Fill in the Blank
The absolute value | -12 | equals _____.
Answer:
12
24.
2 pts
Fill in the Blank
A withdrawal of $45 can be represented by the integer _____.
Answer:
-45
25.
2 pts
Fill in the Blank
To subtract an integer, you add its _____.
Answer:
additive inverse
26.
2 pts
Fill in the Blank
The predecessor of 0 is _____.
Answer:
-1
27.
2 pts
Fill in the Blank
The sum -8 + 3 + -4 equals _____.
Answer:
-9
28.
2 pts
Fill in the Blank
The integer between -1 and 1 is _____.
Answer:
0
29.
2 pts
Fill in the Blank
If the temperature rises from -6°C to 5°C, the change is _____ degrees.
Answer:
11
30.
2 pts
Fill in the Blank
The opposite of the opposite of -3 is _____.
Answer:
-3
31.
5 pts
Word Problem
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.
Working:
Answer:
Worked Solution:
Step 1: Model the changes: 120 - 75 + 40
Step 2: 120 - 75 = 45
Step 3: 45 + 40 = 85
Answer: $85
32.
5 pts
Word Problem
An elevator is at floor -2. It goes up 9 floors, then down 4 floors. Which floor is it on now? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Start at -2 and add the moves: -2 + 9 - 4
Step 2: -2 + 9 = 7
Step 3: 7 - 4 = 3
Answer: Floor 3
33.
5 pts
Word Problem
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.
Working:
Answer:
Worked Solution:
Step 1: Combine changes: -3 - 7 + 5
Step 2: -3 - 7 = -10
Step 3: -10 + 5 = -5
Answer: -5°C
34.
5 pts
Word Problem
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.
Working:
Answer:
Worked Solution:
Step 1: Compute final elevation: 250 - 420
Step 2: 250 - 420 = -170
Answer: -170 m (170 m below sea level)
35.
5 pts
Word Problem
What is the distance on the number line between -11 and 6? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Use distance formula: |6 - (-11)|
Step 2: 6 - (-11) = 6 + 11 = 17
Answer: 17 units
36.
5 pts
Word Problem
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.
Working:
Answer:
Worked Solution:
Step 1: Sum the changes: 0 + 8 - 15 + 12
Step 2: 0 + 8 = 8; 8 - 15 = -7; -7 + 12 = 5
Answer: 5 points
37.
5 pts
Word Problem
A submarine is at -150 m. It descends 60 m and then ascends 95 m. What is its depth now? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Combine movements: -150 - 60 + 95
Step 2: -150 - 60 = -210
Step 3: -210 + 95 = -115
Answer: -115 m
38.
5 pts
Word Problem
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.
Working:
Answer:
Worked Solution:
Step 1: Find the difference: |-9 - (-4)|
Step 2: -9 - (-4) = -9 + 4 = -5; absolute value = 5
Answer: 5°C colder
39.
5 pts
Word Problem
The sum of three consecutive integers is -6. What are the integers? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Let the integers be n, n+1, n+2; sum = n + (n+1) + (n+2) = -6
Step 2: 3n + 3 = -6 → 3n = -9 → n = -3
Step 3: Integers are -3, -2, -1
Answer: -3, -2, -1
40.
5 pts
Word Problem
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.
Working:
Answer:
Worked Solution:
Step 1: Compute final position: 5 - 12 + 7
Step 2: 5 - 12 = -7
Step 3: -7 + 7 = 0
Answer: 0
40
Total Questions
100
Total Points
~35
Minutes