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Mathematics

Understanding Whole Numbers

Whole Numbers
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 Whole numbers include zero.
1 pt
True
False
Answer: True
2.
True / False The difference between two whole numbers is always a whole number.
1 pt
True
False
Answer: False
3.
True / False The additive identity for whole numbers is 1.
1 pt
True
False
Answer: False
4.
True / False Whole numbers are commutative under multiplication.
1 pt
True
False
Answer: True
5.
True / False Zero is not considered a natural number.
1 pt
True
False
Answer: True
6.
True / False Multiplying a whole number by 0 gives the number itself.
1 pt
True
False
Answer: False
7.
True / False The number 1 is both a whole number and a natural number.
1 pt
True
False
Answer: True
8.
True / False Whole numbers are closed under division.
1 pt
True
False
Answer: False
9.
True / False The predecessor of a whole number is always a whole number.
1 pt
True
False
Answer: False
10.
True / False 0 is the only whole number that is not a natural number.
1 pt
True
False
Answer: True
11.
Multiple Choice Which property is shown by the equation 291 x (125 x 8) = (291 x 125) x 8?
2 pts
A. Associative property
B. Closure property
C. Commutative property
D. Distributive property
Answer: A. Associative property
12.
Multiple Choice How many whole numbers are smaller than 8?
2 pts
A. 7
B. 8
C. 9
D. 10
Answer: A. 7
13.
Multiple Choice The successor of the smallest whole number is:
2 pts
A. 1
B. 2
C. 3
D. 4
Answer: A. 1
14.
Multiple Choice Which of the following is not a natural number?
2 pts
A. 0
B. 1
C. 2
D. 3
Answer: A. 0
15.
Multiple Choice Find the successor of 8,06,998.
2 pts
A. 8,06,999
B. 8,07,000
C. 8,06,998
D. 8,06,997
Answer: A. 8,06,999
16.
Multiple Choice What is the sum of the predecessors of 84,636 and 90,025?
2 pts
A. 1,74,662
B. 1,74,661
C. 1,74,669
D. 1,74,659
Answer: D. 1,74,659
17.
Multiple Choice Which of the following depicts the distributive property?
2 pts
A. 64 x (12 + 14)
B. 64 x 12 + 64 x 14
C. 64 x (12 + 14)
D. 12 x (64 + 64)
Answer: B. 64 x 12 + 64 x 14
18.
Multiple Choice What is the additive identity for whole numbers?
2 pts
A. 1
B. 0
C. 2
D. 3
Answer: B. 0
19.
Multiple Choice Find the product of 2 × 2 that is shown as square numbers.
2 pts
A. 4
B. 1
C. 9
D. 16
Answer: A. 4
20.
Multiple Choice Take any two whole numbers and prove that whole numbers are not commutative under which operation?
2 pts
A. Addition
B. Multiplication
C. Subtraction
D. Division
Answer: D. Division
21.
Fill in the Blank The _____ property is used when we say 2+4=4+2.
2 pts
Answer: commutative
22.
Fill in the Blank The _____ of a number is the number that comes after it.
2 pts
Answer: successor
23.
Fill in the Blank The _____ process includes numbers like 0, 1, 2, 3...
2 pts
Answer: counting
24.
Fill in the Blank The identity element for multiplication of whole numbers is _____ .
2 pts
Answer: 1
25.
Fill in the Blank Distributive property of multiplication over addition is expressed as a(b _____ c) = ab + ac.
2 pts
Answer: +
26.
Fill in the Blank Zero is considered a _____ number but not a natural number.
2 pts
Answer: whole
27.
Fill in the Blank The predecessor of a whole number n is _____ .
2 pts
Answer: n-1
28.
Fill in the Blank Whole numbers are a set of numbers which start from _____ .
2 pts
Answer: zero
29.
Fill in the Blank Multiplication of a whole number by 1 leaves it _____ .
2 pts
Answer: unchanged
30.
Fill in the Blank The number zero has no _____ value.
2 pts
Answer: additive
31.
Word Problem A class has 24 students each needing 3 pencils. How many pencils are required?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Pencils per student = 3
Step 2: Total students = 24
Step 3: Total pencils = 3 × 24
Answer: 72 pencils
32.
Word Problem You have 5 apples and give away 2. How many apples are left?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Initial apples = 5
Step 2: Apples given away = 2
Step 3: Apples left = 5 - 2
Answer: 3 apples
33.
Word Problem If Amit earns $30 a day, find how much he earns in a week.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Earnings per day = $30
Step 2: Days per week = 7
Step 3: Total earnings = 30 × 7
Answer: $210
34.
Word Problem Sold 45 bananas at $1 each. How much money was made?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Bananas sold = 45
Step 2: Price per banana = $1
Step 3: Total earnings = 45 × 1
Answer: $45
35.
Word Problem Find the total cost if 8 notebooks are purchased for $2 each.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Cost per notebook = $2
Step 2: Total notebooks = 8
Step 3: Total cost = 8 × 2
Answer: $16
36.
Word Problem Rohit travels 15 km to his office and back. What is the total distance covered in 5 days?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Distance per day = 15 km x 2
Step 2: Total days = 5
Step 3: Total distance = 30 km × 5
Answer: 150 km
37.
Word Problem If a book costs $3, how much will 7 books cost?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Cost per book = $3
Step 2: Total books = 7
Step 3: Total cost = 3 × 7
Answer: $21
38.
Word Problem A bus travels 60 km to a city. How far does it travel in 3 trips?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Distance per trip = 60 km
Step 2: Total trips = 3
Step 3: Total distance = 60 × 3
Answer: 180 km
39.
Word Problem If one pencil costs $0.50, what is the cost of 20 pencils?
5 pts
Working:
Answer:
Worked Solution:
Step 1: Cost per pencil = $0.50
Step 2: Total pencils = 20
Step 3: Total cost = 0.50 × 20
Answer: $10
40.
Word Problem A rectangle has length 10 cm and width 5 cm. Find its area.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Length = 10 cm
Step 2: Width = 5 cm
Step 3: Area = 10 × 5
Answer: 50 cm²
40
Total Questions
100
Total Points
~35
Minutes