Generated May 31, 2026 at 1:02 PM from Math-Ch-03.pdf
Mathematics
Whole Numbers Exploration Worksheet
Whole Numbers and Their Properties
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
Counting numbers have meaning only when referring to specific objects.
True
False
Answer:
True
2.
1 pt
True / False
Zero is not used when counting discrete objects.
True
False
Answer:
True
3.
1 pt
True / False
Every whole number has a successor.
True
False
Answer:
True
4.
1 pt
True / False
The additive identity of whole numbers is 1.
True
False
Answer:
False
5.
1 pt
True / False
1 is the only number that is simultaneously a power of both 2 and 3.
True
False
Answer:
True
6.
1 pt
True / False
The associative property applies to addition of whole numbers.
True
False
Answer:
True
7.
1 pt
True / False
Multiplication of whole numbers is always commutative.
True
False
Answer:
True
8.
1 pt
True / False
Subtraction of whole numbers is commutative.
True
False
Answer:
False
9.
1 pt
True / False
Division of whole numbers is commutative.
True
False
Answer:
False
10.
1 pt
True / False
The successor of a whole number is always greater than the original number.
True
False
Answer:
True
11.
2 pts
Multiple Choice
How many whole numbers are smaller than 8?
A. 7
B. 8
C. 6
D. 5
Answer:
A. 7
12.
2 pts
Multiple Choice
What is the additive identity of whole numbers?
A. 0
B. 1
C. 2
D. 3
Answer:
A. 0
13.
2 pts
Multiple Choice
Which number is simultaneously a power of both 2 and 3?
A. 1
B. 0
C. 2
D. 6
Answer:
A. 1
14.
2 pts
Multiple Choice
What is the successor of the smallest whole number?
A. 1
B. 2
C. 0
D. 3
Answer:
A. 1
15.
2 pts
Multiple Choice
What is the successor of 8,06,998?
A. 8,07,000
B. 8,06,998
C. 8,06,999
D. 8,06,997
Answer:
C. 8,06,999
16.
2 pts
Multiple Choice
Which property is demonstrated by the equation 2 + 4 = 4 + 2?
A. Associative
B. Commutative
C. Distributive
D. Closure
Answer:
B. Commutative
17.
2 pts
Multiple Choice
Which property is used in the expression 64 × 12 + 64 × 14?
A. Distributive
B. Commutative
C. Associative
D. Closure
Answer:
A. Distributive
18.
2 pts
Multiple Choice
Which pattern is often observed in whole numbers?
A. Arithmetic sequence
B. Geometric sequence
C. Exponential growth
D. Harmonic sequence
Answer:
A. Arithmetic sequence
19.
2 pts
Multiple Choice
Which property allows rearranging numbers in multiplication?
A. Commutative
B. Associative
C. Distributive
D. Identity
Answer:
A. Commutative
20.
2 pts
Multiple Choice
Which operation among whole numbers is not commutative?
A. Addition
B. Multiplication
C. Subtraction
D. Counting
Answer:
C. Subtraction
21.
2 pts
Fill in the Blank
The set of numbers used for counting is known as _____ .
Answer:
whole numbers
22.
2 pts
Fill in the Blank
The number 0 is often referred to as the _____ element in addition.
Answer:
identity
23.
2 pts
Fill in the Blank
When 8,06,998 is increased by one, it becomes _____ .
Answer:
8,06,999
24.
2 pts
Fill in the Blank
The number that comes immediately after a given whole number is its _____ .
Answer:
successor
25.
2 pts
Fill in the Blank
The result of adding two numbers is called their _____ .
Answer:
sum
26.
2 pts
Fill in the Blank
In the expression 64 × (12 + 14), the _____ property is applied.
Answer:
distributive
27.
2 pts
Fill in the Blank
Every whole number has a _____ which comes immediately before it.
Answer:
predecessor
28.
2 pts
Fill in the Blank
Subtraction is not a _____ operation.
Answer:
commutative
29.
2 pts
Fill in the Blank
We do not use 0 for _____ since it represents the absence of quantity.
Answer:
counting
30.
2 pts
Fill in the Blank
The _____ property allows numbers to be regrouped during addition.
Answer:
associative
31.
5 pts
Word Problem
If there are 25 students in a class and each student has 2 pencils, how many pencils are there in total? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply the number of students by the number of pencils per student.
Step 2: 25 × 2
Answer: 50 pencils
32.
5 pts
Word Problem
A school has three sections with 4, 5, and 6 teachers respectively. What is the total number of teachers? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Add the number of teachers in each section.
Step 2: 4 + 5 + 6
Answer: 15 teachers
33.
5 pts
Word Problem
In a test with 40 questions, if each wrong answer deducts 1 mark, how many marks are deducted when all answers are wrong? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply the number of questions by the deduction per question.
Step 2: 40 × 1
Answer: 40 marks deducted
34.
5 pts
Word Problem
If you had 2 chocolates and gave both away, how many chocolates would you have left? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Start with the total number of chocolates.
Step 2: Subtract the number given away: 2 - 2
Answer: 0 chocolates
35.
5 pts
Word Problem
Using the distributive property, calculate 102 × 6 by breaking 102 into 100 and 2. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Express 102 as 100 + 2
Step 2: Calculate 100 × 6 + 2 × 6
Answer: 600 + 12 = 612
36.
5 pts
Word Problem
A shop sells oranges at 3 units each. How much would 15 oranges cost? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Identify the cost per orange.
Step 2: Multiply the cost by the number of oranges: 15 × 3
Answer: 45 units
37.
5 pts
Word Problem
Amal supplies 15 litres of milk daily at a rate of 30 per litre. How much does he earn in a week? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Calculate daily earnings: 15 × 30
Step 2: Multiply by 7 for a week: (15 × 30) × 7
Answer: 3150
38.
5 pts
Word Problem
Raman incurs a daily travel expense of 150. How much does he spend in the month of June (30 days)? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply the daily expense by 30.
Step 2: 150 × 30
Answer: 4500
39.
5 pts
Word Problem
Sonu attends music class 4 days a week and Manu attends 3 days a week. Calculate the total number of days they attend in a year (assume 52 weeks). Show your working.
Working:
Answer:
Worked Solution:
Step 1: Calculate weekly attendance: 4 + 3 = 7 days
Step 2: Multiply by 52: 7 × 52
Answer: 364 days
40.
5 pts
Word Problem
Using the distributive property, compute (15 - 3) × 20 by expanding the expression. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Expand the expression to 15×20 - 3×20
Step 2: Compute the values: 300 - 60
Answer: 240
40
Total Questions
100
Total Points
~35
Minutes