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Mathematics

Whole Numbers Exploration Worksheet

Whole Numbers and Their Properties
Date: May 31, 2026  •  Questions: 40  •  Estimated time: 35 minutes
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. Counting numbers have meaning only when referring to specific objects. (1 pt)
True
False
2. Zero is not used when counting discrete objects. (1 pt)
True
False
3. Every whole number has a successor. (1 pt)
True
False
4. The additive identity of whole numbers is 1. (1 pt)
True
False
5. 1 is the only number that is simultaneously a power of both 2 and 3. (1 pt)
True
False
6. The associative property applies to addition of whole numbers. (1 pt)
True
False
7. Multiplication of whole numbers is always commutative. (1 pt)
True
False
8. Subtraction of whole numbers is commutative. (1 pt)
True
False
9. Division of whole numbers is commutative. (1 pt)
True
False
10. The successor of a whole number is always greater than the original number. (1 pt)
True
False

11. How many whole numbers are smaller than 8? (2 pts)
A. 7
B. 8
C. 6
D. 5
12. What is the additive identity of whole numbers? (2 pts)
A. 0
B. 1
C. 2
D. 3
13. Which number is simultaneously a power of both 2 and 3? (2 pts)
A. 1
B. 0
C. 2
D. 6
14. What is the successor of the smallest whole number? (2 pts)
A. 1
B. 2
C. 0
D. 3
15. What is the successor of 8,06,998? (2 pts)
A. 8,07,000
B. 8,06,998
C. 8,06,999
D. 8,06,997
16. Which property is demonstrated by the equation 2 + 4 = 4 + 2? (2 pts)
A. Associative
B. Commutative
C. Distributive
D. Closure
17. Which property is used in the expression 64 × 12 + 64 × 14? (2 pts)
A. Distributive
B. Commutative
C. Associative
D. Closure
18. Which pattern is often observed in whole numbers? (2 pts)
A. Arithmetic sequence
B. Geometric sequence
C. Exponential growth
D. Harmonic sequence
19. Which property allows rearranging numbers in multiplication? (2 pts)
A. Commutative
B. Associative
C. Distributive
D. Identity
20. Which operation among whole numbers is not commutative? (2 pts)
A. Addition
B. Multiplication
C. Subtraction
D. Counting

21. The set of numbers used for counting is known as   . (2 pts)
22. The number 0 is often referred to as the   element in addition. (2 pts)
23. When 8,06,998 is increased by one, it becomes   . (2 pts)
24. The number that comes immediately after a given whole number is its   . (2 pts)
25. The result of adding two numbers is called their   . (2 pts)
26. In the expression 64 × (12 + 14), the   property is applied. (2 pts)
27. Every whole number has a   which comes immediately before it. (2 pts)
28. Subtraction is not a   operation. (2 pts)
29. We do not use 0 for   since it represents the absence of quantity. (2 pts)
30. The   property allows numbers to be regrouped during addition. (2 pts)

31. If there are 25 students in a class and each student has 2 pencils, how many pencils are there in total? Show your working. (5 pts)
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Answer:
32. A school has three sections with 4, 5, and 6 teachers respectively. What is the total number of teachers? Show your working. (5 pts)
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33. 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. (5 pts)
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34. If you had 2 chocolates and gave both away, how many chocolates would you have left? Show your working. (5 pts)
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35. Using the distributive property, calculate 102 × 6 by breaking 102 into 100 and 2. Show your working. (5 pts)
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36. A shop sells oranges at 3 units each. How much would 15 oranges cost? Show your working. (5 pts)
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37. 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. (5 pts)
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38. Raman incurs a daily travel expense of 150. How much does he spend in the month of June (30 days)? Show your working. (5 pts)
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39. 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. (5 pts)
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Answer:
40. Using the distributive property, compute (15 - 3) × 20 by expanding the expression. Show your working. (5 pts)
Working:
Answer: