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Mathematics

Whole Numbers: Properties, Operations, and Patterns — Grade 6 Review

Whole Numbers: introduction, properties, successors/predecessors, and patterns
Date: May 29, 2026  •  Questions: 40  •  Estimated time: 35 minutes
Score
____ / 100
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. Whole numbers include zero. (1 pt)
True
False
2. In this chapter, natural numbers do not include zero. (1 pt)
True
False
3. Whole numbers are closed under addition and multiplication. (1 pt)
True
False
4. Whole numbers are commutative under subtraction. (1 pt)
True
False
5. Whole numbers are commutative under division. (1 pt)
True
False
6. The additive identity for whole numbers is 1. (1 pt)
True
False
7. The multiplicative identity for whole numbers is 1. (1 pt)
True
False
8. 13 + 8 = 8 + 13. (1 pt)
True
False
9. 13 × 0 = 1. (1 pt)
True
False
10. The successor of the smallest whole number is 1. (1 pt)
True
False

11. How many whole numbers are smaller than 8? (2 pts)
A. 6
B. 7
C. 8
D. 9
12. The additive identity of whole numbers is: (2 pts)
A. 1
B. 0
C. 2
D. 3
13. Which number is a power of both 2 and 3? (2 pts)
A. 1
B. 0
C. 2
D. 3
14. The successor of the smallest whole number is: (2 pts)
A. 0
B. 1
C. 2
D. 3
15. Find the successor of 8,06,998. (2 pts)
A. 8,07,000
B. 8,06,999
C. 8,06,998
D. 8,06,997
16. Which property is illustrated by 291 × (125 × 8)? (2 pts)
A. Associative property
B. Closure property
C. Commutative property
D. Distributive property
17. Find 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
18. Which pair represents square numbers? (2 pts)
A. 2 × 2, 1 × 2
B. 2 × 2, 3 × 3
C. 1 × 3, 4 × 4
D. 2 × 3, 4 × 2
19. Which of the following is not a natural number (with natural numbers starting at 1)? (2 pts)
A. 8 × 6 ÷ 2
B. 3 × 4 − 4 × 3
C. 20 + 24 − 2
D. 18 + 5 − 5
20. Choose the correct use of the distributive property: 64 × 12 + 64 × 14 = (2 pts)
A. 12 × (64 + 14)
B. 64 × (12 + 14)
C. 14 × (64 + 12)
D. 12 × (64 + 64)

21. The smallest whole number is   . (2 pts)
22. The successor of 0 is   . (2 pts)
23. The predecessor of 2,997 is   . (2 pts)
24. The successor of 8,06,998 is   . (2 pts)
25. The additive identity for whole numbers is   . (2 pts)
26. The multiplicative identity for whole numbers is   . (2 pts)
27. Writing 102 × 6 as (100 + 2) × 6 uses the   property. (2 pts)
28. The equality 2 + 4 = 4 + 2 shows the   property of addition. (2 pts)
29. 291 × (125 × 8) = (291 × 125) × 8 illustrates the   property of multiplication. (2 pts)
30. Numbers used for counting (1, 2, 3, ...) are called   numbers. (2 pts)

31. Amal supplies 15 litres of milk daily at ₹30 per litre. How much does he earn in a week? Show your working. (5 pts)
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Answer:
32. Raman incurs a daily travel expense of ₹150 going to and from his office. How much does he spend on travel in the month of June? (5 pts)
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33. Sonu goes to music class four days a week and Manu goes three days a week. Calculate the total number of days they attend the class in a year (52 weeks). (5 pts)
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34. Find the product of the greatest 3-digit number and the greatest 2-digit number using a suitable property. (5 pts)
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35. Evaluate 64 × 12 + 64 × 14 using the distributive property. (5 pts)
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Answer:
36. Find the sum by grouping: 703 + 768 + 297 + 322. (5 pts)
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Answer:
37. Verify the property (a × b) × c = (b × a) × c by taking a = 1, b = 3, c = 2. Show both sides. (5 pts)
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38. Find the sum of the predecessors of 84,636 and 90,025. (5 pts)
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Answer:
39. How many whole numbers are smaller than 8? Show how you count them. (5 pts)
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40. Raj bought 119 pieces of a fabric for ₹3,567 each. He returned 19 pieces for a full refund. What is his net spending? (5 pts)
Working:
Answer: