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Mathematics

Playing with Numbers: Place Value, Divisibility, and Number Sense — Practice Set

Whole numbers, place value, divisibility, factors and multiples (Class 6)
Date: August 16, 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. Zero is a whole number but not a natural number. (1 pt)
True
False
2. The successor of 9,999 is 10,000. (1 pt)
True
False
3. Whole numbers are closed under subtraction. (1 pt)
True
False
4. In the Indian system, 1,00,000 is called one lakh. (1 pt)
True
False
5. The Roman numeral XL represents 60. (1 pt)
True
False
6. Every prime number greater than 2 is odd. (1 pt)
True
False
7. If a number is divisible by 9, it is always divisible by 3. (1 pt)
True
False
8. The number 1 has exactly two distinct factors. (1 pt)
True
False
9. The additive identity for whole numbers is 1. (1 pt)
True
False
10. Multiplication of whole numbers is commutative. (1 pt)
True
False

11. Which of the following is the greatest number? (2 pts)
A. 705,200
B. 750,020
C. 700,520
D. 705,020
12. In 403,506, what is the value of the digit 5? (2 pts)
A. 5
B. 50
C. 500
D. 5,000
13. Which number is divisible by 6? (2 pts)
A. 234
B. 245
C. 253
D. 261
14. Which Roman numeral equals 94? (2 pts)
A. LXLIV
B. XCIV
C. IC
D. XCVIV
15. The LCM of 12 and 15 is: (2 pts)
A. 30
B. 45
C. 60
D. 120
16. Which of the following is a composite number? (2 pts)
A. 29
B. 31
C. 37
D. 39
17. Starting at 0 on a number line, you make 4 jumps of size 7 to the right. Where do you land? (2 pts)
A. 21
B. 28
C. 35
D. 42
18. Round 8,649 to the nearest thousand. (2 pts)
A. 8,000
B. 8,600
C. 8,700
D. 9,000
19. Evaluate: 5 × (12 − 7) + 3 (2 pts)
A. 22
B. 28
C. 30
D. 40
20. Which is the correct Indian system grouping of 7,200,300? (2 pts)
A. 7,20,030
B. 72,00,300
C. 7,200,30
D. 7,20,03,00

21. The predecessor of 10,000 is   (2 pts)
22. The smallest whole number is   (2 pts)
23. The Roman numeral for 500 is   (2 pts)
24. A number divisible by 10 must end with   (2 pts)
25. According to the distributive property, a × (b + c) = a×b + a×   (2 pts)
26. The place value of 7 in 7,046 is   (2 pts)
27. The sum of the factors of a perfect number equals   times the number. (2 pts)
28. Moving left three steps of size 4 on a number line decreases the value by   (2 pts)
29. A prime number has exactly   distinct factors. (2 pts)
30. In the International system, 1,000,000 is read as   (2 pts)

31. You start at 18 on a number line. Move right 6 steps of 4 units each, then move left 5 steps of 3 units each. Where do you land? Show your working. (5 pts)
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32. Estimate the sum of 8,649 and 3,378 by rounding each number to the nearest thousand. What is the estimated total? Show your working. (5 pts)
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33. A school has 48 red chairs and 60 blue chairs. They want to arrange each color in rows with the same number of chairs and no chairs left over. What is the greatest number of chairs in each row? Show your working. (5 pts)
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34. Three bells ring every 18, 24, and 30 minutes respectively. If they all ring together at 8:00 a.m., when will they ring together next? Show your working. (5 pts)
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35. A factory can pack items in boxes of 45 or in boxes of 60 with no leftovers in either case. What is the smallest number of items the factory can pack to satisfy both conditions? Show your working. (5 pts)
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36. Without long division, determine whether 8,415 is divisible by 9 and by 11. Show your working. (5 pts)
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37. Convert 3,06,50,090 (Indian system) to the International system and write it in words (International system). Show your working. (5 pts)
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38. Evaluate the expression using brackets: 7 × (18 − 5) − 4 × (6 + 1). Show your working. (5 pts)
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39. In a 3×3 grid, the numbers are: Row 1: 11, 14, 9 Row 2: 8, 20, 13 Row 3: 7, 16, 10 A supercell is larger than its neighbors directly above, below, left, and right. Is 20 a supercell? Show your working. (5 pts)
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40. Find the smallest 5-digit number that is divisible by both 12 and 15. Show your working. (5 pts)
Working:
Answer: