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Mathematics

Playing With Numbers: Class 6 Mixed Practice

Number systems, numeration, factors and multiples, properties, and Roman numerals
Date: September 7, 2026  •  Questions: 40  •  Estimated time: 45 minutes
Score
____ / 100
Student Name
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Grade / Year
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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. (1 pt)
True
False
2. In the set of whole numbers, 0 has a predecessor. (1 pt)
True
False
3. Addition of whole numbers is commutative. (1 pt)
True
False
4. Subtraction of whole numbers is associative. (1 pt)
True
False
5. Whole numbers are closed under multiplication. (1 pt)
True
False
6. In the Indian system, the number 12,34,567 is correctly grouped with commas. (1 pt)
True
False
7. The number 1 is a prime number. (1 pt)
True
False
8. Every even number is divisible by 4. (1 pt)
True
False
9. 999 rounded to the nearest thousand is 1000. (1 pt)
True
False
10. A number is divisible by 3 if the sum of its digits is a multiple of 3. (1 pt)
True
False

11. Which number is the greatest? (2 pts)
A. 607
B. 670
C. 706
D. 760
12. In 3,58,241 (Indian system), the place value of the digit 5 is: (2 pts)
A. 5,000
B. 50,000
C. 500
D. 5,00,000
13. Write 27,05,300 (Indian system) in the International system. (2 pts)
A. 270,530
B. 2,705,300
C. 27,053,00
D. 27,530,0
14. Round 46,372 to the nearest 1,000. (2 pts)
A. 46,300
B. 46,000
C. 47,000
D. 46,500
15. Evaluate: 18 − [6 + 2 × (7 − 4)] (2 pts)
A. 0
B. 3
C. 6
D. 12
16. Which is the correct Roman numeral for 90? (2 pts)
A. IC
B. LXXXX
C. XC
D. VC
17. Which of the following is a prime number? (2 pts)
A. 77
B. 97
C. 91
D. 121
18. Which number is divisible by 9? (2 pts)
A. 7,245
B. 8,137
C. 9,114
D. 7,001
19. The HCF of 36 and 60 is: (2 pts)
A. 6
B. 12
C. 18
D. 24
20. How many 4-digit numbers exist? (2 pts)
A. 900
B. 999
C. 9,000
D. 10,000

21. Zero is the smallest   number. (2 pts)
22. The successor of 4,999 is   . (2 pts)
23. In the Indian system, 1,00,000 is called one   . (2 pts)
24. The additive identity for whole numbers is   . (2 pts)
25. 300 + 20 + 5 in standard form is   . (2 pts)
26. A number divisible by 2 and 5 is always divisible by   . (2 pts)
27. The prime factorization of 84 is 2 × 2 × 3 ×   . (2 pts)
28. In Roman numerals, 40 is written as   . (2 pts)
29. The place value of 9 in 5,19,804 (Indian system) is   . (2 pts)
30. On a number line, moving 7 units left from 15 lands on   . (2 pts)

31. On Saturday, 48,376 people visited a fair, and on Sunday, 51,942 people visited. Estimate the total number of visitors to the nearest thousand. Show your working. (5 pts)
Working:
Answer:
32. A teacher has 84 pencils and 126 erasers. She wants to make identical sets with no items left over. What is the maximum number of sets she can make, and how many pencils and erasers will each set contain? Show your working. (5 pts)
Working:
Answer:
33. Two shuttle buses leave a station at 8:00 AM. One returns every 12 minutes and the other every 15 minutes. At what time will they next arrive together? Show your working. (5 pts)
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Answer:
34. What is the least number that must be subtracted from 5,237 to make it divisible by 6? Show your working. (5 pts)
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35. Find the LCM of 48 and 180 using prime factorization. Show your working. (5 pts)
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Answer:
36. A shop calculates a bill as (250 + 75) × 4 − 180. Find the final amount. Show your working. (5 pts)
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Answer:
37. Convert the number 2,019 to Roman numerals. Show your working. (5 pts)
Working:
Answer:
38. Write 4,57,20,608 (Indian system) in the International system with commas. Show your working. (5 pts)
Working:
Answer:
39. On a number line, starting at 0, make 5 jumps of 7 units to the right, then 3 jumps of 4 units to the left. Where do you land? Show your working. (5 pts)
Working:
Answer:
40. In the 3×3 grid below, a supercell is a number larger than all of its existing neighbors directly above, below, left, and right. Grid: 12 35 18 44 29 31 27 33 20 Identify all supercells. Show your working. (5 pts)
Working:
Answer: