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Mathematics

Mastering Large Numbers with Numeration Systems

Large Numbers and Numeration Systems
Date: May 29, 2026  •  Questions: 40  •  Estimated time: 35 minutes
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____ / 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. The number 7,999,999 is greater than 8,988,999. (1 pt)
True
False
2. The face value of 7 in 57689 is 70. (1 pt)
True
False
3. There are four zeroes at the end of the number 10000. (1 pt)
True
False
4. The smallest 9-digit number is 100,000,000. (1 pt)
True
False
5. All Roman numeral systems up to MCM are equal to 2000. (1 pt)
True
False
6. The place value of zero in any number is always zero. (1 pt)
True
False
7. If you add one to 9,999,999, the result will have eight digits. (1 pt)
True
False
8. Rounding off 3987 to the nearest thousands gives 4000. (1 pt)
True
False
9. The Indian system of numeration includes 'lakhs' and 'crores'. (1 pt)
True
False
10. The predecessor of 100000 is 99999. (1 pt)
True
False

11. What is the smallest number with 7 digits? (2 pts)
A. 1000000
B. 999999
C. 10000000
D. 9999999
12. Which numeral system uses 'million'? (2 pts)
A. Indian
B. International
C. Roman
D. None
13. The place value of 5 in 10506 is: (2 pts)
A. 50
B. 500
C. 5000
D. 5
14. The sum of the predecessor of the smallest 7-digit number and 1 is: (2 pts)
A. 999999
B. 1000000
C. 100000
D. 9999999
15. Which of the following is the largest 7-digit number? (2 pts)
A. 9999999
B. 8888888
C. 7777777
D. 6666666
16. The predecessor of 100000 is: (2 pts)
A. 99999
B. 999999
C. 100001
D. 100000
17. What is the face value of the digit 5 in the number 775? (2 pts)
A. 50
B. 5
C. 500
D. 5000
18. The least number of zeroes at the end when rounded off to the nearest tens is: (2 pts)
A. 0
B. 1
C. 2
D. 3
19. Form a number with 6 in the tens place and 9 in the lakhs place: (2 pts)
A. 906
B. 960
C. 9000006
D. 960000
20. The estimated sum of 3987 and 6759 rounded to the nearest 1000 is: (2 pts)
A. 10000
B. 9000
C. 11000
D. 12000

21. The largest 7-digit number is   __. (2 pts)
22. The smallest 8-digit number is   __. (2 pts)
23. When 1 is added to the greatest 7-digit number, we get   __. (2 pts)
24. In Roman numerals, the value of LXXI is   __. (2 pts)
25. The place value of 1 in the number 1002 is   __. (2 pts)
26. The predecessor of 1000000 is   __. (2 pts)
27. In the Indian system, one million is written as   __ lakhs. (2 pts)
28. The new price of a house after a ____% increase is calculated by multiplying the old price by 1.20. (2 pts)
29. In a cricket series, a player needs to score more than   __ runs to complete 1000 runs if he currently has 867. (2 pts)
30. A number that exceeds 8,945,675 by 300,867 is   __. (2 pts)

31. Round 535674 to the nearest tens, hundreds, and thousands. Write all three results. (5 pts)
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32. Calculate the difference between 89567 and 34589 rounded to the nearest hundreds. (5 pts)
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33. A man travels a total distance of 850 m back and forth from a hotel to Varkala beach. Calculate the total distance he travels in 10 days. (5 pts)
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34. A businessman invested ? 1,20,00,000 and made a profit of F1,20,000. Calculate his total investment after reinvesting the profit. (5 pts)
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35. Calculate the number of people who know swimming if 1 out of every 15 people in a city of 884,235 know how to swim. (5 pts)
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36. Find the total income from an auditorium with 1500 seats, having different ticket prices for each category. (5 pts)
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37. Vanaja finished a race in 196 seconds and Sunantha in 182 seconds. Calculate how many seconds Vanaja was ahead. (5 pts)
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38. Form the greatest 8-digit number with digits 0, 2, 3, 5, 7, 8, 9 and 1 making sure it's greater than 98273105. (5 pts)
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39. Multiply the estimated product of 3567 and 935 after rounding off to nearest hundreds. Explain over or under estimation. (5 pts)
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40. Determine the year an old building was built with the Roman numeral 'MCMXI'. (5 pts)
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