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Mathematics

Exploring Numbers and Numeration Systems Worksheet

Large Numbers, Numeration Systems, and Estimation
100 pts
40 questions • ~35 min
Aayush Nayak
6-B
Grade 6
YBIS
Home
Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
True / False The number 9999989 is less than 9999999.
1 pt
True
False
Answer: True
2.
True / False Adding 1 to the greatest 7-digit number results in an 8-digit number.
1 pt
True
False
Answer: True
3.
True / False The Indian and International systems of numeration use the same comma placements.
1 pt
True
False
Answer: False
4.
True / False Rounding off a number to the nearest hundreds always increases its value.
1 pt
True
False
Answer: False
5.
True / False The Roman numeral MCMXI represents the year 1911.
1 pt
True
False
Answer: True
6.
True / False The face value of a digit is always equal to its place value in the number.
1 pt
True
False
Answer: False
7.
True / False Zero acts as a placeholder in large numbers.
1 pt
True
False
Answer: True
8.
True / False Rounding off can sometimes lead to a result greater than the actual sum.
1 pt
True
False
Answer: True
9.
True / False The predecessor of the smallest 7-digit number, when added with 1, gives the smallest 7-digit number.
1 pt
True
False
Answer: True
10.
True / False Round-off estimation is not useful in everyday calculations.
1 pt
True
False
Answer: False
11.
Multiple Choice What is the smallest 7-digit number?
2 pts
A. 1000000
B. 999999
C. 10000000
D. 9999999
Answer: A. 1000000
12.
Multiple Choice What is the greatest 7-digit number?
2 pts
A. 9999999
B. 10000000
C. 8999999
D. 7999999
Answer: A. 9999999
13.
Multiple Choice In the Indian numeral system, 1,00,00,000 is commonly known as:
2 pts
A. One crore
B. Ten million
C. One hundred lakh
D. Both A and C
Answer: D. Both A and C
14.
Multiple Choice According to the chapter, what is the predecessor of 100000?
2 pts
A. 99999
B. 999999
C. 100001
D. 1000000
Answer: A. 99999
15.
Multiple Choice What is the place value of 5 in 10506?
2 pts
A. 50
B. 500
C. 5000
D. 5
Answer: C. 5000
16.
Multiple Choice Adding 1 to the greatest 7-digit number gives you the smallest _____-digit number.
2 pts
A. 7
B. 8
C. 9
D. 10
Answer: B. 8
17.
Multiple Choice In Roman numerals, the numeral IX represents:
2 pts
A. 1
B. 9
C. 10
D. 11
Answer: B. 9
18.
Multiple Choice Rounding 535674 to the nearest hundred results in:
2 pts
A. 535700
B. 535600
C. 535674
D. 536000
Answer: A. 535700
19.
Multiple Choice Which of the following best describes the process of estimating large numbers by rounding?
2 pts
A. Exact calculation
B. Approximation
C. Overestimation
D. Underestimation
Answer: B. Approximation
20.
Multiple Choice What does the process of converting a Roman numeral to its numeric form involve?
2 pts
A. Addition only
B. Subtraction only
C. Both addition and subtraction
D. Multiplication
Answer: C. Both addition and subtraction
21.
Fill in the Blank The number obtained by adding 1 to the greatest 7-digit number is _____.
2 pts
Answer: 10000000
22.
Fill in the Blank The smallest 8-digit number is _____.
2 pts
Answer: 10000000
23.
Fill in the Blank The smallest 9-digit number is _____.
2 pts
Answer: 100000000
24.
Fill in the Blank In the Indian numbering system, 1,00,00,000 is called _____.
2 pts
Answer: one crore
25.
Fill in the Blank The place value of 5 in 10506 is _____.
2 pts
Answer: 5000
26.
Fill in the Blank The Roman numeral for 1911 is _____.
2 pts
Answer: MCMXI
27.
Fill in the Blank In rounding off numbers, if the digit to the right is 5 or more, you round _____.
2 pts
Answer: up
28.
Fill in the Blank Writing numbers in _____ order helps in identifying the smallest and largest numbers.
2 pts
Answer: ascending
29.
Fill in the Blank Rounding 535674 to the nearest hundred gives _____.
2 pts
Answer: 535700
30.
Fill in the Blank In the international numeral system, 1000000 is known as _____.
2 pts
Answer: one million
31.
Word Problem Add 7834567, 893600678, and 1035678. Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Add 7834567 and 1035678 to get 8870245
Step 2: Add 8870245 and 893600678 to get 902470923
Answer: 902470923
32.
Word Problem Find the sum of the greatest 8-digit number and the smallest 5-digit number. Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Identify numbers: 99999999 and 10000
Step 2: Sum = 99999999 + 10000
Answer: 100009999
33.
Word Problem Estimate the difference between 89567 and 34589 when both are rounded to the nearest hundreds. Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Round 89567 to 89600 and 34589 to 34600
Step 2: Calculate difference: 89600 - 34600
Answer: 55000
34.
Word Problem A man travels from a hotel to Varkala beach 850 m away and returns. Calculate the total distance traveled in 10 days if he makes one round trip per day. Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Calculate daily round trip: 850 x 2 = 1700 m
Step 2: Multiply by 10 days: 1700 x 10
Answer: 17000 m
35.
Word Problem A house priced at ₹32,56,358 increases by 20 times the next year. Find its new price. Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Multiply ₹32,56,358 by 20
Step 2: 3256358 x 20 = 65127160
Answer: ₹65,127,160
36.
Word Problem A businessman invested ₹1,20,00,000 and earned a profit of ₹1,20,000. If he reinvests the profit, what is his total investment? Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Identify investment: 12000000 and profit: 120000
Step 2: Total = 12000000 + 120000
Answer: 12120000
37.
Word Problem Vanaja completed a 1 km race in 96 seconds and Sunantha in 188 seconds. By how many seconds was Vanaja ahead? Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Subtract Vanaja's time from Sunantha's time
Step 2: 188 - 96 = 92
Answer: 92 seconds
38.
Word Problem Roy rounded 3567 and 935 to the nearest hundreds and multiplied them. What is the estimated product? Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Round 3567 to 3600 and 935 to 900
Step 2: Multiply rounded numbers: 3600 x 900
Answer: 3240000
39.
Word Problem Verify the place value calculation for the digit 5 in 21865734. Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Identify digit 5 in number 21865734 (thousands place)
Step 2: Calculate place value: 5 x 1000 = 5000
Answer: 5000
40.
Word Problem Convert the Roman numeral 'MCMXI' to its numeric value. Show your working.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Interpret M as 1000, CM as 900, and XI as 11
Step 2: Add values: 1000 + 900 + 11
Answer: 1911
40
Total Questions
100
Total Points
~35
Minutes