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Mathematics

Mastering Large Numbers with Numeration Systems

Large Numbers and Numeration Systems
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 7,999,999 is greater than 8,988,999.
1 pt
True
False
Answer: False
2.
True / False The face value of 7 in 57689 is 70.
1 pt
True
False
Answer: False
3.
True / False There are four zeroes at the end of the number 10000.
1 pt
True
False
Answer: True
4.
True / False The smallest 9-digit number is 100,000,000.
1 pt
True
False
Answer: True
5.
True / False All Roman numeral systems up to MCM are equal to 2000.
1 pt
True
False
Answer: False
6.
True / False The place value of zero in any number is always zero.
1 pt
True
False
Answer: True
7.
True / False If you add one to 9,999,999, the result will have eight digits.
1 pt
True
False
Answer: True
8.
True / False Rounding off 3987 to the nearest thousands gives 4000.
1 pt
True
False
Answer: True
9.
True / False The Indian system of numeration includes 'lakhs' and 'crores'.
1 pt
True
False
Answer: True
10.
True / False The predecessor of 100000 is 99999.
1 pt
True
False
Answer: False
11.
Multiple Choice What is the smallest number with 7 digits?
2 pts
A. 1000000
B. 999999
C. 10000000
D. 9999999
Answer: A. 1000000
12.
Multiple Choice Which numeral system uses 'million'?
2 pts
A. Indian
B. International
C. Roman
D. None
Answer: B. International
13.
Multiple Choice The place value of 5 in 10506 is:
2 pts
A. 50
B. 500
C. 5000
D. 5
Answer: A. 50
14.
Multiple Choice The sum of the predecessor of the smallest 7-digit number and 1 is:
2 pts
A. 999999
B. 1000000
C. 100000
D. 9999999
Answer: B. 1000000
15.
Multiple Choice Which of the following is the largest 7-digit number?
2 pts
A. 9999999
B. 8888888
C. 7777777
D. 6666666
Answer: A. 9999999
16.
Multiple Choice The predecessor of 100000 is:
2 pts
A. 99999
B. 999999
C. 100001
D. 100000
Answer: A. 99999
17.
Multiple Choice What is the face value of the digit 5 in the number 775?
2 pts
A. 50
B. 5
C. 500
D. 5000
Answer: B. 5
18.
Multiple Choice 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
Answer: A. 0
19.
Multiple Choice 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
Answer: C. 9000006
20.
Multiple Choice The estimated sum of 3987 and 6759 rounded to the nearest 1000 is:
2 pts
A. 10000
B. 9000
C. 11000
D. 12000
Answer: B. 9000
21.
Fill in the Blank The largest 7-digit number is _______.
2 pts
Answer: 9999999
22.
Fill in the Blank The smallest 8-digit number is _______.
2 pts
Answer: 10000000
23.
Fill in the Blank When 1 is added to the greatest 7-digit number, we get _______.
2 pts
Answer: 10000000
24.
Fill in the Blank In Roman numerals, the value of LXXI is _______.
2 pts
Answer: 71
25.
Fill in the Blank The place value of 1 in the number 1002 is _______.
2 pts
Answer: 1000
26.
Fill in the Blank The predecessor of 1000000 is _______.
2 pts
Answer: 999999
27.
Fill in the Blank In the Indian system, one million is written as _______ lakhs.
2 pts
Answer: 10
28.
Fill in the Blank The new price of a house after a ____% increase is calculated by multiplying the old price by 1.20.
2 pts
Answer: 20
29.
Fill in the Blank In a cricket series, a player needs to score more than _______ runs to complete 1000 runs if he currently has 867.
2 pts
Answer: 133
30.
Fill in the Blank A number that exceeds 8,945,675 by 300,867 is _______.
2 pts
Answer: 9256542
31.
Word Problem Round 535674 to the nearest tens, hundreds, and thousands. Write all three results.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Round 535674 to the nearest ten = 535670
Step 2: Round 535674 to the nearest hundred = 535700
Step 3: Round 535674 to the nearest thousand = 536000
32.
Word Problem Calculate the difference between 89567 and 34589 rounded to the nearest hundreds.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Round 89567 to the nearest hundred = 89600
Step 2: Round 34589 to the nearest hundred = 34600
Step 3: Calculate difference = 89600 - 34600
Answer: 55000
33.
Word Problem 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
Working:
Answer:
Worked Solution:
Step 1: Calculate single day travel = 850 m × 2 = 1700 m
Step 2: Calculate 10 days travel = 1700 m × 10 = 17000 m
Answer: 17000 m
34.
Word Problem 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
Working:
Answer:
Worked Solution:
Step 1: Initial investment = 12000000
Step 2: Profit reinvested = 120000
Step 3: Total investment = 12000000 + 120000
Answer: 12120000
35.
Word Problem 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
Working:
Answer:
Worked Solution:
Step 1: Population = 884235
Step 2: Calculate swimmers = 884235 / 15
Answer: 58949
36.
Word Problem Find the total income from an auditorium with 1500 seats, having different ticket prices for each category.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Calculate income from 300 seats = 300 × 7500 = 2250000
Step 2: Calculate income from 400 seats = 400 × 7250 = 2900000
Step 3: Calculate income from 700 seats = 700 × 7100 = 4970000
Step 4: Remaining seats = 100
Step 5: Calculate income from 100 seats = 100 × 750 = 75000
Answer: 2250000 + 2900000 + 4970000 + 75000 = 10250000
37.
Word Problem Vanaja finished a race in 196 seconds and Sunantha in 182 seconds. Calculate how many seconds Vanaja was ahead.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Vanaja's time = 196 seconds
Step 2: Sunantha's time = 182 seconds
Step 3: Calculate difference = 196 - 182
Answer: 14 seconds
38.
Word Problem 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
Working:
Answer:
Worked Solution:
Step 1: Arrange digits in descending order = 98753210
Step 2: Verify number > 98273105
Answer: 98753210
39.
Word Problem Multiply the estimated product of 3567 and 935 after rounding off to nearest hundreds. Explain over or under estimation.
5 pts
Working:
Answer:
Worked Solution:
Step 1: Round 3567 to nearest hundred = 3600
Step 2: Round 935 to nearest hundred = 900
Step 3: Calculate product = 3600 × 900
Answer: 3240000
Explanation: Estimated product is less because rounded values were higher distances from original.
40.
Word Problem Determine the year an old building was built with the Roman numeral 'MCMXI'.
5 pts
Working:
Answer:
Worked Solution:
Step 1: M = 1000
Step 2: CM = 900
Step 3: XI = 11
Step 4: Sum = 1000 + 900 + 11
Answer: 1911
40
Total Questions
100
Total Points
~35
Minutes