Class 7 Mathematics Practice Sheet: CBSE Class 7 Mathematics Large Numbers Around Us Practice Paper Worksheet Set 02 with Answers
Explore structured practice materials through the CBSE Class 7 Mathematics Large Numbers Around Us Practice Paper Worksheet Set 02 with Answers. Tailored for Class 7 learners, utilizing these Mathematics worksheets ensures thorough preparation and strengthens problem-solving accuracy before final school evaluations.
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CBSE Class 7 Maths Ganita Prakash Chapter 1 Large Numbers Around Us Practice Paper 01 is a 40-mark test of 20 questions in Sections A to E, given here with step-by-step answers. It checks how well you read and write large numbers in the Indian and International systems, convert between lakh, crore and million, place commas correctly, round off to the nearest thousand, lakh or crore, compare and arrange large numbers, and use estimation in real-life problems on city populations, factory output and a school budget.
Section A: Multiple Choice Questions (1 Mark Each)
(a) 500 lakh
(b) 5 lakh
(c) 50 lakh
(d) 25 lakh
Show Answer & Explanation
Answer: (c) 50 lakh
Explanation:
1. 1 million = 10,00,000 = 10 lakh.
2. So 5 million = 5 × 10 lakh = 50 lakh.
3. The answer is 50 lakh.
Teacher's Note:
1. Remember the link: 1 million = 10 lakh and 1 crore = 10 million.
2. Writing 5 million as 5,000,000 and regrouping it as 50,00,000 also shows the answer.
(a) 75,00,000
(b) 7,500,000
(c) 750,00,00
(d) 7,50,00,000
Show Answer & Explanation
Answer: (b) 7,500,000
Explanation:
1. In the International system, commas are placed after every 3 digits from the right.
2. 7500000 grouped in threes from the right is 7 | 500 | 000, that is 7,500,000.
3. So the correct form is 7,500,000.
Teacher's Note:
1. 75,00,000 and 7,50,00,000 use Indian grouping (3, then 2, 2).
2. 750,00,00 follows neither system.
(a) 1 crore 23 lakh 45 thousand 678
(b) 12 crore 34 lakh 56 thousand 78
(c) 1 crore 2 lakh 3 thousand 4 hundred
(d) 123 million 456 thousand 78
Show Answer & Explanation
Answer: (a) 1 crore 23 lakh 45 thousand 678
Explanation:
1. Read the Indian periods from the left: 1 | 23 | 45 | 678.
2. These are crore, lakh, thousand and ones.
3. So it is read as 1 crore 23 lakh 45 thousand 678.
Teacher's Note:
1. Each comma in the Indian system marks a new period name: thousand, lakh, crore.
2. In the International system this number is 12,345,678, which is about 12 million, not 123 million.
(a) 2 digits
(b) 4 digits
(c) 3 digits
(d) 5 digits
Show Answer & Explanation
Answer: (c) 3 digits
Explanation:
1. The International periods are ones, thousands, millions and billions.
2. Each period has 3 digits.
3. So commas are placed after every 3 digits from the right.
Teacher's Note:
1. In the Indian system, the first comma comes after 3 digits and then after every 2 digits.
2. Always start placing commas from the right-hand end.
(a) 60,000
(b) 68,000
(c) 70,000
(d) 1,00,000
Show Answer & Explanation
Answer: (c) 70,000
Explanation:
1. 68,000 lies between 60,000 and 70,000.
2. The thousands digit is 8, which is 5 or more, so we round up.
3. 68,000 rounded to the nearest ten thousand is 70,000.
Teacher's Note:
1. The original paper asked for the nearest thousand, but 68,000 is already a whole number of thousands, so that would give 68,000; the question has been changed to the nearest ten thousand to match the key 70,000.
2. To round, look at the digit just to the right of the place you are rounding to.
(a) 1 crore kg
(b) 12 lakh kg
(c) 10 lakh kg
(d) 15 lakh kg
Show Answer & Explanation
Answer: (b) 12 lakh kg
Explanation:
1. 1,00,000 kg = 1 lakh kg each month.
2. In 12 months: 12 × 1 lakh = 12 lakh kg.
3. So he produces 12 lakh kg.
Teacher's Note:
1. Multiplying a lakh by 12 just gives 12 lakh, that is 12,00,000.
2. 1 crore would need 100 months at this rate.
(a) 50 million
(b) 5 crore
(c) Both are equal
(d) 1 billion
Show Answer & Explanation
Answer: (d) 1 billion
Explanation:
1. 50 million = 50,000,000 = 5,00,00,000 = 5 crore, so (a) and (b) are equal.
2. 1 billion = 1,000,000,000 = 100 crore.
3. 100 crore is more than 5 crore, so the largest is 1 billion.
Teacher's Note:
1. 1 billion = 1000 million = 100 crore.
2. Convert all numbers to the same system before comparing.
(a) 1.5 million
(b) 15 million
(c) 150 million
(d) 1.5 billion
Show Answer & Explanation
Answer: (b) 15 million
Explanation:
1. 1 crore = 10 million.
2. So 1.5 crore = 1.5 × 10 million = 15 million.
3. The answer is 15 million.
Teacher's Note:
1. The original question asked which of Hyderabad, Mumbai and Delhi could have a population of 1.5 crore with the key "All of these"; that depends on outside facts and is not a mathematics question, so it was changed to a conversion question.
2. 1.5 crore = 1,50,00,000 = 15,000,000.
Assertion (A): 1 million equals 10 lakh.
Reason (R): In Indian system, large numbers are grouped in thousands and millions.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. 1 million = 1,000,000 = 10,00,000 = 10 lakh, so A is true.
2. The Indian system uses thousand, lakh and crore; thousands and millions belong to the International system. So R is false.
3. Hence A is true but R is false.
Teacher's Note:
1. Indian periods: ones, thousands, lakhs, crores.
2. International periods: ones, thousands, millions, billions.
Assertion (A): Estimation helps in quick decision making.
Reason (R): Exact calculations are always preferred over estimation.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. Estimation gives a quick, close-enough value, so it helps in fast decisions. A is true.
2. In many situations, such as planning seats or buying supplies, an estimate is enough and is preferred. So R is false.
3. Hence A is true but R is false.
Teacher's Note:
1. Exact values are needed for things like bills and bank records.
2. Estimates are useful for quick checks and planning.
Section B: Short Answer Questions (2 Marks Each)
Question 11. Write 4,36,21,015 in words using Indian system.
Answer:
Split into Indian periods: 4 | 36 | 21 | 015 (crore | lakh | thousand | ones).
So 4,36,21,015 = 4 crore + 36 lakh + 21 thousand + 15.
In words: Four crore thirty-six lakh twenty-one thousand fifteen.
In simple words: Read each comma group with its period name: crore, lakh, thousand.
Teacher's Note:
1. The 0 in 015 means there are no hundreds, so we do not say "hundred".
2. Write numbers like thirty-six and twenty-one with a hyphen.
Question 12. Round 92,58,000 to nearest crore.
Answer:
92,58,000 lies between 0 crore and 1 crore (1,00,00,000).
Half a crore is 50,00,000, and 92,58,000 is more than 50,00,000.
So 92,58,000 rounds up to 1 crore (1,00,00,000).
In simple words: 92 lakh is more than half a crore, so it rounds up to 1 crore.
Teacher's Note:
1. For the nearest crore, look at the ten lakh digit; here it is 9, so round up.
2. A number below 1 crore can still round to 1 crore.
Question 13. Write the difference and express in words:
(a) 8 crore – 3 crore 70 lakh.
(b) Use Indian system.
Answer:
(a) 8 crore = 8,00,00,000 and 3 crore 70 lakh = 3,70,00,000.
Difference = 8,00,00,000 − 3,70,00,000 = 4,30,00,000.
(Think: 8 crore − 3 crore = 5 crore, and 5 crore − 70 lakh = 4 crore 30 lakh.)
(b) In words (Indian system): Four crore thirty lakh.
In simple words: Take 3 crore 70 lakh from 8 crore to get 4 crore 30 lakh.
Teacher's Note:
1. 1 crore = 100 lakh, so 5 crore − 70 lakh = 4 crore + (100 − 70) lakh.
2. Write both numbers with commas before subtracting to keep the places in line.
Question 14. Convert:
(a) 9.8 crore into millions
(b) 145 million into crore.
Answer:
Use the link 1 crore = 10 million.
(a) 9.8 crore = 9.8 × 10 million = 98 million.
(b) 145 million = 145 ÷ 10 crore = 14.5 crore.
In simple words: Crore to million: multiply by 10; million to crore: divide by 10.
Teacher's Note:
1. Check (a): 9.8 crore = 9,80,00,000 = 98,000,000 = 98 million.
2. Check (b): 145,000,000 = 14,50,00,000 = 14.5 crore.
Section C: Short Answer Questions (3 Marks Each)
Question 15. Estimate: 2,39,485 + 6,71,832 by rounding each to nearest lakh.
Answer:
2,39,485: the ten thousands digit is 3 (less than 5), so it rounds down to 2,00,000 (2 lakh).
6,71,832: the ten thousands digit is 7 (5 or more), so it rounds up to 7,00,000 (7 lakh).
Estimated sum = 2 lakh + 7 lakh = 9 lakh (9,00,000).
Check: the exact sum is 9,11,317, which is close to 9 lakh.
In simple words: Round each number to the nearest lakh first, then add: 2 lakh + 7 lakh = 9 lakh.
Teacher's Note:
1. For the nearest lakh, look at the ten thousands digit.
2. An estimate should be close to the exact answer; here the difference is only about 11 thousand.
Question 16. Express 75,38,46,120 in words using both the Indian and International Systems.
Answer:
Indian system: periods 75 | 38 | 46 | 120 (crore | lakh | thousand | ones).
Seventy-five crore thirty-eight lakh forty-six thousand one hundred twenty.
International system: rewrite with commas after every 3 digits: 753,846,120, periods 753 | 846 | 120 (million | thousand | ones).
Seven hundred fifty-three million eight hundred forty-six thousand one hundred twenty.
In simple words: Place commas the Indian way and the International way, then read each group with its name.
Teacher's Note:
1. Check: 75 crore = 750 million and 38 lakh = 3.8 million, so the number is about 753.8 million.
2. Re-place the commas first; reading becomes easy after that.
Question 17. Write the numbers and Arrange the following in descending order:
3 crore 15 lakh, 98 lakh 60 thousand, 5 crore 8 lakh, 9 crore 3 lakh.
Answer:
3 crore 15 lakh = 3,15,00,000
98 lakh 60 thousand = 98,60,000
5 crore 8 lakh = 5,08,00,000
9 crore 3 lakh = 9,03,00,000
98,60,000 has only 7 digits, so it is the smallest. The others have 8 digits; compare their crore digits 9 > 5 > 3.
Descending order: 9,03,00,000 > 5,08,00,000 > 3,15,00,000 > 98,60,000, that is, 9 crore 3 lakh > 5 crore 8 lakh > 3 crore 15 lakh > 98 lakh 60 thousand.
In simple words: Write each number in digits, then the one with more digits or a bigger leading digit comes first.
Teacher's Note:
1. 5 crore 8 lakh is written 5,08,00,000; the 0 keeps the lakh period two digits long.
2. Descending means from the largest to the smallest.
Section D: Long Answer Question (5 Marks)
Question 18. The population of City A is 37,45,280 and City B is 1,02,95,800. A new survey predicts that the population of City A will increase by 8,45,000 in the next 5 years, and City B’s population will rise by 5,00,000 in the same period.
(a) Estimate and find the future population of both cities.
(b) Compare their future populations using <, >, or =.
(c) Round off the future population of both cities to the nearest lakh.
Answer:
(a) Estimate first: City A ≈ 37 lakh + 8 lakh = about 45 lakh; City B ≈ 103 lakh + 5 lakh = about 108 lakh (1.08 crore).
Exact future population of City A = 37,45,280 + 8,45,000 = 45,90,280.
Exact future population of City B = 1,02,95,800 + 5,00,000 = 1,07,95,800.
(b) 45,90,280 has 7 digits and 1,07,95,800 has 8 digits.
So 45,90,280 < 1,07,95,800, that is, City A will still have a smaller population than City B.
(c) City A: 45,90,280 — the ten thousands digit is 9 (5 or more), so round up to 46,00,000.
City B: 1,07,95,800 — the ten thousands digit is 9, so round up to 1,08,00,000.
In simple words: Add each increase to the present population, compare the totals, then round each to the nearest lakh.
Teacher's Note:
1. The estimates (45 lakh and 108 lakh) are close to the exact answers, which is a good check.
2. A number with more digits is always larger.
3. When rounding up 1,07,95,800, the lakh digit 7 becomes 8.
Section E: Case Study Based Questions (4 Marks Each)
Question 19. A mobile phone factory currently produces 18,000 phones daily. Management plans to expand production to 25,000 phones daily starting next year. Based on daily output, they need an annual production estimate to prepare raw materials, staffing, and storage facilities. Without calculating large numbers efficiently, the company risks running short of resources or overstocking products.
Based on this, Answer the following questions
(i) Calculate current annual production (365 days). (1)
(ii) Calculate future projected annual production. (1)
(iii) Express both in lakhs and crores. (2)
Answer:
(i) Current annual production = 18,000 × 365.
18 × 365 = 6570, so 18,000 × 365 = 65,70,000 phones.
(ii) Future annual production = 25,000 × 365.
25 × 365 = 9125, so 25,000 × 365 = 91,25,000 phones.
(iii) 1 lakh = 1,00,000 and 1 crore = 100 lakh.
Current: 65,70,000 = 65.7 lakh = 0.657 crore.
Future: 91,25,000 = 91.25 lakh = 0.9125 crore.
In simple words: Multiply daily production by 365, then divide by 1 lakh for lakhs and by 1 crore for crores.
Teacher's Note:
1. Multiply 18 × 365 first and then attach the three zeros of 18,000.
2. Both answers are less than 1 crore, so in crores they are decimals smaller than 1.
Question 20. Green Valley School spends 23547500 annually for staff salaries, maintenance, and electricity. Before the new academic year, the school principal must present a clear financial report to staff and parents. Reporting the budget using Indian and International systems improves understanding and prevents confusion. Clear financial presentations help parents trust school management.
(i) Place commas using both systems. (2)
(ii) Write ₹23547500 in Indian system (in words). (1)
(iii) Write in International system (in words). (1)
Answer:
(i) Indian system (first comma after 3 digits from the right, then after every 2): ₹2,35,47,500.
International system (comma after every 3 digits from the right): ₹23,547,500.
(ii) Indian system: Two crore thirty-five lakh forty-seven thousand five hundred rupees.
(iii) International system: Twenty-three million five hundred forty-seven thousand five hundred rupees.
In simple words: Put commas the Indian way (3, 2, 2) and the International way (3, 3, 3), then read the number in each system.
Teacher's Note:
1. Check: 2 crore = 20 million and 35 lakh = 3.5 million, so 2 crore 35 lakh = 23.5 million.
2. Always count digit groups from the right when placing commas.
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