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Class 7 Mathematics Chapter 1 Worksheet: Large Numbers Around Us

Updated:6 Mins Read

Here we present the worksheet for Class 7 Mathematics Chapter 1: Large Numbers Around Us. Attempt these questions after completing the chapter.

Class 7 Mathematics – Chapter 1: Large Numbers Around Us | Practice Worksheet

SECTION A – MCQs (10 × 1 = 10 marks)

Q1 to Q10 carry 1 mark each.

  1. In the Indian system, commas are placed in which pattern?

    • (a) 2-2-2-2…
    • (b) 3-3-3-3…
    • (c) 3-2-2-2…
    • (d) 4-3-3-3…
  2. In the International system, commas are placed after every:

    • (a) 2 digits
    • (b) 3 digits
    • (c) 4 digits
    • (d) 5 digits
  3. 1 crore equals:

    • (a) 1,000,000
    • (b) 10,000,000
    • (c) 100,000
    • (d) 1,000,000,000
  4. 1 million is equal to:

    • (a) 1 lakh
    • (b) 10 lakhs
    • (c) 100 lakhs
    • (d) 1 crore
  5. How many zeros are there in one lakh?

    • (a) 4
    • (b) 5
    • (c) 6
    • (d) 7
  6. How many zeros does a thousand lakhs have?

    • (a) 6
    • (b) 7
    • (c) 8
    • (d) 9
  7. 9876501234 written with commas in the Indian system is:

    • (a) 9,876,501,234
    • (b) 9,87,65,01,234
    • (c) 98,76,50,12,34
    • (d) 987,65,01,234
  8. Compare: 30 thousand ____ 3 lakhs

    • (a) <
    • (b) >
    • (c) =
    • (d) Cannot be compared
  9. Round 76,068 to the nearest thousand:

    • (a) 76,000
    • (b) 75,000
    • (c) 77,000
    • (d) 80,000
  10. Assertion (A): 1 arab equals 1 billion.
    Reason (R): 1 arab is 100 crore and 1 billion is also 100 crore.
    Choose the correct option:

    • (a) Both A and R are true and R explains A
    • (b) Both A and R are true but R does not explain A
    • (c) A is true but R is false
    • (d) A is false but R is true

SECTION B – Short Answer (4 × 2 = 8 marks)

Q11 to Q14 carry 2 marks each.

  1. Write 246813579 in Indian place value notation (with commas) and write its number name in the Indian system.
  2. Place commas and write number names for 1020304050 in:

    • (a) Indian system
    • (b) International system
  3. Convert:

    • (a) 5 million into lakhs
    • (b) 6.4 billion into crores
  4. Compare and write <, > or = :

    • (a) 500 lakhs ____ 5 million
    • (b) 640 crore ____ 60 billion

SECTION C – Answer with Steps (3 × 3 = 9 marks)

Q15 to Q17 carry 3 marks each.

  1. Write the five nearest neighbours (nearest thousand, ten thousand, lakh, ten lakh, crore) for:
    3,87,69,957.
  2. Write the five nearest neighbours (nearest thousand, ten thousand, lakh, ten lakh, crore) for:
    29,05,32,481.
  3. Find quick ways to calculate (show the idea, not long multiplication):

    • (a) 2 × 1768 × 50
    • (b) 72 × 125
    • (c) 125 × 40 × 8 × 25

SECTION D – Long Answer (1 × 5 = 5 marks)

Q18 carries 5 marks.

  1. The population of Town A is 76,068 people (Census data).

    • (a) Round it to the nearest thousand. (2)
    • (b) Round it to the nearest ten thousand. (2)
    • (c) Explain in one line where such rounding is useful. (1)

SECTION E – Case Study Based (2 × 4 = 8 marks)

Q19 to Q20 carry 4 marks each.

  1. Case Study 1: Birds and Big Distances
    A bar-tailed godwit travelled 13,560 km in about 11 days.

    • (i) Find the approximate distance travelled per day. (2)
    • (ii) Find the approximate distance travelled per hour. (2)
  2. Case Study 2: Coins vs Statue
    The Statue of Unity is about 182 m tall. Assume each coin is 1 mm thick.

    • (i) Convert 182 m into mm. (1)
    • (ii) How many coins must be stacked to match the height? (1)
    • (iii) Write your answer using commas in the Indian system. (1)
    • (iv) Round your answer to the nearest thousand. (1)

Answer Key with Hints

SECTION A – Answers + Hints

  1. Answer: (c)
    Hint: Indian system groups digits as 3-2-2-2… from the right.
  2. Answer: (b)
    Hint: International system always uses groups of 3 digits.
  3. Answer: (b)
    Hint: 1 crore = 1,00,00,000 = 10,000,000.
  4. Answer: (b)
    Hint: 1,000,000 = 10,00,000 (ten lakhs).
  5. Answer: (b)
    Hint: 1 lakh = 1 followed by 5 zeros = 1,00,000.
  6. Answer: (c)
    Hint: 1000 lakhs = 10³ × 10⁵ = 10⁸ → 8 zeros.
  7. Answer: (b)
    Hint: Place commas in Indian pattern: 9,87,65,01,234.
  8. Answer: (a)
    Hint: 30 thousand = 30,000 and 3 lakhs = 3,00,000, so 30,000 < 3,00,000.
  9. Answer: (a)
    Hint: Nearest thousand: look at the hundreds digit in 76,068 (it is 0), so round down to 76,000.
  10. Answer: (a)
    Hint: Both are equal to 100 crore, so A is true and R correctly explains it.

SECTION B – Answers + Hints

  1. Answer: 24,68,13,579
    Number name (Indian): Twenty-four crore sixty-eight lakh thirteen thousand five hundred seventy-nine.
    Hint: After the last 3 digits, put commas after every 2 digits.
  2. Answer:
    (a) Indian: 1,02,03,04,050 → One arab two crore three lakh four thousand fifty.
    (b) International: 1,020,304,050 → One billion twenty million three hundred four thousand fifty.
    Hint: Fix commas first; the name becomes easy.
  3. Answer:
    (a) 5 million = 50 lakhs
    (b) 6.4 billion = 640 crores
    Hint: 1 million = 10 lakhs and 1 billion = 100 crores.
  4. Answer:
    (a) 500 lakhs > 5 million
    (b) 640 crore < 60 billion
    Hint: Convert to one system: 5 million = 50 lakhs; 60 billion = 6000 crores.

SECTION C – Answers + Hints

  1. Answer (3,87,69,957):

    • Nearest thousand: 3,87,70,000
    • Nearest ten thousand: 3,87,70,000
    • Nearest lakh: 3,88,00,000
    • Nearest ten lakh: 3,90,00,000
    • Nearest crore: 4,00,00,000

    Hint: For each rounding, look at the digit just right of the rounding place.

  2. Answer (29,05,32,481):

    • Nearest thousand: 29,05,32,000
    • Nearest ten thousand: 29,05,30,000
    • Nearest lakh: 29,05,00,000
    • Nearest ten lakh: 29,10,00,000
    • Nearest crore: 29,00,00,000

    Hint: Nearest ten lakh means rounding to the nearest 10,00,000.

  3. Answer:

    • (a) 2 × 1768 × 50 = (2 × 50) × 1768 = 100 × 1768 = 176,800
    • (b) 72 × 125 = 72 × (1000 ÷ 8) = (72 ÷ 8) × 1000 = 9 × 1000 = 9,000
    • (c) 125 × 40 × 8 × 25 = (125 × 8) × (40 × 25) = 1000 × 1000 = 10,00,000

    Hint: Rearrange factors to make 100, 1000, or 10,000.

SECTION D – Answer + Hints

  1. Answer:

    • (a) Nearest thousand: 76,068 ≈ 76,000
    • (b) Nearest ten thousand: 76,068 ≈ 80,000
    • (c) Useful for: giving a quick idea in headlines, planning, and reporting.

    Hint: For nearest ten thousand, look at the thousands digit (here 6), so round up.

SECTION E – Answers + Hints

  1. Answer:

    • (i) Per day ≈ 13,560 ÷ 11 ≈ 1232.7 km ≈ 1230 km/day
    • (ii) Per hour ≈ 1232.7 ÷ 24 ≈ 51.4 km/hour ≈ 51 km/hour

    Hint: Divide total distance by days, then divide per-day by 24 for per-hour.

  2. Answer:

    • (i) 182 m = 182 × 1000 mm = 182,000 mm
    • (ii) Coins needed = 182,000
    • (iii) Indian commas: 1,82,000
    • (iv) Nearest thousand: 1,82,000 (already a multiple of 1000)

    Hint: 1 m = 1000 mm. After conversion, the number of coins equals the mm height.

Other Class 7 Maths worksheet

Amit, a BE in Mechanical Engineering, is a math enthusiast dedicated to making math fun and accessible for kids in classes 1 to 10. With a knack for simplifying complex concepts, Amit offers easy-to-understand solutions, fostering a love for math in young minds across India.

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