Extra Questions for Class 7 Maths Chapter 1: Large Numbers Around Us – HOTS

Fresh HOTS-level extra questions for Class 7 Maths Chapter 1 (Large Numbers Around Us), with numbers not found in the NCERT book. Full worked solutions included. These Class 7 Mathematics Chapter 1 important questions are handy for last-minute exam practice.

Last Updated: September 23, 2026

Q1 (Indian vs International conversion). Write 7,08,45,231 in both Indian and International systems, with words.
Solution: Indian: 7,08,45,231 — Seven crore eight lakh forty-five thousand two hundred thirty-one. International: 70,845,231 — Seventy million eight hundred forty-five thousand two hundred thirty-one.

Q2 (Estimation, HOTS). A stadium’s attendance over 3 days was 84,532, 91,206, and 76,890. Estimate the total by rounding each to the nearest ten-thousand, then find the exact total.
Solution: Rounded: 80,000+90,000+80,000 = 2,50,000 (estimate). Exact: 84,532+91,206+76,890 = 2,52,628 — close to the estimate.

Q3 (Assertion–Reason). Assertion (A): 5 crore is greater than 45 million. Reason (R): 1 crore = 10 million.
Solution: R is true (1 crore = 1,00,00,000 = 10,000,000 = 10 million). Using R: 5 crore = 50 million, which IS greater than 45 million, so A is also true, and R correctly explains A. Both true, R explains A.

Q4 (Place value expression). Express 3,08,047 as a sum of place values, and write it in words.
Solution: 3,08,047 = (3×1,00,000) + (0×10,000) + (8×1,000) + (0×100) + (4×10) + (7×1) = 3,00,000+8,000+47. In words: Three lakh eight thousand forty-seven.

Q5 (Multiplication shortcut). Use a factoring shortcut to compute 250 × 44 × 4.
Solution: Group as 250×4 = 1000, so 1000×44 = 44,000.

Q6 (Comparing across systems). Which is larger: 72 lakh or 7 million? By how much (in the Indian system)?
Solution: 72 lakh = 72,00,000. 7 million = 70,00,000. 72 lakh is larger, by 72,00,000 − 70,00,000 = 2,00,000 (2 lakh).

Q7 (Digit puzzle). Using the digits 2, 4, 6, 8 exactly once, form the largest and smallest possible 4-digit numbers, and find their difference.
Solution: Largest = 8642. Smallest = 2468. Difference = 8642−2468 = 6174.

Q8 (Reasonable estimation). A library has 1,25,000 books. If a librarian can scan 1 book every 3 seconds, roughly how many hours would it take to scan the whole collection (8-hour workdays)?
Solution: Total seconds = 1,25,000 × 3 = 3,75,000 seconds. In hours: 3,75,000 ÷ 3600 ≈ 104 hours, or about 13 workdays (104÷8 = 13).

Q9 (Spot the error). A student writes: “45,00,000 in the International system is forty-five hundred thousand.” Correct this.
Solution: 45,00,000 (Indian) = 4,500,000 (International grouping). This should be read as “four million five hundred thousand” in the International system, not “forty-five hundred thousand” (which isn’t standard International-system phrasing, even though numerically 45 hundred-thousand does equal 4.5 million).

Q10 (Multi-step word problem). A company’s revenue was ₹38,45,000 last year and ₹52,10,000 this year. By how much did revenue increase, and what is this increase as an estimate rounded to the nearest lakh?
Solution: Exact increase = 52,10,000 − 38,45,000 = ₹13,65,000. Rounded to the nearest lakh: ₹14,00,000 (since 65,000 rounds up).

More on This Chapter

See also: NCERT Solutions for Class 7 Maths Chapter 1, Class 7 Maths Part 1 NCERT Book and the Class 7 Maths Formulas Handbook.

Revision Notes: Revision Notes for Class 7 Maths Chapter 1

Frequently Asked Questions

How can scientific notation, or powers of 10, make working with very large numbers like a country population easier?
Writing a huge number as a decimal multiplied by a power of 10 keeps calculations manageable, since comparing such numbers becomes a matter of comparing decimal parts and powers rather than counting long strings of digits.

If a number is written in the Indian system as 12,34,56,789, how would it be regrouped in the international system?
In the international system the same number would be regrouped as 123,456,789, since digits are grouped in sets of three from the right rather than the Indian pattern of one group of three followed by groups of two.

Written by Satish

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