CBSE Important Questions Class 7 Maths Chapter 1 Large Numbers Around Us

CBSE Important Questions Class 7 Maths Chapter 1 – Large Numbers Around Us

Class 7 Maths Chapter 1 Large Numbers Around Us is the first chapter of the new NCERT (National Council of Educational Research and Training) textbook Ganita Prakash. It teaches students how to read, write and compare big numbers such as lakhs, crores and millions. Students learn the Indian and International place value systems, where to put commas, how to round numbers to the nearest thousand, lakh or crore, and how to spot patterns in numbers.

These CBSE important questions for Class 7 Maths Chapter 1 cover multiple choice questions, comparison questions, estimation, number patterns and word problems from real life such as population growth and food packets for an expedition. Every question has a clear step-by-step answer in simple English, so students can practise on their own, parents can check the working, and teachers can use them for class tests. A free printable PDF of these important questions is also available on this page.

CBSE Important Questions Class 7 Maths Chapter 1 Large Numbers Around Us

Large Numbers Around Us (New NCERT)

Easy

Q.

Insert commas suitably and write the names according to Indian System of Numeration:

(a) 87595762 (b) 8546283

(c) 99900046 (d) 98432701

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Large Numbers Around Us (New NCERT)

Medium

Q.

Suppose you write down all the numbers 1, 2, 3, 4, …, 9, 10, 11, … The tenth digit you write is ‘1’ and the eleventh digit is ‘0’, as part of the number 10.
(a) What would the 1000th digit be? At which number would it occur?
(b) What number would contain the millionth digit?
(c) When would you have written the digit ‘5’ for the 5000th time?

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Large Numbers Around Us (New NCERT)

Medium

Q.

A bar-tailed godwit holds the record for the longest recorded non-stop flight. It travelled 13,560 km from Alaska to Australia without stopping. Its journey started on 13 October 2022
and continued for about 11 days. Find out the approximate distance it covered every day. Find out the approximate distance it covered every hour.

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Large Numbers Around Us (New NCERT)

Medium

Q.

Grey-headed albatrosses have a roughly 7-feet wide wingspan. They are known to migrate across several oceans. Albatrosses can cover about 900 – 1000 km in a day. One of the longest single trips recorded is about 12,000 km. How many days would such a trip take to cross the Pacific Ocean approximately?

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Large Numbers Around Us (New NCERT)

Medium

Q.

Find out how many coins should be stacked to match the height of the Statue of Unity. Assume each coin is 1 mm thick.

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Large Numbers Around Us (New NCERT)

Medium

Q.

You are given some number cards; 4000, 13000, 300, 70000, 150000, 20, 5. Using the cards get as close as you can to the numbers below using any operation you want. Each card can be used only once for making a particular number.
(a) 1,10,000: Closest I could make is 4000 × (20 + 5) + 13000 = 1,13,000
(b) 2,00,000:
(c) 5,80,000:
(d) 12,45,000:
(e) 20,90,800:

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Large Numbers Around Us (New NCERT)

Medium

Q.

You are given two sets of number cards numbered from 1 – 9. Place a number card in each box below to get the (a) largest possible sum (b) smallest possible difference of the two resulting numbers.

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Large Numbers Around Us (New NCERT)

Medium

Q.

How many lakhs make a billion?

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Large Numbers Around Us (New NCERT)

Medium

Q.

A calculator has only ‘+10,000’ and ‘+100’ buttons. Write an expression describing the number of button clicks to be made for the following numbers:
(a) 20,800 (b) 92,100 (c) 1,20,500 (d) 65,30,000 (e) 70,25,700

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Large Numbers Around Us (New NCERT)

Medium

Q.

The words ‘zero’ and ‘one’ share letters ‘e’ and ‘o’. The words ‘one’ and ‘two’ share a letter ‘o’, and the words ‘two’ and ‘three’ also share a letter ‘t’. How far do you have to count to find two consecutive numbers which do not share an English letter in common?

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Large Numbers Around Us (New NCERT)

Medium

Q.

The Tedious Tens only has a +10 button. How many times should it be pressed to show:

(a) Five hundred? _________
(b) 780? _________
(c) 1000? _________
(d) 3700? _________
(e) 10,000? _________
(f) One lakh? _________
(g) _________ ? 435 times

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Large Numbers Around Us (New NCERT)

Medium

Q.

Strike out 10 digits from the number 12345123451234512345 so that the remaining number is as large as possible.

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Large Numbers Around Us (New NCERT)

Medium

Q.

Write a 9-digit number where exchanging any two digits results in a bigger number. How many such numbers exist?

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Large Numbers Around Us (New NCERT)

Medium

Q.

The number 10,30,285 in words is Ten lakhs thirty thousand two hundred eighty five, which has 43 letters. Give a 7-digit number name which has the maximum number of letters.

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Large Numbers Around Us (New NCERT)

Medium

Q.

​Using all digits from 0 – 9 exactly once (the first digit cannot be 0) to create a 10-digit number, write the —
(a) Largest multiple of 5
(b) Smallest even number

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Large Numbers Around Us (New NCERT)

Medium

Q.

Make necessary reasonable assumptions and answer the questions below:
(a) If a single sheet of paper weighs 5 grams, could you lift one lakh sheets of paper together at the same time?
(b) If 250 babies are born every minute across the world, will a million babies be born in a day?
(c) Can you count 1 million coins in a day? Assume you can count 1 coin every second.

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Large Numbers Around Us (New NCERT)

Medium

Q.

I have a number for which all five nearest neighbours are 5,00,00,000. What could the number be? How many such numbers are there?

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Large Numbers Around Us (New NCERT)

Medium

Q.

Think and share situations where it is appropriate to (a) round up, (b) round down, (c) either rounding up or rounding down is okay and (d) when exact numbers are needed.

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Large Numbers Around Us (New NCERT)

Medium

Q.

Read the following numbers in Indian place value notation and write their number names in both the Indian and American systems:
(a) 4050678
(b) 48121620
(c) 20022002
(d) 246813579
(e) 345000543
(f) 1020304050

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Large Numbers Around Us (New NCERT)

Medium

Q.

Bald eagles are known to fly as high as 4500 – 6000 m above the ground level. Mount Everest is about 8850 m high. Aeroplanes can fly as high as 10,000 – 12,800 m. How many times bigger are these heights compared to Somu’s building?

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Q1. How is the number 6,205,013 written in the Indian place value system?
(a) 62,05,013
(b) 6,20,50,130
(c) 6,20,501.3
(d) 620,50,13

Answer: (a) 62,05,013
In the Indian system, commas are placed after the hundreds place (3 digits) and then after every 2 digits. So 6,205,013 (sixty-two lakh five thousand thirteen) is written as 62,05,013.

Q2. What comes just after 99,99,999 in the Indian number system?
(a) 1 billion
(b) 100,00,000
(c) 1 million
(d) 1,00,00,000

Answer: (d) 1,00,00,000
Add 1 to the given number: 99,99,999 + 1 = 1,00,00,000. In the Indian number system this is 1 crore. So the number just after 99,99,999 is 1,00,00,000.

Q3. Compare the following using >, < or = and justify using place values:
(a) 89,90,000 ___ 9 crore
(b) 75 million ___ 7 crore 50 lakh

Answer: (a) 9 crore = 9,00,00,000, which has 8 digits, while 89,90,000 has only 7 digits. A number with more digits is bigger. So 89,90,000 < 9 crore.
Answer: <
(b) 1 million = 10 lakh, so 75 million = 750 lakh = 7 crore 50 lakh = 7,50,00,000. Also, 7 crore 50 lakh = 7,00,00,000 + 50,00,000 = 7,50,00,000. Both numbers are the same.
Answer: =

Q4. A calculator has +1,00,000, +10,000, and +1,000 buttons. You want to form the number 6,43,000 using minimum clicks. What is the correct press breakdown?
(a) 6 × lakh, 4 × ten-thousand, 3 × thousand → 13 presses
(b) 64 × ten-thousand, 3 × thousand → 67 presses
(c) 600 × thousand, 43 × thousand → 643 presses
(d) 6 × lakh, 43 × thousand → 49 presses

Answer: (a) 6 × lakh, 4 × ten-thousand, 3 × thousand → 13 presses
6,43,000 = 6,00,000 + 40,000 + 3,000. Press +1,00,000 six times (6 clicks), +10,000 four times (4 clicks) and +1,000 three times (3 clicks). Total = 6 + 4 + 3 = 13 presses, which is the minimum.

Q5. What is the estimated sum of 5,29,341 + 2,85,643 to the nearest lakh?
(a) 8,00,000
(b) 7,00,000
(c) 8,10,000
(d) 9,00,000

Answer: (a) 8,00,000
Round each number to the nearest lakh first. 5,29,341 ≈ 5,00,000 (the ten-thousands digit 2 is less than 5). 2,85,643 ≈ 3,00,000 (the ten-thousands digit 8 is 5 or more). Now add: 5,00,000 + 3,00,000 = 8,00,000.

Q6. Which of the following numbers is the greatest?
(a) 6,78,345
(b) 6,87,345
(c) 6,78,435
(d) 6,87,354

Answer: (d) 6,87,354
All four numbers have 6 digits and start with 6. Compare the next digits: 6,87,354 and 6,87,345 both have 87 in the ten-thousands and thousands places, which is bigger than 78. Between 6,87,354 and 6,87,345, the tens digit 5 is bigger than 4. So 6,87,354 is the greatest.

Q7. What is the next term in the pattern?
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = ?
(a) 1234321
(b) 12344321
(c) 1234431
(d) 1235421

Answer: (a) 1234321
In this pattern the digits rise from 1 up to the number of 1s being multiplied, and then come back down to 1. For 1111 × 1111 (four 1s), the digits rise from 1 to 4 and return: 1234321.

Q8. What is the nearest crore for 1,04,89,600?
(a) 1 crore
(b) 1.05 crore
(c) 2 crore
(d) 0.9 crore

Answer: (a) 1 crore
1,04,89,600 lies between 1 crore (1,00,00,000) and 2 crore (2,00,00,000). It is only 4,89,600 more than 1 crore but 95,10,400 less than 2 crore. So it is nearer to 1 crore. The nearest crore is 1,00,00,000.

Q9. Which number does not round to 40,000 when rounded to the nearest ten thousand?
(a) 43,256
(b) 37,900
(c) 40,499
(d) 44,501

Answer: (d) 44,501
To round to the nearest ten thousand, look at the thousands digit. 43,256 → 40,000; 37,900 → 40,000; 40,499 → 40,000. But 44,501 is more than 44,500, so it is nearer to 50,000 than to 40,000, and rounds to 50,000.

Q10. Observe the pattern and find the missing number in the sequence below:
(3 × 1) + 2 = 5
(3 × 2) + 2 = 8
(3 × 3) + 2 = 11
(3 × 4) + 2 = ?
(a) 12
(b) 13
(c) 14
(d) 15

Answer: (c) 14
Each term follows the rule: (3 × n) + 2. For n = 4: (3 × 4) + 2 = 12 + 2 = 14.

Q11. What is the pattern rule in the series: 2, 4, 8, 16, 32, ___
(a) Add 2 each time
(b) Multiply by 2 each time
(c) Subtract 2 each time
(d) Multiply by 3 each time

Answer: (b) Multiply by 2 each time
Each number is double the previous one: 2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16, 16 × 2 = 32. So the next number is 32 × 2 = 64.

Q12. The population of a city was 4,28,165 in 2010 and 5,84,299 in 2020.
(a) By how much did the population grow?
(b) Estimate the growth to the nearest lakh.

Answer: (a) Growth = Population in 2020 − Population in 2010
= 5,84,299 − 4,28,165 = 1,56,134
So the population grew by 1,56,134.
(b) To round 1,56,134 to the nearest lakh, look at the ten-thousands digit, which is 5. Since it is 5 or more, round up the lakh digit from 1 to 2.
1,56,134 rounded to the nearest lakh = 2,00,000.

Q13. A special calculator adds +10,000 and +100. How would you use it to display the number 64,200 using the smallest number of button presses?

Answer: Use the bigger button as many times as possible first.
64,200 ÷ 10,000 = 6 (remainder 4,200). So press +10,000 six times → 60,000.
The remaining amount is 64,200 − 60,000 = 4,200. Since 4,200 ÷ 100 = 42, press +100 forty-two times.
Total button presses = 6 (for +10,000) + 42 (for +100) = 48 presses.

Q14. A mountain expedition requires 30,000 calories daily per team.
(a) How many calories are needed for a 45-day trip?
(b) Write the number in the Indian system.
(c) Round it to the nearest lakh.
(d) If they carry food packets of 3,000 calories each, how many packets are needed?

Answer: (a) Total calories needed = 30,000 × 45 = 13,50,000 calories.
(b) Indian system: 13,50,000 = Thirteen lakh fifty thousand.
(c) The ten-thousands digit is 5, so round up: 13,50,000 rounded to the nearest lakh is 14,00,000.
(d) Number of packets = 13,50,000 ÷ 3,000 = 1350 ÷ 3 = 450 packets.

Q15. A wildlife reserve in Assam records the presence of 1578905 butterflies annually. Write this number in the Indian and International systems using commas and words.

Answer: Indian system: 15,78,905 → Fifteen lakh seventy-eight thousand nine hundred five.
(Commas after 3 digits from the right, then after every 2 digits.)
International system: 1,578,905 → One million five hundred seventy-eight thousand nine hundred five.
(Commas after every 3 digits from the right.)

Related Study Material on Extramarks

• CBSE Important Questions Class 7 Maths Chapter 2
• CBSE Important Questions Class 7 Maths Chapter 3
• CBSE Important Questions Class 7 Maths Chapter 4
• CBSE Important Questions Class 7 Maths Chapter 5
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• CBSE Important Questions Class 7 Maths Chapter 7
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