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Unit Test: Large Numbers Around Us | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download

Maximum Marks: 30
Attempt all questions

  • Question numbers 1 to 5 carry 1 mark each.
  • Question numbers 6 to 8 carry 2 marks each.
  • Question numbers 9 to 11 carry 3 marks each.
  • Question numbers 12 to 13 carry  5 marks each.

Q1. How many zeros are in one crore? (1 Mark)
(a) 
5
(b) 
7
(c) 
9
(d) 
8

Q2. In the Indian system, the number 5,23,456 is read as: (1 Mark)
(a)
Five lakh twenty-three thousand four hundred fifty-six
(b) 
Five crore twenty-three thousand four hundred fifty-six
(c)
Fifty-two lakh three thousand four hundred fifty-six
(d) 
Five lakh three thousand four hundred fifty-six

Q3. What is the place value of 7 in the number 4,87,231? (1 Mark)
(a) 
7,000
(b) 
70,000
(c) 
7,00,000
(d)
700

Q4. State whether the following statement is True or False:  (1 Mark)
"In the International system, 1 crore is equal to 10 million."

Q5. What is the smallest 7-digit number in the Indian system? (1 Mark)
(a)
1,00,000
(b)
10,00,000
(c) 
1,00,00,000
(d)
10,00,00,000

Q6. Write the number 8,76,543 in words using the Indian system and the International system. (2 Mark)

Q7. Round the number 4,56,789 to the nearest ten thousand. (2 Mark)

Q8. Calculate the number of days required to taste 1 lakh varieties of an item if you taste 4 varieties per day. (2 Mark)

Q9. Write the number 3,45,67,890 in expanded form using the Indian system. (3 Mark)

Q10. A building is 5 metres per floor. How many floors are needed to reach a height of 250 metres? If the height is increased to 260 metres, how many floors are required (round up to the nearest whole number)? (3 Mark)

Q11. Compare 25 lakh and 2 million using '<', '>', or '='. Show your working. (3 Mark)

Q12. A city has a population of 85,00,000. If each bus can carry 40 people, calculate how many buses are needed to transport the entire population. Round the number of buses to the nearest thousand and explain why rounding is useful in this context. (5 Mark)

Q13. Using the shortcut method, calculate 236 × 25. Then, verify the answer using standard multiplication. Calculate 236 × 50 using the shortcut method and verify using standard multiplication. (5 Mark)

You can access the solutions to this Unit Test here.

The document Unit Test: Large Numbers Around Us | Mathematics (Ganita Prakash) Class 7 - New NCERT is a part of the Class 7 Course Mathematics (Ganita Prakash) Class 7 - New NCERT.
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FAQs on Unit Test: Large Numbers Around Us - Mathematics (Ganita Prakash) Class 7 - New NCERT

1. What are some examples of large numbers we encounter in everyday life?
Ans. In our daily lives, we come across large numbers in various contexts. For instance, the population of a country can be in millions or billions. Financial figures, such as national debts, can also reach trillions. Additionally, distances in space, like the distance between Earth and other planets, are measured in millions or billions of kilometers. These examples show how large numbers play a significant role in understanding the world around us.
2. Why is it important to understand large numbers?
Ans. Understanding large numbers is crucial because it helps us grasp the scale of various phenomena. For example, recognizing that a billion is a thousand million can put into perspective the size of global populations or financial markets. It aids in making informed decisions, whether in economics, science, or everyday choices, by allowing us to comprehend the magnitude of data and its implications.
3. How do we write large numbers in standard form?
Ans. Large numbers can be expressed in standard form, which is a way of writing them as a product of a number between 1 and 10 and a power of 10. For example, the number 5,000 can be written as 5 x 10^3. This method simplifies the representation of large numbers and makes calculations easier, especially in scientific and mathematical contexts.
4. What strategies can help us compare large numbers effectively?
Ans. To compare large numbers, we can use several strategies. One effective method is to look at the number of digits; the number with more digits is usually larger. Additionally, rounding large numbers to the nearest thousand or million can make comparisons simpler. Lastly, using visual aids like graphs or charts can also help illustrate the differences between large numbers more clearly.
5. How do large numbers relate to scientific notation?
Ans. Large numbers are often expressed in scientific notation to simplify calculations and representation. Scientific notation uses powers of ten, which allows us to write extremely large or small numbers in a more manageable form. For example, instead of writing 1,000,000, we can write it as 1 x 10^6. This notation is widely used in scientific fields to convey large measurements or quantities efficiently.
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