Class 5th – Place Value and Number Systems – Question Paper

SECTION A – Objective Type (1 Mark Each)

1. What is the value of the digit 7 in the number 8,75,321?
   a) 7,000  b) 700  c) 70,000  d) 7

2. Which of the following numbers is closest to 87 lakh?
   a) 8,700,000  b) 87,000,000  c) 870,000  d) 8,70,00,000

3. Choose the correct standard form of: 70,00,000 + 9,00,000 + 80,000 + 5,000 + 400 + 60 + 3
   a) 79,85,463  b) 79,80,543  c) 70,90,463  d) 79,85,403

4. Write in figures: Forty-eight million, three hundred twenty-five thousand, nine hundred one
   a) 48,325,091  b) 48,325,901  c) 48,302,591  d) 48,235,901

5. One million equals how many lakhs?
   a) 100  b) 10  c) 1  d) 1000

6. Form the smallest 9-digit number using 3, 0, 8, 6, 2, 4, 9, 1, 7
   a) 1,023,467,89  b) 1,023,467,98  c) 1,023,467,89  d) 1,023,467,89

7. Find the sum of the place value and face value of 9 in 92,458
   a) 90,009  b) 9009  c) 900  d) 909

8. Write the number name for 9,87,02,316 (Indian System):
   a) Nine crore eighty-seven lakh two thousand three hundred sixteen
   b) Ninety-eight crore seventy-two lakh three hundred sixteen
   c) Nine crore eighty-seven thousand two hundred sixteen
   d) Ninety crore eighty-seven lakh two thousand three hundred sixteen

ASSERTION-REASONING (Choose a, b, c, or d)

(a) Both Assertion and Reason are correct and reason is the correct explanation.
(b) Both Assertion and Reason are correct but reason is not the correct explanation.
(c) Assertion is true but the reason is false.
(d) Assertion is false but the reason is true.

9. Assertion: 99,99,999 is the largest 7-digit number.
   Reason: The next number after 99,99,999 is 1,00,00,000 which is an 8-digit number.

10. Assertion: The place value of a digit increases by ten times as we move left.
    Reason: The digit’s face value is the same irrespective of its place.

11. Assertion: 1 crore = 10 million.
    Reason: 1 crore = 1,00,00,000 and 10 million = 1,00,00,000.

12. Assertion: In 8,47,215, the digit 8 is in the lakh’s place.
    Reason: In the Indian system, the second digit from the left is always in the lakh’s place.

13. Assertion: The face value and place value of 0 is always zero.
    Reason: Zero multiplied by any place value remains zero.

SECTION B – Short Answer (2 Marks Each)

14. Write the expanded form of 78,432,019.

15. Round 9,64,735 to the nearest ten thousand.

16. Arrange the following in descending order:
    76,43,980; 56,78,321; 98,12,654; 67,89,210

17. Convert the Roman Numerals: DCCXLVI + CCCIX to Roman numeral form.

18. Write 8,54,23,019 in number name (International System).

19. Count by 5000s from 1,27,35,000 and write the next four numbers.

SECTION C – Descriptive (3 Marks Each)

20. In the number 953,284,107:
    a) What is the place value of 9?
    b) Which digit is in the ten thousand’s place?
    c) What is the face value of the digit in the hundred million’s place?

21. Make a place value chart (Indian System) for:
    a) 72,49,315  b) 8,35,71,020  c) 61,28,309

22. Write the number name for 864,752,190 (International System).

23. Form the largest and smallest 6-digit numbers using 2, 5, 0, 6, 3, 9 without repeating digits.

24. Compare using <, >, or =:
    a) 70,23,154 __ 70,32,145
    b) 1 crore __ 10 million
    c) 9,00,00,000 __ 90,00,000

25. Fill in the blanks:
    a) XC = ______
    b) LXV = ______ (Hindu-Arabic)
    c) 500 in Roman numerals = ______

SECTION D – Long Answer (5 Marks Each)

26. Fill in the blanks:
    a) 65 million = ______ hundred thousand
    b) 48 million = ______ lakh
    c) ______ crore = 64 million
    d) ______ million = 5,00,000 ten thousands
    e) 27 million = ______ hundred thousand

27. Reverse the digits, rewrite with commas, and write in words:

SECTION E – Case Study (4 Marks Each)

28. Tech Factory Annual Production Report (2024):

• Laptops: 6,75,410 units

• Desktops: 4,91,205 units

• Monitors: 3,84,760 units

Shipments:
Germany – 5,00,000  France – 4,50,000  Spain – 6,01,000

Answer the following:
a) Which product had the highest production?
b) Round the number of desktops to the nearest thousand.
c) Arrange laptop, desktop, and monitor numbers in ascending order.
d) Find the place value of 8 in the monitor production.

29. Planet Explorers 2025 – Mission Distances from Earth:

• Saturn: 1,22,00,000 km

• Uranus: 2,99,00,000 km

• Neptune: 4,87,00,000 km

• Pluto: 76,85,00,000 km

Mission Costs:
Saturn – ₹5,20,00,000  Uranus – ₹11,75,00,000  Neptune – ₹15,40,00,000  Pluto – ₹98,95,00,000

Answer the following:
a) Which mission was the least expensive?
b) Arrange the distances in descending order.
c) What is the place value of 9 in the Uranus mission distance?
d) Write Neptune’s mission distance in words.

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