📘Class 6 Maths Chapter: Knowing Our Numbers👉 Designed with tricky logic, multi-step thinking, and exam traps

by No comments

🔹 Section A – Logical Number Sense

  1. The digit in the ten lakh place of a number is 5. Write its place value.
  2. The difference between a number and its successor is always ______.
  3. If the smallest 6-digit number is increased by 99,999, what number do you get?
  4. A number has 7 digits. What is the smallest such number?
  5. How many numbers lie between 9,999 and 10,050?

🔹 Section B – Advanced Place Value

  1. In the number 8,47,39,521:
    a) Find the place value of 4
    b) Find the digit in the lakh place
  2. Write the greatest 7-digit number using digits 2, 3, 5, 7 without repetition.
  3. Write the smallest 6-digit number using digits 0, 1, 4, 8 without repetition.
  4. A number is written as:
    5,00,00,000 + 7,00,000 + 80,000 + 600 + 3
    Write the number.
  5. Find the difference between face value and place value of 6 in 6,54,321.

🔹 Section C – Number Formation Tricks

  1. Using digits 1, 2, 3, 4, 5, find the greatest number divisible by 5.
  2. Using digits 0, 1, 2, 3, 4 form the smallest 5-digit number.
  3. Form the greatest number using digits 5, 0, 3, 8, 1 such that it is even.
  4. How many 4-digit numbers can be formed using digits 1, 2, 3 (repetition allowed)?
  5. How many 5-digit numbers can be formed using digits 1, 2, 3, 4 without repetition?

🔹 Section D – Estimation & Rounding (HOTS)

  1. Estimate the sum using rounding to nearest thousand:
    4,87,532 + 3,21,489
  2. Round 7,49,999 to nearest:
    a) 10,000
    b) 1,00,000
  3. Which is a better estimate:
    a) Rounding to nearest 10
    b) Rounding to nearest 100
    Explain briefly.
  4. Find the estimated difference:
    8,76,210 − 2,34,567

🔹 Section E – Comparison & Patterns

  1. Insert the correct sign:
    7,89,432 ___ 7,98,342
  2. Find the smallest number:
    6,54,321; 6,45,231; 6,54,231
  3. If digits are reversed in 5,23,401, is the new number greater or smaller?
  4. Arrange in ascending order:
    8,00,000; 80,000; 8,00,00,000; 8,000

🔹 Section F – Indian vs International System

  1. Write 7,89,65,432 in International system
  2. Write 45,678,901 in Indian system
  3. What is the place value of 9 in 3,49,78,561?
  4. Write the number name (International): 5,678,901

🔹 Section G – Roman Numerals Logic

  1. Write 94 in Roman numerals
  2. Which is greater: XC or LXXXV?
  3. Write the smallest number that can be written using three X’s.
  4. Convert CXL to Hindu-Arabic

🔹 Section H – Word Problems (Multi-step)

  1. A company produced 8,76,540 units in 2023 and 9,10,760 units in 2024.
    Find the increase.
  2. Population of a city increased from 9,89,000 to 10,05,000.
    Find the increase.
  3. A number is 7,65,432.
    What will it become if:
    a) 10,000 is added
    b) 1,00,000 is subtracted
  4. Find the difference between greatest and smallest 5-digit numbers.

🔹 Section I – Higher Order Thinking (Olympiad)

  1. Find the greatest number of 6 digits divisible by 100.
  2. How many numbers are there between:
    a) 999 and 9999
    b) 10,000 and 10,100
  3. A number when rounded to nearest 1000 becomes 45,000.
    Write the smallest possible number.
  4. Find the smallest number which when rounded to nearest 10 becomes 500.
  5. If a number is increased by 1, it becomes the next multiple of 1000.
    What could be the number?

🔹 Section J – Challenge Zone 🧩

  1. Form the largest number using digits 2, 4, 6, 8 such that it is less than 7000.
  2. Find the number of zeros in the greatest 7-digit number.
  3. A number has digits whose sum is 25 and all digits are different.
    Give one possible number.
  4. If the difference between a number and its predecessor is 1, what is always true?
  5. Find a number which remains same when digits are reversed.

🔹 Section K – Super HOTS 🔥

  1. How many 6-digit numbers can be formed using digits 1, 2, 3, 4 (repetition allowed)?
  2. Find the difference between:
    Largest 6-digit number and smallest 5-digit number.
  3. Write a number between 5,00,000 and 6,00,000 divisible by 10 and 100.
  4. Find the smallest number that becomes 10,000 when rounded to nearest 1000.
  5. If all digits of a number are same and it is a 6-digit number, write any 2 such numbers.

✅ Answer Key (Final)

  1. 50,00,000
  2. 1
  3. 1,99,999
  4. 10,00,000
  5. 50
  6. a) 40,00,000 b) 3
  7. 7,53,200
  8. 1,04,800
  9. 5,07,80,603
  10. 5,99,994
  11. 54,321
  12. 10,234
  13. 85,310
  14. 81
  15. 24
  16. ≈ 8,09,000
  17. a) 7,50,000 b) 7,00,000
  18. Nearest 10 (more accurate)
  19. ≈ 6,40,000
  20. <
  21. 6,45,231
  22. Smaller
  23. 8,000 < 80,000 < 8,00,000 < 8,00,00,000
  24. 78,965,432
  25. 4,56,78,901
  26. 9,00,000
  27. Five million six hundred seventy-eight thousand nine hundred one
  28. XCIV
  29. XC
  30. 30
  31. 140
  32. 34,220
  33. 16,000
  34. a) 7,75,432 b) 6,65,432
  35. 89,999
  36. 9,99,900
  37. a) 9000 b) 100
  38. 44,500
  39. 495
  40. 999
  41. 6,842
  42. 6 zeros? ❌ → Correct: 6-digit greatest number = 9,99,999 → 0 zeros
  43. Example: 9,8,7,1 = 9871 (many answers possible)
  44. Difference always 1
  45. Example: 1,22,1 (palindrome type)
  46. 4096
  47. 9,99,999 − 10,000 = 9,89,999
  48. 5,00,000
  49. 9,500
  50. 1,11,111; 9,99,999
Tags