Numbers Model Question Paper

6th Standard

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Maths

Time : 02:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. The only even prime number is

    (a)

    4

    (b)

    6

    (c)

    2

    (d)

    0

  2. The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

    (a)

    80

    (b)

    100

    (c)

    128

    (d)

    160

  3. If the number 6354 * 97 is divisible by 9, then the value * is

    (a)

    2

    (b)

    4

    (c)

    6

    (d)

    7

  4. The greatest 4 digit number which is exactly divisible by 8, 9 and 12 is

    (a)

    9999

    (b)

    9996

    (c)

    9696

    (d)

    9936

  5. Which of the following cannot be the HCF of two numbers whose LCM is 120?

    (a)

    60

    (b)

    40

    (c)

    80

    (d)

    30

  6. 4 x 1 = 4
  7. The number of prime numbers between 11 and 60 is________.

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    12

  8. The number of distinct prime factors of the smallest 4 digit number is ___________

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    2

  9. The HCF of 45 and 75 is ___________

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    15

  10. The least number that should be added to 57 so that the sum is exactly divisible by 2, 3, 4 and 5 is ______________

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    3

  11. 4 x 1 = 4
  12. The sum of any number of odd numbers is always even

    (a) True
    (b) False
  13. If a number is divisible by 6, then it must be divisible by 3.

    (a) True
    (b) False
  14. The LCM of two successive numbers is the product of the numbers

    (a) True
    (b) False
  15. The HCF of two numbers is always a factor of their LCM

    (a) True
    (b) False
  16. 6 x 2 = 12
  17. Write the smallest and the biggest two digit prime number.

  18. The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pairs exist upto 100.

  19. I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?

  20. Find the HCF and the LCM of the numbers 154, 198 and 286.

  21. Find the smallest number which is exactly divisible by all the numbers from 1 to 9.

  22. Explain your answer with reason for the following statements
    A number is divisible by 6, if it is divisible by 12.

  23. 5 x 3 = 15
  24. A book seller has 175 English books, 245 Science books and 385 Mathematics books. He wants to sell the books in a box, subject-wise in equal numbers. What will be the greatest number of the boxes required? Also find the number of books for each subject in a box.

  25. The LCM of two co-prime numbers is 5005. If one of the numbers is 65, then find the other number.

  26. Find the length of the longest rope that can be used to measure exactly the ropes of length 1m 20cm, 3m 60cm and 4m.

  27. The product of 2 two digit numbers is 300 and their HCF is 5. What are the numbers?

  28. The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example

  29. 2 x 5 = 10
  30. Find the HCF of the numbers 18, 24 and 30 by factor tree method.

  31. There are four Mobile Phones in a house. At 5 a.m, all the four Mobile Phones will ring together. Thereafter, the first one rings every 15 minutes, the second one rings every 20 minutes, the third one rings every 25 minutes and the fourth one rings every 30 minutes. At what time, will the four Mobile Phones ring together again?

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