Real Numbers Model Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. Which one of the following has terminating decimal expansion?

    (a)

    \(\frac { 7 }{ 9 } \)

    (b)

    \(\frac { 8 }{ 15 } \)

    (c)

    \(\frac { 1 }{ 2 } \)

    (d)

    \(\frac { 5 }{ 32 } \)

  2. Irrational number has a________________ .

    (a)

    terminating decimal

    (b)

    no decimal part

    (c)

    non-terminating and recurring decimal

    (d)

    non-terminating and non-recurring decimal

  3. \(\sqrt [ 3 ]{ 192 } +\sqrt [ 3 ]{ 24 } \)

    (a)

    \(3\sqrt [ 3 ]{ 6 } \)

    (b)

    \(6\sqrt [ 3 ]{ 3 } \)

    (c)

    \(\sqrt [ 3 ]{ 216 } \)

    (d)

    \(\sqrt [ 6 ]{ 216 } \)

  4. When \(\left( 2\sqrt { 3 } -\sqrt { 5 } \right) ^{ 2 }\) is simplified, we get

    (a)

    17

    (b)

    \(\sqrt { 15 } \)

    (c)

    \(17-4\sqrt { 15 } \)

    (d)

    \(4\sqrt { 15 } \)

  5. The length of a square is 1.2X103 m. Its area is_______

    (a)

    14.4 X 106

    (b)

    1.44 X 106

    (c)

    0.144 X 10

    (d)

    1440

  6. 5 x 2 = 10
  7. Find three different irrational numbers between the rational numbers  \(\frac { 5 }{ 7 } \) and \(\frac { 9 }{ 11 } \)

  8. Without actual division classify the decimal expansion of the following numbers as terminating or non-terminating and ·recurring.
    \(7\over 16\)

  9. Use a fractional index to write \(\left( 5\sqrt { 125 } \right) ^{ 7 }\)

  10. Can you reduce the following numbers to surds of same of same order \(\sqrt { 5 } \)

  11. Express the surds in the simple form \(\sqrt [ 3 ]{ 128 } \)

  12. 5 x 3 = 15
  13. Arrange in ascending order:\(\sqrt [ 3 ]{ 5 } ,\sqrt [ 4 ]{ 7 } ,\sqrt [ 2 ]{ 6 } \)

  14. Express the following surds in its simple form \(\sqrt [ 4 ]{ 324 } \)

  15. Substract \(6\sqrt { 7 } \) from \(9\sqrt { 7 } \) . Is the answer rational or irrational?

  16. Compute and give the answer in the simplest form;\(3\sqrt { 162 } \times 7\sqrt { 50 } \times 6\sqrt { 98 } \)

  17. Write in scientific notation:(500000)5X(3000)3

  18. 4 x 5 = 20
  19. Find any  seven rational numbers between \(\frac { 5 }{ 8 } \) and \(\frac { 5 }{ 6 } \)

  20. Find any three rational numbers between \(\frac { 1 }{ 2 } \) and \(\frac { 1 }{ 5 } \)

  21. Represent \(-\frac { 2 }{ 11 } ,-\frac { 5 }{ 11 } and-\frac { 9 }{ 11 } \)on the number line.

  22. Classify the numbers as rational or irrational
    (i) \(\sqrt { 10 } \)
    (ii) \(\sqrt { 49 } \)
    (iii) 0.025
    (iv) \(0.7\overline { 6 } \)
    (v) 2.505500555...
    (vi) \(\frac { \sqrt { 2 } }{ 2 } \)

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