9th Standard English Medium Maths Subject Real Numbers Book Back 5 Mark Questions with Solution Part - II

9th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 01:00:00 Hrs
Total Marks : 50

    5 Marks

    10 x 5 = 50
  1. Find the 5th root of 32

  2. Find the 5th root of 243.

  3. Find the 5th root of 100000

  4. Simplify the following using multiplication and division properties of surds:
    (i) \(\sqrt { 3 } \times \sqrt { 5 } \times \sqrt { 2 } \)
    (ii) \(\sqrt { 35 } \div \sqrt { 7 } \)
    (iii) \(\sqrt [ 3 ]{ 27 } \times \sqrt [ 3 ]{ 8 } \times \sqrt [ 3 ]{ 125 } \)
    (iv) \((7\sqrt { a } -5\sqrt { b } )(7\sqrt { a } +5\sqrt { b } )\)
    (v) \(\left[ \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right] \div \sqrt { \frac { 16 }{ 81 } } \)

  5. Arrange surds in descending order:
    (i) \(\sqrt [ 3 ]{ 5 } ,\sqrt [ 9 ]{ 4 } ,\sqrt [ 6 ]{ 3 } \)
    (ii) \(\sqrt [ 2 ]{ \sqrt [ 3 ]{ 5 } } ,\sqrt [ 2 ]{ \sqrt [ 3 ]{ 5 } } ,\sqrt [ 3 ]{ \sqrt [ 4 ]{ 7 } } ,\sqrt { \sqrt { 3 } } \) 

  6. Can you get a pure surd when you find
    (i) the sum of two surds
    (ii) the difference of two surds
    (iii) the product of two surds
    (iv) the quotient of two surds
    Justify each answer with an example.

  7. Express the following rational numbers into decimal and state the kind of decimal expansion
    (i) \(\frac { 2 }{ 7 } \)
    (ii) \(-5\frac { 3 }{ 11 } \)
    (iii) \(\frac { 22 }{ 3 } \)
    (iv) \(\frac { 327 }{ 200 } \)

  8. Represent the following numbers on the number line.
    (i) 5.348
    (ii) \(6.\bar { 4 } \) up to 3 decimal places
    (iii) \(4.\overline { 73 } \)  upto 4 decimal places

  9. Without actual division, find which of the following rational numbers have terminating decimal expansion
    (i) \(\frac { 7 }{ 128 } \)
    (ii) \(\frac { 21 }{ 15 } \)
     (iii) \(4\frac { 9 }{ 35 } \)
    (iv) \(\frac { 219 }{ 2200 } \)

  10. 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) \(\frac { \sqrt { 2 } }{ 2 } \)

*****************************************

Reviews & Comments about 9th Standard English Medium Maths Subject Real Numbers Book Back 5 Mark Questions with Solution Part - II

Write your Comment