Rational Numbers Model Question Paper

8th Standard EM

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Maths

Time : 01:30:00 Hrs
Total Marks : 50
    4 x 1 = 4
  1. The number which is subtracted from \(\frac { -6 }{ 11 } \) to get \(\frac { 8 }{ 9 } \)

    (a)

    \(\frac { 34 }{ 99 } \)

    (b)

    \(\frac { -142 }{ 99 } \)

    (c)

    \(\frac { 142 }{ 99 } \)

    (d)

    \(\frac { -34 }{ 99 } \)

  2. The sum of the digits of the denominator in the simplest form of \(\frac { 112 }{ 528 } \)

    (a)

    4

    (b)

    5

    (c)

    6

    (d)

    7

  3. \(\frac { 3 }{ 4 } \div \left( \frac { 5 }{ 8 } +\frac { 1 }{ 2 } \right) \)

    (a)

    \(\frac { 13 }{ 10 } \)

    (b)

    \(\frac { 2 }{ 3 } \)

    (c)

    \(\frac { 3 }{ 2 } \)

    (d)

    \(\frac { 5 }{ 8 } \)

  4. \(\frac { 1 }{ 2 } -\left( \frac { 3 }{ 4 } -\frac { 5 }{ 6 } \right) \neq \left( \frac { 1 }{ 2 } -\frac { 3 }{ 4 } \right) -\frac { 5 }{ 6 } \) illustrates that subtraction does not satisfy the ________ property for rational numbers.

    (a)

    commutative

    (b)

    closure

    (c)

    distributive

    (d)

    associative

  5. 5 x 1 = 5
  6. \(\frac { -19 }{ 5 } \) lies between the integers ______________ and ________________

    ()

    -4 and -3

  7. The value of \(\frac { -5 }{ 12 } +\frac { 7 }{ 15 } \) = ________________

    ()

    \(\frac { 1 }{ 20 } \)

  8. If -3 x \(\frac { -6 }{ 11 } \) = \(\frac { -6 }{ 11 } \times x\) is _______________  

    ()

    -3

  9. If \(x\times \frac { -55 }{ 63 } =\frac { -55 }{ 63 } \times x=1\) then x is called the _______________ of \(\frac { 55 }{ 63 } \)

    ()

    Multiplicative Inverse

  10. The multiplicative inverse of -1 is ________.

    ()

    -1

  11. 5 x 1 = 5
  12. 0 is the smallest rational number

    (a) True
    (b) False
  13. The rational number that does not have a reciprocal is 0.

    (a) True
    (b) False
  14. The rational numbers that are equal to their additive inverses are 0 and –1.

    (a) True
    (b) False
  15. The additive inverse of \(\frac { -11 }{ -17 } \) is \(\frac { 11 }{ 17 } \)

    (a) True
    (b) False
  16. The multiplicative inverse exists for all rational numbers

    (a) True
    (b) False
  17. 10 x 2 = 20
  18. List five rational numbers between
    –2 and 0

  19. Draw the number line and represent the following rational numbers on it.
    \(\frac { -8 }{ 3 } \)

  20. Using average, write 3 rational numbers between \(\frac { 14 }{ 5 } \) and \(\frac { 16 }{ 3 } \)

  21. Evaluate: \(\frac { 9 }{ 2 } \times \frac { -11 }{ 3 } \)

  22. Divide: -2 by \(\frac { -6 }{ 15 } \)

  23. Arrange the following rational numbers in ascending and descending order
    \(\frac { -17 }{ 10 } ,\frac { -7 }{ 5 } ,0,\frac { -2 }{ 4 } ,\frac { -19 }{ 20 } \)

  24. In a constituency, \(\frac { 19 }{ 25 } \) of the voters had voted for candidate A whereas \(\frac { 7 }{ 50 } \) had voted for candidate B. Find the rational number of the voters who had voted for others.

  25. A piece of wire is \(\frac { 4 }{ 5 } \) m long.  If it is cut into 8 pieces of equal length, how long will each piece be?

  26. Show that \(\left( \frac { \frac { 7 }{ 9 } -5 }{ \frac { 4 }{ 3 } } \right) \div \frac { 3 }{ 2 } +\frac { 4 }{ 9 } -\frac { 1 }{ 3 } =-2\)

  27. Explain why the statements are true?
    0.4>0.386

  28. 2 x 3 = 6
  29. Write the following decimal numbers as rationals.
    1.15

  30. Find \(\frac { -5 }{ 8 } \times 7\)

  31. 2 x 5 = 10
  32. Simplify \(=\frac { -12 }{ 10 } +\left( \frac { -90 }{ 15 } \right) -\left( \frac { 3 }{ 8 } \right) \)

  33. Simplify \(\frac { 5 }{ 12 } +\frac { -5 }{ 18 } -\frac { 7 }{ 24 } \)

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