Rational Numbers Model Question Paper

8th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 40
    5 x 1 = 5
  1. The sum of the digits of the denominator in the simplest form of \(\frac { 112 }{ 528 } \)

    (a)

    4

    (b)

    5

    (c)

    6

    (d)

    7

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

    (a)

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

    (b)

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

    (c)

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

    (d)

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

  3. Closure property is not true for division of rational numbers because of the number

    (a)

    0

    (b)

    -1

    (c)

    0

    (d)

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

  4. \(\frac{5}{6}\div\frac{6}{2}\) is 

    (a)

    \(\frac{5}{2}\)

    (b)

    \(\frac{2}{5}\)

    (c)

    \(\frac{5}{18}\)

    (d)

    \(\frac{30}{12}\)

  5. \(\frac { 1 }{ 2 } \times \left( \frac { 2 }{ 3 } +\frac { 6 }{ 4 } \right) =\left( \frac { 1 }{ 2 } +\frac { 2 }{ 3 } \right) +\left( \frac { 1 }{ 2 } \times \_ \_ \right) \)

    (a)

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

    (b)

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

    (c)

    \(\frac{4}{6}\)

    (d)

    0

  6. 5 x 2 = 10
  7. Write four rational numbers equivalent to
    \(\frac { -7 }{ 6 } \)

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

  9. Draw the number line and represent the following rational numbers on it.
    \(\frac { -17 }{ -5 } \)

  10. Find the rational numbers represented by each of the question marks marked on the following number lines.

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

  12. 5 x 3 = 15
  13. Write the following decimal numbers as rationals.
    3.0

  14. Write the following decimal numbers as rationals.
    −5.8

  15. Write the following rational numbers in descending and ascending order.
    \(\frac { -3 }{ 5 } ,\frac { 7 }{ -10 } ,\frac { -15 }{ 20 } ,\frac { 14 }{ -30 } ,\frac { -8 }{ 15 } \)

  16. Simplify \(\frac { 2 }{ 5 } +\frac { 8 }{ 3 } +\frac { -11 }{ 15 } +\frac { 4 }{ 5 } +\frac { -2 }{ 3 } \)

  17. 2 x 5 = 10
  18. Find four rational numbers between \(\frac{2}{3}\) and \(\frac{4}{5}\)

  19. Divide the. sum of \(\frac{15}{12}\)and \(\frac{12}{7}\) by their difference.

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