Term 1 Model Question Paper

8th Standard EM

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Maths

Time : 02:00:00 Hrs
Total Marks : 60
    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. If the area of a rectangle is 48m2n3 and whose length is 82mn then, its breadth is______

    (a)

    6mm

    (b)

    8m2n

    (c)

    7m2n2

    (d)

    6m2n2

  3. If ΔABC~ΔPQR in which ∠A = 53o and ∠Q = 77o, then R is

    (a)

    50°

    (b)

    50°

    (c)

    70°

    (d)

    80°

  4. How many 2 digit numbers contain the number 7?

    (a)

    10

    (b)

    18

    (c)

    19

    (d)

    20

  5. 3 x 1 = 3
  6. A line segment which joins any two points on a circle is a _________.

    ()

    chord

  7. The meeting point of more than two edges is called as ______.

    ()

    Vertex

  8. Expand the following
    (m -10)(m + 5)=______

    ()

    (m - 10)(m + 5) =  m2+ (-10+ 5)m + (-10)(5) = m2 - 5m -50

  9. 4 x 1 = 4
  10. 0 is the smallest rational number

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

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

    (a) True
    (b) False
  13. 8x3y÷4x2=2xy

    (a) True
    (b) False
  14. 4 x 1 = 4
  15. \(\frac { 1 }{ 0 } \)

  16. (1)

    Triangular Prism

  17. Area of the sector of a circle

  18. (2)

    \(=\frac { { \theta }^{ 0 } }{ { 360 }^{ 0 } } \times { \pi r }^{ 2 }\)

  19. (3)

    Cylinder

  20. (4)

    does not exist

    8 x 2 = 16
  21. Find the rational numbers for the points marked on the number line.

  22. Mangalam buys a water jug of capacity \(3\frac { 4 }{ 5 } \) litres. If she buys another jug which is \(2\frac { 2 }{ 3 } \) times as large as the smaller jug, how many liters can the larger one hold?

  23. Simplify: \(\\ \\ \\ \frac { 1 }{ 8 } \left( \frac { 1 }{ 6 } -\frac { 1 }{ 4 } \right) .\)

  24. Find the area of a sector whose perimeter is 64 cm and length of the arc is 44 cm.

  25. Find the perimeter and area of the combined figures given below. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

  26. Find the area of the combined figure given, formed by joining a semicircle
    of diameter 6 cm with a triangle of base 6 cm and height 9 cm. ( π = 3.14 )

  27. Which 3-D shapes do the following nets represent? Draw them.

  28. Guna has fixed a single door of 3 feet wide in his room where as Nathan has fixed a double door, each 1\(\frac{1}{2}\) feet wide in his room. From the closed state, if each of the single and double doors can open up to 120, whose door requires a minimum area?

  29. 3 x 3 = 9
  30. Reduce to the standard form
    \(\frac { -18 }{ -42 } \)

  31. Expand (y-5)3

  32. Find the unknowns in the following figures

  33. 4 x 5 = 20
  34. Find the perimeter and area of the given Fig.2.27. \(\left( \pi =\frac { 22 }{ 7 } \right) \)

  35. Find the area of the shaded region in the figure.

  36. Factorise : x2+8x+16

  37. Factorize 
    (x+1)2-(x-2)2

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