Term 1 Model Questions

8th Standard EM

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Maths

Time : 02:00:00 Hrs
Total Marks : 60
    5 x 1 = 5
  1. Which of the following rational numbers is the greatest?

    (a)

    \(\frac { -17 }{ 24 } \)

    (b)

    \(\frac { -13 }{ 16 } \)

    (c)

    \(\frac { 7 }{ -8 } \)

    (d)

    \(\frac { -31 }{ 32 } \)

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

    (a)

    commutative

    (b)

    closure

    (c)

    distributive

    (d)

    associative

  3. The product of 7p3 and (2p2)2 is

    (a)

    14p12

    (b)

    28B7

    (c)

    9p7

    (d)

    11p12

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

    (a)

    50°

    (b)

    50°

    (c)

    70°

    (d)

    80°

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

    (a)

    10

    (b)

    18

    (c)

    19

    (d)

    20

  6. 5 x 1 = 5
  7. The standard form of \(\frac { +58 }{ -78 } \) is ______________

    ()

    \(\frac { -29 }{ 39 } \)

  8. The multiplicative inverse of -1 is ________.

    ()

    -1

  9. The longest chord of a circle is __________.

    ()

    diameter

  10. A cube has _________ faces.

    ()

    Six

  11. \(\cfrac { { 18m }^{ 4 } }{ { 2m }^{ 3 }{ n }^{ 5 } } =\_ \_ \_ { mn }^{ 5 }\)

    ()

    \(\cfrac { 18{ m }^{ 4 }(n^{ 98 }) }{ 2m^{ (3) }{ n }^{ 3 } } =9mn^{ 5 }\)

  12. 3 x 1 = 3
  13. 0 is the smallest rational number

    (a) True
    (b) False
  14. The only rational number which is its own reciprocal is –1.

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

    (a) True
    (b) False
  16. 5 x 1 = 5
  17. Area of a circle

  18. (1)

    Square Pyramid

  19. Circumference of a semicircle

  20. (2)

    Cuboid

  21. (3)

    (π+2)r

  22. (4)

    πr2

  23. (5)

    Triangular Prism

    10 x 2 = 20
  24. Write four rational numbers equivalent to
    \(\frac { 8 }{ 9 } \)

  25. Find the rational numbers for the points marked on the number line.

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

  27. In a recipe making, every \(1\frac { 1 }{ 2 } \) cup of rice requires \(2\frac { 3 }{ 4 } \) cups of water. Express this, in the ratio of rice to water.

  28. Find the area of a sector whose length of the arc is 50 mm and radius is 14 mm.

  29. Dhamu fixes a square tile of 30 cm on the floor. The tile has a sector design on it as shown in the figure. Find the area of the sector. (π=3.14).

  30. Find the area of the shaded part of the following figures. ( π = 3.14 )

  31. Can a polyhedron have 12 faces, 22 edges and 17 vertices?

  32. 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?

  33. Multiply a monomial by a monomial
    2p2q3, −9pq2

  34. 4 x 3 = 12
  35. The sum of two rational numbers is \(\frac { 4 }{ 5 } \)If one number is \(\frac { 2 }{ 15 } \) find the other.

  36. Find the value of (3a+4c)2 by using (a+b)2 identity.

  37. Find the unknowns in the following figures

  38. In how many ways, can the students answer 3 questions which are true or false type in a slip test?

  39. 2 x 5 = 10
  40. Find the area of the irregular polygon field whose measures are as given in the figure.

  41. Use graph colouring to determine the minimum number of colours that can be used. The adjacent states should not have the same colour.
    Use the graph given below such that,
    (i) each state is assigned a coloured vertex.
    (ii) edges are used to connect the vertices of States.

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