Class 9 One Mark Test

9th Standard

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Maths

Time : 00:20:00 Hrs
Total Marks : 20

    I. Choose the best answer

    20 x 1 = 20
  1. Find the value of m from the equation 2x + 3y = m. If its one solution is x = 2 and y = −2 .

    (a)

    2

    (b)

    -2

    (c)

    10

    (d)

    0

  2. Which of the following is a solution of the equation 2x − y = 6.

    (a)

    (2,4)

    (b)

    (4,2)

    (c)

    (3, −1)

    (d)

    (0,6)

  3. Which of the following is not a linear equation in two variable.

    (a)

    ax + by + c = 0

    (b)

    0x + 0y + c = 0

    (c)

    0x + by + c = 0

    (d)

    ax + 0y + c = 0

  4. The value of k for which the pair of linear equations 4x + 6y −1 = 0 and 2x + ky − 7 = 0 represents parallel lines is  _______.  

    (a)

    k = 3

    (b)

    k = 2

    (c)

    k = 4

    (d)

    k = -3

  5. If \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } =\frac { { b }_{ 1 } }{ { b }_{ 2 } } \neq \frac { { c }_{ 1 } }{ { c }_{ 2 } } \) where a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then the given pair of linear equation has _________ solution(s)

    (a)

    no solution

    (b)

    two solutions

    (c)

    infinite

    (d)

    unique

  6. The coordinates of the point C dividing the line segment joining the points P(2, 4) and Q(5, 7) internally in the ratio 2:1 is______.

    (a)

    \((\frac{7}{2},\frac{11}{2})\)

    (b)

    (3, 5)

    (c)

    (4, 4)

    (d)

    (4, 6)

  7. In what ratio does the point Q(1, 6) divide the line segment joining the points P(2, 7) and R(−2, 3) ______.

    (a)

    1 :2

    (b)

    2 :1

    (c)

    1 :3

    (d)

    3 :1

  8. The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is ______.

    (a)

    2:3

    (b)

    3:4

    (c)

    4:7

    (d)

    4:3

  9. If (1,−2), (3, 6), (x, 10) and (3, 2) are the vertices of the parallelogram taken in order, then the value of x is ______.

    (a)

    6

    (b)

    5

    (c)

    4

    (d)

    3

  10. If tan \(\theta\) cot 370 , then the value of \(\theta\) is ________.

    (a)

    370

    (b)

    530

    (c)

    900

    (d)

    10

  11. The value of tan72° tan18° is ________.

    (a)

    0

    (b)

    1

    (c)

    180

    (d)

    720

  12. If 2 sin 2\(\theta\) = \(\sqrt { 3 } \) , them the value of \(\theta\) is ________.

    (a)

    900

    (b)

    300

    (c)

    450

    (d)

    600

  13. If cos A = \(\frac { 3 }{ 5 } \), them the value of tan A is

    (a)

    \(\frac { 4 }{ 5 } \)

    (b)

    \(\frac { 3 }{ 4 } \)

    (c)

    \(\frac { 5 }{ 3 } \)

    (d)

    \(\frac { 4 }{ 3 } \)

  14. The value of cosec(700 + \(\theta\)) - sec(200 - \(\theta\)) + tan(650 + \(\theta\)) - cot(250 - \(\theta\)) is ________.

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  15. Given that sin \(\alpha\) = \(\frac { 1 }{ 2 } \) and cos \(\beta\) = \(\frac { 1 }{ 2 } \), then the value of \(\alpha\) + \(\beta\) is ________.

    (a)

    00

    (b)

    900

    (c)

    300

    (d)

    600

  16. If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is _______.

    (a)

    3 cm2

    (b)

    6 cm2

    (c)

    9 cm2

    (d)

    12 cm2

  17. If the lateral surface area of a cube is 600 cm2, then the total surface area is _______.

    (a)

    150 cm2

    (b)

    400 cm2

    (c)

    900 cm2

    (d)

    1350 cm2

  18. The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is _______.

    (a)

    75 litres

    (b)

    750 litres

    (c)

    7500 litres

    (d)

    75000 litres

  19. The probability based on the concept of relative frequency theory is called _______.

    (a)

    Empirical probability

    (b)

    Classical probability

    (c)

    Both (1) and (2)

    (d)

    Neither (1) nor (2)

  20. Which of the following cannot be taken as probability of an event?

    (a)

    0

    (b)

    0.5

    (c)

    1

    (d)

    -1

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