9th Class Mathematics Full Book Paper

Q1. Multiple choice questions (Attempt all · 48 × 0.75 = 36)

1. Which of the following is measure of central tendency?
   1. variance
   2. standard deviation
   3. range
   4. arithmetic mean
2. If LM = 4 cm, MN = 4.7 cm and ∠M = 120°, the given angle lies between:
   1. LM and MN
   2. LM and LN
   3. MN and LN
   4. None
3. For three sets, the central region of a Venn diagram represents:
   1. A ∪ B ∪ C
   2. A ∩ B ∩ C
   3. A − B
   4. A′
4. If a.b = 1, what is be called?
   1. multiplicative inverse of a
   2. additive identiy
   3. multiplicative identity
   4. self-multiplicative inverse
5. If slopes of two lines are m₁ and m₂, then tan θ is:
   1. (m₂−m₁)/(1+m₁m₂)
   2. (m₁+m₂)/(1−m₁m₂)
   3. m₁m₂
   4. m₂/m₁
6. Mid-point of ( c , d ) and ( - d , c ) is.
   1. $\left(\frac{c-d}{2},\frac{c+d}{2}\right)$
   2. $\left(\frac{-c-d}{2},\frac{d-c}{2}\right)$
   3. $\left(\frac{-d+c}{2},\frac{c-d}{2}\right)$
   4. ( c - d , - d + c )
7. In the figure, AB = 21 cm and P divides AB in the ratio 3 : 4. What is length of $\overline{AP}$ ?
   1. 8 cm
   2. 10 cm
   3. 12 cm
   4. 9 cm
8. log 125 can be written as:
   1. log 5
   2. 2 log 5
   3. 3 log 5
   4. 5 log 3
9. If a tower is 100 m high and tan θ = 1, horizontal distance from tower is:
   1. 50 m
   2. 100 m
   3. 150 m
   4. 200 m
10. Which one is the standard form of linear equation?
    1. $ax^2 + b = 0$
    2. ax + b = -c
    3. ax + b > 0
    4. ax + b = 0
11. x² − 9 can be factorized as:
    1. (x − 3)(x + 3)
    2. (x − 9)(x + 1)
    3. (x − 3)²
    4. (x + 3)²
12. For class interval 31–40, the class mark is:
    1. 35
    2. 35.5
    3. 36
    4. 40.5
13. Which instrument is used to draw an arc of a specified radius?
    1. Protractor
    2. Compass
    3. Set square
    4. Scale only
14. An ordered pair is written as:
    1. {a, b}
    2. (a, b)
    3. [a, b]
    4. a + b
15. Which of the following sets have the closure propetry w.r.t. multiplication?
    1. { -1 , -2 }
    2. { 0 , -1 }
    3. { 0 , 1 }
    4. ${ 1 , \sqrt{2} }$
16. Slope of the line joining (−2, 4) and (1, −3) is:
    1. $-\frac{7}{3}$
    2. $\frac{7}{2}$
    3. $-\frac{3}{7}$
    4. $\frac{1}{7}$
17. ( 5 , 2 ) , ( 7 , 0 ) , ( 1 , - 2 ) and ( -1 , 0 ) are the vertices of a
    1. parallelogram
    2. square
    3. trapezium
    4. kite
18. A regular polygon has exterior angle 15°. Number of sides is:
    1. 20
    2. 21
    3. 24
    4. 25
19. 5 log 2 - 2 log 5 is
    1. $\frac{(\log 2)^5}{(\log 5)^2}$
    2. $\frac{\log 2^5}{\log 5^2}$
    3. $\frac{\log 2^2}{\log 5^5}$
    4. $\frac{5}{2}log\frac{2}{5}$
20. To convert degrees into radians, multiply by:
    1. π/180
    2. 180/π
    3. 60
    4. 360
21. The symbol “>” means:
    1. Less than
    2. Greater than
    3. Equal to
    4. Not equal to only
22. a/b + c/b equals:
    1. (a + c)/b
    2. (a + c)/2b
    3. ac/b
    4. a+c
23. An event which can never happen is called.
    1. sure event
    2. certain event
    3. possible event
    4. impossible event
24. The sum of interior angles of a triangle is:
    1. 90°
    2. 180°
    3. 270°
    4. 360°
25. The Venn diagram is used to represent:
    1. Numbers only
    2. Relations between sets
    3. Equations only
    4. Angles
26. A person walks 3.5 km/h for 12 hours. The total distance is:
    1. 36 km
    2. 40 km
    3. 42 km
    4. 45 km
27. A constant rate of change in a situation is represented graphically by a:
    1. Circle
    2. Straight line
    3. Parabola
    4. Triangle
28. The mid point of the hypotenuse of a right triangle with vertices ( 4 , 0 ) , ( 2 , 1 ) and ( - 1 , - 5 ) is.
    1. $\left(2,\frac{1}{2}\right)$
    2. $\left(\frac{1}{2},-2\right)$
    3. $\left(\frac{3}{2},-\frac{5}{2}\right)$
    4. $\left(\frac{3}{2},\frac{5}{2}\right)$
29. For similar figures, ratio of their areas is equal to:
    1. Ratio of corresponding sides
    2. Square of ratio of corresponding sides
    3. Cube of ratio of sides
    4. Sum of sides
30. Logarithmic methods are especially useful when numbers are:
    1. Very small or very large
    2. Equal to zero only
    3. Negative only
    4. Whole numbers only
31. Bearing of South is:
    1. 090°
    2. 180°
    3. 270°
    4. 360°
32. Solve: 2 < x < 6
    1. x < 2 or x > 6
    2. 2 < x < 6
    3. x ≤ 2
    4. x ≥ 6
33. √(x²) is:
    1. x only
    2. ±x
    3. x²
    4. 2x
34. A wheel has 8 equal sectors. Probability of stopping at one specified sector is:
    1. '1/4
    2. '1/6
    3. '1/8
    4. '1/10
35. If two given sides are 5.7 cm and 7.5 cm and the angle 105° is opposite the 7.5 cm side, the construction involves:
    1. An oblique triangle case
    2. Only an equilateral triangle
    3. A square
    4. A circle only
36. If 52 people speak Arabic and 112 speak French, those who speak both are represented by:
    1. A ∪ F
    2. A ∩ F
    3. A − F
    4. F′
37. $\sqrt[m]{\sqrt[n]{a}} = \ldots\ldots$
    1. $\sqrt[mn]{a}$
    2. $\sqrt[m+n]{a}$
    3. $\sqrt[m-n]{a}$
    4. $\sqrt[n]{\sqrt[m]{a}}$
38. The equation 5x − 6 = 0 represents a line parallel to the:
    1. x-axis
    2. y-axis
    3. Line y = x
    4. Origin
39. If AB + BC = AC, then points A, B and C are:
    1. Non-collinear
    2. Collinear with B between A and C
    3. Vertices of a square
    4. Vertices of a circle
40. A square has perimeter 48 ft. Its side is:
    1. 8 ft
    2. 10 ft
    3. 12 ft
    4. 16 ft
41. Scientific notation of 6.25 is:
    1. 6.25 × 10⁰
    2. 0.625 × 10¹
    3. 62.5 × 10⁻¹
    4. All represent same value, but standard form is A
42. A bearing of 050° means:
    1. 50° clockwise from north
    2. 50° clockwise from south
    3. 50° anticlockwise from east
    4. 50° clockwise from west
43. Which one is the solution of $2(x + 6) \leq 3 (x + 4)$?
    1. $x \leq 0$
    2. $x \geq 0$
    3. $x \leq 24$
    4. $x \geq 24$
44. The HCF–LCM relation is useful for finding:
    1. An unknown polynomial
    2. Angles only
    3. Logarithms only
    4. Coordinates only
45. If a coin is tossed 10 times and head occurs 6 times, relative frequency of head is:
    1. 0.4
    2. 0.5
    3. 0.6
    4. 0.8
46. The three altitudes of a triangle meet at the:
    1. Incentre
    2. Centroid
    3. Orthocentre
    4. Midpoint
47. The set containing all elements of A and B is called:
    1. Intersection
    2. Union
    3. Difference
    4. Complement
48. The expression $a^{1/2}$ is equivalent to:
    1. a²
    2. √a
    3. 1/a
    4. 2a