9th Class Mathematics 3rd Quarter Book Paper

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

1. 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 )
2. 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
3. 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
4. ( 5 , 2 ) , ( 7 , 0 ) , ( 1 , - 2 ) and ( -1 , 0 ) are the vertices of a
   1. parallelogram
   2. square
   3. trapezium
   4. kite
5. A regular polygon has exterior angle 15°. Number of sides is:
   1. 20
   2. 21
   3. 24
   4. 25
6. Slope of the line joining (−2, 4) and (1, −3) is:
   1. $-\frac{7}{3}$
   2. $\frac{7}{2}$
   3. $-\frac{3}{7}$
   4. $\frac{1}{7}$
7. 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. $\left(\frac{3}{2},\frac{5}{2}\right)$
8. 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
9. A constant rate of change in a situation is represented graphically by a:
   1. Circle
   2. Straight line
   3. Parabola
   4. Triangle
10. 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
11. A square has perimeter 48 ft. Its side is:
    1. 8 ft
    2. 10 ft
    3. 12 ft
    4. 16 ft
12. The equation 5x − 6 = 0 represents a line parallel to the:
    1. x-axis
    2. y-axis
    3. Line y = x
    4. Origin