10th Class Mathematics Second half Book Paper

Q1. Multiple choice questions (Attempt all · 15 × 1 = 15)

1. CV is given by the formula:
   1. $$\frac{\text{SD}}{\text{range}} \times 100$$
   2. $$\frac{\text{mean}}{\text{SD}} \times 100$$
   3. $$\frac{\text{100}}{\text{mean}} \times SD$$
   4. $$\frac{\text{SD}}{\text{100}} \times \text { mean }$$
2. In right △ABC, a = 2 cm , c = 4 cm, what is α?
   1. 30°
   2. 45°
   3. 60°
   4. 120°
3. Which of the following vectors represents a position vector?
   1. $\overrightarrow{OP}$
   2. $-\overrightarrow{OP}$
   3. $\overrightarrow{PO}$
   4. $\overrightarrow{PQ}$
4. Direct common tangents of equal circles are:
   1. parallel
   2. intersecting
   3. converging
   4. not parallel
5. If a circle is divided into ten equal arcs, then central angle of each arc is …………
   1. 10°
   2. 36°
   3. 60°
   4. 90°
6. Angle subtended by an arc at centre of circle is called ………… angle.
   1. reflex
   2. inscribed
   3. straight
   4. central
7. Which of the following divides the data into two equal parts?
   1. decile
   2. quartile
   3. percentile
   4. median
8. For an equilateral triangle, r : r1 : R =
   1. 1: 2 : 3
   2. 3: 2 : 1
   3. 1: 1 : 2
   4. 1: 3 : 2
9. Given that $\vec{u}$ is any vector. Which of the following is true?
   1. $$\left| -\vec{u} \right| = \left| \vec{u} \right|$$
   2. $$-\left| \vec{u} \right| = \left| \vec{u} \right|$$
   3. $$\left| \vec{u} \right| = \left| -\vec{u} \right|$$
   4. $$| \vec{u}| = 0$$
10. Angle between tangent and radial segment of a circle is:
    1. 30°
    2. 45°
    3. 60°
    4. 90°
11. Corresponding arcs of two congruent chords of a circle are …………
    1. unequal
    2. major
    3. congruent
    4. minor
12. Given that radius of a circle is 4 cm. The distance between two tangents drawn at the outer ends of diameter is:
    1. 2 cm
    2. 4 cm
    3. 6 cm
    4. 8 cm
13. Probability of rolling a standard cubical dice for an even number in 2 attempts is —— than probability of rolling an odd number in 2 attempts.
    1. greater
    2. smaller
    3. equal
    4. no relation
14. If a , a and b are length sides of an isosceles triangle, then S = . . .
    1. $\frac{a}{2} + b$
    2. $a + \frac{a +b}{2}$
    3. $a - \frac{a +b}{2}$
    4. $a + \frac{b}{2}$
15. If $\overrightarrow{OP}$= [-6 , 7] , then $-\overrightarrow{OP}$ is equal to
    1. [-6 , 7]
    2. [6 , 7]
    3. [6 , -7]
    4. [-6 , -7]