model test paper

           M.M 90                 Math Test Class X                     Time: 3 Hrs

No	nsyQuestions
	General Instructions:  All questions are compulsory. The question  paper consists of 34 questions Question No’s. from 1 to 8 , 1  mark  each, Question No’s. from 9 to 14 , 2  mark  each, Question No’s. from 15 to 24 , 3  mark  each, Question No’s. from 25 to 34, 4 mark each.
1.	Find the co-ordinate of the centroid of the triangle whose vertices are (2, 3), (-4, 6) and (8, 3).
2.	Find the 19th term of AP: 15, 22, 29….
3.	What is the distance of the point (-5, 3) from the origin.
4.	If PQ and PR are the tangents to a circle with center O and radius 4 from point P then find the perimeter of Quadrilateral PQOR. If PQ=11cm.
5.	If one of the root of the quadratic equation           x²-7x+k=0 is 5. Find the value of k.
6.	Find  the distance of the point (2,-3) from the mid point of the line joining (1,4) and (5,3)
7.	What is the probability of having 53 Sunday in a non leap year.
8.	A circle is inscribed in a triangle with sides 8, 15 and 17cm. Find the radius of the circle.
9.	If the points (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of the parallelogram. Find the value of x and y.
10.	A die is tossed then find the probability of getting (i) a Prime no. (ii) a Multiple of 5.
11.	Find the 20th term from the end of AP:5,12,19………….215
12.	A box containing tickets numbered from 11 to 25 find the probability of getting (i) a prime number (ii) a odd number.
13.	Solve the quadratic equation: 9x² - 16x -4=0
14.	Find the co-ordinate of a point on y-axis that is equidistant from the points (4,-3) and (5, 2).
15	Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that