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 |
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