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Sample Test Papers ( MATHS )

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Published in: Mathematics
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MATHS, Class IX, CBSE Board

Arun M / Faridabad

4 years of teaching experience

Qualification:

Teaches: Mathematics, IIT JEE Mains

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  1. MATHS TEST - 2 ( QUADRILATERAL & LINEAR EQUATIONS IN TWO VARIABLES ) Class IX Time 1.5 HRS General Instructions : 2) 1. 2. 3. 4. 5. 6. 7. 8. 9. All questions are compulsory. Each question carry EQUAL marks If x + 2y = 4 and x/ y = 2 then find x. Find the point of intersection of the line represented by the equation 7x + y = 2 with X axis. Also check whether ( 2, 1 ) is a point on the graph. ( Without drawing the graph ). The distance between two stations A and B is 100 km. Two cars start from A and B at the same time and go in the same direction. If they meet after five hours, form a linear equation in two variables which shows the difference of distances travelled by two cars. Draw the graph of the equation 2(x+3)-5(Y+1) = 6. Write the quadrant in which the line segment intercepted between the two axis. Represent the equation 2x — 8 = 0 graphically, in ONE variable and TWO variables. Prove that the line drawn through the mid-point of one side of a triangle, parallel to another side , intersects the third side at its mid-point. Prove that the straight line joining the mid — points of the diagonals of a trapezium is parallel to the parallel sides. ABCD is a parallelogram, E and F are the mid points of AB and CD respectively. GH is any line intersecting AD, EF and BC at G, P and H respectively. Prove that GP = PH. In triangle ABC, D is the mid-point of BC and E is the mid-point of AD. BE is produced to meet AC at F. Show that AF = ( 1 / 3 ) AC 10. Prove that if diagonal of a parallelogram bisects one of the angles of the parallelogram, it also bisects the second angle. Also prove that it is a RHOMBUS 11. If x = and y = k is a solution of the equation x 5y + 6 = 0, find the values of k 12. Manoj tells his daughter Sonam ," Seven years ago, I was seven time as old as you were then. Also , three years from now, I shall be three times as old as you will be." If present ages of Sonam and Manoj are x and y years respectively, represent this situation algebraically. 13. In a Triangle ABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram. 14. P is the mid — point of side AB of a Parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R. Prove that (i) AR = 2 BC ( ii ) BR = 2 BQ 15. The diagonals of a rectangle ABCD meet at O. If angle BOC = 440, find the Angle OAD.

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