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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

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Teaches: Mathematics, IIT JEE Mains

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  1. MATHS TEST - 3 ( AREAS OF PARALLELOGRAM AND TRIANGLES ) Class IX Time 1.5 HRS General Instructions : J) 2) 1. 2. 3. 4. 5. 6. 7. 8. 9. All questions are compulsory. Each question carry EQUAL marks Prove that area of a Rhombus is 1/2 x Product of its diagonals. Prove that area of Trapezium is 1/2 x sum of parallel sides x Height Diagonals AC and BD of a quadrilateral ABCD intersect at O such that 0B = OD. If AB = CD than show that ar (DOC) = ar (AOB). Also prove that DA Il CB. ABCD is a trapezium with AB Il DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar ( ADX) = ar (ACY). Prove that parallelograms on the same base and between the same parallels are equal in area. ABCD is a parallelogram. AE DC and CF AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD. ABCD is a quadrilateral and BE Il AC and also BE meets DC produced at E. Show that area of triangle ADE is equal to the area of the quadrilateral ABCD. P is any point on the side BC of a triangle ABC. D is the mid — point of AB and CQ Il PD. PQ is joined. Show that ar ( BPQ) = h x ar ( ABC ). In any triangle ABC, D and E are two points on BC such that BD = DE = EC. Show that ar ( ADE ) = 1/3 x ( ABC ). 10. Show that the diagonals of a parallelogram divide it into four triangles of equal area.

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