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: St. Xavier's School, agp6 Akbarpur Ambedkar Nagar, PLAS Unit Test, , Class- 8"", Subject: - Mathematics, , M.M.40 TIME:- 2hrs, *All questions are compulsory., , *Question paper consists of two section A and B., * Each section comprises questions of 2 marks each., , Section A, , 1. Define:, a) cyclic quadrilateral, b) Arithmetic mean, ¢) Secant of a circle, d) Coordinates of a cartesian plane, , 2. Anujbuys rupees 25 share of a company which pays 20% dividend. The market price is such that he gets, 25% of his salary. At what price did he buy it?, , 3. 100 rupees share of company is quoted at rupees 899 in the market. How much does Sanjay pay to, purchase 500 such shares is the brokerage paid by him is 1%? What is his gain percent on this investment,, if the company pays a dividend of 25%?, , 4. How much money will Manisha get by selling 12% debentures worth rupees 8000 at the rate of rupees, 110 per debenture? The face value of debenture is rupees hundred and the brokerage is 1%., , 5. Drawa line L and construct M parallel to L. Explain the property of parallel lines used in the construction., , 6. If two interior angles on the same side of a transversal which cuts two parallel lines are(3x-4)° and (5x-8)°,, find the value of x., , 7. Draw a line parallel to a given line at a distance of 3.5 cm from it., , in B, , , , 8. Prove that the perpendicular drawn from the centre to the chord bisects the chord., , 9. Deduce theorem for equal chords of a circle are equidistant from the centre., , 10. A field is 3 hectometre long and 2 hectometre broad. How much time will a man take to walk around it at, a speed of 3 km per hour?, , 11. The cost of carpeting a room at 25 paisa per square dm is rupees 120. Had the room been 3dm less in, length, the cost would have been only rupees 105. Find the length and breadth of the room., , 12. Write down hero's formula., , 13. Write down the formula for the distance between two points of a cartesian plane., , 14. Define frequency and observation., , 15. A point lies on y axis at a distance of 9 units from the x axis and line above axis. Write down the, coordinates of the point., , 16. Show that the points P (0,0) , Q (8,2) and R (5,-3) are the vertices of an isosceles triangle., , 17. The mean of 6 numbers is 35, if each number is divided by 4 , what is the new mean?