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KAPOL VIDYANIDHI INTERNATIONAL SCHOOL(ICSE) TEMPLE OF KNOWLEDGE STD IX 5.03.21 THIRD TERMINAL EXAMINATION SUBJECT : MATHEMATICS DUR:2hrs 30mins MARKS:80 Answer to this paper must be written on the paper provided separately. You will not be allowed to write during first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this paper is the time allowed for writing the answers. Attempt all questions from Section A and any four questions from Section B. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in the loss of marks. The intended marks for questions or parts of questions are given in brackets [ ]. Section A (Answer all questions) (40 MARKS) Q 1. a. Rationalise the denominator of 7 - 5 7 + 5 [3] b. If a + b = 10, ab = 21, find the value of 3 ( 2 + 2 ) c. Q2 a. [3] 5000 amounts to 5600 in 1 year compounded annually. Find the rate of interest per annum . Find the compound interest for the year . [4] Factorise the given expression: 3x2 8x + 4 [3] b.S Solve the following pair of equations: [3] 3 3x 5y = - 1 , 2x = y - 3 c. Q3 a. Solve for x and y if 3 x -y = 27 , 3 x+ y = 243 [4] In a circle of radius 10 cm , a chord AB is of length 12cm . Find the perpendicular distance of the chord from the centre . [3] b. Find the value of if ( tan - 1 ) ( cosec 3 - 1) = 0 [3] c. Find the area of a ring shaped region enclosed between two concentric circles of radii 20cm and 15 cm . [4] Page 1 of 5
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