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P1 ST. FRANCIS SCHOOL (ICSE), MT. POINSUR, BORIVALI (W), MUMBAI st Sub: MATHEMATICS 1 PRELIMINARY EXAMINATION 2020-21 Marks: 80 10 Class: X Time: 2 hrs Date: 11/02/2021 _____________________________________________________________________________________________________ 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 (40 marks) (Answer all questions from this section) Question 1 (a) Mohan has a recurring deposit account in a bank for 2 years at 6% p.a. simple interest. If he gets 1200 as interest at the time of maturity, find: (i) the monthly installment, (ii) the amount at the time of maturity [3] (b) Solve the following equation and give your answer correct to 2 decimal places. 5 x2 3 x 4 = 0 (c) Prove that: (1 + cot A cosec A) (1 + tan A + sec A) = 2 [3] [4] Question 2 (a) In the given figure, P ( 4, 3) divides AB in the ratio 3:2. Find the coordinates of A and B. Y [3] B P (-4, 3) X A O (b) In the given circle, diameter AB chord DC and ABC = 52 . Find BAC and AED. A E [3] D O C 52 B (c) Solve the following inequations and represent the solution set on the number line. 8 x 7 2 (2 x) , x W [4] Question 3 (a) A shopkeeper sells some edible oil for 7,200 at its MP. The shopkeeper pays GST of 120 to the Government. If the GST charged throughout is 5%, calculate the price paid by the shopkeeper for the oil inclusive of tax. [3] 4 cos 60 2 sin 30 2 cos 0 sin 90 (b) Evaluate: 5 6 6 5 [3] (c) In the given figure, AD BC and ABC = 90 = DCA , AB = 12 cm and BC = 16 cm. Find (i) CD and (ii) AD A 12 cm D B P1 Std 10 Mathematics 2020-21 16 cm C Page 1 of 13 [4]
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