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ICSE Class X Prelims 2020 : Mathematics (St. Francis School, South Sikkim)

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1. Mr. Nadeem saves 80 every month and deposits in a recurring deposit account paying 8% simple interest per annum in order to receive a total amount of 5776. How many instalments need to be deposited? 2. If 2x 3 cx 2 dx 15 has 2 x 3 as factor and leaves a remainder 5 when divided by x 1 , find the value of c and d. 3. Abhay invests 6000 in 8% 10 shares at 15. He sells the shares when the price rises to 50 and invests the proceeds in 12% 100 shares at 125. Calculate: i. The sale proceeds ii. The number of 125 shares he buys iii. The change in annual income from his dividend 4. Solve for x and give your answer correct to two significant figures: x 2 5 x 10 0 5. Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. Find the probability that the number on the card is: i. Number less than 14 ii. Number which is a perfect square iii. Prime number less than 20 iv. Number divisible by 5 and 10 6. Simplify: 2 sin 30 cos ec30 cos ec90 tan 45 cos 0 cos 60 2 3 1 0 7. Given A and A2=9A+mI. Find m. ;I 0 5 0 1 8. Find the value of X, for the given AP if 1 4 7 ......... x 247 9. The sum of first 3 terms of a GP is 49 and their product 15 is 1. Find the common ratio and the first three terms. 10. A person bought a certain number of pens for 800. If he had bought 4 pens more for the same money, he would have paid 10 less for each pen. How many pens did he buy? 11. Draw an Ogive for the data below and from it, determine: Monthly income Number of workers 6000 7000 40 7000 8000 68 8000 9000 86 9000 10000 120 10000 11000 90 11000 12000 40 12000 13000 26 i. Median ii. The number of employees whose income exceeds 11800. 12. Solve the given inequation and graph the solution on the number line. 1 x 1 5 - 2 1 ; x I 6 3 6 6 13. The 4th term of a GP is 16 and the 7th term is 128. Find the first term and common ratio of the series.

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