Question

Section -B 3. Attempt all the questions: (2x4=8) a) The sides of a triangle are 5a-3b , 3a+2b and 5b-2a, find its perimeter. b) How many degrees are there in an angle which is one-fifth of its complement? c) Find the value of: 5 -1 - 6 -1 d) Write a pair of integers whose difference is -5. 4. Attempt all the questions: (3x3=9) a) In a competition, the question paper consists of 20 questions. 5 marks are awarded for every correct answer and 2 marks are deducted for every incorrect answer and 0 marks for every questions not attempted. Vishal attempted 17 questions and got 11 correct answers. What is his score? b) Find the perimeter of the rectangle whose length is 40cm and length of one diagonal is 41cm. c) If V is the set of vowels in the word COMPETITION, write the given set in i) description form ii) set builder form iii) roster form 5. Attempt any two: (4x2=8) a i) If 2/3 of a number is 10, then what is 1.75 times of that number. (2) ii)Arrange in ascending order : (2) -5/6 , -17/18 , 23/-24 , -11/-13 b. i) What is the excess of 20.4 over 9.7403? (2) ii)Find the value of x. (2) c. i) How much is 3p - 4q +r less than 4p + 3q - 5r? (2) ii)Evaluate : ( -36 ) ÷ ( (- 14) +2) (2) 6. Attempt any three: (5x3=15) a. i)Simplify: (3) (-4 )x7 – [ 13 – { 49 +40 ÷ (11 – 17-4)}] ii)The product of two rational number is 18/35. If one of them is -2/5, find the other. (2) b. i) A 15m long ladder reaches a window 12m high from the ground on placing it against a wall. How far is the foot of the ladder from the wall? (3) ii) When a=3, b=0, c=-2, find the value of : ab+2bc+3ca+4abc (2) c. i) The area of a rectangular plot is 340m2 and its breadth is 17m. Find the cost of surrounding the plot with a fence at Rs. 5.70 per metre. (3) ii) In a triangle ABC , A = 40o , B= 55o . Find C. (2) d. i) From the sum of 4 + 3x and 5 – 4x + 2x2 , subtract the sum of 3x2 – 5x and –x 2 + 2x + 5. (3) ii) How many ice cream cones can be filled from 8.4 litres of ice cream, if one cone can be filled with 35 millilitres of ice cream? (2)​

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