Page 1 : REVISION TEST, STANDARD 10, MATHEMATICS, INSTRUCTIONS: 1. Check the question paper for fairness of printing. If there is any lack of, fairness, inform the hall supervisor immediately., 2. Use Blue or Black ink to write and underline and pencil to draw diagrams., Note, , : This question paper contains four parts, PART – A, , Note : (i) Answer all the 14 questions, , 14 X 1 = 14, , (ii) choose the mos suitable answer from the given four alternatives and write the option, code with the corresponding answers., (iii) Each question carries 1 mark., 1. If n(A X B ) = 6 and A = { 1,3} then n(B) is (1) 1 (2) 2 (3) 3 (4) 6, 2. If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8} then state which of the following, statement is true., (1) (A × C) ⊂ (B × D), , (2) (B × D) ⊂ (A × C), , (3) (A × B) ⊂ (A × D), , (4) (D × A) ⊂ (B × A), , 3. If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B, is …………………. (1) 3 (2) 2 (3) 4 (4) 8, 4. Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible, remainders are (1) 0, 1, 8, , (2) 1, 4, 8 (3) 0, 1, 3 (4) 1, 3, 5, , 5. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is, (1) 2025 (2) 5220 (3) 5025 (4) 2520, 6. Given F1 = 1, F2 = 3 and Fn = Fn-1 + Fn-2 then, (1) 3 (2) 5 (3) 8 (4) 11, 7. If 6 times of 6th term of an A.P is equal to 7 times the 7th term, then the 13th term of the A.P. is, (1) 0 (2) 6 (3) 7 (4) 13, 8. Three numbers a, b and c will be in A.P if and only if, (1) b = a + c (2) 2b = a + c (3) a = b / 2 (4) ab = c, 9. A system of three linear equations in three variables is inconsistent if their planes, (1) intersect only at a point (2) intersect in a line, (3) coincides with each other (4) do not intersect., 10. If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation, qx2 +px + r = 0, then q,p, r are in ______., (1) A.P (2) G.P (3) Both A.P and G.P (4) none of these, 11. Graph of a linear polynomial is a ………….., (1) straight line (2) circle (3) parabola (4) hyperbola

Page 2 : 12. If (x – 6) is the HCF of x2 – 2x – 24 and x2 – kx – 6 then the value of k is, (1) 3, (2) 5, (3) 6, (4) 8, 13. The sum of a number and its square is 90. Then two numbers are, (1) 15, 6 (2) 10 , -9 (3) 10 , 9 (4) -10, 9, 14. The solution of (2x – 1)2 = 9 is equal to (1) -1 (2) 2 (3) -1, 2 (4) None of these, PART – B ( Marks 20 ), Answer any TEN questions : ( Question No 28 is compulsory ), Each question carries 2 marks, , 10 X 2 = 20, , 15. Let A= {1,2,3} and B = {× | x is a prime number less than 10}. Find A × B and B × A., 16. If B × A = {(-2, 3),(-2, 4),(0, 3),(0, 4),(3, 3), (3, 4)} find A and B., 17. Let X = {3, 4, 6, 8}. Determine whether the relation R = {(x, f(x))|x ∈ X, f(x) = x2 + 1} is a function, from X to N ?, 18. When the positive integers a, b and c are divided by 13, the respective remainders are 9,7 and 10. Show that a +, b + c is divisible by 13., 19. If 13824 = 2a × 3b then find a and b., 20. If m, n are natural numbers, for what values of m, does 2n × 5m ends in 5?, 21.Find the indicated terms whose n th term is an =, , ; a6 and a13., , 22. Find the 17th term of the A.P. 4, 9, 14, ⋯ ., , 23. Find the LCM of 2x2 - 5x – 3 and 4x2 – 36, 24. Simplify, , +, , 25.Find the quadratic equations whose sum and product are, , ,4, , 26. Solve √2 𝑥 + 7x + 5√2 =0.( using factorization method), 27. If 𝛼 𝑎𝑛𝑑 𝛽 are the roots of the equation of 3𝑥 -6x+4=0, Find the value of 𝛼 + 𝛽 ., 28. Find the square root of 9x2 -24xy +30xz -40yz +25z2 +16y2. ( OR), , If a, b, c are in A.P. then prove that(𝑎 − 𝑐) = 4(𝑏 -ac)., PART – C (Marks 50), Answer any TEN questions (question number 42 is compulsory), Each question carries 2 marks, 29. Let A = {x ∈ W | x < 2},B = {x ∈ N | 1 < 1 < × < 4} and C = {3,5}. Verify, That (A ∪ B) × C = (A × C) ∪ (B × C)., 30. If A= {5, 6}, B = {4, 5 ,6}, C = {5, 6, 7}, Show that A × A = (B × B) ∩ (C × C)., 31. Find the HCF of 396, 504, 636., , 10 X 5 = 50.

Page 3 : 32. If d is the Highest Common Factor of 32 and 60, find x and y satisfying d = 32x + 60y., 33. The sum of three consecutive terms in an A.P. is 6 and their product is –120., Find the three numbers., 34. The ratio of 6th and 8th term of an A.P s 7 : 9.Find the ratio of 9th term and 13th term., 35. Find the three consecutive terms in an A. P. whose sum is 18 and the sum of their squares is 140., 36. Solve 3x – 2y + z = 2; 2x + 3y -z = 5 ; x + y + z = 6, 37. The GCD and LCM of two polynomials are x + 1 and 𝑥 − 1respectively. If one of the polynomials, is 𝑥 +1, find the other., 38. . Simplify, , ÷, , 39. A bus covers a distance of 90 km at a uniform speed. Had the speed been 15 km / h more would, have taken 30 minutes less for the journey. Find the original speed of bus., 40. If one root of the equation 2𝑦 − 𝑎𝑦 + 64 = 0 is twice the other, then find the value of a, 41. If the equation (1 +𝑚 )𝑥 + 2𝑚𝑐𝑥 + 𝑐 − 𝑎 = 0 has equal roots,, then prove that 𝑐 = 𝑎 (1 + 𝑚 )., 42. The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find the 27th term. ( OR ), Find the values of a and b if the following polynomial is perfect squares., 4𝑥 − 12𝑥 + 37𝑥 + 𝑎𝑥 + 𝑏, PART – D (Marks 16), Answer both questions: Each Question carries 8 marks, 43. Draw the graph of x2 – 6x + 9 = 0 and state their nature of solutions. ( OR), , Find the GCD of the following pairs of polynomials using division algorithm., 𝑥 − 3𝑥 + 4𝑥 − 12, 𝑥 + 𝑥 + 4𝑥 + 4𝑥, 44. Draw the graph of y = x2 – 5x – 6 and hence Solve x2 – 5x – 14 = 0 ( OR ), Prove that square of any integer leaves remainder either 0 or 1 when divided b 4., , 2 X 8 = 16