# 10th class Maths Model Paper

39 Pages · 2014 · 349 KB · English

Mathematics - Unit Test. (Real numbers, sets, Pohynomials). Class: X. Max Marks: 25. Time: 45 min. Instructions: • The question paper consists of three sections. • All questions are compulsory. Section - I. 7 × 1 = 7 marks. Note: 1. Answer all the questions. Each question carries 1 mark. 2. Ch

1 Mathematics Unit Test Moder Paper Weightage Tables Table : 1Weightage to Academic Standards S NoAcademic StandardsWeightage %Marks 1Problem Solving4010 2Reasoning & Proof205 3Communication123 4Connnections164 5Representation & Visualisation123 Total100%25 Table : 2Weightage to Content S NoChapterWeightage %Marks 1Real numbers48%12 2Sets20%5 3Polynomials32%8 100%25 Table : 3Weightage to difficulty level S NoDifficulty levelWeightage %Marks 1Easy24%06 2Average52%13 3Difficulty24%06 100%25 Table : 4Weightage to type of questions S NoType of QuestionsWeightage %No of Questions Marks 1Objective28%0707 2Short Answer40%0510 3Essay32%0208 100%1425 2Blue Print Unit: Containing Chapters Real Numbers, Sets & Polynominals Academic Standards Problem Solving Reasoning & Proof Communication Connection Representation S No Content Obj SA E Total Obj SA E Total Obj SA E Total Obj SA E Total Obj SA E Total Total 1 Real Numbers (1) 1 (1) 2 03 (1) 4 04 (1) 1 01 (1) 1 (1) 2 03 (1) 1 01 12 2 Sets (1) 2 02 (1) 1 01 (1) 2 02 05 3 Polynominals (1) 1 (1) 4 05 (1) 1 01 (1) 2 02 08 (2) 1 (2) 2(1) 4 10 (1) 1 (1) 4 05 (1) 1 (1) 2 03 (2) 1 (1) 2 04 (1) 1(1) 2 03 25 3 Mathematics Unit Test (Real numbers, sets, Pohynomials) Class: X Max Marks: 25 Time: 45 min Instructions: ·The question paper consists of three sections ·All questions are compulsory Section I 7 ´ 1 = 7 marks Note: 1 Answer all the questions Each question carries 1 mark 2 Choose the correct anwer from the four alternatives given for each ques tion and write capital letters A, B, C or D in the brackets 1 The prime factorisation form of 156() A) 2 ´ 3´ 13B) 22 ´ 32 ´ 13C) 22 ´ 3 ´ 13D) 2 ´ 32 ´ 13 2 The logarithemic form of 8x = 2() A) log x 8 = 2B) log 8 2 = xC) log x 2 = 8D) log 2 x = 8 3 The qp form of the decimal 0875() A) 327 B) 167 C) 83 D) 227 4 Which of the following integers does 43 lies between() A) 0 and 1B) 1 and 2C) 3 and 4D) 1 and 1 5 A = {x / x is a boy} B = {x / x is a girl} them() A) f=ÈB AB) q¹ÇB AC) A B = AD) A B = f6 The zero of the polynomial 2x3() A) 32 B) 23 C) 32D) 237 one of the following algebraic expression is not a polynomial() A) 2 2xB) 5 2+ xC) xx1 + D) 5 2x 4 Section II 5 ´ 2 = 10 marks Note: 1 Answer all the questions 2 Each question carries 2 marks 8 Write the following rationals as decimals without actual division i) 2513 ii) 110143 9 Expand log 2 3 y x 10 If A = {1, 2, 3}, B = {2, 3, 4, 5} find BAÈ and BAÇ11 Write the following sets in roster form (i) A = The set of natural numbers less than 7 (ii) B = {x : x is a letter in the word ‘School’} 12 Draw the graph of P(x) = x2 and find where it interesects Xaxis Section III 2 ´ 4 = 8 marks Note: 1 Answer all the questions, choosing one from each question 2 Each question carries 4 marks 13 Prove that 2 is irrational by the method of contradiction (or) Prove that 5 2 3 is irrational 14 Find the zeros of the quadratic polynomial x2 +5x+6 and verify the relationship between the zeroes and coefficients Divide 3x3 + x2 + 2x+5 by 3x1 and verify the result with division algorithm 5 X class Mathematics (201415) Unit wise Division of Syllabus Unit I: 1Real numbers 2Sets 3Polynomial Unit II: 1Similar Triangles 2Linear Equations in 2 variables Unit III: 1Progressions 2Tangents and secants to a circle Unit IV: 1Application of Trigonometry 2Probatrility 6 X class Mathematics (201415) Chapter wise Division of Syllabus Under Paper I and Paper II Paper IPaper II 1 Real numbers1 Similar Triangles (ydŸïe dŸ+K«\T)(dŸsÁÖ|Ÿ çÜuó„TC²\T) 2Sets2 Tangents and secants to a circle (dŸ\$TÔáT\T)(eÔï“¿ì dŸÎ sÁô¹s¿£\T eT]jáTT #óû<Šq ¹sK\T) 3Polynomials3 Mensuration (‹VŸQ|Ÿ<ŠT\T)(¹¿ŒçÔá\$TÜ) 4Pair of Linear

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