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
(ydŸïe dŸ+K«\T)(dŸsÁÖ|Ÿ çÜuó„TC²\T)
2Sets2 Tangents and secants to a circle
(dŸ$TÔáT\T)(eÔï“¿ì dŸÎ sÁô¹s¿£\T eT]jáTT #óû<Šq ¹sK\T)
3Polynomials3 Mensuration
(‹VŸQ|Ÿ<ŠT\T)(¹¿ŒçÔá$TÜ)
4Pair of Linear