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MATHEMATICS
SSLC
2011 to 2017
CHAPTERWISE & TOPICWISE
TAMIL NADU
Solved Papers
Strictly as per the Latest Blueprint & Design for
SSLC Exam
For Samacheer Kalvi(Tamil Nadu Uniform System of School Education)
CLASS
10
With Topper’s Answers of 2016 Exam
TO BUY THESE BOOKS VISIT
2005
© PublisherOswaal Books
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OUR DISTRIBUTORS
( 4 )
PREFACEMalcolm Forbes said “Education's purpose is to replace an empty mind with an open one” and
this is something which is always followed by Tamil Nadu Board in their Samacheer Kalvi system of
education. The aim of Samacheer Kalvi Curriculum is not just to let learners obtain basic knowledge
but to make them life-long learners.
The purpose of this book is to nurture individuality and thus enhance one's innate potentials
which help in increasing the self-study mode for students. This book strengthens knowledge and
attitude related to subject. This book is designed in such a way that students can set their own goals and
can improve their problem solving and thinking skills.
This book is strictly as per the latest Samacheer Kalvi Blueprint & Design for SSLC Exams. It
contains variety of questions from latest textbooks. It contains all types of questions like VSA Questions
(Very Short Answer), SA Questions (Short Answer), MCQs (Multiple Choice Questions) and LA
Questions (Long Answer). A synopsis is given for every chapter which contains important points from
that chapter. Each chapter has high quality figures wherever required for better, fast and clear
understanding.
OSWAAL SSLC Question Bank is different and better in terms of High Quality Questions which
are developed by 'OSWAAL Expert Panel'. The Question Bank is arranged ‘TOPIC-WISE’ where each
Topic from every Chapter is explained in detail. ‘KEYWORDS’ are highlighted to develop student
understanding of marking scheme.
Through OSWAAL Books students are taught how to think, not what to think. We at OSWAAL
Books try to use quality content, standard language, creativity and high quality figures, which makes
readers to enjoy it because we believe if our readers don't enjoy reading our book then there is no use in
reading it at all. This is one of the reasons that the scope of this book extends from students to teachers.
Teachers can use this book as a perfect teaching guide and students can use this book for good
learning and practice.
At last we would like to thank our authors, editors, reviewers and specially students whom we
request to send suggestions regularly which will help in continuous improvement of this book and will
make this book “One of the Best”. Wish you all Happy Learning.
–Publisher
1. Chapter-wise and Topic –wise resentation
in Question Banks facilitates systematic
study.
2. Question Banks can be referred to by the
students throughout the year as well as at
the completion of each chapter in school.
3. Question Banks, take into account any
changes in syllabus or layout and hence are
fully updated and aligned as per the latest
specifications by the Board.
Question Bank Previous Years' Paper
1. Year Wise presentation restricts meth-
odical flow of learning.
2. These can be referred to only after the
completion of the full syllabus in school.
3. Previous Years' questions cannot be
changed and hence fail to be adept with
the latest Board specifications
Why Topic Wise Question Banks Are A Better Choice than Previous Year’s Papers ?
( 5 )
DESIGN OF QUESTION PAPER
Subject : Mathematics Time : 2.30 Hrs.
Class : X Max marks : 100
Weightage of marks to Learning Objectives
Objectives Percentage
Knowledge 19
Understanding 31
Application 23
Skill 27
Total 100
Weightage to the Types of Questions
Difficulty Level
Level Percentage of Marks
Difficult 12
Average 28
Easy 60
Types Section-A Section-B Section-C Section-D
of Very Short Short Long Very Long Total
Questions Answer Answer Answer Answer
(Objective)
Number of 15 10 9 2 36
Questions
Marks 15 20 45 20 100
Time20 35 65 30 2.30 Hrs
(in minutes)
( 6 )
... CONTD.
Sections and Options
Sections Question numbers Number of Question to
From to Questions be answered
A 1 15 15 15
16
30th Question is B 16 30 10
compulsory and is in ‘either’ ‘or’ type
16
45th Question is C 31 45 9 compulsory and is
in ‘either’ ‘or’ type
2 46 This Question is 1 in ‘either’ ‘or’ type
D 2 47 This Question is 1
in ‘either’ ‘or’ type
Weightage to Content
Number of Questions Chapter Total Chapter
1 mark 2 marks 5 marks 10 marks Marks No.
1 Sets and Functions 1 2 2 15
2 Sequences and series 2 1 2 14
of Real Numbers
3 Algebra 2 2 3 21
4 Matrices 1 2 1 10
5 Coordinate Geometry 2 2 2 16
6 Geometry 2 1 1 9
7 Trigonometry 2 2 1 11
8 Mensuration 1 2 2 15
9 Practical Geometry 2 20
10 Graphs 2 20
11 Statistics 1 1 1 8
12 Probability 1 1 1 8
Total 15 16 16 4 167
( 7 )
... CONTD.
Section - A1. All the 15 questions numbered 1 to 15 are multiple choice questions each with 4 distractors and all are compulsory. Each question carries one mark.2. Out of 15 questions, 10 questions are from the multiple choice questions given in the Text Book. The remaining 5 questions should be framed from the five different chapters 2, 3, 5, 6 and 7 on the basis of the Text Book theorems, results, examples and exercises.
Section - B1. 10 questions are to be answered from the questions numbered 16 to 30. Each question carries two marks.2. Answer any 9 questions from the first 14 questions. Question no. 30 is compulsory and is in ‘either’ or ‘type’.3. The order of the first 14 questions should be in the order of the chapters in the Text Book.4. Out of first 14 questions, 6 questions are from the examples and 8 questions are from the exercises.5. The two questions under question no. 30 should be framed based on the examples and problems given in the exercises from any two different chapters of 2, 3, 5 and 8.
Section - C1. 9 questions are to be answered from the questions numbered 31 to 45. Each question carries five marks.2. Answer any 8 questions from the first 14 questions. Question no. 45 is compulsory and is in ‘either’ or ‘type’.3. The order of the first 14 questions should be in the order of the chapters in the Text Book.4. Out of first 14 questions, 6 questions are from the examples and 8 questions are from the exercises.5. The two questions under question no. 45 should be framed based on the examples and problems given in the exercises from any two different chapters of 2, 3, 5 and 8.6. Questions numbered 30(a), 30(b), 45(a) and 45(b) should be framed based on the examples and problems given in the exercises from the chapters 2, 3, 5 and 8 subject to the condition that all of them should be from different chapters.
Section - D1. This section contains two questions numbered 46 and 47, one from the chapter 9 and the other from the chapter 10, each with two alternatives (‘either’or ‘type’) from the same chapter. Each question carries ten marks.2. Answer both the questions.3. One of the questions 46(a), 47(a), 46(b) and 47(b) should be from the examples given in the text book. The remaining three questions should be from the exercises.
Distribution of marks and Questions towards Examples, Exercises and Framed questions
Sec A Sec B Sec C Sec D Total Percentage (1 mark) (2 marks) (5 marks) (10 marks) marks
From the Examples..... 6 (2) 6 (5) 1 (10) 52 31 given in the Text Book
From the Exercises10 (1) 8 (2) 8 (5) 3 (10) 96 58 given in the Text Book
Framed Question from 5 (1) 2 (2) 2 (5) ..... 19 11 specified chapters
Total 15 (1) 16 (2) 16 (5) 4 (10) 167 100
Number in brackets indicate the marks for each question.•
( 8 )
BLUE PRINTM
ath
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– C
lass
10
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Un
der
stan
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Ap
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on
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SA
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A
LA
V
LA
V
SA
S
A
LA
V
LA
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SA
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LA
V
LA
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SA
S
A
LA
V
LA
m
ark
s
Set
s an
d F
un
ctio
ns
1(1)
2(
1)
5(1)
2(
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5(1)
15
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1(
1)
1(
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equ
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s an
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Alg
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2(
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5(1)
1(1)
1(1)
2(
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5(1)
5(1)
21
Mat
rice
s
4(
2)
5(1)
1(1)
10
Co
ord
inat
e
2(1)
1(
1)
2(1)
5(
1)
1(
1)
5(
1)
16
Geo
met
ry
Geo
met
ry
1(1)
2(
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5(1)
1(1)
9
Tri
go
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ry
1(1)
2(
1)
5(1)
1(1)
2(
1)
11
Men
sura
tio
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1(1)
2(
1)
5(1)
2(
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5(1)
15
Pra
ctic
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eom
etry
10(2
) 20
Gra
ph
s
10(2
) 20
Sta
tist
ics
5(1)
2(
1)
1(1)
8
Pro
bab
ilit
y
2(
1)
5(1)
1(1)
8
To
tal
2(2)
10
(5)
20(4
)
5(5)
16
(8)
30(6
)
8(8)
6(
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40
(4)
167
Nu
mb
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rak
ets
ind
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e th
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um
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of
qu
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on
s.•
Oth
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s in
dic
ate
the
mar
ks.
•
SOLVEDPAPER
SSLC Tamilnadu ExamMarch 2017
Class - XMathematics
Time : 2½ Hours Max. Marks : 100
Instruction :
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 sections.
SECTION - I
Note :— (i) Answer all the 15 questions. 15 × 1 = 15
(ii) Choose the correct answer from the given four alternatives and write the option code and the corresponding answer.
1. If f (x) = x2 + 5, then f (– 4) =
(a) 26 (b) 21
(c) 20 (d) – 20
2. If k + 2, 4k – 6, 3k – 2 are the three consecutive terms of an A.P., then the value of k is :
(a) 2 (b) 3
(c) 4 (d) 5
3. If the product of the first four consecutive terms of a G.P. is 256 and if the common ratio is 4 and the first term is positive, then its 3rd term is :
(a) 8 (b) 1
16
(c) 1
32 (d) 16
4. The remainder when x2 – 2x + 7 is divided by x + 4 is :
(a) 28 (b) 29
(c) 30 (d) 31
5. The common root of the equations x2 – bx + c = 0 and x2 + bx – a = 0 is :
(a) c ab
+2
(b) c ab
−2
(c) c ba
+2
(d) a bc
+2
10 | OSWAAL Tamil Nadu SSLC Question Bank for Samacheer Kalvi Mathematics, Class X
6. If A = 7 21 3
and A + B =
−−
1 02 4
, then the matrix B =
(a) 1 00 1
(b)
6 23 1−
(c) − −
−
8 21 7
(d)
8 21 7−
7. Slope of the straight line which is perpendicular to the straight line joining the points (– 2, 6) and (4, 8) is equal to :
(a) 13
(b) 3
(c) – 3
(d) − 13
8. If the points (2, 5), (4, 6) and (a, a) are collinear, then the value of 'a' is equal to :
(a) – 8 (b) 4
(c) – 4 (d) 8
9. The perimeters of two similar triangles are 24 cm and 18 cm respectively. If one side of the first triangle is 8 cm, then the corresponding side of other triangle is :
(a) 4 cm (b) 3 cm
(c) 9 cm (d) 6 cm
10. ∆ ABC is a right angled triangle where ∠ B = 90° and BD ⊥ AC. If BD = 8 cm, AD = 4 cm, then CD is :
(a) 24 cm (b) 16 cm
(c) 32 cm (d) 8 cm
11. In the adjoining figure ∠ ABC =
100 mA B
C
100
3
(a) 45° (b) 30°
(c) 60° (d) 50°
12. 9 tan2 θ – 9 sec2 θ =
(a) 1 (b) 0
(c) 9 (d) – 9
13. If the surface area of a sphere is 100 p cm2, then its radius is equal to :
(a) 25 cm (b) 100 cm
(c) 5 cm (d) 10 cm
SOLVED PAPER-2017 | 11
14. Standard deviation of a collection of a data is 2 2 . If each value is multiplied by 3, then the standard deviation
of the new data is :
(a) 12 (b) 4 2
(c) 6 2 (d) 9 2
15. A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is :
(a) 2
13 (b)
1113
(c)
413
(d)
813
SECTION - II
Note :— (i) Answer 10 questions. 15 × 1 = 15
(ii) Question number 30 is compulsory. Select any 9 questions from the first 14 questions.
16. Given, A = {1, 2, 3, 4, 5}, B = {3, 4, 5, 6} and C = {5, 6, 7, 8}, show that A ∪ (B ∪ C) = (A ∪ B) ∪ C.
17. The following table represents a function from A = {5, 6, 8, 10} to B = {19, 15, 9, 11} where f (x) = 2x – 1. Find the values of a and b.
x 5 6 8 10
f (x) a 11 b 19
18. If – 27
, m, – 72
(m + 2) are in G.P., find the values of m.
19. Solve by elimination method : 13x + 11y = 70, 11x + 13y = 74.
20. Simplify : 6 93 12
2
2x xx x
+−
21. Construct a 2 × 2 matrix A = [aij] whose elements are given by aij = 2i – j.
22. Let A = 3 25 1
and B =
8 14 3
−
. Find the matrix C, if C = 2A + B.
23. Find the coordinates of the point which divides the line segment joining (– 3, 5) and (4, – 9) in the ratio 1 : 6 internally.
24. "The points (0, a) a > 0 lie on x-axis for all a". Justify the truthness of the statement.
25. In ∆PQR, AB||QR. If AB is 3 cm, PB is 2 cm and PR is 6 cm, then find the length of QR.
26. The angle of elevation of the top of a tower as seen by an observer is 30°. The observer is at a distance of 30 3 m from the tower. If the eye level of the observer is 1.5 m above the ground level, then find the height
of the tower.
27. The total surface area of a solid right circular cylinder is 1540 cm2. If the height is four times the radius of the base, then find the height of the cylinder.
28. The smallest value of a collection of data is 12 and the range is 59. Find the largest value of the collection of data.
29. In tossing a fair coin twice, find the probability of getting :
(i) Two heads (ii) Exactly one tail
12 | OSWAAL Tamil Nadu SSLC Question Bank for Samacheer Kalvi Mathematics, Class X
30. (a) If the volume of a solid sphere is 724117
cu. cm, then find its radius. Take π =
227
OR
(b) If x = a sec θ + b tan θ and y = a tan θ + b sec θ, then prove that x2 – y2 = a2 – b2.
SECTION - III
Note :— (i) Answer 9 questions. 9 × 5 = 45
(ii) Question number 45 is compulsory. Select and 8 questions from the 14 questions.
31. Let A = {a, b, c, d, e f, g, x, y, z}, B = {1, 2, c, d, e} and C = {d, e, f, g, 2, y}. Verify A\ (B ∪ C) = (A \ B) ∩ (A \ C).
32. Let A = {6, 9, 15, 18, 21}; B = {1, 2, 4, 5, 6} and f : A → B be defined by f (x) = x − 3
3.
Represent f by :
(i) an arrow diagram
(ii) a set of ordered pairs
(iii) a table
(iv) a graph
33. Find the sum of the first 2n terms of the series 12 – 22 + 32 – 42 + .....
34. Find the sum of first n terms of the series 7 + 77 + 777 + .....
35. The speed of a boat in still water is 15 km / hr. It goes 30 km upstream and return downstream to the original point in 4 hrs. 30 minutes. Find the speed of the stream.
36. Find the values of a and b if 16x4 – 24x3 + (a – 1)x2 + (b + 1) x = 49 is a perfect square.
37. If A = 5 27 3
and B =
2 11 1
−−
verify that (AB)T = BT AT.
38. Find the area of the quadrilateral formed by the points (– 4, – 2), (– 3, – 5), (3, – 2) and (2, 3).
39. State and prove Pythagoras theorem.
40. A flag post stands on the top of a building. From a point on the ground, the angles of elevation of the top and bottom of the flag post are 60° and 45° respectively. If the height of the flag post is 10 m, find the height of the building. ( 3 = 1.732).
41. The perimeter of the ends of a frustum of a cone are 44 cm and 8.4 p cm. If the depth is 14 cm, then find its volume.
42. The length, breadth and height of a solid metallic cuboid are 44 cm, 21 cm and 12 cm respectively. It is melted and a solid cone is made out of it. If the height of the cone is 24 cm, then find the diameter of its base.
43. Find the coefficient of variation of the following data.
18, 20, 15, 12, 25.
44. If a die is rolled twice, find the probability of getting an even number in the first time or a total of 8.
45. (a) Find the GCD of the following polynomials 3x4 + 6x3 – 12x2 – 24x and 4x4 + 14x3 + 8x2 – 8x.
OR
(b) A straight line cuts the coordinate axes at A and B. If the mid point of AB is (3, 2), then find the equation of AB.
SOLVED PAPER-2017 | 13
SECTION - IV
Note :— Answer both the question choosing either of the alternative. 2 × 10 = 20
46. (a) Draw the two tangents from a point which is 10 cm away from the centre of a circle of radius 6 cm. Also measure the lengths of the tangents.
OR
(b) Construct a cyclic quadrilateral ABCD, given AB = 6 cm, ∠ ABC = 70°, BC = 5 cm and ∠ ACD = 30°.
47. (a) Solve graphically 2x2 + x – 6 = 0.
OR
(b) Draw the graph of xy = 20, x, y > 0. Use the graph to find y when x = 5, and to find x when y = 10.
14 | OSWAAL Tamil Nadu SSLC Question Bank for Samacheer Kalvi Mathematics, Class X
SolutionsSECTION - I
1. (b) 21
Detailed Answer :
Given f (x) = x2 + 5
⇒ f (– 4) = (– 4)2 + 5
= 16 + 5
= 21
2. (b) 3
Detailed Answer :
Given k + 2, 4k – 6, 3k – 2 are three consecutive terms of an A.P.
⇒ k + 2 + 3k – 2 = 2 (4k – 6)
⇒ 4k = 8k – 12
⇒ 4k = 12
⇒ k = 3
3. (a) 8
Detailed Answer :
Let the terms of G.P. be a, ar, ar2, ar3
Given that r = 4
∴ terms are a, 4a, 16a, 64a
According to question,
a × 4a × 16a × 64a = 256
⇒ a4 = 256
4 16 64× × =
116
⇒ a = 12
∴ The third term ar2 = 12
× 4 × 4 = 8
4. (d) 31
Detailed Answer :
Putting x + 4 = 0
⇒ x = – 4
f (x) = x2 – 2x + 7
∴ f (– 4) = (– 4)2 – 2 (– 4) + 7
= 16 + 8 + 7
= 31
Oswaal Tamil Nadu SSLC QuestionBank Samacheer Kalvi Class 10th
Mathematics
Publisher : Oswaal Books ISBN : 9788184819243 Author : Panel Of Experts
Type the URL : http://www.kopykitab.com/product/11398
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