## Book description

The Springboard Series containing titles on Science (Physics/Chemistry/Biology) and Mathematics both for class 9th and 10th, are thoughtfully designed to tread seamlessly along with the flow of the NCERT curriculum. This foundation series prepares students to gear up for the Board exams and various talent search examinations like NTSE, Olympiads, KVPY, etc. Comprising of 15 chapters on Mathematics, this series caters to students of classes IX. The core objective of the series is to help aspiring students understand the basic concepts with more clarity, in turn, developing a problem-solving approach. It also encourages students to attempt various competitive examinations from an early age.

1. the concepts are explained in a well structured and lucid manner, using simple language and ample number of examples
2. Each chapter has a good number of sample questions along with a separate section on Solved Problems at the end of each chapter
3. Different levels of questions have been included in the Practice Exercises Sections
4. a complete section on Competitive Examinations: Competition Corner which will help students to check their examination readiness
5. Previous year CBSE papers and NTSE papers are also included

Book Contents –

1) Real Numbers
2) Polynomials
3) Pair of Linear Equations in Two Variables
5) Arithmetic Progression
6) Triangles
7) Coordinate Geometry
8) Introduction to Trigonometry
9) Some Applications of Trigonometry
10) Circles
11) Constructions
12) Areas Related to Circles
13) Surface Areas and Volumes
14) Statistics
15) Probability

1. Cover
2. Title
4. Contents (1/2)
5. Contents (2/2)
7. Chapter Insight
8. Chapter 1 Real Numbers
1. 1.1 Introduction
2. 1.2 Algorithm
3. 1.3 Euclid’s Division Lemma
4. 1.4 The Fundamental Theorem Arithmetic
5. 1.5 Rational and Irrational number
6. 1.6 Decimal Expansion of Rational Numbers (1/2)
7. 1.6 Decimal Expansion of Rational Numbers (2/2)
9. Chapter 2 Polynomial
1. 2.1 Introduction
2. 2.2 Degree of a Polynomial
3. 2.3 Geometric Meaning of Zeros of A Polynomial
4. 2.4 Relationship between the Zeroes and Coefficient of a Polynomial
5. 2.5 Relationship between Zeroes and Coefficients of a Cubic Polynomial
6. 2.6 Division Algorithm for Polynomials
10. Chapter 3 Pair of Linear Equations in Two Variables
1. 3.1 Introduction
2. 3.2 Graphical Representation of Linear Equations
3. 3.3 Graphical Method of Solving Simultaneous Linear Equations
4. 3.4 Algebraic Methods of Solving Simultaneous Linear Equations in Two Variables
5. 3.5 Method of Elimination by Equating the Coefficients Elimination Method
6. 3.5.2 Cross Multiplication Method
7. 3.6 Equations Reducible to a Linear Pair in Two Variables
12. Chapter 5 Arithmetic Progression
1. 5.1 Introduction
2. 5.2 nth Term of an A.P.
3. 5.3 Sum of First ‘n’ Terms of an A.P. (1/2)
4. 5.3 Sum of First ‘n’ Terms of an A.P. (2/2)
13. Chapter 6 Triangles
1. 6.1 Introduction
14. Chapter 7 Coordinate Geometry
1. 7.1 Introduction
2. 7.2 Summary (1/2)
3. 7.2 Summary (2/2)
15. Chapter 8 Introduction to Trigonometry
1. 8.1 Introduction
2. 8.2 Trigonometry Ratios
3. 8.3 Trigonometry Ratios of Some Specific Angles
4. 8.4 Trigonometry Ratios of Complementary Angles
5. 8.5 Trigonometry Identities
16. Chapter 9 Some Applications of Trigonometry
17. Chapter 10 Circles
1. 10.1 Introduction
2. 10.2 Secant of a Circle
3. 10.3 Tangent of a Circle
4. 10.4 Important Results
5. 10.5 Number of Tangents from a Point on a Circle (1/3)
6. 10.5 Number of Tangents from a Point on a Circle (2/3)
7. 10.5 Number of Tangents from a Point on a Circle (3/3)
18. Chapter 11 Constructions
1. 11.1 Introduction
2. 11.2 Division of a Line Segment
3. 11.3 To Construct a Triangle Similar to a Given Triangle as Per Given Scale Factor
4. 11.3 Construction of Tangents to a Circle
19. Chapter 12 Areas Related to Circles
20. Chapter 13 Surface Area and Volume
1. 13.1 Introduction
2. 13.2 Surface Area of a Combination of Solids
3. 13.3 Volume of a Combination of Solids
4. 13.4 Conversion of Solid from One Shape to another
5. 13.5 Frustum of a Cone
21. Chapter 14 Statistics
1. 14.1 Introduction
2. 14.2 Statistics
3. 14.3 Mean of Grouped Data
4. 14.4 Median of the Grouped Data
5. 14.5 Mode of the Grouped Data
6. 14.6 Inter-relation Between Mean, Median and Mode
7. 14.7 Graphical Representation of Cumulative Frequency Distribution
22. Chapter 15 Probability
23. Competition Corner (1/8)
24. Competition Corner (2/8)
25. Competition Corner (3/8)
26. Competition Corner (4/8)
27. Competition Corner (5/8)
28. Competition Corner (6/8)
29. Competition Corner (7/8)
30. Competition Corner (8/8)
31. Summative Assessment (2016–2012) (1/13)
32. Summative Assessment (2016–2012) (2/13)
33. Summative Assessment (2016–2012) (3/13)
34. Summative Assessment (2016–2012) (4/13)
35. Summative Assessment (2016–2012) (5/13)
36. Summative Assessment (2016–2012) (6/13)
37. Summative Assessment (2016–2012) (7/13)
38. Summative Assessment (2016–2012) (8/13)
39. Summative Assessment (2016–2012) (9/13)
40. Summative Assessment (2016–2012) (10/13)
41. Summative Assessment (2016–2012) (11/13)
42. Summative Assessment (2016–2012) (12/13)
43. Summative Assessment (2016–2012) (13/13)
44. National Talent Search Examination (2015–2013) (1/30)
45. National Talent Search Examination (2015–2013) (2/30)
46. National Talent Search Examination (2015–2013) (3/30)
47. National Talent Search Examination (2015–2013) (4/30)
48. National Talent Search Examination (2015–2013) (5/30)
49. National Talent Search Examination (2015–2013) (6/30)
50. National Talent Search Examination (2015–2013) (7/30)
51. National Talent Search Examination (2015–2013) (8/30)
52. National Talent Search Examination (2015–2013) (9/30)
53. National Talent Search Examination (2015–2013) (10/30)
54. National Talent Search Examination (2015–2013) (11/30)
55. National Talent Search Examination (2015–2013) (12/30)
56. National Talent Search Examination (2015–2013) (13/30)
57. National Talent Search Examination (2015–2013) (14/30)
58. National Talent Search Examination (2015–2013) (15/30)
59. National Talent Search Examination (2015–2013) (16/30)
60. National Talent Search Examination (2015–2013) (17/30)
61. National Talent Search Examination (2015–2013) (18/30)
62. National Talent Search Examination (2015–2013) (19/30)
63. National Talent Search Examination (2015–2013) (20/30)
64. National Talent Search Examination (2015–2013) (21/30)
65. National Talent Search Examination (2015–2013) (22/30)
66. National Talent Search Examination (2015–2013) (23/30)
67. National Talent Search Examination (2015–2013) (24/30)
68. National Talent Search Examination (2015–2013) (25/30)
69. National Talent Search Examination (2015–2013) (26/30)
70. National Talent Search Examination (2015–2013) (27/30)
71. National Talent Search Examination (2015–2013) (28/30)
72. National Talent Search Examination (2015–2013) (29/30)
73. National Talent Search Examination (2015–2013) (30/30)

## Product information

• Title: The Mathematics Springboard 10th, 1st Edition
• Author(s): Pearson Education
• Release date: December 2024
• Publisher(s): Pearson India
• ISBN: 9789332585133