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ICSE Class 10 Books Maths — ICSEBoard.org

Class 10 Maths, chapter by chapter — 42 chapters from 2 textbooks, with what each chapter covers and its official PDF.

A. Das Gupta

#ChapterSectionsPractice questionsPagesPDF
1Compound Interest36025Chapter 1 PDF
3Banking32413Chapter 3 PDF
6Quadratic Equations19425Chapter 6 PDF
8Ratio55721Chapter 8 PDF
12Reflection93610Chapter 12 PDF
13Distance And Section Formulae26830Chapter 13 PDF
14Equation Of A Straight Line46430Chapter 14 PDF
16Similarity As A Size Transformation3105Chapter 16 PDF
17Similarity Of Triangles31512Chapter 17 PDF
18Loci11913Chapter 18 PDF
20Angle Properties Of A Circle23527Chapter 20 PDF
21Tangent Properties Of Circles14422Chapter 21 PDF
23Circumference And Area Of A Circle24717Chapter 23 PDF
24Cone And Sphere75524Chapter 24 PDF
25Trigonometrical Identities27125Chapter 25 PDF
27Graphical Representation Of Statistical Data11312Chapter 27 PDF
28Measures Of Central Tendency42614Chapter 28 PDF

What each A. Das Gupta chapter covers

  • Chapter 1: Compound Interest — Covers Formulae, When Interest is Reckoned Annually, When Interest is Reckoned Half-yearly (or Semi-annually). 25 pages. Practice: Exercise 1 (A) (14 questions), Exercise 1(B) (31 questions), Exercise 1 (C) (15 questions).
  • Chapter 3: Banking — Covers Calculating Interest is a Saving Bank Account, Method of Calculating Interest, Recurring Deposit (R.D.) or Commulative Time Deposits (C.T.D.). 13 pages. Practice: Exercise 3 (A) (11 questions), Exercise 3(B) (13 questions).
  • Chapter 6: Quadratic Equations — Covers Some different forms of the quadratic equation. 25 pages. Practice: Exercise 6 (A) (50 questions), Exercise 6 (B) (20 questions), Exercise 6-c (24 questions).
  • Chapter 8: Ratio — Covers Continued Proportion, Mean Proportional (or Geometric Mean), Third Proportional, An Important Property, Properties of Ratio and Proportion. 21 pages. Practice: Exercise 8(A) (47 questions), Exercise 8 (B) (10 questions).
  • Chapter 12: Reflection — Covers 12.1 Introduction, 12.2 Co-ordinate Axes, 12.3 Co-ordinates, 12.4 Reflection, 12.5 Reflection in the line y = 0 i.e. in the x-axis, 12.6 Reflection in the line x = 0 i.e. in the y-axis, 12.7 Reflection in the origin, 12.8 Invariant Point, 12.9 Using Graph Paper. 10 pages. Practice: Exercise 12(A) (19 questions), Exercise 12(B) (17 questions).
  • Chapter 13: Distance And Section Formulae — Covers Distance Formula, Section Formula. 30 pages. Practice: Exercise 13 (A) (29 questions), Exercise 13 (B) (39 questions).
  • Chapter 14: Equation Of A Straight Line — Covers Inclination of a Line, Slope or Gradient of a Line, Some Results on Slope of a Line, Equation of An Oblique Line in Various Forms. 30 pages. Practice: Exercise 14 (A) (27 questions), Exercise 14 (B) (37 questions).
  • Chapter 16: Similarity As A Size Transformation — Covers Similarity of Figures, Similarity As a Size Transformation, Map. 5 pages. Practice: Exercise 16 (10 questions).
  • Chapter 17: Similarity Of Triangles — Covers Similar Triangles, Three Similarity Axioms For Triangles, Results on Area of Similar Triangles (Theorems). 12 pages. Practice: Exercise 17 (15 questions).
  • Chapter 18: Loci — Covers Some Examples of Loci. 13 pages. Practice: Exercise 18 (19 questions).
  • Chapter 20: Angle Properties Of A Circle — Covers Some Important Theorems., Arc Properties of Circles (Theorems). 27 pages. Practice: Exercise – 20 (A) (26 questions), Exercise 20 (B) (9 questions).
  • Chapter 21: Tangent Properties Of Circles — Covers Some Results (Theorems). 22 pages. Practice: Exercise 21 (A) (27 questions), Exercise 21 (B) (17 questions).
  • Chapter 23: Circumference And Area Of A Circle — Covers Some Important Formulae, Results on Sectors and Segments. 17 pages. Practice: Exercise 23 (47 questions).
  • Chapter 24: Cone And Sphere — Covers Right Circular Cone, Formulae, Sphere, Formulae, Spherical Shell, Hemisphere, Hemispherical Shell. 24 pages. Practice: Exercise 24 (A) (23 questions), Exercise 24 (B) (32 questions).
  • Chapter 25: Trigonometrical Identities — Covers Trigonometrical Ratios or T-Ratios., (A) Relations Between T-Ratios (Theorems). 25 pages. Practice: Exercise 25(A) (46 questions), Exercise 25 (B) (17 questions), Exercise 25 (C) (8 questions).
  • Chapter 27: Graphical Representation Of Statistical Data — Covers Graphical Representation of Data. 12 pages. Practice: Exercise 27 (13 questions).
  • Chapter 28: Measures Of Central Tendency — Covers Average of a Data, Arithmetic Mean, Some Useful Results, Mean of grouped data. 14 pages. Practice: Exercise 28 (26 questions).

Bansal

#ChapterSectionsPractice questionsPagesPDF
1Value Added Tax51314Chapter 1 PDF
2Banking4307Chapter 2 PDF
3Shares And Dividend33515Chapter 3 PDF
4Linear Inequations63513Chapter 4 PDF
5Quadratic Equations56615Chapter 5 PDF
6Solving Simple Problems Based On Quadratic Equations75013Chapter 6 PDF
7Ratio And Proportion Including Properties And Uses99025Chapter 7 PDF
8Remainder And Factor Theorems42410Chapter 8 PDF
9Matrices146320Chapter 9 PDF
10Arithmetic Progression78719Chapter 10 PDF
11Geometric Progression94423Chapter 11 PDF
12Reflection93610Chapter 12 PDF
13Section And Mid Point Formula46413Chapter 13 PDF
14Equation Of A Line127419Chapter 14 PDF
15Similarity85227Chapter 15 PDF
16Loci45311Chapter 16 PDF
17Circles56125Chapter 17 PDF
18Tangents And Intersecting Chords16620Chapter 18 PDF
19Constructions Circles3225Chapter 19 PDF
20Cylinder Cone And Sphere88325Chapter 20 PDF
21Trigonometrical Identities68716Chapter 21 PDF
22Heights And Distances15010Chapter 22 PDF
23Graphical Representation796Chapter 23 PDF
24Measures Of Central Tendency117629Chapter 24 PDF
25Probability46316Chapter 25 PDF

What each Bansal chapter covers

  • Chapter 1: Value Added Tax — Covers 1.1 Introduction, 1.2 Some Important Terms, 1.3 Computation of Sales Tax, 1.4 Problems Involving Overhead Charges and Discounts, 1.5 Value – Added Tax (VAT). 14 pages. Practice: Exercise 1(A) (13 questions).
  • Chapter 2: Banking — Covers 2.1 Introduction, 2.2 Types of Accounts, 2.3 Recurring Deposit Account (R.D. Account), 2.4 Computing maturity value of a Recurring Deposit Account. 7 pages. Practice: Exercise 2(A) (19 questions), Exercise 2(B) (11 questions).
  • Chapter 3: Shares And Dividend — Covers 3.1 Introduction, 3.2 Formulae, 3.3 Miscellaneous Problems. 15 pages. Practice: Exercise 3(A) (15 questions), Exercise 3(C) (20 questions).
  • Chapter 4: Linear Inequations — Covers 4.1 Introduction, 4.2 Linear Inequations In One Variable, 4.3 Solving a Linear Inequation Algebraically, 4.4 Replacement Set and Solution Set, 4.5 Representation of the solution on the number line, 4.7 Important. 13 pages. Practice: Exercise 4(B) (35 questions).
  • Chapter 5: Quadratic Equations — Covers 5.1 Introduction, 5.2 To examine the nature of the roots, 5.3 Solving quadratic equations by factorisation, 5.4 Solving quadratic equations using the formula, 5.5 Equations Reducible to Quadratic Equations. 15 pages. Practice: Exercise 5(A) (5 questions), Exercise 5(B) (31 questions), Exercise 5(C) (10 questions), Exercise 5(D) (20 questions).
  • Chapter 6: Solving Simple Problems Based On Quadratic Equations — Covers 6.1 Introduction, 6.2 Problems Based on Numbers, 6.3 Problems Based on Time and Work, 6.4 Problems Based on Geometrical Figures, 6.5 Problems Based on Distance, Speed and Time, 6.6 Problems on C.P. and S.P., 6.7 Miscellaneous Problems. 13 pages. Practice: Exercise 6(B) (13 questions), Exercise 6(C) (10 questions), Exercise 6(D) (11 questions), Exercise 6(E) (16 questions).
  • Chapter 7: Ratio And Proportion Including Properties And Uses — Covers 7.1 Introduction, 7.2 Ratio, 7.3 Increase (or decrease) in a ratio, 7.4 Commensurable and incommensurable quantities, 7.5 Composition of Ratios, 7.6 Proportion, 7.7 Continued proportion, 7.8 Some Important Properties of Proportion, 7.9 Direct Applications. 25 pages. Practice: Exercise 7(A) (30 questions), Exercise 7(B) (20 questions), Exercise 7(C) (15 questions), Exercise 7(D) (25 questions).
  • Chapter 8: Remainder And Factor Theorems — Covers 8.1 A Basic Concept, 8.2 Remainder Theorem, 8.3 Factor Theorem, 8.4 Using the Factor Theorem to factorise the given polynomial. 10 pages. Practice: Exercise 8(B) (24 questions).
  • Chapter 9: Matrices — Covers 9.1 Matrix, 9.2 Order of a Matrix, 9.3 Elements of a Matrix, 9.4 Types of Matrices, 9.5 Transpose of a Matrix, 9.6 Equality of Matrices, 9.7 Addition of Matrices, 9.8 Subtraction of Matrices, 9.9 Additive Identity, 9.10 Additive Inverse, 9.11 Solving Matrix Equations, 9.12 Multiplication of a matrix by a scalar (real number)…. 20 pages. Practice: Exercise 9(B) (11 questions), Exercise 9(C) (31 questions), Exercise 9(D) (21 questions).
  • Chapter 10: Arithmetic Progression — Covers 10.1 Introduction, 10.2 Arithmetic Progression (A.P.), 10.3 General Term of An Arithmetic Progression, 10.4 Sum of $n$ terms of an A.P., 10.5 Three or more terms in A.P., 10.6 Arithmetic mean, 10.7 Properties of an A.P.. 19 pages. Practice: Exercise 10(A) (17 questions), Exercise 10(B) (16 questions), Exercise 10(C) (14 questions), Exercise 10(D) (14 questions), Exercise 10(F) (6 questions), Exercise 10(G) (20 questions).
  • Chapter 11: Geometric Progression — Covers 11.1 Introduction, 11.2 Geometric progression, 11.3 General term of a geometric progression, 11.4 Properties of geometric progression, 11.5 Sum of n terms of a G.P., 11.6 Sum of Infinite Terms of a G.P., 11.7 Recurring decimals, 11.8 Geometric mean between numbers $a$ and $b$, 11.9 n Geometric means between $a$ and $b$. 23 pages. Practice: Exercise 11(A) (12 questions), Exercise 11(B) (10 questions), Exercise 11(C) (8 questions), Exercise 11(F) (4 questions), Exercise 11(G) (10 questions).
  • Chapter 12: Reflection — Covers 12.1 Introduction, 12.2 Co-ordinate Axes, 12.3 Co-ordinates, 12.4 Reflection, 12.5 Reflection in the line y = 0 i.e. in the x-axis, 12.6 Reflection in the line x = 0 i.e. in the y-axis, 12.7 Reflection in the origin, 12.8 Invariant Point, 12.9 Using Graph Paper. 10 pages. Practice: Exercise 12(A) (19 questions), Exercise 12(B) (17 questions).
  • Chapter 13: Section And Mid Point Formula — Covers 13.1 Introduction, 13.2 The Section Formula, 13.4 Mid-Point Formula, 13.5 Centroid of a triangle. 13 pages. Practice: Exercise 13(A) (25 questions), Exercise 13(B) (18 questions), Exercise 13(C) (21 questions).
  • Chapter 14: Equation Of A Line — Covers 14.1 A Basic Concept, 14.2 Inclination of a line, 14.3 Concept of Slope (or, gradient), 14.4 Slope (or, gradient) of a straight line, 14.5 The slope of a straight line passing through two given fixed points, 14.6 Parallel Lines, 14.7 Perpendicular Lines, 14.9 X-intercept, 14.10 Y-intercept, 14.11 Equation of a line, 14.12 Equally Inclined Lines, 14.13 To find the slope and y-intercept of a given line. 19 pages. Practice: Exercise 14(A) (12 questions), Exercise 14(C) (23 questions), Exercise 14(E) (39 questions).
  • Chapter 15: Similarity — Covers 15.1 Introduction, 15.2 Similar Triangles, 15.3 Corresponding sides and corresponding angles, 15.4 Condition of Similar Triangle : (SAS, AA or AAA and SSS), 15.5 Basic Proportionality Theorem With Applications, 15.6 Relation between the areas of two triangles, 15.7 Similarity as a Size Transformation, 15.8 Applications to Maps and Models. 27 pages. Practice: Exercise 15(B) (10 questions), Exercise 15(D) (8 questions), Exercise 15(E) (34 questions).
  • Chapter 16: Loci — Covers 16.3 Theorems Based on Symmetry, 16.4 Applications, 16.5 Summary, 16.6 Important. 11 pages. Practice: Exercise 16(A) (20 questions), Exercise 16(B) (33 questions).
  • Chapter 17: Circles — Covers 17.1 Introduction, 17.2 Arc and its types, 17.3 Segment and relation between arcs and segments, 17.4 Cyclic Properties, 17.5 Some important results. 25 pages. Practice: Exercise 17(A) (61 questions).
  • Chapter 18: Tangents And Intersecting Chords — Covers 18.1 Introduction. 20 pages. Practice: Exercise 18(A) (23 questions), Exercise 18(C) (43 questions).
  • Chapter 19: Constructions Circles — Covers 19.1 Construction of Tangents to a Given Circle, 19.2 Construction of Circumscribed and Inscribed Circles of a Triangle, 19.3 Circumscribing and Inscribing a Circle on Regular Hexagon. 5 pages. Practice: Exercise 19 (22 questions).
  • Chapter 20: Cylinder Cone And Sphere — Covers 20.1 Cylinder, 20.2 Hollow Cylinder, 20.3 Cone, 20.4 Sphere, 20.5 Spherical Shell, 20.7 Conversion of solids, 20.8 Combination of Solids, 20.9 Miscellaneous Problems. 25 pages. Practice: Exercise 20(A) (28 questions), Exercise 20(C) (12 questions), Exercise 20(E) (10 questions), Exercise 20(F) (15 questions), Exercise 20(G) (18 questions).
  • Chapter 21: Trigonometrical Identities — Covers 21.1 Trigonometry, 21.2 Trigonometrical Ratios, 21.3 Relations Between Different Trigonometrical Ratios, 21.4 Trigonometric Identities, 21.5 Trigonometrical Ratios of Complementary Angles, 21.6 Using the Trigonometrical Tables. 16 pages. Practice: Exercise 21(A) (48 questions), Exercise 21(B) (7 questions), Exercise 21(C) (11 questions), Exercise 21(D) (21 questions).
  • Chapter 22: Heights And Distances — Covers 22.1 Angles of elevation and depression. 10 pages. Practice: Exercise 22(A) (15 questions), Exercise 22(B) (15 questions), Exercise 22(C) (20 questions).
  • Chapter 23: Graphical Representation — Covers 23.1 Graphical Representation, 23.2 Histogram, 23.3 Histogram for Continuous Grouped Data, 23.4 For Discontinuous Grouped Data, 23.5 When Class Marks are Given, 23.6 Cumulative Frequency and Cumulative Frequency Table, 23.7 Cumulative Frequency Curve or an Ogive. 6 pages. Practice: Exercise 23 (9 questions).
  • Chapter 24: Measures Of Central Tendency — Covers 24.1 Introduction, 24.2 Arithmetic Mean, 24.3 Arithmetic Mean of Tabulated Data, 24.4 To Find Mean for Grouped Data (both continuous and discontinuous), 24.5 Median, 24.6 Median for Raw Data, 24.7 Median for Tabulated Data, 24.8 Median for Grouped Data (both continuous and discontinuous), 24.9 Quartiles, 24.10 Inter-quartile Range, 24.11 Mode. 29 pages. Practice: Exercise 24(A) (17 questions), Exercise 24(B) (11 questions), Exercise 24(D) (48 questions).
  • Chapter 25: Probability — Covers 25.1 Introduction, 25.2 Some Basic Terms and Concepts, 25.3 Measurement of Probability, 25.4 Important. 16 pages. Practice: Exercise 25(A) (15 questions), Exercise 25(B) (14 questions), Exercise 25(C) (34 questions).

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