Study Path Agent Study Path Agent
Generate Your Own
Mathematics Class 10 (HBSE)
73 topics across 7 chapters
Chapter 1
Number System & Polynomial Foundations
1
Real Numbers
3 subtopics
2
Euclid Division Lemma: HCF problems
3
Fundamental Theorem of Arithmetic: prime factorization-based questions
4
Irrational numbers & decimal expansion (terminating/non-terminating)
5
Polynomials
3 subtopics
6
Zeros of a polynomial & relationship with coefficients
7
Factor and Remainder theorem: basic applications
8
Polynomial graphs: identifying zeros and behavior (basic)
Chapter 2
Algebra: Linear/Quadratic Equations & Arithmetic Progressions
9
Pair of Linear Equations in Two Variables
3 subtopics
10
Graphical method: consistency and number of solutions
11
Algebraic methods: substitution & elimination
12
Word problems on linear equations (money/age/speed mixtures)
13
Quadratic Equations
3 subtopics
14
Solving quadratics by factorization
15
Completing the square & quadratic formula
16
Discriminant: nature of roots and related questions
17
Arithmetic Progressions (AP)
2 subtopics
18
AP formulas: nth term and sum of first n terms
19
AP word problems (finding terms, sums, missing values)
Chapter 3
Coordinate Geometry
20
Coordinate Geometry Basics
1 subtopics
21
Plotting points & identifying quadrants
22
Distance & Section Formula
2 subtopics
23
Distance formula: practice sets (including squared distances)
24
Section formula: midpoint and internal division (basic)
25
Area of a Triangle using Coordinates
1 subtopics
26
Area by coordinates: collinearity and area calculation problems
Chapter 4
Geometry & Constructions (Triangles, Circles)
27
Similarity of Triangles
3 subtopics
28
Similarity criteria (AA, SAS, SSS): proving triangles similar
29
Basic Proportionality Theorem (Thales): applications
30
Area ratio theorem for similar triangles: problem practice
31
Pythagoras Theorem
1 subtopics
32
Pythagoras applications: real-life and geometry problems
33
Circles (Tangents)
3 subtopics
34
Tangent properties: radius ⟂ tangent, equal tangents from an external point
35
Number of tangents from a point: inside/on/outside circle
36
Standard theorem-based tangent questions (mixed)
37
Geometrical Constructions
3 subtopics
38
Construction: divide a line segment in a given ratio
39
Construction: tangents to a circle from an external point
40
Construction: similar triangles / scale factor based constructions
Chapter 5
Trigonometry & Applications
41
Trigonometric Ratios & Identities
2 subtopics
42
Defining sin/cos/tan etc. in a right triangle; complementary angles
43
Core identities: (sin²+cos²=1) and related transformations
44
Standard Trigonometric Values & Simplification
2 subtopics
45
Learn 0°, 30°, 45°, 60°, 90° trig values (table-based)
46
Simplification & identity-verification problems (mixed practice)
47
Heights & Distances
1 subtopics
48
Heights & distances word problems (angles of elevation/depression)
Chapter 6
Mensuration (Areas, Surface Areas & Volumes)
49
Areas Related to Circles
2 subtopics
50
Sector & segment area/perimeter problems
51
Mixed mensuration: combining circle formulas with triangles/rectangles
52
Surface Areas & Volumes
3 subtopics
53
SA/V formulas: cylinder, cone, sphere, frustum (as per syllabus)
54
Combination of solids: volume and surface area (typical exam sets)
55
Units, rounding, and correct use of π (22/7 vs 3.14)
Chapter 7
Data Handling + HBSE Paper Practice
56
Statistics
2 subtopics
57
Mean/Median/Mode from grouped data (step-by-step)
58
Cumulative frequency & ogive-based questions (where included)
59
Probability
2 subtopics
60
Theoretical probability basics (P(E)=favourable/total)
61
Practice: coins, dice, cards (simple events only)
62
HBSE Exam Practice: Making a Paper & Solving Strategy
3 subtopics
63
HBSE paper pattern basics: marks distribution & question types (check your latest blueprint)
64
How to make a 3-hour math paper: sectioning + difficulty balance
65
Previous-year style practice plan: daily schedule + error log

Want a personalized study path for any topic?

Generate Your Own Study Path