NCERT Class 9 Maths
Class 9 Maths: Ganita Manjari chapter-wise practice
At this level most marks are lost in small steps: a sign that flips, a formula half remembered, a unit left out. Questions are grouped by topic so your child can go deep on one idea at a time, and every solution is written out the way a teacher would want it in the exam copy.
- 8 chapters
- 388 practice questions
Ganita Manjari
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Chapter 1 Orienting Yourself: The Use of Coordinates
Locate points with coordinates, interpret axes and quadrants, and use coordinate differences to measure and reason about figures.
Topics: Coordinate systems and maps, Axes, origin and ordered pairs, Signs, axes and quadrants, Reading and plotting locations, Horizontal and vertical distances, Distance formula, Midpoints and section points, Coordinate reasoning for figures
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Chapter 2 Introduction to Linear Polynomials
Recognise linear polynomials, evaluate them, model constant change, and graph relationships of the form $y=ax+b$.
Topics: Terms, variables, coefficients and constants, Univariate polynomials and degree, Linear polynomials, Evaluating polynomial values, Linear equations from situations, Linear patterns, growth and decay, Linear relationship from data, Graphs, slope, intercept and parallel lines
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Chapter 3 The World of Numbers
Trace number systems from counting to real numbers, operate with integers and rationals, and distinguish rational and irrational decimals.
Topics: Natural numbers, zero and integers, Integer operations, Rational numbers, Rational arithmetic and equality, Number line, absolute value and density, Irrational numbers and square-root construction, Decimal expansions and conversion, Real numbers and classification
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Chapter 4 Exploring Algebraic Identities
Visualise, prove and use algebraic identities for expansion, factorisation, mental calculation and simplification.
Topics: Identity versus equation, Square identities, Perfect-square factorisation, Difference of squares and quick products, Algebra tiles and quadratic factorisation, Cube and three-variable identities, Rational expressions and applications
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Chapter 5 I'm Up and Down, and Round and Round
Circle definitions, symmetry, chord properties, arc-angle theorems and cyclic quadrilaterals.
Topics: Circle as a locus, Symmetry and circles through points, Equal chords and central angles, Perpendiculars and distances of chords, Angles subtended by arcs, Cyclic quadrilaterals, Circle calculations and proof order
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Chapter 6 Measuring Space: Perimeter and Area
Perimeter, circumference, arc length, polygon area, Heron and Brahmagupta formulas, circle area and sectors.
Topics: Perimeter, circumference and $\pi$, Arc length and sector perimeter, Approximations and irrationality of $\pi$, Area of polygons and triangles, Heron and Brahmagupta formulas, Area of circle, sector and segment, Measurement applications
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Chapter 7 The Mathematics of Maybe: Introduction to Probability
Probability as likelihood, experimental and theoretical probability, sample spaces, events, tree diagrams and independence.
Topics: Randomness and probability scale, Experimental probability, Theoretical probability, Sampling and statistical estimates, Sample spaces and events, Tree diagrams, Independence and gambler’s fallacy
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Chapter 8 Predicting What Comes Next: Exploring Sequences and Progressions
Sequences, explicit and recursive rules, APs, natural-number sums, GPs and fractal applications.
Topics: Sequences and term notation, Explicit and recursive rules, Virahānka, Fibonacci type recursion, Arithmetic progressions, Sums of natural numbers and triangular numbers, Geometric progressions, Fractals and applications of progressions
Where does the study time go?
In Classes 9 and 10 many children leave home early and come back late after school and coaching. Self-study gets pushed into the last hour of the night, when they are too tired to think clearly. What helps most is knowing exactly which topics deserve that hour.
Tuition is fine, and plenty of children need it. But a tutor with eight or ten children in one batch cannot sit with each of them, and cannot always keep track of what the school did that week. Sometimes the tuition follows its own order of chapters, the child ends up juggling two plans for the same subject, and the confusion shows up in the next test.
NoTuition.in gives that small window some shape: the chapter your child is doing in school, a short activity, practice that explains every mistake, and a clear view for you of what needs work.
Practise Class 9 Maths the way the book teaches it
The free plan opens one full chapter in every subject, so you can see how your child gets on before you pay anything.