NCERT Class 8 Maths
Class 8 Maths: Ganita Prakash chapter-wise practice
Ganita Prakash asks children to notice patterns, try things out and explain why, which is very different from the old routine of twenty similar sums. The practice follows the book's order and its kind of questions. Hands-on activities let your child build fractions, draw constructions and test number patterns before the questions start.
- 14 chapters
- 626 practice questions
- 2 books
Ganita Prakash Part I
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Chapter 1 A Square and a Cube
Use the locker puzzle, square patterns, square roots, cubes, cube roots and Ramanujan's taxicab story to recognise powers and roots with reasoning.
Topics: Locker puzzle and factor pairs, Square numbers and last-digit patterns, Odd numbers and triangular links, Square roots and prime factorisation, Cubic numbers and cube roots, Cube patterns and taxicab numbers, Mixed square-cube problem solving
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Chapter 2 Power Play
Explore exponential growth through folded paper, shining stones, lotus ponds, passwords, powers of 10, scientific notation and estimation.
Topics: Exponential growth from paper folding, Exponential notation, Laws of positive exponents, Division, zero and negative exponents, Combinations and passwords, Powers of 10 and scientific notation, Estimation with large quantities
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Chapter 3 A Story of Numbers
Follow Reema's journey from sticks, body counting and Roman numerals to bases, place value, zero and the Hindu number system.
Topics: Origins and spread of Hindu numerals, Counting and one-to-one mapping, Early grouping systems, Roman numerals and landmark numbers, Egyptian and base-n systems, Base-system operations and abacus, Place value beyond India, Zero and efficiency of the Hindu system
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Chapter 4 Quadrilaterals
Use definitions, diagonals, angle sums and congruence to reason about rectangles, squares, parallelograms, rhombuses, kites and trapeziums.
Topics: Quadrilaterals and definitions, Rectangle diagonal reasoning, Squares as special rectangles, Angle sum in quadrilaterals, Parallelogram properties, Rhombus properties, Kites and trapeziums, Construction and classification
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Chapter 5 Number Play
Play with consecutive sums, signs, divisibility shortcuts, remainders, digital roots and cryptarithms. The chapter keeps asking why a shortcut works, not just how to use it.
Topics: Consecutive numbers and parity, Even expressions and multiples of 4, Always, sometimes or never, Remainders as algebra, Divisibility by 9, 3 and digital roots, Divisibility by 11 and combined tests, Digits in disguise
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Chapter 6 We Distribute, Yet Things Multiply
Use the distributive property to expand products, explain fast multiplication tricks and prove algebraic identities. The chapter shows that different-looking methods can lead to the same expression.
Topics: Distributive property, Change in products, Expanding and like terms, Fast multiplication, Square identities, Difference of squares, Equivalent expressions in patterns
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Chapter 7 Proportional Reasoning-1
Compare ratios, decide when changes are proportional, use the rule of three and divide quantities in a given ratio. The chapter stresses same units and real-life meaning, not just cross-multiplication.
Topics: Similarity and proportional change, Ratios and simplest form, Scaling recipes and mixtures, Rule of Three, Sharing in a ratio, Unit conversions and rates, When proportion is not enough
Ganita Prakash Part II
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Chapter 1 Fractions in Disguise
Connect fractions, decimals and percentages to paint mixtures, marks, sales, profit, tax, interest and data. Learn to choose the correct base before calculating a percentage.
Topics: Percent means per hundred, FDP trio, Percentage of a quantity, Percentages above 100 and ratios, Comparing scores and profit/loss, Growth, compounding and decline, Tricky percentage comparisons
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Chapter 2 The Baudhayana-Pythagoras Theorem
Explore how diagonals combine square areas, why a right triangle satisfies a² + b² = c², and how triples and applications grow from this theorem.
Topics: Doubling and halving squares, Isosceles right triangles and √2, Baudhayana theorem, Baudhayana triples, Generating triples and Fermat's question, Applications to lengths, Area constructions
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Chapter 3 Proportional Reasoning-2
Extend ratio thinking to maps, multi-term mixtures, pie charts and inverse proportion. Use constant quotients or constant products to decide which proportional model fits.
Topics: Direct proportion recap, Map scale and representative fraction, Ratios with many terms, Dividing a whole and pie charts, Inverse proportion, Work, speed and rate applications, Proportion in data situations
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Chapter 4 Exploring Some Geometric Themes
Explore fractal patterns, nets of solids, projections, shortest paths on cuboids and isometric drawings. The chapter turns geometry into repeated patterns and viewpoints.
Topics: Self-similar fractals, Sierpinski carpet and gasket, Koch snowflake growth, Solids, profiles and counts, Nets of solids, Shortest paths and projections, Shadows and isometric drawings
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Chapter 5 Tales by Dots and Lines
Explore mean and median through dot plots, balance and frequency tables, then read line graphs and other data displays as careful data stories.
Topics: Mean as a balance point, Changing a mean, Transforming all data values, Tinkering with median, Unknowns and frequencies, Spreadsheet cells and formulae, Line graphs and data stories
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Chapter 6 Algebra Play
Use algebra to explain number tricks, date tricks, pyramids, grids, digit products, divisibility patterns and story problems.
Topics: Number and date tricks, Number pyramids, Calendar and algebra grids, Largest product with digits, Divisibility tricks, Equation story problems, Genie and pattern puzzles
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Chapter 7 Area
Build area formulae from unit squares and dissections: rectangles, triangles, polygons, parallelograms, rhombi, trapeziums and real-life units.
Topics: Rectangle area and perimeter contrast, Triangle area formula, Triangle applications and equal areas, Area of polygons by decomposition, Parallelogram dissection, Rhombus and trapezium formulae, Real-life area units
Where does the study time go?
Middle school days are long. Six subjects, projects, the commute and often tuition in the evening. Children spend plenty of hours on studies but get very little quiet time to study on their own, and a gap in one chapter quietly carries over into the next.
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 8 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.