Amazing Abacus Institute
Complete interactive exercise solutions for NCERT Ganita Prakash and Ganita Manjari
📘 Class 6 — Ganita Prakash
Patterns in Mathematics
Visualizing repeating motifs, numerical sequences, relations, and rule formulation.
Lines and Angles
Ray intersections, parallel lines, transversals, and angle classification.
Number Play
Divisibility tests, mental arithmetic shortcuts, multiples, and factors exploration.
Data Handling and Presentation
Collecting observations, organizing tally tables, pictographs, and bar charts.
Prime Time
Prime factorizations, coprime pairs, Sieve of Eratosthenes, HCF, and LCM methods.
Perimeter and Area
Boundary calculations, area covering of regular shapes, grids, and rectilinear forms.
Fractions
Parts of wholes, proper and improper forms, equivalence, and number line placements.
Playing with Constructions
Ruler and compass constructions, circle drawing, and angle bisections.
Symmetry
Reflection axes, rotational balance, and patterns in nature and geometric figures.
The Other Side of Zero
Signed numbers, negative integers, direction signs, and additive opposites.
📗 Class 7 — Ganita Prakash
Geometric Twins
Congruence of plane figures, superimposition, matching vertices, and congruence conditions for triangles.
Operations with Integers
Addition, subtraction, multiplication, and division of signed numbers with number line reasoning.
Finding Common Ground
Common factors, multiples, fractions, equivalence, and proportional reasoning across numbers.
Another Peek Beyond the Point
Decimals, place value expansions, scaling operations, and practical measurement applications.
Connecting the Dots…
Data representation, organizing observations, line graphs, and deriving statistical trends.
Constructions and Tilings
Geometric constructions, angle bisectors, perpendicular lines, tessellations, and regular tilings.
Finding the Unknown
Algebraic formulation, unknowns, variable balancing, and solving linear equations step-by-step.
📙 Class 8 — Ganita Prakash (Part II)
Fractions in Disguise
Decimals, percentages, equivalent forms, rational properties, and hidden proportional ratios.
Comparing & Scaling Quantities
Direct variation, inverse proportions, compounding scale factors, and practical scheduling problems.
Expressions and Identities
Polynomial products, visual geometric proofs of standard algebraic identities, and factorization logic.
Measuring Space & Shapes
Mensuration of composite figures, trapeziums, surface areas, and volumetric calculations for 3D solids.
Powers, Exponents & Large Numbers
Negative integral exponents, laws of indices, and scientific notation for microscopic and astronomical data.
Seeing Patterns in Graphs
Cartesian coordinate plotting, continuous and discrete graphs, and independent-dependent variable relations.
📕 Class 9 — Ganita Manjari (Part II)
Propositions and their Converses
Propositions, Converses, Counterexamples & Complete Exercise Set 9.1 Solutions.
Circles & Chords
Step-by-step textbook exercise solutions with labelled diagrams and marking schemes.
Heron’s Formula
Detailed step-by-step textbook exercise solutions with marked diagrams.
Quadrilaterals
Parallelograms, Midpoint Theorem, Centroid, Varignon’s Theorem & Plane Tilings.
Linear Equations in Two Variables
Complete step-by-step solutions for exercises, graphical plotting, intersection points, and word problems.