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Operations on Fractions
Add, subtract, and multiply proper, improper, and mixed fractions with unlike denominators.
Decimals and Operations
Add, subtract, multiply, and divide decimal numbers and round decimals to nearest tenths or hundredths.
Percentages and Applications
Convert between fractions, decimals, and percentages, and calculate percentages of given quantities.
Area, Perimeter, and Volume
Calculate perimeter and area of composite shapes and find volume of cubes and cuboids using standard cubic units.
Angles and Triangles
Classify angles and triangles, verify the angle sum property of triangles (180°), and use a protractor accurately.
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Speed, Distance, and Time Calculations
Apply formulas Speed = Distance / Time, convert km/h to m/s, and solve word problems.
Large Numbers up to Crores and International System
Read, write, compare, and convert numbers across Indian (crores) and International (millions, billions) systems.
Prime Factorisation, HCF, and LCM
Find HCF and LCM using factor trees and common prime division methods.
Unitary Method and Direct Proportion
Solve real-life rate and cost problems by calculating value of a single unit first.
Circles: Radius, Diameter, Circumference, and Chords
Identify circle anatomy (radius, diameter, circumference, chord, sector) and use d = 2r.
Data Handling: Double Bar Graphs and Pie Charts
Read and construct double bar graphs for comparison and interpret basic pie charts.
Patterns, Symmetry, and Spatial Reasoning
Investigate rotational symmetry, reflections, 3D nets of solids, and growing geometric patterns.
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