Math

Indian number system — ones, thousands, lakhs, crores; number names and expanded form

Roman numeral symbols, rules (addition and subtraction), Hindu-Arabic conversions up to 1000

Proper, improper and mixed fractions — equivalent fractions, comparison, addition and subtraction

Tenths and hundredths, fraction-decimal conversion, comparing and ordering decimals

Prime and composite numbers, HCF, LCM, divisibility rules

Multi-digit multiplication, long division, estimation and real-life word problems

5–7 digit addition and subtraction, regrouping, carrying and borrowing — up to 10,00,000

Brackets, Of, Division, Multiplication, Addition, Subtraction — evaluate expressions correctly

Tables 6–10 and 11–15, table patterns (9s digit sum, 11s), missing factor problems

Unlike-denominator addition and subtraction, mixed numbers, fractions of a group, simplification

Thousandths place, decimal multiplication, fraction↔decimal, word problems with decimals

Divisibility rules (4, 6, 8), prime factorization, HCF and LCM using factors, word problems

2D shapes and their properties, acute, right and obtuse angles, real-world shapes

Lines of symmetry, reflective and rotational symmetry, symmetry in letters and shapes

Cube, cuboid, cylinder, cone, sphere — faces, edges, vertices and nets

Points, lines, line segments, rays — parallel, perpendicular, angle types

Triangle types (equilateral, isosceles, scalene), angle sum 180°, quadrilateral properties

Count unit squares for irregular shapes, perimeter of polygons, triangle area (½ × b × h)

Volume vs capacity, count unit cubes, formula l × b × h, volume word problems

Counting patterns, multiplication patterns, square numbers, Fibonacci and magic squares

Tally marks, pictographs, bar graphs, tables, reading charts, average and mode

Compass directions (N, S, E, W, NE, NW, SE, SW), map scale, grid coordinates

Rounding, estimation, mental calculation shortcuts, checking reasonableness

Multi-step problems, unitary method, mixed operations — real-life scenarios across all topics

Calculate mean, find mode and range, read pictographs with scale, extended data analysis

Profit and loss calculation, fraction-to-percentage conversion, ratio in simplest form

Speed = Distance ÷ Time formula, real-life problems, Celsius temperature, mixed large-number operations