Homework PracticeSign Up

Grade-wise curriculum

CBSE Grade 8 Mathematics Curriculum and Practice

Chapter-wise Grade 8 Mathematics practice aligned to the CBSE curriculum. Explore topics, skills, worksheets, and assignments for A Square and A Cube, Power Play, A Story of Numbers, Quadrilaterals, Number Play, and We Distribute, Yet Things Multiply, and more.

Aligned with CBSE curriculumSkill-wise practiceWorksheets and assignmentsProgress tracking after sign-in

Chapter-wise curriculum

Chapters, topics, and skills

Check what is covered in this grade and where your child can start practicing.

Chapter 1

Chapter 1: A Square and A Cube

Explore square and cube numbers through visual models, patterns, roots, and problem-solving.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Recognize square numbers from visual arrangementsIdentify square numbers using equal rows and columns, dot patterns, and area models.
Practice area
Skill: Find squares using multiplication and patternsCalculate squares of numbers and use patterns such as consecutive odd-number sums.
Practice area
Skill: Use unit digits to test possible square numbersDecide whether a number can be a square by checking its unit digit and related patterns.
Practice area
Skill: Find square roots of perfect squaresFind square roots by reasoning from multiplication facts, factorisation, and square arrangements.
Practice area
Skill: Estimate square roots between two whole numbersLocate non-perfect square roots between consecutive whole numbers and make reasonable estimates.
Practice area
Skill: Recognize cube numbers from layered modelsIdentify cube numbers using equal layers, unit cubes, and side-length reasoning.
Practice area
Skill: Find cube roots of perfect cubesFind cube roots by reversing cube relationships and using prime factorisation.
Practice area
Skill: Solve square and cube application problemsUse square and cube relationships to solve arrangement, volume, and pattern problems.
Practice area
Chapter 2

Chapter 2: Power Play

Use powers, exponents, and scientific notation to represent and compare large and small quantities.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Powers and Exponents

3 skills
Skill: Write repeated multiplication using exponentsRepresent repeated multiplication as powers and interpret base and exponent correctly.
Practice area
Skill: Evaluate powers with whole-number exponentsCalculate values of powers accurately and compare exponential forms.
Practice area
Skill: Use zero and one as exponents and basesApply the meaning of zero exponent, exponent one, base one, and base zero in valid cases.
Practice area

Topic: Laws of Exponents

3 skills
Skill: Apply product law for powers with the same baseSimplify products of powers with the same base by adding exponents.
Practice area
Skill: Apply quotient law for powers with the same baseSimplify quotients of powers with the same base by subtracting exponents.
Practice area
Skill: Simplify powers raised to powersSimplify expressions where a power is raised to another power.
Practice area

Topic: Scientific Notation

2 skills
Skill: Write large numbers in scientific notationConvert large numbers into standard scientific notation and read them meaningfully.
Practice area
Skill: Compare quantities written in scientific notationCompare and order quantities expressed using powers of 10 and scientific notation.
Practice area
Chapter 3

Chapter 3: A Story of Numbers

Understand how number representation evolved and how place value enables efficient calculation and comparison.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Compare ancient and modern number representationsExplain how different number systems represent quantities and why place value is efficient.
Practice area
Skill: Read and write large numbers using place valueUse place value to read, write, expand, and compare large numbers.
Practice area
Skill: Represent numbers in expanded formExpress numbers as sums of place-value terms and powers of ten.
Practice area

Topic: Place Value Reasoning

3 skills
Skill: Explain the role of zero in place valueDescribe how zero changes number representation in the decimal place-value system.
Practice area
Skill: Compare numbers using place value structureCompare numbers by analysing digit positions rather than only counting digits.
Practice area
Skill: Round and estimate large quantitiesRound large numbers and use estimation to judge reasonableness in contexts.
Practice area
Skill: Decode simple non-decimal number patternsInterpret simple number patterns from alternative counting or grouping systems.
Practice area
Skill: Solve place-value puzzles with missing digitsUse place-value reasoning to solve missing-digit and number-construction puzzles.
Practice area
Chapter 4

Chapter 4: Quadrilaterals

Classify quadrilaterals and reason about their sides, angles, diagonals, and special properties.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Classify quadrilaterals using side and angle propertiesIdentify quadrilaterals such as trapeziums, parallelograms, rectangles, rhombi, squares, and kites from their properties.
Practice area
Skill: Distinguish necessary and sufficient properties of quadrilateralsDecide which properties are enough to identify a quadrilateral type and which are not.
Practice area
Skill: Use angle sum property of quadrilateralsFind missing angles using the angle sum of a quadrilateral.
Practice area
Skill: Use parallel-line angle relationships in quadrilateralsApply corresponding, alternate, and co-interior angle ideas when quadrilaterals contain parallel sides.
Practice area
Skill: Reason about exterior angles of polygonsUse exterior angle ideas to analyse turns and missing angles in polygon paths.
Practice area
Skill: Apply properties of parallelogramsUse opposite side, opposite angle, and diagonal properties of parallelograms in problems.
Practice area
Skill: Apply properties of rectangles, rhombi, and squaresSolve problems using the defining properties of rectangles, rhombi, and squares.
Practice area
Skill: Use diagonal properties to identify quadrilateralsIdentify quadrilaterals by analysing how their diagonals bisect, meet, or compare.
Practice area
Chapter 5

Chapter 5: Number Play

Use divisibility, digit patterns, parity, and logical number puzzles to reason about numbers.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Apply divisibility tests for 2, 3, 4, 5, 6, 9, 10, and 11Use divisibility tests to classify numbers and justify conclusions.
Practice area
Skill: Find factors and multiples efficientlyFind factors, multiples, common factors, and common multiples using systematic reasoning.
Practice area
Skill: Use prime factorisation in number puzzlesApply prime factorisation to solve puzzles about factors, multiples, and products.
Practice area
Skill: Write two-digit and three-digit numbers in general formRepresent numbers using variables for digits, such as 10a + b and 100a + 10b + c.
Practice area
Skill: Solve digit reversal and digit sum problemsUse algebraic place-value form to solve digit reversal and digit-sum puzzles.
Practice area
Skill: Find missing digits using divisibility rulesDetermine missing digits by combining place value and divisibility tests.
Practice area
Skill: Use parity to reason about number resultsPredict whether sums, products, and patterns are odd or even using parity.
Practice area
Skill: Generalise number-game patternsExplain why a number trick works by using variables and logical reasoning.
Practice area
Chapter 6

Chapter 6: We Distribute, Yet Things Multiply

Connect arithmetic and algebra through the distributive law, expansion, common factors, and mental calculation.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Use distributive law for mental multiplicationBreak numbers apart to multiply efficiently using the distributive law.
Practice area
Skill: Represent area models using distributive lawConnect rectangle area diagrams with distributive multiplication.
Practice area

Topic: Algebraic Expansion

3 skills
Skill: Expand simple algebraic expressions using distributive lawExpand expressions such as a(b + c) and connect the result to distribution.
Practice area
Skill: Expand products of binomials with area modelsUse area models to expand products of two binomials.
Practice area
Skill: Simplify expressions after expansionCombine like terms after applying the distributive law.
Practice area
Skill: Identify common factors in algebraic expressionsFind common numerical and algebraic factors in terms.
Practice area
Skill: Factorise expressions using reverse distributive lawRewrite expressions as a product by taking out a common factor.
Practice area
Skill: Choose efficient expansion or factorisation strategiesDecide whether expansion, factorisation, or mental distribution is most efficient for a calculation.
Practice area
Chapter 7

Chapter 7: Proportional Reasoning-1

Use ratios, rates, scaling, and direct proportion to compare quantities and solve real-life problems.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Write and simplify ratios from contextsExpress comparisons as ratios and simplify them to equivalent forms.
Practice area
Skill: Create equivalent ratios using scalingGenerate equivalent ratios by multiplying or dividing both terms by the same factor.
Practice area
Skill: Compare two ratios fairlyCompare ratios using common units, equivalent ratios, or cross multiplication.
Practice area

Topic: Rates and Unit Rates

2 skills
Skill: Find unit rates from real-life dataFind per-one values such as cost per item, distance per hour, or quantity per person.
Practice area
Skill: Use unit rates to choose better valueCompare offers, speeds, or efficiencies using unit rates.
Practice area
Skill: Identify direct proportion from tables and contextsDecide whether two quantities are directly proportional from patterns in data.
Practice area
Skill: Solve direct proportion problems by unitary methodUse the unitary method to solve scaling and direct-proportion problems.
Practice area
Skill: Solve map, recipe, and scale-drawing problemsApply proportional reasoning to maps, recipes, models, and drawings.
Practice area
Chapter 8

Chapter 8: Fractions in Disguise

Connect fractions, decimals, percentages, and financial contexts such as discount, tax, profit, and interest.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Convert between fractions, decimals, and percentagesConvert quantities between fraction, decimal, and percentage forms.
Practice area
Skill: Find a percentage of a quantityCalculate percentages of numbers in practical contexts.
Practice area
Skill: Find the whole from a given percentageWork backwards from a percentage value to find the original whole.
Practice area
Skill: Calculate percentage increase and decreaseFind percent increase or decrease between old and new values.
Practice area
Skill: Compare quantities using percentagesUse percentages to compare parts, changes, and groups fairly.
Practice area

Topic: Money Applications

3 skills
Skill: Solve discount and marked-price problemsCalculate sale price, discount amount, and marked price from percentage discount.
Practice area
Skill: Solve GST and tax percentage problemsCalculate tax, pre-tax price, or tax-inclusive price using percentages.
Practice area
Skill: Solve profit, loss, and interest problemsUse percentages to solve profit, loss, simple interest, and amount problems.
Practice area
Chapter 9

Chapter 9: The Baudhayana-Pythagoras Theorem

Use the right-triangle side relationship to solve geometric, measurement, and reasoning problems.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Identify right triangles and their sidesIdentify hypotenuse and legs of a right triangle in diagrams and contexts.
Practice area
Skill: Relate square areas on sides of right trianglesConnect the areas of squares drawn on triangle sides to side-length relationships.
Practice area

Topic: Using the Theorem

3 skills
Skill: Apply the Baudhayana-Pythagoras theorem to find hypotenuseFind the hypotenuse of a right triangle using the theorem.
Practice area
Skill: Apply the theorem to find a missing legFind a missing shorter side of a right triangle using the theorem.
Practice area
Skill: Recognize and use Pythagorean triplesIdentify and apply common right-triangle triples in problems.
Practice area
Skill: Use the converse to test for right trianglesDecide whether a triangle is right-angled by comparing side squares.
Practice area
Skill: Solve distance problems using right trianglesSolve ladder, diagonal, shortest-path, and map-distance problems using right triangles.
Practice area
Skill: Find distance between grid points using right trianglesUse horizontal and vertical differences to find distance between two points on a grid.
Practice area
Chapter 10

Chapter 10: Proportional Reasoning-2

Extend proportional reasoning to pie charts, inverse proportion, compound rates, and multi-step comparisons.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Convert data values into pie-chart anglesCalculate sector angles from parts of a whole.
Practice area
Skill: Interpret pie charts using fractions and percentagesRead sector sizes and calculate values represented by pie-chart data.
Practice area
Skill: Judge conclusions from proportional data displaysDecide which conclusions are supported by a pie chart or proportional data display.
Practice area

Topic: Inverse Proportion

3 skills
Skill: Identify inverse proportion from contextsRecognize situations where one quantity increases as another decreases in a fixed product relationship.
Practice area
Skill: Solve inverse proportion problemsUse inverse proportion to solve work, speed, time, and sharing problems.
Practice area
Skill: Compare direct and inverse proportional relationshipsDistinguish direct proportion from inverse proportion using tables, equations, and context.
Practice area
Skill: Solve multi-step rate and proportion problemsCombine rates, ratios, and proportional scaling in two-step contexts.
Practice area
Skill: Complete proportion tables with missing valuesFind missing values in direct or inverse proportion tables.
Practice area
Chapter 11

Chapter 11: Exploring Some Geometric Themes

Visualise solids, nets, cross-sections, shortest paths, fractal patterns, and spatial relationships.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: 3D Solids and Nets

3 skills
Skill: Identify faces, edges, and vertices of solidsCount and classify faces, edges, and vertices of common solids.
Practice area
Skill: Match solids with their netsIdentify which nets fold into cubes, cuboids, prisms, and pyramids.
Practice area
Skill: Apply Euler's formula to polyhedraUse F + V = E + 2 to test and reason about polyhedra.
Practice area
Skill: Draw top, front, and side views of solidsRepresent three-dimensional objects through top, front, and side views.
Practice area
Skill: Interpret 3D arrangements from 2D viewsUse multiple 2D views to reason about possible 3D arrangements.
Practice area
Skill: Find shortest paths on surfacesUnfold surfaces to reason about shortest paths on solids.
Practice area
Skill: Recognize self-similar fractal patternsIdentify repeated self-similar patterns and describe how they grow.
Practice area
Skill: Extend geometric patterns using rulesPredict later stages of geometric patterns using visual and numerical rules.
Practice area
Chapter 12

Chapter 12: Tales by Dots and Lines

Use mean, dot plots, line graphs, and coordinate displays to summarise and interpret data.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Mean and Data Balance

3 skills
Skill: Find arithmetic mean of a data setCalculate the mean and interpret it as a fair share or balance point.
Practice area
Skill: Use mean to find a missing valueFind an unknown data value when the mean and other values are known.
Practice area
Skill: Compare data sets using meanUse mean to compare groups while recognizing limitations of average values.
Practice area
Skill: Read and create dot plotsRepresent small data sets using dots and read frequencies from dot plots.
Practice area
Skill: Describe spread and clusters in dot plotsIdentify clusters, gaps, and spread in dot plots.
Practice area

Topic: Line Graphs and Trends

3 skills
Skill: Read values from line graphsExtract exact and approximate values from line graphs.
Practice area
Skill: Interpret trends and changes in line graphsDescribe increase, decrease, constancy, and rate of change from line graphs.
Practice area
Skill: Create line graphs from tablesPlot ordered data from a table and connect points meaningfully when appropriate.
Practice area
Chapter 13

Chapter 13: Algebra Play

Use variables, expressions, equations, identities, and modelling to describe and solve mathematical situations.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Use variables to represent unknown quantitiesRepresent unknown or changing quantities with variables.
Practice area
Skill: Form algebraic expressions from situationsTranslate verbal, geometric, and real-life situations into algebraic expressions.
Practice area
Skill: Identify terms, coefficients, and like termsIdentify terms, coefficients, constants, and like terms in expressions.
Practice area
Skill: Add and subtract algebraic expressionsCombine like terms to add or subtract algebraic expressions.
Practice area
Skill: Multiply algebraic expressions using distributionMultiply monomials and simple polynomials using distributive reasoning.
Practice area
Skill: Use algebraic identities to simplify expressionsApply standard identities to expand or simplify expressions efficiently.
Practice area
Skill: Solve linear equations in one variableSolve one-variable linear equations using balanced operations.
Practice area
Skill: Model real-life situations with equationsCreate and solve equations for age, cost, distance, and quantity contexts.
Practice area
Chapter 14

Chapter 14: Area

Find and reason about areas of triangles, quadrilaterals, and composite shapes using decomposition and formulas.

3 topics8 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Area of Triangles

3 skills
Skill: Find area of triangles using base and heightCalculate triangle area from base and perpendicular height.
Practice area
Skill: Choose correct base-height pairs in trianglesIdentify valid base and height pairs in different triangle orientations.
Practice area
Skill: Compare triangle areas on the same base or heightCompare triangle areas using equal bases, equal heights, or both.
Practice area

Topic: Area of Quadrilaterals

3 skills
Skill: Find area of parallelogramsUse base and height to calculate area of parallelograms.
Practice area
Skill: Find area of trapeziumsCalculate trapezium area using the lengths of parallel sides and height.
Practice area
Skill: Find area of rhombi and kites using diagonalsUse diagonal lengths to find area of rhombi and kites.
Practice area
Skill: Find area by decomposing composite figuresBreak complex shapes into known shapes to calculate total or remaining area.
Practice area
Skill: Solve area-based cost and design problemsUse area calculations in tiling, flooring, painting, design, and land-measurement contexts.
Practice area

Practice options

Use worksheets and assignments to move from curriculum review into practice.

12 questions

A Square and A Cube: Practice 1

Progressive Grade 8 Math practice for A Square and A Cube covering Cube Numbers and Cube Roots, Square Numbers and Patterns, Square Roots and Estimation.

Preview assignment
12 questions

Number Power Lab: Squares, Cubes and Patterns

A Grade 8 Math preview assignment that helps students practise squares, cubes, roots, rational numbers, and number patterns through quick reasoning questions.

Preview assignment
12 questions

A Square and A Cube: Practice 2

Progressive Grade 8 Math practice for A Square and A Cube covering Cube Numbers and Cube Roots, Square Numbers and Patterns, Square Roots and Estimation.

Preview assignment

After sign-in

Track progress and get recommended practice.

Completed topicsMastery and gapsFocused assignmentsPractice recommendations

Launch Plus

Get Plus access free during launch to track progress and get recommended practice.

Sign up to track progress and get recommended practice based on the skills your child is working on.