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Grade-wise curriculum

CBSE Grade 7 Mathematics Curriculum and Practice

Chapter-wise Grade 7 Mathematics practice aligned to the CBSE curriculum. Explore topics, skills, worksheets, and assignments for Large Numbers Around Us, Arithmetic Expressions, A Peek Beyond the Point, Expressions using Letter-Numbers, Parallel and Intersecting Lines, and Number Play, and more.

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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: Large Numbers Around Us

Read, compare, estimate and use large numbers in Indian and international place-value contexts.

4 topics12 skillsWorksheets available
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Skill: Read and write lakh and crore numbersRead and write large numbers using periods, commas and number names in the Indian system.
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Skill: Convert between numerals and number namesConvert large numerals to number names and number names to numerals accurately.
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Skill: Identify place value in large numbersFind the place value and face value of digits in numbers up to crores.
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Skill: Read and write million and billion numbersRead and write large numbers using thousands, millions and billions.
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Skill: Compare Indian and international systemsRelate lakhs/crores with millions/billions and avoid common period-placement errors.
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Skill: Use commas correctly in both systemsPlace commas correctly for Indian and international notation.
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Topic: Comparing and Ordering

3 skills
Skill: Compare large numbersCompare large numbers using place value rather than number length alone.
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Skill: Order large numbersArrange large numbers in ascending or descending order from real-life data.
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Skill: Find numbers between two large numbersIdentify possible whole numbers that lie between two given large numbers.
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Skill: Round large numbers to useful placesRound numbers to nearest ten, hundred, thousand, lakh or million as required.
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Skill: Estimate sums and differencesUse rounded numbers to estimate totals and differences in practical contexts.
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Skill: Judge reasonableness of large-number answersCheck whether a large-number result is reasonable using estimation.
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Chapter 2

Chapter 2: Arithmetic Expressions

Build, read, evaluate and simplify arithmetic expressions using order of operations and brackets.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Reading Expressions

3 skills
Skill: Identify terms and operations in expressionsRecognize numbers, operations and grouping symbols in arithmetic expressions.
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Skill: Translate word phrases into arithmetic expressionsConvert short real-life statements into arithmetic expressions with correct operations.
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Skill: Read expressions without ambiguityInterpret expressions carefully so the order of operations is clear.
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Topic: Order of Operations

3 skills
Skill: Evaluate expressions with addition and subtractionEvaluate multi-step expressions involving addition and subtraction in the correct order.
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Skill: Evaluate expressions with multiplication and divisionUse multiplication and division correctly before addition and subtraction where required.
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Skill: Apply order of operations with mixed operationsEvaluate expressions containing mixed operations using standard precedence.
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Topic: Brackets and Grouping

3 skills
Skill: Evaluate expressions with bracketsSolve expressions containing brackets before outside operations.
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Skill: Choose brackets to match a situationPlace brackets to represent a stated calculation accurately.
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Skill: Compare expressions with and without bracketsExplain how brackets can change the value of an expression.
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Topic: Expression Reasoning

3 skills
Skill: Identify equivalent arithmetic expressionsRecognize when two arithmetic expressions have the same value without full computation.
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Skill: Find missing numbers in expressionsUse inverse operations and reasoning to find missing values in arithmetic expressions.
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Skill: Detect errors in expression evaluationFind and correct common order-of-operations mistakes.
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Chapter 3

Chapter 3: A Peek Beyond the Point

Understand decimal place value and add/subtract decimals in measurement and money contexts.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Decimal Place Value

3 skills
Skill: Read decimals using place valueRead decimal numbers using tenths, hundredths and thousandths.
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Skill: Represent decimals on place-value chartsShow decimal numbers correctly in place-value charts.
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Skill: Compare decimals using place valueCompare decimal numbers by aligning place values rather than counting digits.
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Skill: Locate decimals on number linesPlace decimal numbers accurately between whole numbers on a number line.
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Skill: Order decimal numbersArrange decimals in increasing or decreasing order using number-line or place-value reasoning.
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Skill: Find decimals between two decimalsGenerate decimal numbers that lie between two given decimal values.
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Topic: Decimal Addition

3 skills
Skill: Add decimals by aligning place valuesAdd decimal numbers by aligning decimal points and place values.
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Skill: Add decimals in measurement contextsSolve practical addition problems involving money, length, mass or capacity.
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Skill: Estimate decimal sumsEstimate decimal sums to judge whether exact answers are reasonable.
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Topic: Decimal Subtraction

3 skills
Skill: Subtract decimals by aligning place valuesSubtract decimal numbers after aligning decimal points correctly.
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Skill: Use zero placeholders in decimal subtractionInsert zeros where needed to subtract decimals accurately.
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Skill: Solve decimal difference problemsFind differences between decimal quantities in real-life contexts.
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Chapter 4

Chapter 4: Expressions using Letter-Numbers

Introduce algebraic thinking through variables, letter-numbers, expressions and substitution.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Interpret letters as numbersUnderstand that letters can stand for unknown or changing numbers.
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Skill: Use variables to describe quantitiesChoose variables to represent quantities in patterns or word situations.
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Skill: Distinguish variables from units and labelsAvoid confusing algebraic letters with measurement units or object labels.
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Skill: Write expressions from word phrasesTranslate mathematical phrases into expressions using variables.
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Skill: Write expressions for real-life rulesRepresent simple real-life rules using letter-numbers.
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Skill: Use coefficients correctlyUnderstand and use forms like $3x$, $x+5$ and $2a-1$ correctly.
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Topic: Evaluating Expressions

3 skills
Skill: Substitute values into expressionsEvaluate algebraic expressions for given values of variables.
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Skill: Evaluate expressions with two variablesSubstitute and calculate values of expressions involving two variables.
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Skill: Check expression values using arithmeticVerify algebraic expression values by careful arithmetic.
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Topic: Expression Patterns

3 skills
Skill: Describe number patterns using expressionsUse variables to describe growing or repeating numerical patterns.
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Skill: Compare algebraic expressionsIdentify whether expressions are equivalent for given values.
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Skill: Detect errors in algebraic translationFind and correct common mistakes when translating words into expressions.
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Chapter 5

Chapter 5: Parallel and Intersecting Lines

Study lines, angles, parallel lines and intersecting-line relationships through drawing and reasoning.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Lines and Angles

3 skills
Skill: Identify points, lines, rays and segmentsRecognize and name basic geometric elements accurately.
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Skill: Classify angle typesClassify acute, right, obtuse, straight and reflex angles.
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Skill: Measure and draw anglesUse a protractor to measure and draw angles accurately.
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Topic: Intersecting Lines

3 skills
Skill: Identify adjacent and vertically opposite anglesRecognize angle pairs formed by intersecting lines.
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Skill: Use vertically opposite angle equalityFind missing angles using equality of vertically opposite angles.
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Skill: Use linear pair relationshipsFind missing angles where two adjacent angles form a straight angle.
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Skill: Identify corresponding anglesRecognize corresponding angles when a transversal cuts parallel lines.
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Skill: Identify alternate interior anglesRecognize alternate interior angles in parallel-line diagrams.
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Skill: Use parallel-line angle relationshipsFind missing angles using corresponding and alternate angle properties.
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Topic: Geometric Reasoning

3 skills
Skill: Justify angle relationshipsGive short reasons for angle conclusions in line diagrams.
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Skill: Spot false parallel-line reasoningIdentify common mistakes when parallel-line conditions are not given.
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Skill: Apply line-angle facts in patternsUse line and angle relationships in tiled, folded or patterned figures.
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Chapter 6

Chapter 6: Number Play

Use puzzles and patterns to develop number sense, parity, sequences and computational thinking.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Number Patterns

3 skills
Skill: Extend number patternsFind the next terms in arithmetic or structured number patterns.
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Skill: Describe pattern rulesState the rule behind a number pattern in words or expressions.
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Skill: Create patterns from rulesGenerate number sequences from given rules.
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Skill: Classify numbers by parityIdentify even and odd numbers and explain why.
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Skill: Predict parity of sums and productsPredict whether sums and products will be even or odd.
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Skill: Solve parity puzzlesUse even-odd reasoning to solve number puzzles.
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Skill: Explore Fibonacci-like sequencesGenerate terms where each term depends on previous terms.
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Skill: Find missing terms in recursive patternsUse previous terms to find missing numbers in sequence puzzles.
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Skill: Compare recursive and fixed-step patternsDistinguish patterns based on repeated addition from patterns based on previous terms.
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Skill: Solve digit puzzles using place valueUse place value and logical constraints to solve digit puzzles.
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Skill: Use trial and refinement systematicallyApply organized trial, checking and elimination in number puzzles.
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Skill: Explain puzzle-solving strategiesDescribe why a solution works and why alternatives fail.
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Chapter 7

Chapter 7: A Tale of Three Intersecting Lines

Explore triangle angle and side relationships through construction, observation and reasoning.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Triangle Basics

3 skills
Skill: Identify parts of a triangleRecognize vertices, sides, angles and opposite side-angle pairs in triangles.
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Skill: Classify triangles by sidesClassify triangles as scalene, isosceles or equilateral.
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Skill: Classify triangles by anglesClassify triangles as acute, right or obtuse.
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Skill: Use triangle angle-sum propertyFind missing angles using the sum of angles in a triangle.
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Skill: Use exterior-angle relationshipFind exterior angles using the sum of the two opposite interior angles.
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Skill: Detect impossible triangle anglesIdentify angle measures that cannot form a triangle.
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Skill: Apply triangle inequalityCheck whether three side lengths can form a triangle.
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Skill: Find possible third-side rangesDetermine possible values of a missing side length using triangle inequality.
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Skill: Relate side lengths and anglesConnect larger angles with longer opposite sides in triangles.
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Skill: Construct triangles from given conditionsConstruct triangles using suitable side and angle information.
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Skill: Judge uniqueness of triangle constructionDecide whether given measurements determine a unique triangle.
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Skill: Analyze errors in triangle diagramsFind mistakes in labelled triangle diagrams or constructions.
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Chapter 8

Chapter 8: Working with Fractions

Strengthen fraction sense and operate with fractions using models, rules and real-life contexts.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Represent fractions using modelsShow fractions with area, length or set models.
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Skill: Find equivalent fractionsGenerate and recognize equivalent fractions by multiplying or dividing numerator and denominator.
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Skill: Simplify fractionsReduce fractions to simplest form using common factors.
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Skill: Compare like and unlike fractionsCompare fractions using common denominators, benchmarks or cross reasoning.
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Skill: Order fractions on a number linePlace fractions accurately on a number line.
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Skill: Use benchmark fractionsCompare fractions with benchmarks such as $0$, $ rac{1}{2}$ and $1$.
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Skill: Multiply a fraction by a whole numberInterpret and calculate repeated groups of fractional quantities.
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Skill: Multiply two fractionsCalculate and interpret products of two fractions.
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Skill: Solve fraction multiplication word problemsUse fraction multiplication in sharing, scaling and measurement problems.
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Topic: Division of Fractions

3 skills
Skill: Divide whole numbers by fractionsInterpret how many fractional parts fit into a whole number.
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Skill: Divide fractions by whole numbersShare fractional quantities into equal parts.
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Skill: Solve fraction division word problemsChoose and apply fraction division in practical contexts.
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Chapter 9

Chapter 9: Geometric Twins

Understand congruence of plane figures and triangles using superposition and matching parts.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Congruent Figures

3 skills
Skill: Identify congruent plane figuresRecognize figures that have the same shape and size.
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Skill: Use superposition ideaExplain congruence by matching one figure exactly over another.
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Skill: Distinguish congruent from similar-looking figuresAvoid calling figures congruent when size or shape differs.
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Topic: Corresponding Parts

3 skills
Skill: Match corresponding sides and anglesIdentify corresponding parts in congruent figures.
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Skill: Use congruent notation meaningfullyRead and interpret congruence statements in correct order.
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Skill: Find missing measures using congruenceUse corresponding equal parts to find unknown side or angle measures.
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Skill: Apply SSS congruenceDecide triangle congruence using three equal corresponding sides.
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Skill: Apply SAS congruenceDecide triangle congruence using two sides and included angle.
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Skill: Apply ASA or AAS congruenceDecide triangle congruence using suitable angle-side information.
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Topic: Congruence Reasoning

3 skills
Skill: Select a valid congruence testChoose the correct congruence condition from given measurements.
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Skill: Reject insufficient congruence informationIdentify when given information is not enough to prove congruence.
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Skill: Solve congruence-based reasoning problemsUse congruent triangles to justify equal sides or angles.
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Chapter 10

Chapter 10: Operations with Integers

Multiply, divide and reason with positive and negative integers in numerical and contextual situations.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Represent integers on a number lineLocate positive and negative integers accurately on a number line.
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Skill: Compare and order integersCompare integers using number-line position and signs.
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Skill: Interpret integers in contextsUse integers to represent gain/loss, temperature, depth or direction contexts.
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Skill: Add integers with same and different signsAdd signed numbers using rules and number-line reasoning.
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Skill: Subtract integers using additive inverseRewrite subtraction as addition of the opposite integer.
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Skill: Solve integer change problemsApply integer addition and subtraction to real-life changes.
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Topic: Integer Multiplication

3 skills
Skill: Multiply integers with signsUse sign rules to multiply positive and negative integers.
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Skill: Interpret integer multiplication patternsRecognize multiplication sign patterns through repeated reasoning.
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Skill: Solve signed multiplication word problemsApply integer multiplication to repeated gain/loss or directional contexts.
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Topic: Integer Division

3 skills
Skill: Divide integers with signsUse sign rules to divide positive and negative integers.
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Skill: Handle zero correctly in integer divisionRecognize allowed and undefined cases involving zero.
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Skill: Solve mixed integer operation problemsEvaluate expressions involving multiple integer operations.
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Chapter 11

Chapter 11: Finding Common Ground

Develop factors, multiples, prime factorisation, HCF and LCM for number reasoning and applications.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Factors and Multiples

3 skills
Skill: List factors of numbersFind all factors of a given number systematically.
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Skill: List multiples of numbersGenerate multiples and use them to solve pattern problems.
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Skill: Distinguish factors from multiplesAvoid common confusion between factors and multiples.
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Skill: Identify prime and composite numbersClassify numbers by number of factors.
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Skill: Use divisibility testsApply divisibility rules for $2$, $3$, $5$, $9$, $10$ and related cases.
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Skill: Prime factorise numbersExpress numbers as products of prime factors.
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Topic: HCF and LCM

3 skills
Skill: Find HCF using factor methodsFind highest common factor through lists or prime factors.
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Skill: Find LCM using multiple or factor methodsFind least common multiple through lists or prime factors.
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Skill: Compare HCF and LCM meaningsChoose HCF or LCM based on whether a problem asks for grouping or repetition.
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Skill: Solve equal-grouping problems using HCFUse HCF to divide quantities into the largest equal groups.
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Skill: Solve repeating-event problems using LCMUse LCM to find when cycles or events meet again.
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Skill: Check HCF-LCM answers for reasonablenessVerify that HCF divides and LCM is a common multiple of given numbers.
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Chapter 12

Chapter 12: Another Peek Beyond the Point

Extend decimal understanding to multiplication, division and practical decimal calculations.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Multiply decimals by whole numbersCalculate products of decimals and whole numbers using place value.
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Skill: Estimate decimal productsEstimate products before exact calculation.
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Skill: Solve decimal scaling problemsUse decimal multiplication in price, length, mass or capacity contexts.
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Skill: Multiply decimals by decimalsMultiply decimal numbers and place the decimal point correctly.
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Skill: Interpret decimal products less than factorsExplain why multiplying by a number less than $1$ can reduce a value.
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Skill: Detect decimal-point placement errorsIdentify and fix common decimal multiplication errors.
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Skill: Divide decimals by whole numbersDivide decimal quantities equally by whole numbers.
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Skill: Use zeros in decimal divisionAdd zero placeholders to complete division accurately.
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Skill: Solve sharing problems with decimalsApply decimal division to equal sharing and rate situations.
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Skill: Divide decimals by powers of $10$Shift decimal place correctly when dividing by $10$, $100$ or $1000$.
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Skill: Solve unit-rate problems with decimalsFind cost per unit, speed, or measurement rates involving decimals.
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Skill: Judge reasonableness in decimal calculationsUse estimation to catch misplaced decimal answers.
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Chapter 13

Chapter 13: Connecting the Dots

Collect, organize, interpret and summarize data using mean, median, mode and suitable representations.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Classify data typesDistinguish numerical and categorical data in simple situations.
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Skill: Organize data in tablesArrange raw data into frequency tables.
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Skill: Choose suitable data displaysSelect tables, pictographs, bar graphs or line plots for given data.
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Topic: Mean

3 skills
Skill: Calculate mean of a data setFind average by dividing total by number of values.
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Skill: Interpret mean in contextExplain what mean represents in a real-life data set.
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Skill: Find missing value using meanUse a known mean to determine a missing data value.
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Topic: Median and Mode

3 skills
Skill: Find median of ordered dataIdentify the middle value after arranging data.
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Skill: Find mode of a data setIdentify the most frequent value or category.
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Skill: Compare mean, median and modeChoose the most meaningful measure for a data context.
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Topic: Data Interpretation

3 skills
Skill: Read information from graphsAnswer questions using values represented in graphs or tables.
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Skill: Identify misleading data summariesSpot summaries that do not represent the data fairly.
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Skill: Make conclusions from dataUse data summaries to support simple conclusions.
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Chapter 14

Chapter 14: Constructions and Tilings

Use ruler-compass constructions and tiling patterns to reason about shapes, angles and designs.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in
Skill: Construct line segments of given lengthDraw line segments accurately using ruler and compass.
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Skill: Construct circles and arcsUse compass settings to draw circles and arcs with given radius.
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Skill: Copy a line segment or angleReproduce given lengths or angles using construction tools.
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Skill: Construct triangles from side dataConstruct triangles when suitable side lengths are given.
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Skill: Construct angles using geometric toolsConstruct standard or given angles with accuracy.
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Skill: Check construction validityVerify that constructed figures meet the given measurements.
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Skill: Identify shapes that tile a planeRecognize shapes that can cover a plane without gaps or overlaps.
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Skill: Analyze angle sums around a pointUse angles around a point to reason about tiling.
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Skill: Create repeating tiling patternsBuild and describe patterns using congruent shapes.
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Topic: Design and Reasoning

3 skills
Skill: Use symmetry in tiling designsIdentify and apply line or rotational symmetry in patterns.
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Skill: Explain why a tiling worksJustify a tiling using shape and angle reasoning.
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Skill: Find errors in construction or tilingSpot measurement or placement errors in geometric designs.
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Chapter 15

Chapter 15: Finding the Unknown

Use variables, equations and inverse operations to represent and solve unknown-value problems.

4 topics12 skillsWorksheets available
Practice questionsWorksheets availableMore practice coming soonProgress tracking after sign-in

Topic: Equation Meaning

3 skills
Skill: Interpret an equation as a balanceUnderstand that both sides of an equation have equal value.
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Skill: Identify unknowns in equationsRecognize the variable or missing value to be found.
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Skill: Distinguish expressions from equationsTell whether a statement has an equality relation or only an expression.
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Skill: Solve one-step addition and subtraction equationsUse inverse operations to solve equations like $x+5=12$.
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Skill: Solve one-step multiplication and division equationsUse inverse operations to solve equations like $4x=28$ or $x/3=5$.
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Skill: Check solutions by substitutionSubstitute the found value back into the equation to verify it.
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Topic: Two-Step Equations

3 skills
Skill: Solve two-step equationsSolve equations requiring two inverse-operation steps.
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Skill: Handle equations with negative integersSolve simple equations involving signed numbers.
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Skill: Detect errors in equation solvingFind and correct common mistakes in balancing or inverse operations.
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Skill: Translate word problems into equationsRepresent unknown quantities from real-life situations using equations.
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Skill: Solve and interpret equation word problemsSolve equations and state answers in context with units where needed.
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Skill: Create equations from patternsBuild equations to find missing numbers in simple patterns or puzzles.
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Practice options

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

12 questions

Integer Missions and Rational Number Challenges

A high-value Grade 7 Math preview assignment where students practise integers, fractions, decimals, and rational numbers through everyday problem situations.

Preview assignment
12 questions

Algebra Codes, Lines and Angle Puzzles

A smart Grade 7 Math assignment that makes algebra and geometry feel like puzzles. Students solve equations, recognise angle relationships, and reason step by step.

Preview assignment
12 questions

Large Numbers Around Us Practice 1: Indian Place Value System and International Place Value System

Focused Grade 7 Ganita Prakash practice for Large Numbers Around Us, covering Indian Place Value System, International Place Value System.

Preview assignment

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