NCERT Class 7 Maths
Class 7 Maths: Ganita Prakash chapter-wise practice
Ganita Prakash asks children to notice patterns, try things out and explain why, which is very different from the old routine of twenty similar sums. The practice follows the book's order and its kind of questions. Hands-on activities let your child build fractions, draw constructions and test number patterns before the questions start.
- 15 chapters
- 645 practice questions
- 2 books
Ganita Prakash Part I
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Chapter 1 Large Numbers Around Us
Build a feel for lakhs and crores using rice varieties, populations, heights, place value, estimates and quick product patterns. Learn to read, compare, approximate and reason with large numbers around us.
Topics: One lakh in real life, Comparing large measures, Indian place value, Building numbers with tens, Lakhs, crores and international names, Exact and approximate values, Patterns in products and digits
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Chapter 2 Arithmetic Expressions
Learn to read, compare and evaluate arithmetic expressions by using values, contexts, brackets, terms, swapping and grouping. Turn everyday situations into expressions and choose efficient ways to calculate them.
Topics: Expressions and values, Comparing expressions, Brackets and context, Terms and subtraction, Swapping and grouping, Products, quotients and distribution, Writing expressions from situations
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Chapter 3 A Peek Beyond the Point
Move beyond whole units by measuring tenths, hundredths and thousandths. Read, compare, locate, add, subtract and convert decimal numbers in measurement situations.
Topics: Need for smaller units, Tenths and mixed lengths, Hundredths and thousandths, Decimal notation and place value, Measurement unit conversions, Locating and comparing decimals, Adding, subtracting and estimating decimals, Equivalent and expanded decimals
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Chapter 4 Expressions Using Letter-Numbers
Use letters to stand for numbers in ages, matchstick patterns, costs, perimeters and repeating designs. Evaluate, simplify and explain algebraic expressions by keeping track of terms and relationships.
Topics: Letter-numbers and relationships, Formulas from situations, Substitution and values, Writing expressions neatly, Like terms and simplification, Distributive thinking, Patterns and general rules
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Chapter 5 Parallel and Intersecting Lines
Explore intersecting, perpendicular and parallel lines by reasoning with angles. Use transversals, corresponding angles and alternate angles to decide when lines are parallel and to solve angle puzzles.
Topics: Intersecting lines and angle pairs, Perpendicular lines and measurement, Parallel lines and notation, Transversals and corresponding angles, Alternate and interior angles, Drawing and solving with parallels
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Chapter 6 Number Play
Play detective with arrangements, parity, grids, magic squares, Virahāṅka, Fibonacci rhythms and digit puzzles. The chapter shows how small rules can prove that some answers are possible and others are impossible.
Topics: Numbers in a height line, Parity of sums and differences, Parity of products and expressions, Grid row and column sums, Magic squares, Virahāṅka, Fibonacci numbers, Digits in disguise
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Chapter 7 A Tale of Three Intersecting Lines
Construct triangles from sides and angles, decide when a triangle can exist, and reason about angle sums, exterior angles, altitudes and triangle types.
Topics: Triangle names and equilateral construction, SSS construction, Triangle inequality, Two sides and the included angle, Two angles, included side and angle sum, Exterior angles and altitudes, Types of triangles
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Chapter 8 Working with Fractions
Multiply and divide fractions through distance, sharing, area and reciprocal ideas. Learn to simplify products, compare product size, and solve real-life fraction problems.
Topics: Fraction times a whole number, Fraction times fraction visually, Multiplying and simplifying fractions, Size and order of products, Division and reciprocals, Fraction word problems, Fractional areas and history
Ganita Prakash Part II
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Chapter 1 Geometric Twins
Learn when figures and triangles are exact geometric twins. Use congruence conditions to justify constructions, correspondences and angle facts in isosceles and equilateral triangles.
Topics: Congruent figures and exact replicas, Triangle correspondence and SSS, SAS and the SSA warning, ASA, AAS and RHS congruence, Isosceles and equilateral angle facts, Using congruence in designs and proofs
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Chapter 2 Operations with Integers
Extend addition and subtraction of integers to multiplication, division and expressions. Use carrom movement, tokens, patterns and real contexts like tests, lifts and mining elevators.
Topics: Sum-difference integer puzzles, Integer movement and token subtraction, Integer multiplication with tokens, Sign rules and multiplication patterns, Integer division and applications, Integer expressions and properties
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Chapter 3 Finding Common Ground
Use factors, multiples and prime factorisation to find HCF and LCM. Connect the ideas to tiles, rice bags, torans, calendar-like repeats and number properties.
Topics: Common factors and HCF in contexts, Primes and prime factorisation, Factors from prime factorisation, HCF using prime factorisation, LCM using multiples and primes, HCF-LCM properties and efficient procedures
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Chapter 4 Another Peek Beyond the Point
Multiply and divide decimals using place value, fractions and long division. Explore product size, decimal divisors, repeating decimals, unit conversions and leap-year calculations.
Topics: Decimal place value and powers of ten, Decimal multiplication procedure, Product size and decimal applications, Decimal division and long division, Decimal divisors and never-ending quotients, Leap-year and mixed decimal reasoning
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Chapter 5 Connecting the Dots
Learn how data answers statistical questions through mean, median, range, dot plots and clustered bar graphs. Use these tools to make careful claims and ask better questions.
Topics: Statistical questions and statements, Mean as average and fair share, Median and outliers, Minimum, maximum, range and dot plots, Clustered bar graphs, Data detective claims
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Chapter 6 Constructions and Tilings
Use ruler-and-compass ideas to make perpendicular bisectors, angle bisectors, copied angles, regular hexagons and geometric designs. Then reason about tilings, dominoes and why some regions cannot be tiled.
Topics: Perpendicular bisector and equal distances, Constructing perpendiculars and right angles, Angle bisection and copying angles, Sixty degrees, hexagons and stars, Tangrams and domino tilings, Colouring arguments and plane tilings
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Chapter 7 Finding the Unknown
Turn balances, matchstick patterns, number tricks and real-life situations into equations. Solve them by doing equal operations on both sides and always check the unknown value.
Topics: Unknowns from balances, Equations from patterns, Operations that preserve equality, Solving and checking linear equations, Forming equations for word problems, Mistakes, history and equation making
Where does the study time go?
Middle school days are long. Six subjects, projects, the commute and often tuition in the evening. Children spend plenty of hours on studies but get very little quiet time to study on their own, and a gap in one chapter quietly carries over into the next.
Tuition is fine, and plenty of children need it. But a tutor with eight or ten children in one batch cannot sit with each of them, and cannot always keep track of what the school did that week. Sometimes the tuition follows its own order of chapters, the child ends up juggling two plans for the same subject, and the confusion shows up in the next test.
NoTuition.in gives that small window some shape: the chapter your child is doing in school, a short activity, practice that explains every mistake, and a clear view for you of what needs work.
Practise Class 7 Maths the way the book teaches it
The free plan opens one full chapter in every subject, so you can see how your child gets on before you pay anything.