Free · New NCERT book 2026-27

NCERT Solutions for Class 7 Maths (Ganita Prakash)

Step-by-step answers to every "Figure it Out" question of the new Class 7 Maths textbook Ganita Prakash, Part 1 and Part 2, explained clearly with neat diagrams where they help.

Part 1

2 Arithmetic Expressions Expressions

2.1 Simple Expressions 1 QFigure it Out (page 25) 2 QComparing Expressions 1 Q2.2 Terms in Expressions 7 QFigure it Out (page 34) 3 QTinker the Terms I 1 QFigure it Out (page 37) 9 QRemoving Brackets — II 2 QTinker the Terms II 1 QFigure it Out (page 41) 4 QFigure it Out (page 42) 6 QPuzzle: Expression Engineer! 3 Q

3 A Peek Beyond the Point Decimals

3.1 The Need for Smaller Units 3 Q3.2 A Tenth Part 7 Q3.3 A Hundredth Part 7 QFigure it Out (page 58) 1 Q3.4 Decimal Place Value 4 Q3.5 Units of Measurement 4 Q3.6 Locating and Comparing Decimals 7 Q3.7 Addition and Subtraction of Decimals 1 QFigure it Out (page 75) 2 QDecimal Sequences 1 QEstimating Sums and Differences 1 Q3.8 More on the Decimal System 1 QFigure it Out (page 78) 16 Q

4 Expressions using Letter-Numbers Algebra

4.1 The Notion of Letter-Numbers 2 QFigure it Out (page 84) 7 Q4.2 Revisiting Arithmetic Expressions 1 Q4.3 Omission of the Multiplication Symbol 1 QMind the Mistake, Mend the Mistake (page 87) 1 Q4.4 Simplification of Algebraic Expressions 4 QFigure it Out (page 93) 2 QMind the Mistake, Mend the Mistake (page 94) 2 Q4.5 Pick Patterns and Reveal Relationships 3 QPatterns in a Calendar 1 QMatchstick Patterns 1 QFigure it Out (page 102) 15 Q

5 Parallel and Intersecting Lines Geometry

5.1 Across the Line 1 QFigure it Out (page 108) 1 Q5.2 Perpendicular Lines 1 Q5.3 Between Lines 2 Q5.4 Paper Folding (Activity 2) 2 QFigure it Out (page 113) 5 Q5.5 Transversals 1 Q5.7 Drawing Parallel Lines 1 QFigure it Out (page 119) 2 Q5.8 Alternate and Interior Angles 1 QFigure it Out (page 123) 6 Q5.9 Parallel Illusions 1 Q

6 Number Play Numbers

6.1 Numbers Tell us Things 1 QFigure it Out (page 128) 2 Q6.2 Picking Parity 2 QFigure it Out (page 131) 3 QSmall Squares in Grids 1 QParity of Expressions 1 Q6.3 Some Explorations in Grids 2 QMagic Squares 1 QFigure it Out (page 136) 5 QGeneralising a 3 × 3 Magic Square 1 QFigure it Out (page 137) 5 QThe Chautīsā Yantra 2 Q6.4 Virahāṅka–Fibonacci Numbers 3 Q6.5 Digits in Disguise 1 QFigure it Out (page 143) 12 Q

7 A Tale of Three Intersecting Lines Triangles

Introduction 1 Q7.1 Equilateral Triangles 1 Q7.2 Constructing a Triangle When its Sides are Given 1 QFigure it Out (page 150) 2 QAre Triangles Possible for any Lengths? 2 QFigure it Out (page 154) 4 QFigure it Out (page 156) 1 QVisualising the Circles 1 QFigure it Out (page 159) 3 Q7.3 Two Sides and the Included Angle 2 QTwo Angles and the Included Side 2 QFigure it Out (page 163) 3 QFigure it Out (page 165) 3 QExterior Angles 1 Q7.4 Altitudes of Triangles 2 Q7.5 Types of Triangles 1 QFigure it Out (page 170) 4 QPuzzle: Shortest Path in a Box 1 Q

8 Working with Fractions Fractions

8.1 Multiplication of Fractions 1 QFigure it Out (page 176) 5 QMultiplying Two Fractions 1 QFigure it Out (page 180) 2 QFigure it Out (page 183) 5 QIs the Product Always Greater? 1 Q8.2 Division of Fractions 1 Q8.3 Some Problems Involving Fractions 3 QFigure it Out (page 196) 12 QPuzzle: Non-attacking Queens 1 Q

Part 2

1 Geometric Twins Congruence

1.1 Geometric Twins 1 QFigure it Out (page 3) 4 Q1.2 Congruence of Triangles 3 QFigure it Out (page 8) 4 QMeasuring Angles, and Two Sides with an Angle 5 QFigure it Out (page 13) 4 QTwo Angles and a Non-included Side; Right Triangles 1 Q1.3 Angles of Isosceles and Equilateral Triangles 2 QFigure it Out (page 20) 6 QPuzzle: Congruent Regions 1 Q

2 Operations with Integers Integers

2.1 A Quick Recap of Integers 1 QCarrom Coin Integers 3 Q2.2 Multiplication of Integers 1 QFigure it Out (page 31) 5 QFigure it Out (page 33) 2 QExample: Marks and the Elevator 1 QA Magic Grid of Integers 1 QDivision of Integers 1 QFigure it Out (page 39) 4 QExpressions Using Integers 3 QPick the Pattern 1 QFigure it Out (page 42) 16 Q

3 Finding Common Ground HCF and LCM

3.1 The Greatest of All 3 QPrime Factorisation 2 QFigure it Out (page 51) 1 QFigure it Out (page 53) 1 QFigure it Out (page 54) 2 Q3.2 Least, but not Last! 3 QFigure it Out (page 58) 1 Q3.3 Patterns, Properties, and a Pretty Procedure! 1 QFigure it Out (page 59) 4 QEfficient Procedures for HCF and LCM 2 QProperty Involving both the HCF and the LCM 2 QFigure it Out (page 63) 14 QPuzzle: Mystery Colours! 1 Q

4 Another Peek Beyond the Point Decimals

4.1 A Quick Recap of Decimals 3 Q4.2 Decimal Multiplication 1 QFigure it Out (page 73) 10 Q4.3 Decimal Division 1 QFigure it Out (page 83) 4 QDoes This Ever End? 1 QDividend, Divisor, and Quotient 1 QFigure it Out (page 86) 11 Q4.4 Look Before You Leap! 1 QFigure it Out (page 93) 11 QPuzzle: Hidato 1 Q

5 Connecting the Dots… Data Handling

5.1 Of Questions and Statements 1 Q5.2 Representative Values 1 QFigure it Out (page 101) 5 QKnow Your Onions! 2 QOutliers and Medians 4 QHow Tall is Your Class? 2 QZero Median Runs and Zero vs No Value 1 QFigure it Out (page 112) 7 Q5.3 Visualising Data 1 Q10…9…8…Take Off! 2 QSummer and Winter at the Same Time 1 QAll it Takes is a Minute 1 QFigure it Out (page 122) 4 Q5.4 Data Detective 2 QFigure it Out (page 129) 11 QPuzzle: Connect the Dots (Number Lock) 1 Q

6 Constructions and Tilings Geometry

Coming soon

7 Finding the Unknown Equations

Coming soon

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