# CBSE - Class 07 - Mathematics - Visualising Solid Shapes - NCERT Solutions

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# NCERT solutions for class 7 Mathematics

## NCERT 7 Mathematics Text book Solutions

NCERT 7th class Mathematics book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. NCERT 7 Mathematics Text book Solutions. Class 7 Mathematics chapter wise NCERT solution for Mathematics for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

## NCERT Class 7 Mathematics Chapter-wise Solutions

• Chapter 1 – Integers
• Chapter 2 – Fractions and Decimals
• Chapter 3 – Data Handling
• Chapter 4 – Simple Equations
• Chapter 5 – Lines and Angles
• Chapter 6 – Practical Geometry
• Chapter 7 – The Triangle and its Properties
• Chapter 8 – Congruence of triangles
• Chapter 9 – Comparing Quantities
• Chapter 10 – Rational numbers
• Chapter 11 – Perimeter and Area
• Chapter 12 – Algebraic Expressions
• Chapter 13 – Exponents and Powers
• Chapter 14 – Symmetry
• Chapter 15 – Visualizing Solid Shapes

Here is the list of topics covered under each chapter of class 7 Mathematics NCERT text book.

### CHAPTER ONE INTEGERS

• 1.1       Multiplication and Division of Integers
• 1.2       Properties of Integers
• 1.3       Properties of multiplication of integers
• 1.4       Word problems including integers

### CHAPTER TWO FRACTIONS AND DECIMALS

• 2.1       Let’s recall fractions
• 2.2       Multiplication of Fractions (fraction x whole number & fractions fraction)
• 2.3       Division of fractions (whole number/fraction; reciprocal of a fraction; fraction/whole number; fraction/fraction)
• 2.4       Multiplication & Division of Decimal Numbers (decimal x decimal; decimal x whole number; decimal x 10, 100, 1000)
• 2.5       Word Problems on Fractions and Decimal Numbers

### CHAPTER THREE DATA HANDLING

• 3.1       Introduction: Why should we organize data?
• 3.2       Data collection and organizing data
• 3.3       Arithmetic Mean & Range
• 3.4       Mean, Median & Mode
• 3.5       Chance & Probability

### CHAPTER FOUR SIMPLE EQUATION

• 4.1       Recall : Expressions and Equations
• 4.2       Setting up an equation
• 4.3       Solving an equation
• 4.4       Tracing Back: from solution to equation
• 4.5       Application of simple equations to practical situations

### CHAPTER FIVE LINES And Angles

• 5.1       Introduction to Lines and Angles
• 5.2       Related Angles: Complementary and supplementary angles
• 5.3       Related Angles: Adjacent, vertically opposite and linear pair of angles
• 5.4       Pairs of Lines : Intersecting Line and Transversal
• 5.5       Angles made by transversal
• 5.6       Check for parallel lines

### CHAPTER SIX PRACTICAL GEOMETRY

• 6.1       Construction of a line parallel to a given line, through a point not on the line
• 6.2       Construction of Triangles : An idea
• 6.3       Constructing a triangle when the lengh of its sides are known (SSS Criterion)
• 6.4       Constructing a triangle when the length its two sides and the measure of the angle between them are known (SAS Criterion)
• 6.5       Constructing a triangle when the measure of two of its angles and the length of the side included between them is given (ASA Criterion)
• 6.6       Constructing a Right-Angled Triangle when the length of one leg and its Hypotenous are given (RHS Criterion)

### CHAPTER SEVEN THE TRIANGLES AND ITS PROPERTIES

• 7.1       Introduction : Recall the triangles
• 7.2       Medians & Altitudes of a triangle
• 7.3       Exterior Angle of a triangle & its property
• 7.4       Angle sum property of a triangle
• 7.5       Equilateral & Isosceles Triangles
• 7.6       Sum of the length of two sides of a triangle
• 7.7       Right-Angled Triangles and Pythagoras Property

### CHAPTER EIGHT CONGRUENCE OF TRIANGLES

• 8.1       The idea of congruence in geometry
• 8.2       Congruence of plane figures, line segments, angles
• 8.3       Criteria for congruence of triangles
• 8.4       Congruence among right-angled triangles

### CHAPTER NINE COMPARING QUANTITIES

• 9.1       Comparing Quantities
• 9.2       Equivalent Ratios
• 9.3       Percentage : Another way of comparing quantities
• 9.4       Converting fractional and decimal numbers to percentage
• 9.5       Converting percentage to fractions or decimal numbers
• 9.6       Uses of Percentage : Interpreting and converting percentages
• 9.7       Uses of Percentage : Ratio to Percent, Increase of Decrease as percent
• 9.8       Profit or Loss as Percentage
• 9.9       Introduction to simple interest for one and multiple years

### CHAPTER TEN RATIONAL NUMBERS

• 10.1     Introduction to rational numbers and their need
• 10.2     Positive and negative natural numbers and their representation on number line
• 10.3     Rational numbers in standard form
• 10.4     Representation of rational number as a decimal
• 10.5     Comparison of rational numbers
• 10.6     Rational numbers between two rational numbers
• 10.7     Operations in rational numbers
• 10.8     Word problems on rational numbers (all operations)

### CHAPTER ELEVEN PERIMETER AND AREA

• 11.1     Triangle
• 11.2     Area of a parallelogram & triangle
• 11.3     Circles : Circumference & Area
• 11.4     Perimeter of Polygons
• 11.5     Conversion of units and its applications

### CHAPTER TWELVE ALGEBRAIC EXPRESSIONS

• 12.1     Introduction: Formation of an equation
• 12.2     Terms of an expression : Factors and coefficients of a term
• 12.3     Like and unlike terms : Monomials, Binomials, Trinomials and Polynomials
• 12.4     Addition and subtraction of algebraic expressions
• 12.5     Finding the value of an expression
• 12.6     Using algebraic expression – formulas and rules [Perimeter formula; area formula]
• 12.7     Simple linear equations
• 12.8     Patterns in numbers and geometry

### CHAPTER THIRTEEN EXPONENTS AND POWERS

• 13.1     Why exponents and powers
• 13.2     Exponents: The shorthand for repeated multiplications
• 13.3     Laws of exponents
• 13.4     Decimal number system and expressing large numbers in the standard form

### CHAPTER FOURTEEN SYMMETRY

• 14.1     Recalling reflection symmetry
• 14.2     Line Symmetry
• 14.3     Rotational Symmetry
• 14.4     A comparison between line symmetry and rotational symmetry

### CHAPTER FIFTEEN VISUALISING SOLID SHAPES

• 15.1     Introduction to plane figures and solid shapes (faces, edges and vertices)
• 15.2     Building 3-D Shapes
• 15.3     Oblique Sketches
• 15.4     Isometric Sketches
• 15.5     Different sections of a solid (slicing/cutting & shadows)

## NCERT Solutions Chapter 15:  VISUALISING SOLID SHAPES

In this chapter, you will classify figures you have seen in terms of what is known as dimension. In our day to day life, we see several objects like books, balls, ice-cream cones etc., around as which have different shapes. One thing common about most of these objects is that they all have some length, breadth and height or depth.That is, they all occupy space and have three dimensions. Hence, they are called three dimensional shapes. Do you remember some of the three dimensional shapes(i.e.,solid shapes)  we have seen in earlier classes?

## NCERT Solutions for Class 7th Mathematics

NCERT Solutions Class 7 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Mathematics includes text book solutions. NCERT Solutions for CBSE Class 7 maths have total 15 chapters. Class 7 Mathematics ncert Solutions in pdf for free Download are given in this website. Ncert Mathematics class 7 solutions PDF and Mathematics ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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