NCERT Exemplar Solutions for Class 9 Maths – Free PDF Download (Updated for 2024-25)
NCERT Exemplar Class 9 Maths problems and solutions are focused on developing an understanding of basic concepts of Mathematics in students. Students are advised to practise NCERT Class 9 Maths Exemplar Solutions regularly to absorb conceptual knowledge effectively. These exemplar solutions are prepared by our subject experts for Class 9 students. These solutions introduce a few guidelines with several helpful tips and tricks to answer problems accurately.
Air View Institute brings you Class 9 Maths NCERT Exemplar Solutions, where students can easily prepare all the concepts included in the CBSE Syllabus in a much better and more effective way. Revision notes are also provided to help students grasp all the topics, along with a detailed summary, important formulas and shortcut tips. Students can enhance their exam preparations by practising NCERT Maths Exemplar for Class 9 Solutions from the links mentioned below.
Mathematics
- Unit 1(Number Systems)
- Unit 2(Polynomials)
- Unit 3(Coordinate Geometry)
- Unit 4(Linear Equation In Two Variables)
- Unit 5(Introduction To Euclid's Geometry)
- Unit 6(Lines & Angles)
- Unit 7(Triangles)
- Unit 8(Quadrilaterals)
- Unit 9(Areas of Parallelograms & Triangles)
- Unit 10(Circles)
- Unit 11(Construction)
- Unit 12(Heron's Formula)
- Unit 13(Surface Area & Volumes)
- Unit 14(Statistics & Probability)
- Design Of The Question Paper-Set I
- Design Of The Question Paper-Set II
- Answers
गणित
- यूनिट 1 (संख्या पद्धितिया)
- यूनिट 2 (बहुपद )
- यूनिट 3 (निर्देशांक ज्यामिति )
- यूनिट 4(दो चरो वाले रैखिक समीकरण )
- यूनिट 5(यूक्लिड की जयमित का परिचय )
- यूनिट 6(रेखाएं और कोण )
- यूनिट 7(बीजीय व्यंजक , सरवसमिकएं त्रिभुज)
- यूनिट 8(चतुर्भुज)
- यूनिट 9(रसमान्तर चतुर्भुजों और त्रिभुजों का क्षेत्रफल)
- यूनिट 10(वृत्त )
- यूनिट 11(रचनायें)
- यूनिट 12(हीरोन का सूत्र)
- यूनिट 13(पृष्ठीय क्षेत्रफल एवं आयतन)
- यूनिट 14(सांख्यिकी और प्रायिकता )
- यूनिट 15(प्रश्न पत्र का डिज़ाइन सेट 1)
- यूनिट 16(प्रश्न पत्र का डिज़ाइन सेट II)
- उत्तरमाला
Science
- Unit 1(Matter In Our Surroundings)
- Unit 2(Is Matter Around Us Pure)
- Unit 3(Atoms & Molecules)
- Unit 4(Structure Of The Atoms)
- Unit 5(The Fundamental Unit Of Life)
- Unit 6(Tissues)
- Unit 7(Diversity In Living Organism)
- Unit 8(Motion)
- Unit 9(Force & Laws Of Motion)
- Unit 10(Gravitation)
- Unit 11(Work & Energy)
- Unit 12(Sound)
- Unit 13(Why Do We Fall Ill)
- Unit 14(Natural Resources)
- Unit 15 (Impovement In Food Resources)
- Sample Question Paper I
- Sample Question Paper II
- Answers
विज्ञान
- यूनिट 1 (हमारे आस पास के पदार्थ )
- यूनिट 2 (क्या हमारे आस पास के पदार्थ शुद्ध है?)
- यूनिट 3 (परमाणु एवं अणु)
- ययूनिट 4(परमाणु की संरचना)
- यूनिट 5(जीवन की मौलिक इकाई)
- यूनिट 6(ऊतक)
- यूनिट 7(जीवो में विविधता )
- यूनिट 8(गति )
- यूनिट 9(बल तथा गति के नियम)
- यूनिट 10(गुरुत्वकर्षण )
- ययूनिट 11(कार्य एवं ऊर्जा )
- यूनिट 12(ध्वनि)
- यूनिट 13(हम बीमार क्यों होते है?)
- यूनिट 14(प्राकृतिक सम्पदा )
- ययूनिट 15(खाद्य संसाधनों में सुधार )
- नमूना प्रश्नपत्र एक-I
- नमूना प्रश्नपत्र एक-II
- उत्तरमाला
You can also access and download NCERT Class 9 Books here.
Check the chapters covered here for the Class 9 Maths exemplar, along with the topics included in each chapter.
NCERT Exemplar Class 9 for Maths Chapter 1 – Number Systems
In this chapter, students will be introduced to solving exemplar problems based on irrational numbers, real numbers and their decimal expansion, representation of real numbers on the number line, exponents laws for real numbers, etc.
NCERT Exemplar Class 9 for Maths Chapter 2 – Polynomials
This chapter consists of problems based on polynomials in one variable, zeroes of a polynomial, remainder theorem, factorisation of polynomials and algebraic identities.
NCERT Exemplar Class 9 for Maths Chapter 3 – Coordinate Geometry
In this chapter, students will learn to solve problems based on the Cartesian system and plotting a point in the plane if its coordinates are given and on the related topics.
NCERT Exemplar Class 9 for Maths Chapter 4 – Linear Equations in Two Variables
Here, students will learn to find the solution for linear equations, to represent the linear equation in two variables graphically, solving equations of lines parallel to the x-axis and the y-axis.
NCERT Exemplar Class 9 for Maths Chapter 5 – Introduction to Euclid’s Geometry
This chapter introduces students to Euclid’s definitions, axioms and postulates, along with problems based on equivalent versions of Euclid’s fifth postulate.
NCERT Exemplar Class 9 for Maths Chapter 6 – Lines and Angles
Chapter 6 has problems based on lines (intersecting and non-intersecting), pairs of angles, parallel lines, transversals, two lines parallel to the same line and also questions based on the angle sum property of a triangle.
NCERT Exemplar Class 9 for Maths Chapter 7 – Triangles
The chapter Triangles is one of the important chapters which consists of topics like the congruency of triangles and their conditions. Students will also learn some of the basic properties of triangles and inequalities in triangles, etc.
NCERT Exemplar Class 9 for Maths Chapter 8 – Quadrilaterals
In this chapter, students get to solve exemplar problems based on the angle sum property of a quadrilateral. Also, they learn different types of quadrilaterals here. They also learn the properties of a parallelogram and conditions for a quadrilateral to be a parallelogram, along with the mid-point theorem.
NCERT Exemplar Class 9 for Maths Chapter 9 – Area of Parallelogram and Triangle
From the chapter name, it is clear that we are going to solve exemplar problems to find the areas of parallelograms and triangles where the parallelograms and triangles are on the same base and between the same parallels.
NCERT Exemplar Class 9 for Maths Chapter 10 – Circles
Here, students will learn about circles and their related terms, theorems and their proof based on angle subtended by a chord at a point, theorems based on perpendicular from the centre to a chord, to draw a circle with the help of three points, chords of the circle and their distances from the centre, the angle formed by the arc of a circle, quadrilateral formed inside a circle.
NCERT Exemplar Class 9 for Maths Chapter 11 – Constructions
Constructions is a chapter introduced in Class 9 to constructing different types of figures using geometry box instruments such as a compass, scale, divider, etc. Here, students will learn to construct the bisector of a given angle, the perpendicular bisector of a given line segment, a triangle, given its base, a base angle and the sum of the other two sides, etc.
NCERT Exemplar Class 9 for Maths Chapter 12 – Heron’s Formula
Students of Class 9 will learn to find the area of a triangle using Heron’s formula, along with the application of Heron’s formula in finding areas of quadrilaterals.
NCERT Exemplar Class 9 for Maths Chapter 13 – Surface Areas and Volumes
Learn to find the surface area of a cuboid, cube, right circular cylinder, right circular cone and sphere in this chapter. Also, learn how to find the volumes of a cuboid, cylinder, right circular cone and sphere with the help of standard formulas.
NCERT Exemplar Class 9 for Maths Chapter 14 – Statistics and Probability
Statistics is a chapter which has many real-life applications. In this chapter, students will learn about the collection and presentation of data along with their graphical representation and measures of central tendency. Students will also learn the basic approach to the probability of an event or the outcomes of an experiment. For further details, solve the NCERT Exemplar problems and understand the concepts in a better way.
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