NCERT Exemplar Class 9 Maths Solutions - Chapter Wise Problems with Solutions

NCERT
NCERT Exemplar Class 9 Maths Solutions - Chapter Wise Problems with Solutions

NCERT Exemplar Class 9 Maths Solutions - Chapter Wise Problems with Solutions

Komal MiglaniUpdated on 17 Apr 2025, 10:06 AM IST

When you have already finished learning all the concepts and have solved all the problems in your NCERT mathematics book, and you want to upgrade your mathematics skills even further, then your best option is the NCERT Exemplar class 9 maths. Unlike your regular textbook, this exemplar maths is filled with slightly more interesting and complex problems. This will help you think deeper and apply your previously learned concepts in different and more intuitive ways. If you want to be better at problem-solving and take your mathematics skills to the next level, then exemplar maths is the way to go.

This Story also Contains

NCERT Exemplar Class 9 Maths Solutions Chapter-Wise
Important features of NCERT Exemplar Class 9 Maths solutions by Careers 360:
How To Download NCERT Exemplar?
Importance of NCERT Exemplar Solutions Class 9 Maths
NCERT Solutions for Class 9 Mathematics: Chapter-wise
NCERT Class 9 Exemplar Solutions Subject-Wise:
NCERT Solution Subject Wise
NCERT Notes Subject Wise
NCERT Books and NCERT Syllabus here

This article on NCERT Exemplar Class 9 Maths Solution offers clear and step-by-step solutions for the exercise problems in the NCERT Exemplar Class 9 Maths book. Students who want to practice more will find this article very useful. It covers all the important Class 9 Maths question answers. These solutions are made by the Subject Matter Experts according to the latest CBSE syllabus, ensuring that students can grasp the basic concepts effectively. For the NCERT syllabus, books, notes, and class-wise solutions, refer to the NCERT.

NCERT Exemplar Class 9 Maths Solutions Chapter-Wise

NCERT Exemplar for Class 9 Mathematics Chapter 1: Number System

NCERT Exemplar for Class 9 Mathematics Chapter 2: Polynomials

NCERT Exemplar for Class 9 Mathematics Chapter 3: Coordinate Geometry

NCERT Exemplar for Class 9 Mathematics Chapter 4: Linear Equations in Two Variables

NCERT Exemplar for Class 9 Mathematics Chapter 5: Introduction to Euclid’s Geometry

NCERT Exemplar for Class 9 Mathematics Chapter 6: Lines and Angles

NCERT Exemplar for Class 9 Mathematics Chapter 7: Triangles

NCERT Exemplar for Class 9 Mathematics Chapter 8: Quadrilaterals

NCERT Exemplar for Class 9 Mathematics Chapter 9: Area of Parallelograms and Triangles

NCERT Exemplar for Class 9 Mathematics Chapter 10: Circles

NCERT Exemplar for Class 9 Mathematics Chapter 11: Constructions

NCERT Exemplar for Class 9 Mathematics Chapter 12: Heron’s Formula

NCERT Exemplar for Class 9 Mathematics Chapter 13: Surface Areas and Volumes

NCERT Exemplar for Class 9 Mathematics Chapter 14: Statistics and Probability

Important features of NCERT Exemplar Class 9 Maths solutions by Careers 360:

NCERT exemplar Class 9 Maths solutions chapter 1 provides solutions for 46 varied difficulty level questions for the Number System. These solutions cover different types of questions, ranging from MCQS to lengthy numerical problems. The major topics covered in this chapter are Rational and Irrational numbers, Operations on Real numbers, rationalisation, and laws of exponents.
NCERT exemplar Class 9 Maths solutions chapter 2 consists of a whopping 72 detailed solutions targeting questions ranging from an understanding of Polynomials(Degree, Coefficient, Zeroes, Constant, Linear and Quadratic Polynomials) to theorems such as Factor and Remainder theorems.
NCERT exemplar Class 9 Maths solutions chapter 3 explores 42 questions based on students' understanding and practice level of concepts of Geometry, such as the Cartesian system, Coordinate axes, along with the questions based on Coordinates of a point and plotting these points on the Cartesian plane.
NCERT exemplar Class 9 Maths solutions chapter 4 delivers detailed solutions to 42 challenging problems based on students’ understanding of linear equations in two variables: calculating/determining the solution(s) of a linear equation in two variables and representing this equation on a graph.
NCERT exemplar Class 9 Maths solutions chapter 5 consists of solutions to a large base of 48 questions, including a good amount of information-based questions and numericals. The major concepts covered in these solutions include a basic understanding of Euclid’s geometry, along with axioms and postulates on the same. The chapter also explores the present-day geometry practices.
NCERT exemplar Class 9 Maths solutions chapter 6 comprises solutions to 35 questions with a spectrum ranging from lines and their properties to different types of angles(complementary, supplementary, adjacent angles, etc.) and their properties.
NCERT exemplar Class 9 Maths solutions chapter 7 is a compilation of solutions to 55 problems, with the majority of questions under the long answer type questions. These solutions explore the different criteria for congruency of triangles, such as SSS, ASA, SAS, and RHS, along with the basic understanding of triangles.
NCERT exemplar Class 9 Maths solutions chapter 8 provides elaborate solutions to 56 challenging problems on the chapter of Quadrilaterals. The topics addressed in these solutions range from a basic understanding of quadrilaterals(definitions and properties) to different types of quadrilaterals, such as trapezium, parallelogram, rectangle, etc.
NCERT exemplar Class 9 Maths solutions chapter 9 includes detailed solutions of numerical based 34 numerical-based questions on Area of Parallelograms and Triangles. These solutions cover topics such as how to find the area of closed plane figures, including different parallelograms and triangles, along with basic properties of similar base figures.
NCERT exemplar Class 9 Maths solutions chapter 10 comprises elaborate solutions of 54 very interesting problems based on the student’s understanding of Circles. These solutions explore the problems ranging from topics such as properties of circles to cyclic quadrilaterals.
NCERT exemplar Class 9 Maths solutions chapter 11 is a compilation of 22 solutions, mainly consisting of practice-based problems on Construction. These problems test the knowledge and skill level of students to precisely conduct constructions such as angle bisectors, perpendicular bisectors, and triangles.
NCERT exemplar Class 9 Maths solutions chapter 12 delivers elaborate solutions on the chapter of Heron’s Formula, consisting of 36 problems. The problems are mainly based on finding the area of triangles when the three sides are given.
NCERT exemplar Class 9 Maths solutions chapter 13 consists of 38 formula-based problems, including Curved Surface Area and Total Surface Area formulas of cube, cylinder, sphere, and hemisphere.
NCERT exemplar Class 9 Maths solutions chapter 14 delivers exhaustive solutions to a whopping 72 questions based on the understanding of students of the chapter on Statistics and Probability. These solutions cover topics such as basic understanding of Statistics(Mean, Median, Mode, graphical representation) and Probability.

How To Download NCERT Exemplar?

Click on the NCERT Exemplar.
Select Class IX from the Exemplar Problem section.
Click on the chapter.
Download the PDF.

Importance of NCERT Exemplar Solutions Class 9 Maths

A total of 14 chapters of Class 9 Maths provide a huge volume of practice problems for the students to learn, test, and hone their problem-solving skills along with understanding and application of the concepts.

These exemplar problems go beyond the basics, helping students grasp more advanced concepts with greater clarity.
Various types of questions, like MCQS, fill-in-the-blanks, true-false, short-answer type, and long-answer type, will enhance the logical and analytical skills of the students.
These NCERT exemplar exercises cover all the important topics and concepts so that students can be well-prepared for various exams.
By solving these NCERT exemplar problems, students will get to know about all the relevant real-life applications.

NCERT Solutions for Class 9 Mathematics: Chapter-wise

NCERT Solutions for Class 9 Mathematics Chapter 1: Number Systems

NCERT Solutions for Class 9 Mathematics Chapter 2: Polynomials

NCERT Solutions for Class 9 Mathematics Chapter 3: Coordinate Geometry

NCERT Solutions for Class 9 Mathematics Chapter 4: Linear Equations in Two Variables

NCERT Solutions for Class 9 Mathematics Chapter 5: Introduction to Euclid’s Geometry

NCERT Solutions for Class 9 Mathematics Chapter 6: Lines and Angles

NCERT Solutions for Class 9 Mathematics Chapter 7: Triangles

NCERT Solutions for Class 9 Mathematics Chapter 8: Quadrilaterals

NCERT Solutions for Class 9 Mathematics Chapter 9: Circles

NCERT Solutions for Class 9 Mathematics Chapter 10: Heron's Formula

NCERT Solutions for Class 9 Mathematics Chapter 11: Surface Areas and Volumes

NCERT Solutions for Class 9 Mathematics Chapter 12: Statistics

NCERT Class 9 Exemplar Solutions Subject-Wise:

Given below are the subject-wise exemplar solutions of class 9 NCERT:

NCERT Solution Subject Wise

Here are the subject-wise links for the NCERT solutions of class 9:

NCERT Notes Subject Wise

Given below are the subject-wise NCERT Notes of class 9:

NCERT Books and NCERT Syllabus here

Here are some useful links for NCERT books and the NCERT syllabus for class 9:

Frequently Asked Questions (FAQs)

Q: What is NCERT Exemplar?

National Council of Educational Research and Training(NCERT) publishes the NCERT Exemplar books on a periodic basis to provide the students with good quantity and quality of problems based on the respective Science and Mathematics syllabus prescribed by CBSE.

Q: Can I score well in the school exams after practicing from NCERT Exemplar Class 9 maths?

The understanding and practice of the wide range of maths problems provided in the NCERT Exemplar are adequate to score high in the school examinations.

Q: Does NCERT Exemplar Class 9 maths enough to lay the foundation for board examinations?

The higher level question base in the NCERT Exemplar helps the students to prepare and practice the concepts in a better way which in turn is highly effective in preparing for board exams.

Q: Is NCERT Exemplar sufficient to prepare for competitive examinations such as JEE Mains and JEE Advanced?

The NCERT Exemplar consists a good mix of competitive level questions which initiates the competitive level preparation journey of a student and helps in advancing to the next level.

Q: Where can we get the solutions for NCERT Exemplar Class 9 maths?

All the detailed solutions are available under the tag of NCERT exemplar class 9 maths solutions on the Careers360 official website. These solutions are sufficient to solve and thoroughly complete the NCERT Exemplar.

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Popular Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms^-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

Read Complete Answer

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up ? Fat supplies 3.8×10⁷J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 ms⁻² :

Option 1)

2.45×10⁻³ kg

Option 2)

6.45×10⁻³ kg

Option 3)

9.89×10⁻³ kg

Option 4)

12.89×10⁻³ kg

Read Complete Answer

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

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A particle is projected at 60⁰ to the horizontal with a kinetic energy $K$ . The kinetic energy at the highest point

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

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In the reaction,

$2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

Read Complete Answer

How many moles of magnesium phosphate, $Mg_{3}(PO_{4})_{2}$ will contain 0.25 mole of oxygen atoms?

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

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If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

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With increase of temperature, which of these changes?

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

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Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol^-1) is

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

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A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t²) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m² , the number of rotations made by the pulley before its direction of motion if reversed, is