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

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

Edited By Safeer PP | Updated on Sep 06, 2022 05:15 PM IST

NCERT publishes NCERT exemplar books for Mathematics and Science periodically to provide the students with additional higher-level practice material to enhance the students’ learning curve. At Careers 360, our experts conduct thorough research and analysis of these publications for preparing these NCERT exemplar solutions for Class 9 Maths. The CBSE syllabus of Class 9 is wholly incorporated in NCERT exemplar Class 9 Maths solutions and acts as a gauge for the preparation of solutions. NCERT exemplar Class 9 Maths solutions are incredibly detailed and act as an ideal doubt resolution mechanism for the student due to its step-by-step approach. The research data shows that students are highly likely to attempt and excel in other practice books of the competitive level once they are thorough with the practice problems of NCERT Exemplar. The student achieves a higher skill level as the book, and its solutions touch the base with competitive-level problems such as JEE Advanced, NEET, NTSE, and NIMO.

## NCERT Maths Exemplar Solutions Class 9 For All The Chapters:

 Chapter 1 Number System Chapter 2 Polynomials Chapter 3 Coordinate geometry Chapter 4 Linear equations in Two Variable Chapter 5 Introduction to Euclid’s Geometry Chapter 6 Lines and Angles Chapter 7 Triangles Chapter 8 Quadrilaterals Chapter 9 Area of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 12 Heron’s Formula Chapter 13 Surface Areas and Volumes 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. The major topics covered in this chapter are Rational and Irrational numbers, Operations on Real numbers, rationalization, 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 Cartesian system, Coordinate axes along with the questions based on Coordinates of point and plotting these points on cartesian plane.

NCERT exemplar Class 9 Maths solutions chapter 4 delivers detailed solutions to 42 challenging problems based on students’ understanding of linear equation 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 includes 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 its properties to different types of angles(complimentary, supplementary, adjacent angles etc.) and their properties.

NCERT exemplar Class 9 Maths solutions chapter 7 is a compilation of solutions to 55 problems with majority of questions under the long answer type questions. These solutions explore the different criterias for congruency of triangles such as SSS, ASA, SAS, 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 Quadrilaterlas. The topics addressed in these solutions range from basic understanding of quadrilaterals(definitions and properties) to different types of quadrilaterlas such as trapezium, parallelogram, rectangle etc.

NCERT exemplar Class 9 Maths solutions chapter 9 includes detailed solutions of numerical based 34 questions on Area of Parallelograms and Triangles. These solution cover topics such as how to find the area of closed plane figures including different parallelograms and triangles along with basic properties of same 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 tests the knowledge and skill level of students to precisely conduct constructions such as angle bisectors, perpendicular bisector 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 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 Probability. These solutions cover topics such as basic understanding of Statistics(Mean, Median, Mode, graphical representation) and Probability.

### NCERT Exemplar Class 9 Other Subject

 NCERT Exemplar Class 9 Science Solutions NCERT Exemplar Class 9 Maths Solution

### NCERT Solution Class 9 Subject-wise

 NCERT Solutions for Class 9 Maths NCERT Solutions for Class 9 Science

1. Click on https://ncert.nic.in/exemplar-problems.php?ln=

2. Select Class IX from the Exemplar Problem section.

3. Click on the chapter.

## Benefits or Features of NCERT Solutions for Class 9 Maths

A total of 14 chapters of Class 9 Maths provide a huge volume of practice problems to the students to learn, test and hone their problem-solving skills along with understanding and application of the concepts. These solutions can be utilised for the preparation of Class test and also final exams. The concepts explained in the NCERT solutions for Class 9 Maths will be definitely useful in the coming classes and for exams like NTSE.

### NCERT Notes for Class 9 Subject Wise

1. 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.

2. 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.

3. 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.

4. 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.

5. 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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Get answers from students and experts

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) Option 2) Option 3) Option 4)

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 3.8×107 J 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

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) Option 2) Option 3) Option 4)

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

 Option 1) Option 2) Option 3) Option 4)

In the reaction,

 Option 1)   at STP  is produced for every mole   consumed Option 2)   is consumed for ever      produced Option 3) is produced regardless of temperature and pressure for every mole Al that reacts Option 4) at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, 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

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.

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.

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

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

 Option 1) less than 3 Option 2) more than 3 but less than 6 Option 3) more than 6 but less than 9 Option 4) more than 9