Download NCERT Class 9 Maths Question Papers with Detailed Solutions

NCERT Class 9 Maths Question Paper with Solutions available here. Download the latest 2025 solved papers for comprehensive exam preparation.

What is the value of the expression 3 + 5 x 2?
Start by multiplying 5 by 2, which gives 10. Then, add 3 to get 13.

If you subtract 9 from twice a number and get 11, what is the number?
Set up the equation: 2x - 9 = 11. Solving this, x equals 10.

Calculate the area of a rectangle with a length of 7 meters and a width of 4 meters.
Multiply the length by the width: 7 x 4 = 28 square meters.

What is the probability of drawing a red card from a standard deck of 52 cards?
Half of the cards in a deck are red, so the probability is 1/2 or 50%.

How do you simplify the expression 8x - 3x + 5?
Combine like terms: 8x - 3x becomes 5x, so the expression simplifies to 5x + 5.

What is the perimeter of a triangle with sides measuring 3 cm, 4 cm, and 5 cm?
Add the lengths of all sides: 3 + 4 + 5 = 12 cm.

Solve for x if 5x + 15 = 80.
First, subtract 15 from 80, getting 65. Then, divide by 5 to find x = 13.

If the radius of a circle is doubled, how does the area change?
The area of a circle is proportional to the square of the radius, so quadrupling the area.

What is the sum of the angles in a triangle?
The sum of the angles in any triangle is always 180 degrees.

Convert 50 kilometers per hour to meters per second.
There are 1000 meters in a kilometer and 3600 seconds in an hour, so 50 km/hr is approximately 13.89 m/s.

If five times a number plus 2 equals 17, what is the number?
Set up the equation: 5x + 2 = 17. Solving this, x equals 3.

What is the volume of a cube with side length 4 cm?
The volume of a cube is the side length cubed: 4 x 4 x 4 = 64 cubic centimeters.

How many ways can you arrange the letters in the word "BALL"?
There are 4 letters with 2 L's repeating. The arrangement number is 4! / 2! = 12.

Find the median of the numbers 2, 3, 10, 15, and 20.
When the numbers are in order, the median is the middle number: 10.

What is the complement of a 65-degree angle?
The complement of an angle is what, when added to it, equals 90 degrees. So, 25 degrees.

How many edges does a cube have?
A cube has 12 edges.

If a train travels 240 miles in 4 hours, what is its average speed?
Divide the distance by the time: 240 / 4 = 60 miles per hour.

Determine the greatest common divisor (GCD) of 36 and 60.
The GCD of 36 and 60 is 12.

Using the Pythagorean theorem, find the hypotenuse of a right triangle with legs 6 cm and 8 cm.
The hypotenuse² = 6² + 8² = 100. Thus, the hypotenuse = 10 cm.

Explain how you can tell if a number is divisible by 10.
A number is divisible by 10 if it ends in 0.

What is 15% of 200?
15% of 200 is calculated as 200 x 0.15 = 30.

Explain how to find the slope of a line passing through the points (1,2) and (3,8).
Slope = (change in y) / (change in x) = (8-2) / (3-1) = 3.

If the area of a square is 64 square cm, what is the length of each side?
Since the area of a square is the side length squared, each side is 8 cm.

What is the exterior angle of a regular pentagon?
The exterior angle of any regular polygon is 360 degrees divided by the number of sides. For a pentagon, 360 / 5 = 72 degrees.

Find the sum of the first 10 positive integers.
The sum of the first n positive integers is n(n+1)/2. For 10, it's 10 x 11 / 2 = 55.

If the price of a jacket is reduced from $120 to $90, what is the percentage decrease?
The decrease is $30 on the original $120, which is 30 / 120 x 100% = 25%.

Explain the difference between the mean and the median.
The mean is the average of all numbers, while the median is the middle value when all numbers are sorted.

If it takes 7 bricks to make a square meter of wall, how many bricks are needed for 15 square meters?
Multiply the number of bricks per square meter by the total area: 7 x 15 = 105 bricks.

Calculate the circumference of a circle with a diameter of 10 cm.
The circumference is π times the diameter. Using π ≈ 3.14, the circumference is 3.14 x 10 = 31.4 cm.

How long will it take to save $500 if you save $50 each month?
Divide the total amount by the monthly saving: 500 / 50 = 10 months.

What angle is formed by the hands of a clock at 3:00?
At 3:00, the minute hand is at 12 and the hour hand is at 3, forming a 90-degree angle.

If you reverse the digits of the number 123, what number do you get?
Reversing the digits of 123 gives 321.

What is 7 factorial (7!)?
7 factorial is 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.

How do you find the area of a parallelogram with a base of 5 cm and a height of 3 cm?
Multiply the base by the height: 5 x 3 = 15 square cm.

What does it mean for two lines to be parallel?
Two lines are parallel if they never intersect and are always the same distance apart.

If a rectangle's perimeter is 20 meters and its length is 6 meters, what is its width?
The formula for the perimeter is 2(l + w). Solve 2(6 + w) = 20 to find w = 4 meters.

What is the mode of the numbers 4, 8, 2, 8, 3, 8, and 1?
The mode is the number that appears most frequently, which is 8.

Convert a temperature of 100 degrees Fahrenheit to Celsius.
Use the formula (F - 32) x 5/9. (100 - 32) x 5/9 ≈ 37.78 degrees Celsius.

What is the diameter of a circle with a radius of 4 meters?
The diameter is twice the radius, so it is 8 meters.

If a bag contains 3 red marbles, 2 blue marbles, and 1 green marble, what is the probability of picking a blue marble?
With 6 marbles in total and 2 being blue, the probability is 2 / 6 = 1/3.

Define the term 'prime number.'
A prime number is a number greater than 1 that has no divisors other than 1 and itself.

What is the least common multiple (LCM) of 6 and 8?
The LCM of 6 and 8, considering their prime factors, is 24.

Describe a method to convert a fraction to a decimal.
Divide the numerator of the fraction by its denominator.

If you triple a number and subtract 5, and the result is 16, what is the number?
Set up the equation: 3x - 5 = 16. Solving this, x equals 7.

Explain how to find the intersection of two sets.
The intersection of two sets is the set of elements that are common to both sets.

Find the next number in the sequence 2, 4, 6, 8.
This sequence increases by 2 each time; thus, the next number is 10.

What is the reciprocal of 1/3?
The reciprocal of a fraction is obtained by swapping its numerator and denominator. Thus, the reciprocal of 1/3 is 3.

Recommended Books for NCERT Class 9 Maths with Solutions

"Comprehensive Mathematics - Class 9" by J.P. Mohindru, Bharati Bhawan Publishers
This book includes extensive practice questions similar to those found in NCERT exams and detailed explanatory solutions aimed at building conceptual understanding.

"Secondary School Mathematics for Class 9" by R.S. Aggarwal, Bharti Bhawan Publishers
Known for its systematic approach, this book covers a range of problem sets including solved examples and unsolved problems to reinforce learning.

"All In One Mathematics - Class 9" by Arihant Experts, Arihant Publications
It encapsulates the essence of each chapter including multiple choice questions, short answer questions, and detailed illustrative problems.

"NCERT Solutions - Mathematics for Class 9" by Dr. Hukam Chand, Laxmi Publications
This guide offers step-by-step solutions to all the NCERT textbook problems, making it a perfect companion for exam preparation.

"Mathematics Class 9" by R.D. Sharma, Dhanpat Rai Publications
R.D. Sharma's textbooks are renowned for their comprehensive content that goes beyond NCERT syllabus to prepare students for competitive exams.

"Oswaal NCERT Problems - Solutions (Textbook + Exemplar) Mathematics Class 9" by Oswaal Editorial Board, Oswaal Books
This book includes both NCERT textbook and Exemplar problem solutions, making it a valuable resource for thorough practice.

"MTG 100 Percent NCERT Solutions Mathematics - Class 9" by MTG Editorial Board, MTG Learning Media
Focuses on providing detailed solutions to all NCERT questions and includes additional exemplar problems as well.

"Self-Study Guide NCERT Mathematics Class 9" by Pradeep Publications
This self-study guide offers detailed solutions and additional practice questions that help students grasp the fundamentals of mathematics.

"Golden Guide for Class 9 Maths" by R.K. Malhotra and H.K. Singh, New Age International Publishers
Offers concise explanations and ample practice questions including previous years’ question papers, helpful for revision.

"Target Mathematics Class 9" by Tarun Goyal, Disha Publications
Tailored to help students ace their exams, this book contains exhaustive question banks, solved NCERT problems, and exemplary questions.

"Concise Mathematics - Middle School for Class 9" by Selina Publishers
This book is designed to strengthen students' knowledge through extensive problem-solving exercises and detailed theoretical concepts.

"Scholar's Mathematics for Class 9" by S.K. Gupta and Anubhuti Gangal, Scholars Hub
Features a variety of problems and solutions tailored to closely follow the NCERT curriculum and enhance exam readiness.

"Practice Papers Mathematics for Class 9" by K.S. Randhawa, Evergreen Publications
This guide is replete with sample papers designed according to the latest CBSE patterns, providing ample practice for students.

"Rapid Mathematics Class 9" by Vikas Publishing House
Known for its quick learning techniques, this book offers shortcuts and tips for solving complex mathematics problems efficiently.

"Step-by-Step NCERT Solutions Mathematics Class 9" by LearnCBSE.in Editorial, Pearson Education
It simplifies learning by breaking down complex problems into easy-to-understand steps, aiding in better retention.

"IIT Foundation Series - Mathematics Class 9" by Trishna Knowledge Systems, Pearson Education
Prepares students not only for their school exams but also lays the groundwork for competitive exams like the IIT-JEE.

"Exam Ready Mathematics for Class 9" by Full Marks Editorial, Full Marks Pvt Ltd
This book is designed to make students exam-ready through a comprehensive set of practice questions and previous year’s papers.

"CBSE Chapterwise Question-Answers Mathematics for Class 9" by Prem Kumar, Vidya Publishing House
Each chapter is followed by a detailed set of question and answers based on CBSE exams over the years, enhancing exam strategies.

"Kendriya Vidyalaya Sangathan Mathematics Class 9" by KVS Members, Central Board of Secondary Education
Specifically designed for students in Kendriya Vidyalayas, this book aligns closely with CBSE and KVS guidelines for mathematics.

"Mathematics Textbook Solutions for Class IX" by NCERT
This is the official solution manual published by NCERT, providing clear and concise answers to the textbook exercises.

NCERT Class 9 Maths Question Paper with Solutions

The NCERT Class 9 Maths curriculum is designed to build a strong foundation in mathematics by integrating practical problems with theoretical knowledge. Preparing for the exams using question papers with solutions is an effective way to assess understanding and improve problem-solving skills.

For students in Class 9, mastering mathematics involves not only understanding the concepts but also applying them in various situations. The NCERT solutions for these questions are meticulously prepared by experts to ensure that they cover the curriculum comprehensively. These solutions help students tackle typical problems that they may encounter in their exams, making them familiar with the pattern and improving their confidence.

When studying from NCERT Class 9 Maths question papers with solutions, students benefit from seeing the step-by-step process of arriving at answers. This practice aids in clarifying any misconceptions and strengthens problem-solving strategies by demonstrating multiple methods to tackle a single problem. Moreover, these resources are instrumental in revising all the important topics covered in the syllabus, ensuring a holistic preparation.

Another significant aspect of using solved question papers is that it helps in time management. It trains students to allocate appropriate times to different sections of the paper, which is a crucial skill during the actual exams. Also, by regularly practicing with these papers, students can identify their weak areas and concentrate on improving them.

The inclusion of solved exemplar problems and model papers in these resources further enhances the learning experience. These exemplars often contain higher-order thinking questions that challenge the students' understanding and push them to think critically, which is vital not just for school exams but also for various competitive exams they might face in the future.

Incorporating question papers with solutions into the study routine is undoubtedly beneficial. It encourages consistent practice, builds exam temperament, and fosters a deeper understanding of mathematical concepts, all of which are essential for excelling in Class 9 and beyond. As students progress through their academic journey, the skills they develop by tackling these NCERT problems will serve as valuable assets, aiding them in more advanced studies and in real-life problem-solving scenarios.