Maths CBSE Class 9 Sample Papers and Solutions

All chapters of class 9 Maths CBSE, in the prescribed syllabus by the CBSE and based on the NCERT curriculum have their importance and weightage. TopperLearning have taken into consideration all minute details from the curriculum to ensure that the syllabus of class 9 Maths CBSE is aligned properly. Each chapter of class 9 Maths CBSE has various concepts that are aligned to the NCERT Learning outcomes and plays a specific role in improving outcomes. CBSE class 9 Maths chapter list will give you an idea of the entire course curriculum coverage.

To score good marks in Maths Class 9 CBSE, one needs to understand the concepts really well. If a learner is well aware of the core concepts then it becomes very easy to attempt problems asked on those concepts. This also motivates learners to gain knowledge and excel in studies. Once a learner has understood the concepts in Maths Class 9 CBSE then practice should become a daily ritual as it is the key to let know about strengths and weaknesses. For subjects like Maths, practice is the key. For Science, knowing how to apply a learnt concept into daily life and problem solving is crucial. Once a learner is able to know what is happening around, can relate to the theories learnt in the books. Writing answers is also a good habit as it strengthens your communication skills and keeps a check on areas to improve which will enable scoring good marks in exams. Keep revising crucial topics watching concept and problem solving videos at TopperLearning after your school or online classes or as required.

Some students consider Class 9 Maths chapters as interesting than Science chapters. Actually, the interests vary from student to student as some like History chapters than Class 9 Maths. It is very evident that most students who like Maths, chapters related to Algebra, Percentages, Profit and Loss, Trigonometry, etc. interested the most. Students who have planned for various scholarships, Olympiads or competitive exams mostly find chapters related to metals and non-metals, acids and bases, light, energy, work, power, etc. In Social Maths, students mostly find interests in stone and Iron Age history, about the medieval age, world history and India’s struggle for independence, etc. At TopperLearning you will get access to the bank of resources in the form of videos, notes, a huge question bank, Class 9 Maths NCERT solutions etc., which will help you gain knowledge on the chapters that interest you the most. Just make sure to go through the TopperLearning Plans for your board-grade combination.

RD Sharma solutions provide answers to each and every textbook question, which is a good way to get acquainted with the chapter.

The topics and concepts that you will study now will come in handy in other competitive exams such as JEE, IAS and NDA.

Since Maths is an application-based subject, it cannot be memorised. Therefore, it is essential that you practise Maths every day, especially the difficult chapters.

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If you have any doubts regarding any topic, you can leave your doubt in the ‘Doubts and Solutions’ section. Your query will be answered within 24 hours by our experts.

NCERT Solutions for Class 9 Maths Chapter 10 is on Circles and is a crucial chapter as prescribed in the Class 9 syllabus by NCERT. The chapter Circle of Class 9 Maths includes an introduction to circles, the angle subtended by the chord, perpendicular from centre to chord, properties of equal chords and cyclic quadrilateral. There are five exercises in the Class 9 Maths Chapter 10 on circles. Apart from the NCERT Solutions drafted by experienced and qualified experts, students are recommended to go through the Sample papers, chapter notes, and question bank of the chapter, Circle.

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We should always follow a national curricular or framework drafted by eminent experts and follow NCERT Solutions for Class 9 Maths Chapter 10. The type of questions included across the five exercises of the chapter provides good exposure and experience to deal with different types of questions that can be asked in the school exams. Practising from NCERT Solutions for Class 9 Maths Chapter 10 will enable students to practice and attempt similar questions that may be asked in various exams. Once students are clear on the conceptual part and aware of the pattern of problems asked from a specific chapter, it becomes handy to tackle challenging problems based on that concept. It is also evident that a new typology of questions is included in the examinations like Case-based questions.

Students can get any time access to NCERT Solutions for Class 9 Maths Chapter 10, Circles on the TopperLearning website, where they can practice all the five exercises. Eminent and qualified experts carefully draft the solutions to these problems.

To understand Circles, a student must know about chords, diameter, radius, bisector and much more. The chapter Circle of Class 9 Maths includes an introduction to circles, the angle subtended by the chord, perpendicular from centre to chord, properties of equal chords and cyclic quadrilateral. There are five exercises in the Class 9 Maths Chapter 10 on circles, giving students an idea of different types of question patterns required to handle any questions in the exam.

To solve the problems of Class 9 Maths Chapter 10 Circles, one must understand the concepts first. With TopperLearning resources like the concept and problem-solving application videos, chapter-wise notes and question banks, students can clarify the concepts and then try to solve the NCERT solution independently.

The critical theorems of Class 9 Chapter 10 Circles are listed below.

• Theorem: Equal chords of a circle subtend equal angles at the centre.
• Theorem: This is the converse of the previous theorem. It implies that if two chords subtend equal angles at the centre, they are equal.
• Theorem: Equal chords of a circle are equidistant from the centre of a circle.
• Theorem: This is the converse of the previous theorem. It states that chords equidistant from the circle's centre are equal in length.
• Angle subtended by an arc at the centre of a circle is double that of an angle that arc subtends at any given point on the circle.
• Theorem: Angles formed in the same circle segment are always equal in measure.

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NCERT Solutions for Class 9 Maths Chapter 14 is on Statistics and includes Grouping and Tabulation of data, Graphical representation of data and Measures of central tendency. Each concept has NCERT solutions as well as concept and problem-solving videos. Students prefer to revise from these concepts and refer to the chapter notes and other features, including Sample papers, tests, and UnDoubt. Students use this Ask a Doubt service to see top user queries on specific concepts.

NCERT Solutions for Class 9 Maths Chapter 14 on statistics carries six marks and is crucial for exam perspective. This chapter deals with a graphical representation of data and teaches Measures of central tendency. Students use TopperLearning question bank to practice the Multiple-choice and Short-answer type of questions. The bank also includes the Case-Study based questions to revise and practice.

Accordingly to NCERT Solutions for Class 9 Maths Chapter 14, Statistics deals with collecting, presenting, analysing, and interpreting data. Data can be either ungrouped or grouped. Further, grouped data could be categorised into:

(a) Discrete frequency distribution and (b) Continuous frequency distribution.

Data can be represented in tables or the form of graphs. Common graphical forms are bar charts, pie diagrams, histograms, frequency polygons, ogives, etc.

The first order of comparison for a given data is the measures of central tendencies. Commonly used measures are (i) Arithmetic mean (ii) Median (iii) Mode.

Median is the measure that divides the data into two equal parts. The median is the middle term when the data is sorted. In the case of odd observations, the middle observation is the median. In the case of actual observations, the median is the average of the two middle observations. The median can be determined graphically. It does not take into account all the observations.

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The relationship between the mean, median, and mode of a data set is crucial to understanding statistics. The difference between mean and mode equals three times the difference between the mean and median.

3 Median = 2 Mean + Mode

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