Download Case Study Questions for Class 9 Mathematics to prepare for the upcoming CBSE Class 9 Exams 2022-23. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 9 so that they can score 100% in Exams.

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

**CBSE Class 9th MATHS: Chapterwise Case Study Questions**

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked. For Maths subjects, there would be 5 case-based sub-parts questions, wherein a student has to attempt 4 sub-part questions.

**Chapterwise Case Study Questions of Class 9 Maths**

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

- Case Study Questions for Chapter 1 Number System
- Case Study Questions for Chapter 2 Polynomials
- Case Study Questions for Chapter 3 Coordinate Geometry
- Case Study Questions for Chapter 4 Linear Equations in Two Variables
- Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
- Case Study Questions for Chapter 6 Lines and Angles
- Case Study Questions for Chapter 7 Triangles
- Case Study Questions for Chapter 8 Quadrilaterals
- Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
- Case Study Questions for Chapter 10 Circles
- Case Study Questions for Chapter 11 Constructions
- Case Study Questions for Chapter 12 Heron’s Formula
- Case Study Questions for Chapter 13 Surface Area and Volumes
- Case Study Questions for Chapter 14 Statistics
- Case Study Questions for Chapter 15 Probability

**Checkout: Class 9 Science Case Study Questions**

And for mathematical calculations, tap Math Calculators which are freely proposed to make use of by calculator-online.net

The above **Case studies for Class 9 Mathematics** will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Studies have been developed by experienced teachers of cbseexpert.com for benefit of Class 10 students.

**Class 9 Science Case Study Questions**

# Class 9 Maths Syllabus 2022-23

**UNIT I: NUMBER SYSTEMS**

**1. REAL NUMBERS (18 Periods)**

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type

(and their combinations) where x and y are natural number and a and b are integers.

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

**UNIT II: ALGEBRA**

**1. POLYNOMIALS (26 Periods)**

Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities:

## RELATED STORIES

and their use in factorization of polynomials.

**2. LINEAR EQUATIONS IN TWO VARIABLES (16 Periods)**

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

**UNIT III: COORDINATE GEOMETRY COORDINATE GEOMETRY (7 Periods)**

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

**UNIT IV: GEOMETRY**

**1. INTRODUCTION TO EUCLID’S GEOMETRY (7 Periods)**

History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom)

1. Given two distinct points, there exists one and only one line through them. (Theorem)

2. (Prove) Two distinct lines cannot have more than one point in common.

**2. LINES AND ANGLES (15 Periods)**

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Lines which are parallel to a given line are parallel.

**3. TRIANGLES (22 Periods)**

1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).

2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

**4. QUADRILATERALS (13 Periods)**

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal, and conversely.

3. (Motivate) In a parallelogram opposite angles are equal, and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.

6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

**5. CIRCLES (17 Periods)**

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.

2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

5. (Motivate) Angles in the same segment of a circle are equal.

6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.

7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

**UNIT V: MENSURATION 1.**

**1. AREAS (5 Periods)**

Area of a triangle using Heron’s formula (without proof)

**2. SURFACE AREAS AND VOLUMES (17 Periods)**

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

**UNIT VI: STATISTICS & PROBABILITY**

**STATISTICS (15 Periods)**

Bar graphs, histograms (with varying base lengths), and frequency polygons.

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

**QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)**

S.No | Typology of Questions | Total Marks | % Weightage (approx) |

1. | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 43 | 54 |

2. | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 19 | 24 |

3. | Analysing:Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating:Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating:Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 18 | 22 |

Total | 80 | 100 |