, cbse class 9 maths chapter wise important questions - free pdf download.
CBSE Important Questions for Class 9 Maths are available in Printable format for Free Download.Here you may find NCERT Important Questions and Extra Questions for Class 9 Mathematics chapter wise with answers also. These questions will act as chapter wise test papers for Class 9 Mathematics. These Important Questions for Class 9 Mathematics are as per latest NCERT and CBSE Pattern syllabus and assure great success in achieving high score in Board Examinations
Class 9 Maths Marks Distribution | |
---|---|
Units | Marks |
Number Systems | 08 |
Algebra | 17 |
Coordinate Geometry | 04 |
Geometry | 28 |
Mensuration | 13 |
Statistics & Probability | 10 |
Total | 80 |
Internal Assessment | 20 |
Grand Total | 100 |
Maths Topics to be covered for Class 9
Structure of CBSE Maths Sample Paper for Class 9 is
Type of Question | Marks per Question | Total No. of Questions | Total Marks |
---|---|---|---|
Objective Type Questions | 1 | 20 | 20 |
Short Answer Type Questions - I | 2 | 6 | 12 |
Short Answer Type Questions - II | 3 | 8 | 24 |
Long Answer Type Questions | 4 | 6 | 24 |
Total | 40 | 80 |
For Preparation of exams students can also check out other resource material
CBSE Class 9 Maths Sample Papers
CBSE Class 9 Maths Worksheets
CBSE Class 9 Maths Question Papers
CBSE Class 9 Maths Test Papers
CBSE Class 9 Maths Revision Notes
Importance of Question Bank for Exam Preparation?
There are many ways to ascertain whether a student has understood the important points and topics of a particular chapter and is he or she well prepared for exams and tests of that particular chapter. Apart from reference books and notes, Question Banks are very effective study materials for exam preparation. When a student tries to attempt and solve all the important questions of any particular subject , it becomes very easy to gauge how much well the topics have been understood and what kind of questions are asked in exams related to that chapter.. Some of the other advantaging factors of Question Banks are as follows
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15 questions mcq test - case based questions test: polynomials - 1, direction: read the following text and answer the following questions on the basis of the same: the below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. a parabolic arch is an arch in the shape of a parabola. in structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms. if the sum of the roots is –p and product of the roots is then the quadratic polynomial is.
x2 - (Sum of roots)x + Product of roots
Putting values
We can multiply any constant to this polynomial
So, required quadratic polynomial is
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y = x 2 + 1
Direction: Read the following text and answer the following questions on the basis of the same: The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
In the standard form of quadratic polynomial, ax 2 + bx, c, a, b and c are
All are real numbers.
All are rational numbers.
‘a’ is a non zero real number and b and c are any real numbers.
All are integers.
It can be written in the standard form ax2 + bx + c , where x is a variable, a, b, c are constants (numbers) and a = 0. The constants a, b, c are called the coefficients of the polynomial. A quadratic polynomial ax 2 + bx + c is called sometimes a quadratic trinomial.
Direction: Read the following text and answer the following questions on the basis of the same:
The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
If α are 1/α the zeroes of the quadratic polynomial 2x 2 – x + 8k, then k is
Product of zeroes = c/a = 8k/2
So, 8k/2 = 1
Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
What will be the expression of the polynomial?
Hence, the expression is (x + 3)(x + 1)(x – 2)
= [x 2 + x + 3x + 3](x – 2)
= x 3 + 4x 2 + 3x – 2x 2 – 8x – 6
= x 3 + 2x 2 – 5x – 6
The graph of parabola opens upwards, if _______
The three zeroes in the above shown graph are
2, 3, –1
–2, 3, 1
–3, –1, 2
–2, –3, –1
Zeroes are the values of x where graph intersects the x-axis
∴ Zeroes are -3, -1 and 2
The shape of the path traced shown is
Direction: Read the following text and answer the following questions on the basis of the same: Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
In the above graph, how many zeroes are there for the polynomial?
The number of zeroes of polynomial is the number of times the curve intersects the x-axis, i.e. attains the value 0. Here, the polynomial meets the x-axis at 3 points. So, number of zeroes = 3.
If the product of the zeroes of the quadratic polynomial p(x) = ax 2 – 6x – 6 is 4, then the value of a is:
p(x) = ax 2 – 6x – 6
Let α and β be the zeroes of the given polynomial, then
i.e., 4 = -6/a
Since the graph does not intersect the X-axis, therefore it has no zero.
If a and b are the zeroes of the quadratic polynomial p(x) = 4x 2 + 5x + 1, then the product of zeroes is:
∴ αβ = c/a = 1/4.
If a linear polynomial is 2x + 3, then the zero of 2x + 3 is:
Let p(x) = 2x + 3
For a zero of p(x), 2x + 3 = 0
If α and β are the zeroes of the quadratic polynomial x 2 – 5x + k such that α – β = 1, then the value of k is:
and αβ = k/1 = k
Also given, α – β = 1
⇒ 25 – 4k = 1(Squaring both sides)
⇒ – 4k = 1 – 25 = – 24
Case based questions test: polynomials - 1 mcqs with answers, online tests for case based questions test: polynomials - 1.
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Case study questions for class 9 maths chapter 9 areas of parallelograms and triangles, case study questions for class 9 maths chapter 6 lines and angles, case study questions for class 9 maths chapter 7 triangles, case study questions for class 9 maths chapter 5 introduction to euclid’s geometry, case study and passage based questions for class 9 maths chapter 14 statistics, case study questions for class 9 maths chapter 1 real numbers, case study questions for class 9 maths chapter 4 linear equations in two variables, case study questions for class 9 maths chapter 3 coordinate geometry, case study questions for class 9 maths chapter 15 probability, case study questions for class 9 maths chapter 13 surface area and volume, case study questions for class 9 maths chapter 10 circles, case study questions for class 9 maths chapter 9 quadrilaterals, case study questions for class 9 maths chapter 2 polynomials.
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Hello students, we are providing case study questions for class 9 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 9 maths. In this article, you will find case study questions for CBSE Class 9 Maths Chapter 6 Lines and Angles. It is a part of Case Study Questions for CBSE Class 9 Maths Series.
Lines and Angles | |
Case Study Questions | |
Competency Based Questions | |
CBSE | |
9 | |
Maths | |
Class 9 Studying Students | |
Yes | |
Mentioned | |
Table of Contents
A math’s teacher was teaching students about intersecting lines.
Suppose AB and CD are two intersecting lines, which meets at point O. In this point O, she draw a line OE and all these lines were making different angles with each other.
After explaining the description of the figure, she asked the following questions from the students.
On the basis of the above information, solve the following questions.
Q 1. Find the measure of ∠BOD.
Q 2. Check whether pair of angles ∠AOC and ∠BOC makes a linear pair.
Q 3. Which of the following angles form a non collinear lines? (i) A, O, B (ii) C, O, E
Q 4. Find the measure of ∠AOE.
1. From figure,
$$ \angle B O D=\angle A O C=35^{\circ} $$
[Vertically opposite angles]
2. From figure, it is clear that
$$ \angle A O C+\angle B O C=180^{\circ} $$
$[\because A B$ is a straight line $]$ Hence, $\angle A O C$ and $\angle B O C$ makes a linear pair.
3. (i) It is clear from the figure that points $A, O$ and $B$ form a collinear points. (ii) It is clear from the figure that points $\mathrm{C}, \mathrm{O}, \mathrm{E}$ forms a non-collinear points.
Hence, points C, O, E form a non-collinear line.
4. From the given figure, $C D$ is a line segment.
Therefore, the sum of all angles of the same side of a line is $180^{\circ}$.
$$ \begin{aligned} & \therefore \angle \mathrm{COA}+\angle \mathrm{AOE}+\angle \mathrm{EOD}=180^{\circ} \\ & \Rightarrow 35^{\circ}+\angle A O E+75^{\circ}=180^{\circ} \\ & \Rightarrow \angle \mathrm{AOE}=180^{\circ}-110^{\circ} \\ & =70^{\circ} \end{aligned} $$
Line: A geometrical object that is straight and extends indefinitely in both directions. Line Segment: A part of a line with two end points. Ray: A part of line with one end point. Collinear Points: Three or more points lying on the same line are known as collinear points. Otherwise, they are non-collinear points. Angle: It is formed when two rays originate from the same end point. The rays are called arms and the end point is called vertex.
Types of Angles:
Pair of Angles:
Vertically Opposite Angles: The pair of angles lying on the opposite sides of the point of intersection. In figure, (∠AOC and ∠BOD) and (∠AOD and ∠BOC) are pairs of vertically opposite angles.
Bisector of an Angle: A ray which divides an angle into two equal parts.
Number systems class 9 case study questions maths chapter 1, topics from which case study questions may be asked.
The length of perpendiculars at different points on the parallel lines is same.
Case study questions from the above given topic may be asked.
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Q1: what are the different types of angles.
A1: Angles are classified based on their measures: Acute Angle : Measures less than 90°. Right Angle : Measures exactly 90°. Obtuse Angle : Measures more than 90° but less than 180°. Straight Angle : Measures exactly 180°. Reflex Angle : Measures more than 180° but less than 360°.
A2: Complementary Angles : Two angles are complementary if their sum is 90°. Supplementary Angles : Two angles are supplementary if their sum is 180°.
A3: A linear pair of angles is formed when two adjacent angles add up to 180°. The angles in a linear pair are always supplementary.
A4: The Angle Sum Property states that the sum of the interior angles of a triangle is always 180°.
A5: Parallel Lines : Two lines that are equidistant from each other and never intersect. Transversal : A line that intersects two or more lines at distinct points. When a transversal cuts through parallel lines, it forms angles with specific relationships, like corresponding, alternate interior, and alternate exterior angles.
A6: When a transversal intersects two parallel lines, the corresponding angles formed are equal. This property helps in proving that the lines are parallel and in solving various geometrical problems.
A8: We provide case study questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
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Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 2 Polynomials. Case Study/Passage Based Questions. Ankur and Ranjan start a new business together. The amount invested by both partners together is given by the polynomial p (x) = 4x 2 + 12x + 5, which is the product of their individual shares.
Q. 2. Find the total width of the glass portion of the door (in inches). Q. 3. Write the polynomial representation of the area top half part of the door. Q. 4. Find the zeroes of the polynomial representing the area. 1. The total length of the glass portion in the door is represented by ( 5 x + 14) inches.
Case Study Questions Question 1: On one day, principal of a particular school visited the classroom. Class teacher was teaching the concept of polynomial to students. He was very much impressed by her way of teaching. To check, whether the students also understand the concept taught by her or not, he asked variousquestions to students. … Continue reading Case Study Questions for Class 9 ...
Download Class 9 Maths Case Study Questions to prepare for the upcoming CBSE Class 9 Exams 2023-24. 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. Case study questions play a pivotal role in enhancing students' problem-solving skills.
CBSE Class 9 Maths Question Bank on Case Studies given in this article can be very helpful in understanding the new format of questions. Each question has five sub-questions, each followed by four options and one correct answer. Students can easily download these questions in PDF format and refer to them for exam preparation. Case Study Questions.
Practice Paper - Case Study Questions CB/IX/2223 Ch 2: Polynomials page 1 of 3 Subject: Mathematics Ch 2: Polynomials Std: IX Attempt all questions Q. No. Case Study 1 1. D.A. School of Delhi decided different types of tours for the students to educate them. So, in class IX, 1/12th times the square of the total number of students planned to visit
Class 9 Mathematics Case study question 2. Read the Source/Text given below and answer any four questions: Maths teacher draws a straight line AB shown on the blackboard as per the following figure. Now he told Raju to draw another line CD as in the figure. The teacher told Ajay to mark ∠ AOD as 2z.
Introduction of CBSE Case Study Questions for Class 9 Maths - Pdf in English is available as part of our Class 9 preparation & CBSE Case Study Questions for Class 9 Maths - Pdf in Hindi for Class 9 courses. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
These tests are unlimited in nature…take as many as you like. You will be able to view the solutions only after you end the test. TopperLearning provides a complete collection of case studies for CBSE Class 9 Maths Polynomials chapter. Improve your understanding of biological concepts and develop problem-solving skills with expert advice.
The only difference between them is that algebraic expressions contain irrational numbers in the powers. A detailed polynomials Class 9 notes are provided here along with some important questions so that students can understand the concept easily. Polynomials Class 9 Notes. To prepare for Class 9 exams, students will require notes to study.
Welcome to our Class 9 Maths exam preparation series for the academic year 2023-24! In this video, we dive deep into Case Study Questions from Chapter 2: Pol...
CBSE Class 9 Maths Board Exam will have a set of questions based on case studies in the form of MCQs.The CBSE Class 9 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends. If you want to want to prepare all the tough, tricky & difficult questions for your upcoming exams, this is ...
Case Study Questions Class 9 Maths Chapter 2. Case Study/Passage-Based Questions. Case Study 1. Ankur and Ranjan start a new business together. The amount invested by both partners together is given by the polynomial p (x) = 4x 2 + 12x + 5, which is the product of their individual shares. Coefficient of x2 in the given polynomial is.
Case Studies In Class 9 Mathematics. The Central Board of Secondary Education (CBSE) has included case study based questions in the Class 9 Mathematics paper in current session. According to new pattern CBSE Class 9 Mathematics students will have to solve case based questions. This is a departure from the usual theoretical conceptual questions ...
These questions will help the 9th class students to get acquainted with a wide variety of questions and develop the confidence to solve polynomial questions more efficiently. 1. Give an example of a monomial and a binomial having degrees of 82 and 99, respectively. Solution: An example of a monomial having a degree of 82 = x 82.
The powers of the variable x are: 3, 2, 1. The degree of 5x 3 +4x 2 +7x is 3, as 3 is the highest power of x in the equation. (ii) 4-y2. Solution: The highest power of the variable in a polynomial is the degree of the polynomial. Here, in 4-y 2, The power of the variable y is 2.
Here you will get complete NCERT Solutions for Class 9 Maths Chapter 2 all exercises Exercise in one place. These solutions are prepared by the subject experts and as per the latest NCERT syllabus and guidelines. CBSE Class 9 Students who wish to score good marks in the maths exam must practice these questions regularly.
Updated for new NCERT - 2023-24 Edition. Solutions to all NCERT Exercise Questions and Examples of Chapter 2 Class 9 Polynomials are provided free at Teachoo. Answers to each and every question is explained in an easy to understand way, with videos of all the questions. In this chapter, we will learn. What is a Polynomial.
These questions will act as chapter wise test papers for Class 9 Mathematics. These Important Questions for Class 9 Mathematics are as per latest NCERT and CBSE Pattern syllabus and assure great success in achieving high score in Board Examinations. Class 9 Polynomials Case Study Questions - Podar International Atoms and Molecules HOTS ...
Notes of CLASS -9 ROSE, Mathematics Polynomials Case Study2 - Study Material. Experience Teachmint X - AI driven Interactive Flat Panels and Smart Boards ... Find the value of P(x) = 3x7 414x421 atx=1. | |, , (25 by 10) 15 (@) 20, , CASE STUDY - It, , Orphanage owners often need extra support. By helping such organisations to take, 'on more ...
Detailed Solution for Case Based Questions Test: Polynomials - 1 - Question 4. It can be written in the standard form ax2 + bx + c , where x is a variable, a, b, c are constants (numbers) and a = 0. The constants a, b, c are called the coefficients of the polynomial. A quadratic polynomial ax 2 + bx + c is called sometimes a quadratic trinomial.
Chapter 2 Polynomials Class 9 Maths NCERT Solutions PDF download is very useful in understanding the basic concepts embedded in the chapter. It is very essential to solve every question before moving further to any other supplementary books.
May 10, 2022 January 8, 2023 Physics Gurukul Leave a Comment on Case Study Questions for Class 9 Maths Chapter 2 Polynomials. Case Study Questions for Class 9 Maths Chapter 2 Polynomials. NCERT Books & Solutions. NCERT Books 2023-24. NCERT Solutions. NCERT Notes. ... Case Study Questions for Class 9 Science Chapter 1 Matter in Our Surroundings;
A8: We provide case study questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.