CBSE stands for Central Board of Secondary Education. It conducts exams for Class 9 and takes the responsibility of creating the CBSE Syllabus for Class 9 Maths. All students are encouraged and advised to have detailed knowledge regarding the CBSE Class 9 Maths syllabus in order to have a clear and concise idea about the exam pattern, upcoming exams, and marking scheme. In this article, students will know about the CBSE Class 9 Maths question paper details for the academic year 2021-22. These details include the names of the units, main topics, marking scheme, practical examples.
CBSE aims at enhancing the student’s ability to solve numerical day-to-day life problems and mathematical reasoning. It allows students to solve problems using algebraic methods and trigonometry concepts of height and distances. The secondary stage curriculum includes Algebra, Geometry, Trigonometry, Mensuration, Statistics, and Graphs and Coordinate Geometry. It allows students to develop good skills and understanding related to algebra. It further adds to developing good drawing skills.
CBSE Class 9 Mathematics Question Paper Design:
The format and marking scheme for Class 9 Maths is as follows:
| S.No. | Typology of Questions | Total Marks | % Weightage (Approx.) |
| 1 | Remembering: Contains basic concepts, terms, facts, memory-based questions, and answers Understanding: Demonstrate the basic concepts and understanding, translating, comparing, organizing the facts and ideas, giving descriptions, and stating the main ideas | 43 | 54 |
| 2 | Applying: Solving numerical problems by applying formulas, techniques, facts, rules, and knowledge | 19 | 24 |
| 3 | Analyzing: Examine and break the question into different parts to determine the motive and cause. Find evidence to support the answer. Evaluating: Present the answer descriptively and concisely with the validity of ideas, good understanding Defend your problem-solving approach. Creating: Compile all the information together and form smaller patterns to present it in a good way. | 18 | 22 |
| Total | 80 | 100 |
The table above consists of three different sections, A, B, and C. The question paper comprises 40 questions in total. The first section of the question paper consists of three divisions, namely, MCQs, fill-in-the-blanks, and short answer type questions. Section B consists of short type questions, and the last section D consists of long answer type questions or numerical problems.
CBSE 9th Class Maths unit-wise marks distribution:
As students already know, the two-term distribution of the syllabus is as follows: the first-Term consists of 7 chapters and the second term has 5 chapters. The chapter-wise marking scheme is as follows:
| Units | Unit Name | Marks |
| I | Number Systems | 08 |
| II | Algebra | 17 |
| III | Coordinate Geometry | 04 |
| IV | Geometry | 28 |
| V | Mensuration | 13 |
| VI | Statistics and Probability | 10 |
| Total | 80 | |
| Internal Assessment | 20 | |
| Grand total | 100 |
CBSE 9th Class Maths Chapter-wise Period Distribution:
| Units | Unit Name | Chapter Name | Periods |
| I | Number Systems | Real Number | 16 |
| II | Algebra | Polynomials | 23 |
| Pair of Linear Equations in Two Variables | 14 | ||
| III | Coordinate Geometry | Coordinate Geometry | 06 |
| IV | Geometry | Introduction to Euclid’s Geometry | 06 |
| Lines and Angles | 13 | ||
| Circles | 15 | ||
| Constructions | 10 | ||
| Triangles | 20 | ||
| Quadrilaterals | 10 | ||
| Area | 07 | ||
| V | Mensuration | Areas | 04 |
| Surface Areas and Volumes | 12 | ||
| VII | Statistics and Probability | Statistics | 13 |
| Probability | 09 |
The first term of the question paper includes six chapters, and the second term of the question paper has five chapters. The chapter “Geometry” has the highest weightage of 28 marks. Other important chapters are Algebra, Mensuration, and Statistics and Probability. The internal assessment holds a weightage of 20 marks, 10 marks for the first and second terms respectively. The internal assessment is further divided into three divisions, listed as follows:
| Internal Assessment | Marks |
| Pen Paper Test and Multiple Assessment (5+5) | 10 |
| Portfolio | 05 |
| Lab Practical | 05 |
Approach to solving the CBSE questions of Class IX Maths:
The first division of Section A is MCQs (Multiple Type Questions). Each MCQ consists of four options. Students will have to select the right option by solving the problem. It might consist of questions related to linear equations, HCF/LCM concepts, prime numbers, or trigonometry. These are generally the easiest questions. So, students are advised to start with the MCQs first.
Once students are done with these questions, they can move on to the next part of Section A. The next part includes “fill-in-the-blanks” questions. A couple of questions might consist of diagrammatic representations, and students will have to solve equations to answer the question. Like MCQs, these questions are also easier than other types of questions.
The last part of Section A consists of short answer type questions of 1 mark each. They are also easy to attempt. So, overall, we can say that Section A is easy, and students can secure good marks if they perform well in Section A.
Section B consists of short type questions of 2 or 3 marks each. The difficulty level is easy to moderate. Students are advised to attempt this section after completing Section A. Section C includes long answer type questions, moderate to high-level in difficulty. This section is considered the most difficult as compared with other sections. Although students are advised to attempt this section at last, if they are confident in the long questions, they can attempt it first. The last section is usually based on practical calculations and lengthy problems.
FAQs of Class IX CBSE Maths
1. Find the decimal expansion of 58/1000.
Sol: The decimal expansion of 58/1000 is as follows:
58/1000 = 0.058 (Decimal point is shifted three places to the left)
2. Find the value of k, if x-2 is a factor of p(x) = x2 +kx +2k.
Sol: (x-2) is a factor of p(x) = x2 +kx + 2k
P (2) = 0
(2)2 +k (2) + 2k = 0
4 + 2k + 2k = 0
4 + 4k = 0 K = -1
3. When 5 times the larger of the two numbers is divided by the smaller, the quotient and remainder are 2 and 9 respectively. Form a linear equation in two variables. Write it in standard form.
Sol: Let the larger number be x,
then 5 times of larger number = 5x
and smaller numbers be y.
quotient = 2
remainder = 9
So, according to the question, 5x = 2y + 9
= 5x – 2y – 9 = 0
4. A cuboidal water tank is 6m long, 10 m wide and 4.5 m deep. How many liters of water can it hold?
Sol: Given, length of cuboidal tank = 6m
Width of cuboidal tank = 10 m
Depth of cuboidal tank = 9.5 m
So, volume = l x b x h = 6 x 10 x 4.5 = 270 m3.
1 m3 = 1000 litre
And capacity of water tank in litre = 270 x 1000 = 270000 litre.
5. Factorize: 20 x2 – 9x + 1
Sol: 20 x2 – 9x + 1 = 20 x2 – 5x – 4x + 1
= 5x (4x – 1) – 1 (4x – 1)
= (4x – 1) (5x – 1)