The Maharashtra State Board of Secondary and Higher Secondary Education or MSBSHSE, established in 1965, is an autonomous and statutory body that conducts HSC and SSC Exams in Maharashtra.HSC is the 12 standard exams conducted by the board for Arts, Science, and Commerce students based on a well-designed and comprehensive curriculum. Therefore, it is crucial to do well in this exam as it decides the fate of students seeking admissions into colleges of their choice in their respective streams. Moreover, the HSC exam syllabus is also the base for MH CET preparation for students belonging to the science stream, allowing entry into Govt, aided, and unaided engineering colleges in Maharashtra, depending on the score. Therefore, Noon Academy attempts to clearly understand the syllabus, weightage to respective topics and paper pattern, etc. Thus, preparation for 12 Board and competitive exams becomes an easy sail for students.
The maths syllabus for the 12th standard covers topics like Matrices, Circle, Integration, Differential equations, etc. The syllabus of Class 10 and 11 are prerequisites for class 12 boards. A detailed chart is provided below. In the Academic year- 2021 to 2022, the syllabus was reduced by 25% due to the pandemic situation. The topics deleted are as follows:
- Angle and its measurement
- Trigonometry I
- Determinants and Matrices
- Straight Lines
- Measures of Dispersion
The theory paper is for 80 marks and 20 for practicals. Each student will have to attain 35 percent marks in each subject to pass an exam. For Mathematics theory, one paper of 80 marks gets divided into two Parts of 40 Marks each. The duration of the paper will be 3 hours. The same Answer Sheet gets used for both the parts, and each part consists of 3 questions. For both Part I and II, the pattern is the same.
PART I
Question 1:
This Question 1 is for 12 marks made of two sections (A) and (B): (12 Marks)
(A) These are Multiple Choice Questions. There will be 3 MCQs, each for two marks.
(B) This Question will have five sub-questions, two marks each. Therefore, students need to attempt any 3 out of the given five sub-questions.
Question 2:
This question is for 14 marks divided into two sections (A) and (B) as follows: (14 Marks)
(A) This Question will have three sub-questions, three marks each. Students need to attempt any 2 out of the given three sub-questions.
(B) This Question will have three sub-questions, for four marks each. Students will have to attempt any 2 out of the given three sub-questions.
Question 3:
This question will carry 14 marks divided into two sections, (A) and (B), as follows: (14 Marks)
(A) This Question will have three sub-questions, for three marks each. Students will have to attempt any 2 out of the given three sub-questions.
(B) This Question will have three sub-questions, for four marks each. Students will have to attempt any 2 out of the given three sub-questions.
HSC Mathematics Subject MH Board
Distribution of Marks According to Type of Questions
| Type of Questions | Marks | Marks with Options | Percentage % |
| Objectives | 24 Marks | 32 Marks | 30 Percentage |
| Detailed Answers | 34 Marks | 48 Marks | 40 Percentage |
| Brief Answers | 24 Marks | 48 Marks | 30 Percentage |
| Total | 80 Marks | 116 Marks | 100 Percentage |
Distribution of Marks According to Units (Maths-1)
| Sr. No | Units | Mark Without Option |
| 1 | Mathematical Logic Statements – Introduction, sentences and statement, truth value of statement, open sentences, compound statement, quantifier and quantified statements, logical Connectives etc | 08 Marks |
| 2 | Matrices-Elementary transformation of a matrix, revision of cofactor and minor, elementary row transformation etc | 06 Marks |
| 3 | Trigonometric Functions-Trigonometric equations-general solution of trigonometric equation | 10 Marks |
| 4 | Pair of Straight Lines-Pair of lines passing through origin, combined equation, homogeneous equation, theorem-the joint equation of a pair of lines passing through origin and its converse, acute angle between the lines etc | 07 Marks |
| 5 | Vectors-Revision, Collinearity and coplanarity of Vectors etc | 08 Marks |
| 6 | Three Dimensional Geometry-Direction cosines and direction ratios etc | 04 Marks |
| 7 | Line | 05 Marks |
| 8 | Plane-Equation of plane in normal form etc | 06 Marks |
| 9 | Linear Programming | 04 Marks |
| Total | 585 Marks |
Distribution of Marks According to Units (Maths-2)
| Sr. No | Units | Mark Without Option |
| 1 | Continuity | 06 Marks |
| 2 | Differentiation | 08 Marks |
| 3 | Applications of Derivatives | 08 Marks |
| 4 | Integration-Indefinite integrals-methods of integration, substitution method, integrals of the various types, integration by parts etc | 09 Marks |
| 5 | Definite Integral | 08 Marks |
| 6 | Applications of Definite Integral | |
| 7 | Differential Equations 3 | 08 Marks |
| 8 | Probability Distribution-Probability distribution of a random variable-definition of a random variable, discrete and continuous random variable, | 06 Marks |
| 9 | Binomial Distribution | 05 Marks |
| Total | 58 Marks |
The total marks allotted for Mathematics practical in MH 12 Board is 20. Given below is a list of Practicals :
1. Applications of logic.
2. Inverse of a matrix by adjoint method and hence the solution of the system of linear equations.
3. Inverse a matrix by elementary transformation and hence the solution of the system of linear equations.
4. Solutions of a triangle.
5. Tracing of tangents and normals for circle and parabola.
6. Tracing of tangents and normals for ellipse and hyperbola.
7. Applications of the scalar triple product of vectors.
8. Three-dimensional geometry – line.
9. Three-dimensional geometry – plane.
10. Formations and solutions of LPP.
11. Applications of derivatives (Geometric applications).
12. Applications of derivatives – Rate measure.
13. Applications of derivatives – Maxima and minima
14. Applications of definite integrals – Limit of a sum.
15. Applications of definite integrals – Area.
16. Applications of definite integrals – volume.
17. Applications of differential equations.
18. Bivariate frequency distribution.
19. Expected value, variance, and S.D of a random variable.
20. Binomial distribution.
Few tips to prepare for Maharashtra board class 12th exam 2021are as follows:
- Students should be thorough with the entire syllabus to avoid leaving out any topic.
- Textbooks and reference books prescribed by the board get used along with self-written notes.
- Students should have a consistent plan of study.
- Students should solve as many previous year’s question papers as possible to get used to the pattern.
- Also, they must try to complete the class 12 syllabus in advance to leave time for revision. That will reduce stress and last-minute tension.
FREQUENTLY ASKED QUESTIONS OF CLASS 12 MATHS
Q1. What are the prerequisites for doing well in the Class 12 MH Board mathematics exam?
Ans: A student must have a clear conception of the mathematics syllabus taught in class 11 as many topics are in continuity or base for class 12.
Q2. What is the total weightage of MCQs in the mathematics question paper?
Ans: Total weightage of MCQs is 24 marks, 12 marks each in Unit I and Unit II.
Q3. How to guarantee good marks in Class 12 MH Board Maths?
Ans: The best way to guarantee a good score is by solving as many previous year’s question papers as possible, both solved and unsolved. That way, managing time will also be accessible during the exam.
Q4.What is the passing mark for maths?
Ans: Students have to score just 35 to pass in Maths paper
Q5. What are the total marks allotted for MH Maths Class 12 practicals?
Ans: A total of 20 marks get allotted for practicals, and a student can score that complete by practicing the topics listed above.