Maharashtra HSC Math Important Questions 2026

Never Miss an Exam Update

Subscribe Now

Maharashtra HSC Math Important Questions 2026 are helpful to prepare for the board exam. Practicing these questions will be beneficial for revision of the syllabus. Solving these important questions will also enable you to find out the topics in which you need to pay more attention. Accordingly, you can go through the related chapters again. Here, we have provided the marks-wise important questions, which will help you to get an idea about the types of questions, difficulty level, and more. Moreover, by practicing these questions, you will learn to manage time too and accordingly, you can plan to solve questions in board exams. Go through the article to solve Maharashtra HSC Math Important Questions 2026.

Also Read Maharashtra HSC Mathematics Syllabus 2025-26

Maharashtra HSC Math Important Questions 2026 for 2 Marks

Question 1. The principal solutions of the equation cos θ = 1/2 are _______.

(A) π/6, 5π/6         (B) π/3, 5π/3             (C) π/6, 7π/6                 (D) π/3, 2π/3

Question 2. A particle is moving along x-axis. Its acceleration at time t is proportional to its velocity at that time. Find the differential equation of the motion of the particle.

Question 3. The maximum value of the function f(x) = log x/x is _______.

(A) e             (B) 1/e                 (C) e ² (D) 1/e ²

Question 4. Answer the following questions:

(i) Find the principal value of cot–1 (1/√3)

(ii) Write the separate equations of lines represented by the equation 5x ² – 9y ² = 0

(iii) If f'(x) = x –1, then find f(x)

Maharashtra HSC Math Important Questions 2026 for 2 Marks

Question 1. If f(x) = 1 – x, for 0 < x < 1 = k, for x = 0 is continuous at x = 0, then k = ______.

(A) 0             (B) –1                 (C) 2                 (D) 1

Question 2. Find the cartesian equation of the plane passing through A(1, 2, 3) and the direction ratios of whose normal are 3, 2, 5.

Question 3. Show that the points A(–7, 4, –2), B(–2, 1, 0) and C (3, –2, 2) are collinear.

Question 4. If the mean and variance of a binomial distribution are 18 and 12 respectively, then the value of n is _______.

(A) 36 (B) 54 (C) 18 (D) 27

Question 5. Find the area of the region bounded by the curve y = x ² and the lines x = 1, x = 2 and y = 0.

Question 6. Write the equation of the plane 3x + 4y – 2z = 5 in the vector form

Maharashtra HSC Math Important Questions 2026 for 3 Marks

Question 1. The equation of a line is 2x – 2 = 3y + 1 = 6z – 2, find its direction ratios and also find the vector equation of the line.

Question 2. The probability distribution of a random variable X, the number of defects per 10 meters of a fabric is given by

Question 3. The surface area of a spherical balloon is increasing at the rate of 2 cm ² /sec. At what rate the volume of the balloon is increasing when the radius of the balloon is 6 cm?

Question 4. If f(x) = kx, 0 < x < 2 = 0, otherwise, is a probability density function of a random variable X, then find:

1. Value of k.
2. P(1 < X < 2)

Question 5. If angle between the lines represented by ax ² +2hxy+by ² = 0 is equal to the angle between the lines represented by 2x ² -5xy+3y ² =0, then show that 100(h ² -ab) = (a+b) ²

Question 6. A wire of length 36 meters is bent to form a rectangle. Find its dimensions if the area of the rectangle is maximum.

Also Read Maharashtra HSC Mathematics Exam Pattern 2026

Maharashtra HSC Math Important Questions 2026 for 4 Marks

Question 1. Solve the following system of equations by the method of inversion x y + z = 4, 2x + y 3z = 0, x + y + z = 2

Question 2. Solve the L.P.P. by graphical method,

Minimize z = 8x + 10y

Subject to 2x + y>7,

2x + 3y>15,

y>2, x>0

Question 3. Find the area of region between parabolas y ² =4ax and x ² =4ay.

Question 4 . Prove that a homogeneous equation of degree two in x and y i.e. ax ² + 2hxy + by ² = 0 represents a pair of lines passing through the origin, if h ² –ab>0.

Question 5. A coin is tossed 8 times. Find the probability that:

1. it shows no head
2. it shows head at least once.

How many important questions should I prepare for the Maharashtra HSC Math exam?

Before going for Maharashtra HSC exams 2026, students should practice a variety of questions from different chapters. Solving a variety of questions for different marks gives students an idea of the questions appearing in board exams. Hence, you should try to solve different kinds of questions to prepare well for board exams. Keep visiting the page to get familiar with the Maharashtra HSC Math important questions 2026. Solve these questions after completing the syllabus and know your preparation level.

Are you feeling lost and unsure about what career path to take after completing 12th standard?

Say goodbye to confusion and hello to a bright future!

Take The Free Test Now

Was this article helpful?

0 Upvotes

0 Downvotes