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Maharashtra SSC Algebra (Mathematics Part I) Board Paper March 2025

Written board papers, 40 marks and 2 hours each: Science & Technology Part 1 and 2, Algebra, Geometry and more.

2025, March 120 minutes 40 marks Save WhatsApp

Sections

Q.1 (A) Choose the correct alternative (4 marks) 4 questions
Q.1 (B) Solve the following subquestions (4 marks) 4 questions
Q.2 (A) Complete and write any two activities (4 marks) 3 questions
Q.2 (B) Solve any four subquestions (8 marks) 5 questions
Q.3 (A) Complete and write any one activity (3 marks) 2 questions
Q.3 (B) Solve any two subquestions (6 marks) 4 questions
Q.4 Solve any two subquestions (8 marks) 3 questions
Q.5 Solve any one subquestion (3 marks) 2 questions

About the March 2025 SSC Algebra board paper

This is the Mathematics Part I (Algebra) paper set by the Maharashtra State Board for the March 2025 Class 10 exam, held on 5 March 2025 (English medium, paper code N 819). It is a 2-hour paper for 40 marks, and calculators are not allowed. It follows the board pattern:

  • Q.1: four MCQs and four one-mark questions
  • Q.2: activities to complete (any two) and short sums (any four)
  • Q.3: one activity and two 3-mark sums
  • Q.4 and Q.5: longer 4-mark and 3-mark problems with internal choice

All six chapters appear. Examples include the graph of x + 2y = 4, Cramer's rule, quadratics by factorisation and by formula, the 19th term of an A.P. and a loan repaid in instalments, shares bought at a premium with brokerage and GSTIN format, forming two-digit numbers and committees for probability, and statistics from a pie diagram of blood groups and a table of marks for 180 students.

How to use this paper

Print it or copy the questions, set a 2-hour timer and solve it on paper first, writing full steps as you would in the exam hall. Then check each answer against the worked solution given for every question and mark yourself honestly. Note which chapters cost you marks and revise them using the Algebra full subject test and the Algebra questions page.

FAQs

Is this board paper free to view?

Yes. The paper and all its worked solutions are free.

Is it the actual board paper?

Yes, it is the March 2025 Maharashtra SSC Algebra paper for the current Balbharati syllabus. Other subjects are on the SSC exam hub.

Chapters covered

Instructions

Solve on paper with a timer, then check against the solutions.

Q.1 (A) Choose the correct alternative (4 marks)

  1. Q.1 (A)(i) \(\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}\). Write the degree of the given determinant.

    1. (A) 1
    2. (B) 2
    3. (C) 3
    4. (D) 4
    1 mark See answer →

  2. Q.1 (A)(ii) From the following equations which one is the quadratic equation ?

    1. (A) \(\dfrac{5}{x} - 3 = x^2\)
    2. (B) \(x(x + 5) = 2\)
    3. (C) \(n - 1 = 2n\)
    4. (D) \(\dfrac{1}{x^2}(x + 2) = x\)
    1 mark See answer →

  3. Q.1 (A)(iii) Find the common difference of the following A.P. : 4, 4, 4, ...

    1. (A) 1
    2. (B) 8
    3. (C) 4
    4. (D) 0
    1 mark See answer →

  4. Q.1 (A)(iv) Which number cannot represent a probability ?

    1. (A) \(\dfrac{2}{3}\)
    2. (B) \(\dfrac{15}{10}\)
    3. (C) 15%
    4. (D) 0.7
    1 mark See answer →

Q.1 (B) Solve the following subquestions (4 marks)

  1. Q.1 (B)(i) If 2x + y = 7 and x + 2y = 11, then find the value of x + y.

    1 mark See answer →

  2. Q.1 (B)(ii) Find the first term of the given sequence : \(t_n = 3n - 4\).

    1 mark See answer →

  3. Q.1 (B)(iii) How many alpha numerals are there in the format of GSTIN ?

    1 mark See answer →

  4. Q.1 (B)(iv) Two coins are tossed simultaneously. Write the sample space S.

    1 mark See answer →

Q.2 (A) Complete and write any two activities (4 marks)

  1. Q.2 (A)(i) Complete the following table to draw the graph of x + 2y = 4.

    Activity :

    x–2____
    y____1
    (x, y)________
    2 marks See answer →

  2. Q.2 (A)(ii) Complete the following activity to form a quadratic equation.

    Activity :

    I am a quadratic equation. → My standard form is ____ . → My roots are 5 and 12. → Sum of my roots ____ . → Product of my roots ____ . → My quadratic equation is ____ .

    2 marks See answer →

  3. Q.2 (A)(iii) Pushpmala has invested ₹ 24,000 and purchased share of FV ₹ 20 at a premium of ₹ 4. Complete the following activity to find the number of shares she purchased.

    Activity :

    FV = ₹ 20
    Premium = ₹ 4
    MV = FV + ____ = 20 + ____ = ₹ 24
    Number of shares = Total investment / MV = 24,000 / ____ = ____ shares.

    2 marks See answer →

Q.2 (B) Solve any four subquestions (8 marks)

  1. Q.2 (B)(i) Solve the following simultaneous equations : x + y = 3; 3x – 2y = 4

    2 marks See answer →

  2. Q.2 (B)(ii) Solve the following quadratic equation by factorisation method : \(m^2 + 14m + 13 = 0\)

    2 marks See answer →

  3. Q.2 (B)(iii) Find the 19th term of the following A.P. : 7, 13, 19, 25, ...

    2 marks See answer →

  4. Q.2 (B)(iv) A share is sold for the market value of ₹ 2,000. Brokerage is paid at the rate of 0.5%. What is the amount received after the sale ?

    2 marks See answer →

  5. Q.2 (B)(v) The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by the students for their studies.

    Class Time (In hours)Class Marks (xi)No. of Students (fi)fixi
    0–21808
    2–431442
    4–651890
    6–871070
    8–1091090
    2 marks See answer →

Q.3 (A) Complete and write any one activity (3 marks)

  1. Q.3 (A)(i) Shri Maniklal has purchased 300 shares of F.V. ₹ 100, for M.V. ₹ 120. Company has paid dividend at 7%. Complete the following activity to find the rate of return on his investment.

    Activity :

    F.V. = ₹ 100, Number of shares = 300, Market value = ₹ 120

    (a) Sum invested = M.V. × No. of shares = ____ × ____ = ₹ 36,000

    (b) Dividend per share = F.V. × rate of dividend = 100 × ____ = ₹ 7
    Total dividend received = 300 × 7 = ₹ ____

    (c) Rate of return = \(\dfrac{\text{Dividend income}}{\text{Sum invested}} \times 100\) = \(\dfrac{2{,}100}{36{,}000} \times 100\) = ____ %.

    3 marks See answer →

  2. Q.3 (A)(ii) A two digit number is to be formed from the digits 2, 3, 5 without repetition of the digits. Complete the following activity to find the probability that the number so formed is an odd number.

    Activity :

    Let S be the sample space.
    S = {23, 25, 32, ____, 52, 53}
    n(S) = ____
    Event A : The number so formed is an odd number.
    A = {23, 25, ____, 53}
    n(A) = 4
    P(A) = ____ / n(S) ............ (Formula)
    P(A) = ____ / 6
    P(A) = ____ / 3.

    3 marks See answer →

Q.3 (B) Solve any two subquestions (6 marks)

  1. Q.3 (B)(i) Solve the following simultaneous equations by Cramer’s rule : 4x + 3y = 18; 3x – 2y = 5

    3 marks See answer →

  2. Q.3 (B)(ii) Solve the following quadratic equation by using formula method : \(x^2 - 2x - 3 = 0\)

    3 marks See answer →

  3. Q.3 (B)(iii) A committee of two members is to be formed from three boys and two girls. Find the probability of the following events :

    Event A : At least one girl must be a member of the committee.
    Event B : Committee must be of one boy and one girl.

    3 marks See answer →

  4. Q.3 (B)(iv) In a general store the prices of different articles and its demand is shown in the following frequency distribution table. Find the Median of the prices.

    Price in RupeesNo. of Articles
    Less than 20140
    20—40100
    40—6080
    60—8060
    80—10020
    3 marks See answer →

Q.4 Solve any two subquestions (8 marks)

  1. Q.4 (i) Find the value of ‘m’ if the quadratic equation \((m - 12)x^2 + 2(m - 12)x + 2 = 0\) has real and equal roots.

    4 marks See answer →

  2. Q.4 (ii) A farmer borrows ₹ 1,000 and agrees to repay with a total interest of ₹ 140, in 12 instalments. Each instalment being less than the preceding instalment by ₹ 10. What should be the amount of his first and last instalment ?

    4 marks See answer →

  3. Q.4 (iii) The following table shows the marks of 180 students in Mathematics.

    MarksNo. of Students
    0—1025
    10—20x
    20—3030
    30—402x
    40—5065

    Find the value of ‘x’ and draw histogram.

    4 marks See answer →

Q.5 Solve any one subquestion (3 marks)

  1. Q.5 (i) Draw the graphs representing the equation 2x = y + 2 and 4x + 3y = 24 on the same graph paper. Find the area of the triangle formed by these lines and the X-axis.

    3 marks See answer →

  2. Q.5 (ii) The following pie-diagram shows percentage of persons according to blood group in a blood group checking camp. Answer the following questions :

    [Pie diagram: O – 45%, B – 30%, A – 20%, AB – 5%]

    (a) Find the measure of central angle for each blood group.
    (b) Find the total number of persons, if there are 600 persons of blood group B.

    3 marks See answer →