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Maharashtra SSC Class 10 Algebra March 2026 question paper

Maximum marks 40 · Time 2 hours

Try each question first, then open its model answer. Where the paper offers a choice, both questions are shown with OR between them.

Q.1 (A)

1 mark each

  1. Q.1 (A) (i)1 mark
    Rate of GST on essential commodities is ____.

    Tap an option to check your answer.

  2. Q.1 (A) (ii)1 mark
    Out of the following equations which one is not a quadratic equation?

    Tap an option to check your answer.

  3. Q.1 (A) (iii)1 mark
    To draw graph of 4x+5y=194x + 5y = 19, find the value of yy when x=1x = 1.

    Tap an option to check your answer.

  4. Q.1 (A) (iv)1 mark
    Sum of first five multiples of 3 is ____.

    Tap an option to check your answer.

Q.1 (B)

1 mark each

  1. Q.1 (B) (i)1 mark
    On certain article if rate of CGST is 9%9\%, then what is the rate of GST?
  2. Q.1 (B) (ii)1 mark
    For simultaneous equations in variables xx and yy, if Dx=−42D_x = -42 and D=−3D = -3, then find the value of xx.
  3. Q.1 (B) (iii)1 mark
    When two coins are tossed simultaneously, write the sample space SS.
  4. Q.1 (B) (iv)1 mark
    Write the following quadratic equation in the form ax2+bx+c=0ax^2 + bx + c = 0: 2y=10−y22y = 10 - y^2.

Q.2 (A)

2 marks each · attempt any 2

  1. Q.2 (A) (i)2 marks
    If one die is rolled, then complete the activity to find the probability of the event that the number on the upper face is prime.
  2. Q.2 (A) (ii)2 marks
    Write the correct numbers in the boxes from the given A.P.: 70,60,50,40,…70, 60, 50, 40, \ldots Complete the activity to find t1, t3, at_1,\ t_3,\ a and dd.
  3. Q.2 (A) (iii)2 marks
    Complete the following table to draw the graph of the equation x+y=3x + y = 3:
    xx3
    yy5
    (x,y)(x, y)

Q.2 (B)

2 marks each · attempt any 4

  1. Q.2 (B) (i)2 marks
    If two coins are tossed simultaneously, find the probability of the event "getting at least one head."
  2. Q.2 (B) (ii)2 marks
    Solve the following simultaneous equations: x+y=4x + y = 4; 2x−y=22x - y = 2.
  3. Q.2 (B) (iii)2 marks
    Solve the following quadratic equation by factorisation method: x2+x−20=0x^2 + x - 20 = 0.
  4. Q.2 (B) (iv)2 marks
    Given A.P. is 12,16,20,24,…12, 16, 20, 24, \ldots Find the 24th term of this progression.
  5. Q.2 (B) (v)2 marks
    If ∑xifi=1265\sum x_i f_i = 1265 and N=50N = 50, then find the mean of the given data.

Q.3 (A)

3 marks each · attempt any 1

  1. Q.3 (A) (i)3 marks
    Shreekar bought a Laptop with 10%10\% discount on printed price. The printed price of that Laptop was ₹ 50,000\text{₹}\,50{,}000. 18%18\% GST was charged on discounted price. Complete the activity to find the amount of CGST and SGST. What amount did Shreekar pay?
  2. Q.3 (A) (ii)3 marks
    One of the roots of the quadratic equation 5m2+2m+k=05m^2 + 2m + k = 0 is −75\dfrac{-7}{5}. Complete the activity to find the value of kk.

Q.3 (B)

3 marks each · attempt any 2

  1. Q.3 (B) (i)3 marks
    Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.
  2. Q.3 (B) (ii)3 marks
    Sachin invested some amount in a National Saving Certificate Scheme. In the first year he invested ₹ 5,000\text{₹}\,5{,}000, in the second year ₹ 7,000\text{₹}\,7{,}000, in the third year ₹ 9,000\text{₹}\,9{,}000 and so on. Find the total amount that he invested in 12 years.
  3. Q.3 (B) (iii)3 marks
    There are six cards in a box, each bearing a number from 0 to 5. Find the probability of each of the following events, that: (1) The number on the card drawn is a natural number. (2) The number on the card drawn is a whole number.
  4. Q.3 (B) (iv)3 marks
    Draw a histogram of the following data:
    Height of Students (cm)No. of Students
    135–1404
    140–14512
    145–15016
    150–1558

Q.4

4 marks each · attempt any 2

  1. Q.4 (i)4 marks
    The sum of two roots of a quadratic equation is 7 and sum of their cubes is 91, find the equation.
  2. Q.4 (ii)4 marks
    Smt. Tejaswini purchased 100 shares of FV ₹ 80\text{₹}\,80 when the MV is ₹ 900\text{₹}\,900. She paid brokerage at the rate of 0.5%0.5\% and 18%18\% GST on brokerage. Find the following: (1) Net amount paid for 100 shares. (2) Brokerage paid on sum invested. (3) GST paid on brokerage. (4) Total amount paid for 100 shares.
  3. Q.4 (iii)4 marks
    The following table shows the funds collected by 105 students for flood affected people. Find the median of the data.
    Fund (Rupees)No. of Students
    10–2010
    20–3037
    30–4015
    40–5020
    50–607
    60–708
    70–808

Q.5

3 marks each · attempt any 1

  1. Q.5 (i)3 marks
    A survey was conducted in the school. Student using different modes of transport is given below:
    Mode of TransportPercentage of Students
    Bicycle35
    Busaa
    Railway2a2a
    Rickshaw20
    Find the value of aa and draw the Pie diagram.
  2. Q.5 (ii)3 marks
    There are some students in group A and group B. If one student goes from group A to group B, then the number of students in both groups is same. But if one student goes from group B to group A, then the number of students in group A becomes twice of group B. Find the number of students in each group.