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Maharashtra SSC Class 10 Algebra June 2026 question paper

Maximum marks 40 · Time 2 hours

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Q.1 (A)

1 mark each

  1. Q.1 (A) (i)1 mark
    For solving the simultaneous equations x+y=3x + y = 3, 3x−2y=43x - 2y = 4. Find the value of determinant DD.

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  2. Q.1 (A) (ii)1 mark
    One of the roots of equation x2+mx−5=0x^2 + mx - 5 = 0 is 2, find the value of mm.

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  3. Q.1 (A) (iii)1 mark
    Rate of GST on brokerage is ____.

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  4. Q.1 (A) (iv)1 mark
    The classification of persons based on blood groups is to be shown by a pie diagram. The persons having blood group O are 40%40\%. What should be the measure of angle for the persons having O blood group?

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Q.1 (B)

1 mark each

  1. Q.1 (B) (i)1 mark
    If 15x+17y=2115x + 17y = 21 and 17x+15y=1117x + 15y = 11, then find the value of x+yx + y.
  2. Q.1 (B) (ii)1 mark
    Find the first term and common difference of the given A.P. 5,1,−3,−7,…5, 1, -3, -7, \ldots
  3. Q.1 (B) (iii)1 mark
    Two coins are tossed simultaneously. Write the sample space (S)(S) and the number of sample points n(S)n(S).
  4. Q.1 (B) (iv)1 mark
    Find Mean (Xˉ)(\bar{X}) if ∑xifi=1265\sum x_i f_i = 1265 and ∑fi=50\sum f_i = 50.

Q.2 (A)

2 marks each · attempt any 2

  1. Q.2 (A) (i)2 marks
    Complete the following table to draw the graph of equation x−y=1x - y = 1.
    xx0
    yy0−3-3
    (x,y)(x, y)(0,−1)(0, -1)(−2,−3)(-2, -3)
  2. Q.2 (A) (ii)2 marks
    Complete the following table by writing suitable numbers and words.
    Sr. No.FVShare is atMV
    (1)₹ 100\text{₹}\,100Par₹\text{₹}
    (2)₹\text{₹}Premium ₹ 500\text{₹}\,500₹ 575\text{₹}\,575
    (3)₹ 10\text{₹}\,10₹ 5\text{₹}\,5
    (4)₹ 300\text{₹}\,300₹ 310\text{₹}\,310
  3. Q.2 (A) (iii)2 marks
    Complete the following activity to find the probability of getting tail when one coin is tossed.

Q.2 (B)

2 marks each · attempt any 4

  1. Q.2 (B) (i)2 marks
    Solve the following simultaneous equations: 5x+3y=95x + 3y = 9; 2x−3y=122x - 3y = 12.
  2. Q.2 (B) (ii)2 marks
    Form the quadratic equation whose roots are 3 and −10-10.
  3. Q.2 (B) (iii)2 marks
    'Pawan Medical' supplies medicines. On some medicines the rate of GST is 12%12\%, then what is the rate of CGST and SGST?
  4. Q.2 (B) (iv)2 marks
    Solve the following quadratic equation by factorisation method: 25m2=925m^2 = 9.
  5. Q.2 (B) (v)2 marks
    If one die is rolled, then write the sample space (S)(S), n(S)n(S), event A in the set form and n(A)n(A). Event A: getting odd number on the upper face.

Q.3 (A)

3 marks each · attempt any 1

  1. Q.3 (A) (i)3 marks
    M/s. Jay Chemicals purchased a liquid soap having taxable value ₹ 8,000\text{₹}\,8{,}000 and sold it to the consumers for the taxable value ₹ 10,000\text{₹}\,10{,}000. Rate of GST is 18%18\%. Complete the activity to find the CGST and SGST payable by M/s. Jay Chemicals.
  2. Q.3 (A) (ii)3 marks
    Complete the following activity to find, 'how many three digit natural numbers which are divisible by 5'. Three digit natural numbers divisible by 5 are as follows: 100,105,110,…,995100, 105, 110, \ldots, 995.

Q.3 (B)

3 marks each · attempt any 2

  1. Q.3 (B) (i)3 marks
    Solve the following simultaneous equations by Cramer's rule: x+2y=−1x + 2y = -1; 2x−3y=122x - 3y = 12.
  2. Q.3 (B) (ii)3 marks
    Solve the following quadratic equation by formula method: x2−3x−2=0x^2 - 3x - 2 = 0.
  3. Q.3 (B) (iii)3 marks
    Electricity used by some families is shown in the following table. Find the mode of electricity used.
    Use of Electricity (Units)No. of Families
    0–2013
    20–4050
    40–6070
    60–80100
    80–10080
    100–12017
  4. Q.3 (B) (iv)3 marks
    A two digit number is formed using digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is: (a) an odd number. (b) a multiple of 5.

Q.4

4 marks each · attempt any 2

  1. Q.4 (i)4 marks
    The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table.
    Result (Percentage)No. of Students
    30–407
    40–5033
    50–6045
    60–7065
    70–8047
    80–9018
    90–1005
  2. Q.4 (ii)4 marks
    The sum of the squares of five consecutive natural numbers is 1455. Find the numbers.
  3. Q.4 (iii)4 marks
    Ajay Sharma repays the borrowed amount of ₹ 3,25,000\text{₹}\,3{,}25{,}000 by paying ₹ 30,500\text{₹}\,30{,}500 in the first month and then decreases the payment by ₹ 1,500\text{₹}\,1{,}500 every month. How long will it take to clear his amount?

Q.5

3 marks each · attempt any 1

  1. Q.5 (i)3 marks
    If the point (2,1)(2, 1) lies on the graph of the equation x+ay=4x + ay = 4, then find the value of aa and draw the graph of the equation so obtained.
  2. Q.5 (ii)3 marks
    The following pie diagram represents the number of valid votes obtained by four students; who contested for school captain. The total of valid votes polled was 720. Answer the following questions: (a) Who has won the election? (b) What is the minimum number of votes? Who got it? (c) By how many votes did the winner defeat the nearest contestant?