Maharashtra SSC Class 10 Algebra March 2025 question paper with answers

Q.1 (A)

1 mark each

Q.1 (A) (i)1 mark $\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}$
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Q.1 (A) (ii)1 mark $From the following equations which one is the quadratic equation?$
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Q.1 (A) (iii)1 mark $4, 4, 4, \ldots$
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Q.1 (A) (iv)1 mark $Which number cannot represent a probability?$
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Q.1 (B)

1 mark each

Q.2 (A)

2 marks each · attempt any 2

Q.2 (A) (i)2 marks $x + 2y = 4$
Q.2 (A) (ii)2 marks $5$
Q.2 (A) (iii)2 marks $Pushpmala has invested ₹24,000 and purchased shares of FV ₹20 at a premium of ₹4. Complete the following activity to find the number of shares she purchased.$

$x$	$-2$
$y$		$1$
$(x, y)$

Q.2 (B)

2 marks each · attempt any 4

Q.2 (B) (i)2 marks $x + y = 3$
Q.2 (B) (ii)2 marks $m^2 + 14m + 13 = 0$
Q.2 (B) (iii)2 marks $7, 13, 19, 25, \ldots$
Q.2 (B) (iv)2 marks $A share is sold for the market value of ₹2,000. Brokerage is paid at the rate of 0.5%. What is the amount received after the sale?$
Q.2 (B) (v)2 marks $(x_i)$

Class Time (in hours)	Class Mark $(x_i)$	No. of Students $(f_i)$	$f_i x_i$
0–2	1	8	8
2–4	3	14	42
4–6	5	18	90
6–8	7	10	70
8–10	9	10	90

Q.3 (A)

3 marks each · attempt any 1

Q.3 (A) (i)3 marks $Shri Maniklal has purchased 300 shares of F.V. ₹100, for M.V. ₹120. Company has paid dividend at 7%. Complete the following activity to find the rate of return on his investment.$
Q.3 (A) (ii)3 marks $A two digit number is to be formed from the digits 2, 3, 5 without repetition of the digits. Complete the following activity to find the probability that the number so formed is an odd number.$

Q.3 (B)

3 marks each · attempt any 2

Q.3 (B) (i)3 marks $4x + 3y = 18$
Q.3 (B) (ii)3 marks $x^2 - 2x - 3 = 0$
Q.3 (B) (iii)3 marks $A committee of two members is to be formed from three boys and two girls. Find the probability of the following events: Event A: At least one girl must be a member of the committee. Event B: Committee must be of one boy and one girl.$
Q.3 (B) (iv)3 marks $In a general store the prices of different articles and its demand is shown in the following frequency distribution table. Find the Median of the prices. Price in Rupees No. of Articles Less than 20 140 20-40 100 40-60 80 60-80 60 80-100 20$

Q.4

4 marks each · attempt any 2

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

Q.5

3 marks each · attempt any 1

Q.5 (i)3 marks $2x = y + 2$
Q.5 (ii)3 marks $The following pie-diagram shows percentage of persons according to blood group in a blood group checking camp. Answer the following questions: (a) Find the measure of central angle for each blood group. (b) Find the total number of persons, if there are 600 persons of blood group B.$