Maharashtra SSC Class 10 Algebra July 2024 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.

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Q.1 (A)

1 mark each

Q.1 (A) (i)1 mark $x$
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Q.1 (A) (ii)1 mark $Which equation from the following is a quadratic equation?$
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Q.1 (A) (iii)1 mark $-10, -6, -2, 2, \ldots$
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Q.1 (A) (iv)1 mark $Which number from the following cannot represent probability?$
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Q.1 (B)

1 mark each

Q.1 (B) (i)1 mark $\begin{vmatrix} 5 & -2 \\ -3 & 1 \end{vmatrix}$
Q.1 (B) (ii)1 mark $5, 1, -3, -7, \ldots$
Q.1 (B) (iii)1 mark $Face value of a share is Rs. 100 and premium is Rs. 65, then what is market value of that share?$
Q.1 (B) (iv)1 mark $Write sample space if one die is thrown.$

Q.2 (A)

2 marks each · attempt any 2

Q.2 (A) (i)2 marks $x + 2y = 4$
Q.2 (A) (ii)2 marks $m^2 + 2m + 9 = 0$
Q.2 (A) (iii)2 marks $Smita has invested Rs. 12,000 and purchased shares of FV Rs. 10 at a premium of Rs. 2. Complete the activity to find the number of shares she purchased.$

$x$	$-2$	$0$	?
$y$	?	$2$	$1$
$(x, y)$	?	$(0, 2)$	?

Q.2 (B)

2 marks each · attempt any 4

Q.2 (B) (i)2 marks $x + y = 5$
Q.2 (B) (ii)2 marks $k$
Q.2 (B) (iii)2 marks $Find the 19th term of the following A.P.: 7, 13, 19, 25, ...$
Q.2 (B) (iv)2 marks $The taxable value of a wrist watch belt is Rs. 586. Rate of GST is 18%, then what is the price of the belt for the customer?$
Q.2 (B) (v)2 marks $The annual investments of a family are shown in the following pie diagram. Answer the following questions based on it. (a) If the investment in the shares is Rs. 2,000, find the total investment. (b) How much amount is invested in the Post?$

Q.3 (A)

3 marks each · attempt any 1

Q.3 (A) (i)3 marks $A share is sold for the market value of Rs. 1,000. Brokerage is paid at the rate of 0.1%. Complete the activity to find the amount received after sale.$
Q.3 (A) (ii)3 marks $The numbers 2, 4, 6, 8, 10, 12 are on the surface of one die. If this die is rolled once, then complete the activity to find the probability of getting a number on the upper face which is a perfect square.$

Q.3 (B)

3 marks each · attempt any 2

Q.3 (B) (i)3 marks $4m - 2n = -4$
Q.3 (B) (ii)3 marks $y^2 + \dfrac{1}{3}y = 2$
Q.3 (B) (iii)3 marks $n(S)$
Q.3 (B) (iv)3 marks $In the following table, the toll (in Rs.) paid from 6 am to 6 pm by drivers and the number of vehicles is shown. Find the mean of the toll by 'assumed mean' method. Toll (Rs.) No. of Vehicles 300-400 80 400-500 110 500-600 120 600-700 70 700-800 40$

Toll (Rs.)	No. of Vehicles
300–400	80
400–500	110
500–600	120
600–700	70
700–800	40

Q.4

4 marks each · attempt any 2

Q.4 (i)4 marks $Manisha wants to distribute 540 bananas among some students. If 30 students were more, each would get 3 bananas less. Find the number of students.$
Q.4 (ii)4 marks $₹ 2,000 is invested at 10 percent simple interest. Check at the end of every year whether the interest amount is in A.P. or not. If this is an A.P., then find the interest amount after 10 years.$
Q.4 (iii)4 marks $In one group of students; 10% students got 0 to 20 marks; 20% students got 20 to 40 marks; 35% students got 40 to 60 marks; 20% students got 60 to 80 marks and remaining 30 students got 80 to 100 marks, then: (a) Prepare a grouped frequency distribution table. (b) Find the mode of the marks scored.$

Q.5

3 marks each · attempt any 1

Q.5 (i)3 marks $Draw histogram of the following data: Students I.Q. Number of Students 60-80 4 80-100 12 100-120 16 120-140 8$
Q.5 (ii)3 marks $Using information given in the following figure, find the length and breadth of this rectangle in cm.$

Students I.Q.	Number of Students
60–80	4
80–100	12
100–120	16
120–140	8