Maharashtra SSC Class 10 Algebra March 2019 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 · attempt any 4

Q.1 (A) (i)1 mark $66, 98, 54, 92, 87, 63, 72$
Q.1 (A) (ii)1 mark $5\sqrt{7} \times 2\sqrt{7}$
Q.1 (A) (iii)1 mark $3x + 5y = 9$
Q.1 (A) (iv)1 mark $5$
Q.1 (A) (v)1 mark $2x^{3} + x^{2} - 3x + 4$
Q.1 (A) (vi)1 mark $01\text{-}04\text{-}2016$

Q.1 (B)

2 marks each · attempt any 2

Q.1 (B) (i)2 marks $2x^{3} + 2x$
Q.1 (B) (ii)2 marks $A = \{11, 21, 31, 41\}$
Q.1 (B) (iii)2 marks $25{,}000$

Q.2 (A)

1 mark each

Q.2 (A) (i)1 mark $2, -2, -6, -10, \ldots$
Tap an option to check your answer.
Q.2 (A) (ii)1 mark $x^{2} + 10x - 7 = 0$
Tap an option to check your answer.
Q.2 (A) (iii)1 mark $The tax levied by the Central Government for trading within a state is:$
Tap an option to check your answer.
Q.2 (A) (iv)1 mark $2$
Tap an option to check your answer.

Q.2 (B)

2 marks each · attempt any 2

Q.2 (B) (i)2 marks $12$
Q.2 (B) (ii)2 marks $\begin{vmatrix} 4 & 5 \\ m & 3 \end{vmatrix} = 22$
Q.2 (B) (iii)2 marks $x^{2} + 8x + 15 = 0$

Q.3 (A)

2 marks each · attempt any 2

Q.3 (A) (i)2 marks $12{,}000$
Q.3 (A) (ii)2 marks $The following table shows the daily supply of electricity to different places in a town. To show the information by a pie diagram, find the measures of the central angles of the sectors. Places Supply of electricity (Thousand units) Roads 4 Factories 12 Shops 6 Houses 8 Total 30$
Q.3 (A) (iii)2 marks $S$

Places	Supply of electricity (Thousand units)
Roads	4
Factories	12
Shops	6
Houses	8
Total	30

Q.3 (B)

2 marks each · attempt any 2

Q.3 (B) (i)2 marks $19^{th}$
Q.3 (B) (ii)2 marks $-3$
Q.3 (B) (iii)2 marks $3$

Q.4

3 marks each · attempt any 3

Q.4 (i)3 marks $200$
Q.4 (ii)3 marks $0, 1, 2, 3$
Q.4 (iii)3 marks $85{,}000$
Q.4 (iv)3 marks $x + y = 0$

Q.5

4 marks each · attempt any 1

Q.5 (i)4 marks $180$
Q.5 (ii)4 marks $3\frac{1}{13}$

Marks	Number of Students
0 – 10	25
10 – 20	$x$
20 – 30	30
30 – 40	$2x$
40 – 50	65

Q.6

3 marks each · attempt any 1

Q.6 (i)3 marks $ax + by = 9$

The following frequency distribution table shows the distances travelled by some rickshaws in a day. Observe the table and answer the following questions.

Class (Daily distance travelled in km)	Continuous Classes	Frequency (Number of rickshaws)	Cumulative Frequency (less than type)
60-64	59.5-64.5	10	10
65-69	64.5-69.5	34	44
70-74	69.5-74.5	58	102
75-79	74.5-79.5	82	184
80-84	79.5-84.5	10	194
85-89	84.5-89.5	6	200

Q.6 (ii) (i)3 marks

Which is the modal class? Why?

Q.6 (ii) (ii) $Which is the median class and why?$
Q.6 (ii) (iii) $Write the cumulative frequency (C.F.) of the class preceding the median class.$
Q.6 (ii) (iv) $(h)$