### SSC MATHS I BOARD SAMPLE PAPER IMPORTANT PAPER TO PRACTICE SSC MAHARASHTRA BOARD WITH SOLUTION

MATHS I
BOARD SAMPLE PAPER
IMPORTANT PAPER TO PRACTICE
SSC MAHARASHTRA BOARD

WITH SOLUTION

Q. 1. (A) Solve the following questions. (Any four) [ 4 Marks]

(1) If x + y = 14 and 2x - y = 16, then x = ? (2) Find the value of (3) If then find a and b. (4) From one footwear shop, 12 pairs of chappals were sold. The sizes of these chappals are given below. 7, 8, 6, 7, 7, 5, 9, 7, 6, 7, 8, 7. Find their mode. (5) In the given figure, the path from school to Meera's home is given in the form of a direction map. The unit of measurement is 1 cm = 50 metre. Find out how much total distance she will cover from school to home?  (6) Mr. Dubey's payable amount of income tax is Rs. 7,000. He needs to pay education cess at 3 % on income tax. Hence how much total income tax will he bas to pay? Q. 1. B. Solve the following questions. (Any Two) [4 Marks]

(1) The length and breadth of a rectangular field are (2x + 3y) units and (3x - y) units, respectively. Find the perimeter of the field in the form of an algebraic expression. (2) Determine whether (x - 3) is a factor of polynomial x3 - 19x + 30. (3) An information was gathered about 40 families, about the newspaper they subscribe to. The following observations are made: 9 families subscribe to English newspaper, 20 families subscribe to Marathi newspaper, 7 families subscribe to newspapers of both the languages, Represent this information using venn diagram. Find the number of familite not subscribing to any of the newspapers.  Q. 2. A. Choose the correct alternative. [ 4 Marks]

(1) For an A.P., if a = 7 and d = 2.5, then find t12 = ?

(A) 37.5   (B) 34.5 (C) 28.2   (D) 44.5

(2) 28% GST was charged on the scooter having cost Rs. 50,000 then find the amount of CGST charged.

(A) Rs. 8000   (B) Rs. 7500 (C) Rs. 14000   (D) Rs. 7000

(3) If α and β are the roots of the equation 3x2 + x - 10 = 0, then the value of   is ......

(A) 10   (B) (C)     (D)

(4) Two coins are tossed simultaneously. Then the probability of getting at the most one head is .....

(A)    (B) (C)     (D) Q. 2. (B) Solve the following questions. (Any Two) [ 4 marks]

(1) If    and from the given information form the two simultaneous equations in x and y and solve them. (2) Find the sum of all odd numbers between 351 and 373. (3) Solve: 7x2 - 30x - 25 = 0. Q. 3. A. Complete the following activities. (Any two ) [4 Marks]

(1) In the adjoining figure, the arrow rests on any number, after the rotation of the disc. The probability that it will rest on any of the numbers on the disc is equal. Let A be any random event. To find the probability of A, fill in the boxes. (2) Complete the following table.

 Face Value The share is at Market Value (i) Rs. 100 discount of Rs. 15 ---------------- (ii) Rs. 25 ---------------- Rs. 360  (3) In the pie - diagram, the data of 720 students who opted for their favourite literature type is shown. The data is expressed in percentages. Using this diagram complete the following table. Type of Literature Angular measure Number of students. Comics 720 144 Mystery 900 ---------- Fiction _________ 216 Drama __________ __________ Science Fiction 720 144  Q. 3. B. Solve the following questions. (Any Two)  [ 4 Marks]

(1) Solve : 4m + 6n = 54; 3m + 2n = 28 (2) Compare the quadratic equation   to ax2 + bx + c = 0 and find the value of discriminant, and hence write the nature of the roots. (3) Mukta had Rs. 12 on 4th Jan 2018, she saved Rs. 15 after this day, every day she saved 2 more rupees than the earlier day. Then including the savings upto on 30th of Jan 2018, how much total amount did she have? Q. 4. Solve the following questions. (Any three) [9 Marks]

(1) Using the digits 0, 2, 3, 5 the two digit numbers are constructed without repetition of digits. Find the probability of the following events:

Condition for event A: The number formed is an even number.
Condition for event B: The number formed is a prime number.  (2) Solve the given simultaneous equations using graphical method. 3x + 2y = 6; 5x + y = 10.   (3) A businessman supplied CCTV camera sets for police control room, worth Rs. 1, 77, 000. The rate of GST is 18%. Then find the amount of SGST and CGST. Also find the taxable price of CCTV sets.  (4) For arithmetic progression, first term is - 8 and last term is 55. If sum of all these terms is 235, find the number of terms and common difference. Q. 5. Solve the following questions. (Any two) [ 4 Marks ]

(1) The difference between two numbers is 2 and the product is 1443. Find the numbers. (2) An electric company producing electric bulb, has packed 100 bulbs is each box. Some bulbs from 16 such boxes are tested for defective. The information of number of defective bulbs in 16 boxes is given below.

 No. of defective bulb No. of boxes 0 - 2 3 2 - 4 4 4 - 6 5 6 - 8 3 8 - 10 1

(i) How many boxes contain maximum number of defective bulbs?
(ii) Find the mean of the defective bulbs.
(ii) If the box is selected at random, then what is the probability that it will contain average 2 to 4 defective bulbs?

(3) Find the probability of getting highest number of defective bulbs?    Q. 6. Solve the following questions. (Any one) [3 Marks]

(1) The following determinants are obtained from the simultaneous equations in the variables x and y.

If Dx =      Dy =     D =
and the solutions for this equations are x = 5 and y = -1, then find the values of 'a' and 'b'. Also form the original simultaneous equations having this solution.  (2) An analysis of particular information is given in the following table.

 Age group Frequency 0 - 10 2 10 - 20 5 20 - 30 6 30 - 40 5 40 - 50 2

For this data, mode = median = 25. Calculate the mean. Observing the given frequency distribution and values of the central tendency, interpret your observation.

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Balbharati Solutions for Class 12

Biology 12th Standard HSC Maharashtra State Board

Book - Keeping and Accountancy 12th Stantard HSC Maharashtra State Board

Chemistry 12th Standard HSC Maharashtra State Board

Economics HSC 12th Standard Maharashtra State Board

English Yuvakbharati 12th Standard HSC Maharashtra State Board

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Hindi - Yuvakbharati 12th Standard Maharashtra State Board

History 12th Standard HSC Maharashtra State Board

Marathi - Yuvakbharati 12th Standard Maharashtra State Board

Mathematics and Statistics 1 (Arts and Science) 12th Standard Hsc Maharashtra State Board

Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board

Mathematics and Statistics 2 (Arts and Science) 12th Standard Hsc Maharashtra State Board

Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board

Organisation of Commerce and Management (OC) 12th Standard HSC Maharashtra State Board

Physics 12th Standard Maharashtra State Board

Political Science 12th Standard HSC Maharashtra State Board

Secretarial Practice 12th Standard HSC Maharashtra State Board

Sociology - Understanding Indian Society 12th Standard HSC Maharashtra State Board

2019 Board Paper Solution

HSC ENGLISH SET A 2019 21st February, 2019

HSC ENGLISH SET B 2019 21st February, 2019

HSC ENGLISH SET C 2019 21st February, 2019

HSC ENGLISH SET D 2019 21st February, 2019

SECRETARIAL PRACTICE (S.P) 2019 25th February, 2019

HSC XII PHYSICS 2019 25th February, 2019

CHEMISTRY XII HSC SOLUTION 27th, February, 2019

OCM PAPER SOLUTION 2019 27th, February, 2019

HSC MATHS PAPER SOLUTION COMMERCE, 2nd March, 2019

HSC MATHS PAPER SOLUTION SCIENCE 2nd, March, 2019

SSC ENGLISH STD 10 5TH MARCH, 2019.

HSC XII ACCOUNTS 2019 6th March, 2019

HSC XII BIOLOGY 2019 6TH March, 2019

HSC XII ECONOMICS 9Th March 2019

SSC Maths I March 2019 Solution 10th Standard11th, March, 2019

SSC MATHS II MARCH 2019 SOLUTION 10TH STD.13th March, 2019

SSC SCIENCE I MARCH 2019 SOLUTION 10TH STD. 15th March, 2019.

SSC SCIENCE II MARCH 2019 SOLUTION 10TH STD. 18th March, 2019.

SSC SOCIAL SCIENCE I MARCH 2019 SOLUTION20th March, 2019

SSC SOCIAL SCIENCE II MARCH 2019 SOLUTION, 22nd March, 2019

XII CBSE - BOARD - MARCH - 2019 ENGLISH - QP + SOLUTIONS, 2nd March, 2019

HSC Maharashtra Board Papers 2020

(Std 12th English Medium)

HSC ECONOMICS MARCH 2020

HSC OCM MARCH 2020

HSC ACCOUNTS MARCH 2020

HSC S.P. MARCH 2020

HSC ENGLISH MARCH 2020

HSC HINDI MARCH 2020

HSC MARATHI MARCH 2020

HSC MATHS MARCH 2020

SSC Maharashtra Board Papers 2020

(Std 10th English Medium)

English MARCH 2020

HindI MARCH 2020

Hindi (Composite) MARCH 2020

Marathi MARCH 2020

Mathematics (Paper 1) MARCH 2020

Mathematics (Paper 2) MARCH 2020

Sanskrit MARCH 2020

Sanskrit (Composite) MARCH 2020

Science (Paper 1) MARCH 2020

Science (Paper 2)

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