MARKS: 40 MARKS

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*Q1. Attempt any five of the following sub – questions: (5)*

*Q1. Attempt any five of the following sub – questions: (5)*

*i. Find the next four terms of the sequences: 2, 5, 8, 11*

*…*

*(click for answer)*

*ii. Write the quadratic equation 7*

*–*

*4x*

*–*

*x*

^{2}= 0 in standard form ax^{2}+ bx + c = 0. (click foranswer)

*iii. If 12x + 13y = 29 and 13x + 12 y = 21, find x + y. (click foranswer)*

*iv. Two coins are tossed simultaneously. Write the sample space*

*‘*

*S*

*’*

*and the number of sample points n(s). (click for answer)*

*v. If one root of the quadratic equation x*

^{2}*–*

*7x + k = 0 is 4, then find the valueof k. (click for answer)*

*vi. Find t*

_{n}of the A.P. : 3, 6 , 9, ....... (click for answer)

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*Q2. Attempt any four of the following sub – questions: (8)*

*Q2. Attempt any four of the following sub – questions: (8)*

*i.*

*Find the first four terms of the sequence, whose n*

^{th}term is t_{n}= n^{2}– 2n (Click for answer)*iii.*

*Find D*

_{x}and D_{y}of the given simultaneous equations. 3x – 2y = 3 and 2x + y = 16. (Click for answer)*iv.*

*Form two digit number using the digits 0, 1, 2, 3 without repeating the digits. Write sample space ‘S’, n(S), event P and n(P) where P is the event that the number so formed is divisible by 3. (Click for answer)*

*v.*

*A die is thrown, find the probability of the events*

*a.*

*Getting a number less than 3, b. Getting a prime number. (click for answer )*

*vi.*

*State whether the given equation is quadratic or not: y + 1/y = 3. (Click for answer)*

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*Q3. Attempt any three of the following sub – questions. (9)*

*Q3. Attempt any three of the following sub – questions. (9)*

*i.*

*How many three digit natural number are divisible by 4? (Click for answer)*

*ii.*

*Determine the nature of the roots of the equation 2y*

^{2}+ 5y – 3 = 0*from its discriminanats. (click for answer)*

*iii.*

*Solve the following simultaneous equations using graphical method. x + 2 y = 5; y = -2 x – 2. (Click for answer)*

*iv.*

*Forty persons were examined for their Haemoglobin % in blood (in mg per 100 ml) and the results were grouped as below: Find Mode. (Click for answer)*

Haemoglobin % (mg/100ml) | 13.1 – 14 | 14.1 – 15 | 15.1 – 16 | 16.1 – 17 | 17.1 – 18 |

No. Of persons | 8 | 12 | 10 | 6 | 4 |

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*Q4. Attempt any TWO of the folliwng sub – questions: (8)*

*Q4. Attempt any TWO of the folliwng sub – questions: (8)*

*1.*

*The 11*

^{th}term and 21^{st}term of an A.P. are 16 and 29 respectively then find (Click for answer)*a.*

*The first term and the common difference*

*b.*

*The 34*

^{th}term c. ‘n’ such that t_{n}= 55.*2.*

*Solve: x*

^{4 }– 3x^{2}+ 2 = 0. (Click for answer)*3.*

*Below is given frequency distribution of no. Of packages received at a post office per day. Find mean. (Click for answer)*

No. of Packages | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 |

No. of days | 2 | 8 | 16 | 24 | 30 | 20 |

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*Q5. Attempt any TWO of the following sub questions. (10)*

*Q5. Attempt any TWO of the following sub questions. (10)*

*i.*

*In winter the temperature at hill station from Monday to Friday is in A.P. The sum of the temperatures of Monday, Tuesday and Wednesday is zero and the sum of the temperature of Thursday and Friday is 15. Find the temperature of each of the five days. (Click for answer)*

*ii.*

*Two fair dice are thrown, find the probability of the following events*

*that the sum of the scores on their upper faces is (Click for answer)*

*(a) less than four*

*(b) Multiple of 5*

*(c) Perfect square*

*iii.*

*Solve: (x*

^{2}+ x) (x^{2}+ x – 2 ) = 24 (Click for answer)

*TRY THESE PAPERS TOO*