### General Maths Algebra March 2016 Board Paper

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### General Maths Algebra March 2014 Board Paper

Most expected Algebra Paper for this Year.

Q1. Attempt any five sub – questions: 

i. Find the next three terms of sequence: 3, 9, 27, 81, ...

ii. Check whether x = 1  is the solution of the quadratic equation x2 – 4x + 3 = 0.

iii. Solve  2x + 3y = 5; x – 6y = - 20.

iv. Transform it using sign of variation: The wave length of sound (λ) and its frequency (μ)   are in inverse proportion.

v. Solve p2 + 8p + 4 = 0.

vi. Find the 10th term of the A.P. 80, 76, 72, 68, ..........

Q2. Attempt any four sub – questions: 

i. Determine whether the given sequence is an A.P. or not : 1, 2, 4, 8, .....

ii. Solve the following quadratic equation m2 – 6 m + 4 = 0 by completing square method.

iii. Solve 23x + 17 y = 103; 17x + 23 y = 97.

iv. The number of paper sheet is directly proportional to its weight. If the weight of 12 sheets of paper is 40 gm how many sheets of the same paper would 2500 gm weight?

v. Sum of two numbers is 20 and their difference is 4. Find the numbers.

Q3. Solve any three sub – questions:   

i. Solve the following simultaneous equation by the method of substitution: x + y = 0; x – y = 2

ii. The product of two consecutive natural number is 42. Find the numbers.

iii. Find the first three terms of  tn  = n3 – 3

iv. Find the sum of all natural numbers from 1 to 200 which are divisible by 4.

Q4. Attempt any two sub – questions:  

i. A man borrows Rs. 4000 and agrees to repay with a total interest of Rs. 680 in 12 monthly instalments, each instalment being less than the preceding one by Rs. 20. Find the amount of the first and the last instalment.

ii. Solve the quadratic equation by using formula method. 3x2 + 2x + 1 = 0

iii. Sum of two natural numbers is 70. One of the number is greater by 10 than twice the other. Find the numbers.

Q5. Attempt any two sub – questions. 

i. Number of taps and time required to fill up a tank are in inverse proportion. 6 taps are required to fill a tank in 1 hour 10 minutes. How long will it take if only 5 taps of the same type are used?

ii. The length of a piece of cloth varies directly as its cost. The cost of the cloth having length 24 m is Rs. 840. Find the length of a cloth having cost Rs. 525.

iii. Split 10 into two parts such that the sum of their squares is 52.