General Maths Algebra March 2016 Board Paper
Q.1. Attempt any five of the following sub - questions. [5]
(i) Find the next two term of the given sequence: 4, 7, 10, 13, ..........
(ii) The sum of two numbers is 28. Write this information in linear equation of two variables. (Use variables x and y)
(iii) Transform using sign of variation: ‘m varies directly as n’.
(iv) If printed price is Rs. 50 and selling price is Rs. 45, then find the amount of discount.
(v) If sale price is Rs. 200 and CST is Rs. 4, then find the actual selling price.
(vi) If printed price is Rs. 500 and discount is Rs. 50, then find the selling price.
Q. 2. Attempt any four of the following sub - questions. [8]
(i) If nth term of a sequence is tn = n + 2, then find the first two terms of the given sequence.
(ii) Decide whether m = 1 is a root of the quadratic equation: m2 - 4m + 3 = 0.
(iii) Solve the following simultaneous equations by the method of elimination.
x + y = 0; x - y = 2.
(iv) If x ∝ y and x = 20 when y = 5, then find constant of variation and the equation of variation.
(v) Determine whether the given sequence is an A.P.: 3, 6, 9, 12, ........
(vi) Calculate the education cess at the rate of 3% on the income tax Rs. 600 for F.Y. 2012 - 13.
Q. 3. Attempt any three of the following sub - questions:
(i) Find the 15th term of an A.P. : 10, 14, 18, 22, ........
(ii) Solve the given quadratic equation by factorization method: x2 + 9x + 18 = 0.
(iii) Complete the following table if a ∝ 1/b.
a
|
20
|
10
|
.............
|
............
|
b
|
3
|
.........
|
2
|
...........
|
(iii) Babusheth purchased some pipes for Rs. 8,600 and sold them to Vinod for Rs. 9,300. Compute M-VAT by subtraction method, if the VAT rate is 5%.
(iv) The wavelength of a sound and its frequency are inversely proportional to each other. If the frequency is 280 Herts, then wavelength is 60 cm. Find the frequency when the wavelength is 100 cm.
Q. 4. Attempt any two of the following sub - questions: [8]
(i) Which term of the A.P. 10, 16, 22, 28, ............ is 106?
(ii) A mobile is available for Rs. 1,600 each on cash or for Rs. 1,000 cash down payment and Rs. 645 to be paid after six months. Find the rate of interest charged under the instalment plan.
(iii) Observe the table and state whether the income tax is to be paid or not with reason for the following persons having taxable income of F.Y. 2012 - 13 as given below:
Person
|
Age
(in year)
|
Taxable Income
|
The tax is to be paid or not
|
Reason
|
Smt. Shalini
|
25
|
Rs. 1, 30, 000
| ||
Shri Dhiraj
|
32
|
Rs, 2, 85, 000
| ||
Shri Shashibhai
|
80
|
Rs. 2, 70, 000
| ||
Smt. Minakshi
|
61
|
Rs. 2, 40, 000
|
Q. 5. Attempt any two of the following sub - questions: [5]
(i) Solve the given quadratic equation by using formula method: x2 + 4x + 1 = 0.
(ii) Suresh purchased the following articles from Swaraj Khadi Bhandar. The rebate on each article is 20%.Find the total amount to be paid at the time of purchase.
2 towels for Rs. 90 each 3 shirts for Rs. 220 each. 4 trousers for RS. 290 each.
(iii) Solve the following simultaneous equations:
23a + 17b = 103
17a + 23b = 97.