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Algebra B 2016-2017 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

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Algebra [B]
Marks: 40Academic Year: 2016-2017
Date: July 2017

[5]1 | Attempt any five subquestions form the following :
[1]1.i

Write the two terms of the A.P. 2,5,8,11,...

Concept: Arithmetic Progression
Chapter: [0.03] Arithmetic Progression
[1]1.ii

Write the quadratic equation 7 = 4x - x2 in the form of ax2+bx + c = 0.

Concept: Quadratic Equations Examples and Solutions
Chapter: [0.02] Quadratic Equations
[1]1.iii

Find the value of the determinant: `|(-3,8),(6,0)|`

Concept: Determinant of Order Two
Chapter: [0.01] Linear equations in two variables
[1]1.iv

A coin is tossed. For this random experiment write the sample space and find n(S).

Concept: Random Experiments
Chapter: [0.05] Probability
[1]1.v

Find the class mark of class 10 - 20.

Concept: Tabulation of Data
Chapter: [0.06] Statistics
[1]1.vi

For the quadratic equation 3x2 + 2x - 1 = 0 , find the value of the discriminant. 

Concept: Quadratic Equations Examples and Solutions
Chapter: [0.02] Quadratic Equations
[8]2 | Attempt any four subquestions from the following :
[2]2.i

Write the 25th term of an A.P. 12,16,20,24, ....... 

Concept: Arithmetic Progression
Chapter: [0.03] Arithmetic Progression
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[2]2.ii

Find k, one of the roots of the quadratic equation kx2 - 7x + 12 = 0 is 3.

Concept: Quadratic Equations Examples and Solutions
Chapter: [0.02] Quadratic Equations
[2]2.iii

For solving the following simultaneous equations by Cramer's rule, find the value of Dx and Dy : 3x - y = 7;
x + 4y = 11 

Concept: Cramer'S Rule
Chapter: [0.01] Linear equations in two variables
[2]2.iv

If two coins are tossed, then find the probability of the event: No heads turns up.

Concept: Basic Ideas of Probability
Chapter: [0.05] Probability [0.05] Probability
[2]2.v

For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.

Concept: Median of Grouped Data
Chapter: [0.06] Statistics
[2]2.vi

The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :

Find the central angle for labour expenditure.

Concept: Concept of Pie Graph (Or a Circle-graph)
Chapter: [0.06] Statistics [0.06] Statistics

The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :

Find the expenditure on labour.

Concept: Concept of Pie Graph (Or a Circle-graph)
Chapter: [0.06] Statistics [0.06] Statistics
[9]3 | Attempt any three subquestions from the following:
[3]3.i

Solve the following quadratic equation by completing square: z2 + 4z - 7 = 0.

Concept: Solutions of Quadratic Equations by Completing the Square
Chapter: [0.02] Quadratic Equations
[3]3.ii

Two dice are thrown. Find the probability of the following events:

Event A : The product of the numbers on their upper faces is 10.

Event B : The sum of the numbers on their upper faces is 10 

Concept: Basic Ideas of Probability
Chapter: [0.05] Probability [0.05] Probability
[3]3.iii

The following is the distribution of the size of certain farms from a taluka (tehasil):

Size of Farms
(in acres)
Number of Farms
5 – 15 7
15 – 25 12
25 – 35 17
35 – 45 25
45 – 55 31
55 – 65 5
65 – 75 3

Find median size of farms.

Concept: Median of Grouped Data
Chapter: [0.06] Statistics
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[3]3.iv

Area under different crops in a certain village is given below. Represent it by  pie diagram:

Crop Area (in hectare)
Jowar 8000
Wheat 6000
Sugarcane 2000
Vegetable 2000
Concept: Concept of Pie Graph (Or a Circle-graph)
Chapter: [0.06] Statistics [0.06] Statistics
[3]3.v

Draw the frequency polygon for the following frequency distribution :

Class Frequency
10 - 20 02
20 - 30 08
30 - 40 10
40 - 50 05
50 - 60 04
Concept: Graphical Method of Solution of a Pair of Linear Equations
Chapter: [0.01] Linear equations in two variables
[8]4 | Attempt any two subquestions from the following:
[4]4.i

In a certain race, there are three boys X,Y, Z. The winning probability of X is twice than Y and the winning probability of Y is twice than Z. If P(X) + P(Y) + P(Z) = 1, then find the winning probability of each girl.

Concept: Basic Ideas of Probability
Chapter: [0.05] Probability [0.05] Probability
[4]4.ii

If the second term and the fourth term of an A.P. are 12 and 20 respectively, then find the sum of first 25 terms:

Concept: Sum of First n Terms of an AP
Chapter: [0.03] Arithmetic Progression
[4]4.iii

Solve the following simultaneous equations.

`27/(x -2) + 31/(y + 3) = 85, 31/(x -2) + 27/(y + 3) = 89`.

Concept: Linear Equations in Two Variables
Chapter: [0.01] Linear equations in two variables
[10]5 | Attempt any two subquestions form the following:
[5]5.i

The product of four consecutive positive integers is 840. Find the numbers.

Concept: Arithmetic Progression
Chapter: [0.03] Arithmetic Progression
[5]5.ii

A three digit number is equal to 17 times the sum of its digits. If 198 is added to the number, the digits are interchanged. The addition of first and third digit is 1 less than middle digit. Find the number.

Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method
Chapter: [0.01] Linear equations in two variables
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[5]5.iii

Find the sum of all numbers from 50 to 350 which are divisible by 4. Also, find the 15th term.

Concept: Arithmetic Progression Examples and Solutions
Chapter: [0.03] Arithmetic Progression
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