Date: July 2017
Write the two terms of the A.P. 2,5,8,11,...
Chapter: [0.03] Arithmetic Progression
Write the quadratic equation 7 = 4x - x2 in the form of ax2+bx + c = 0.
Chapter: [0.02] Quadratic Equations
Find the value of the determinant: `|(-3,8),(6,0)|`
Chapter: [0.01] Linear equations in two variables
A coin is tossed. For this random experiment write the sample space and find n(S).
Chapter: [0.05] Probability
Find the class mark of class 10 - 20.
Chapter: [0.06] Statistics
For the quadratic equation 3x2 + 2x - 1 = 0 , find the value of the discriminant.
Chapter: [0.02] Quadratic Equations
Write the 25th term of an A.P. 12,16,20,24, .......
Chapter: [0.03] Arithmetic Progression
Find k, one of the roots of the quadratic equation kx2 - 7x + 12 = 0 is 3.
Chapter: [0.02] Quadratic Equations
For solving the following simultaneous equations by Cramer's rule, find the value of Dx and Dy : 3x - y = 7;
x + 4y = 11
Chapter: [0.01] Linear equations in two variables
If two coins are tossed, then find the probability of the event: No heads turns up.
Chapter: [0.05] Probability
For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.
Chapter: [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 central angle for labour expenditure.
Chapter: [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.
Chapter: [0.06] Statistics
Solve the following quadratic equation by completing square: z2 + 4z - 7 = 0.
Chapter: [0.02] Quadratic Equations
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
Chapter: [0.05] Probability
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.
Chapter: [0.06] Statistics
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 |
Chapter: [0.06] Statistics
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 |
Chapter: [0.01] Linear equations in two variables
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.
Chapter: [0.05] Probability
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:
Chapter: [0.03] Arithmetic Progression
Solve the following simultaneous equations.
`27/(x -2) + 31/(y + 3) = 85, 31/(x -2) + 27/(y + 3) = 89`.
Chapter: [0.01] Linear equations in two variables
The product of four consecutive positive integers is 840. Find the numbers.
Chapter: [0.03] Arithmetic Progression
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.
Chapter: [0.01] Linear equations in two variables
Find the sum of all numbers from 50 to 350 which are divisible by 4. Also, find the 15th term.
Chapter: [0.03] Arithmetic Progression
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Maharashtra State Board previous year question papers 10th Standard Board Exam Algebra with solutions 2016 - 2017
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