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 - x^{2} in the form of ax^{2}+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 3x^{2} + 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 kx^{2} - 7x + 12 = 0 is 3.

Chapter: [0.02] Quadratic Equations

For solving the following simultaneous equations by Cramer's rule, find the value of D_{x} and D_{y }: 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 [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 [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 [0.06] Statistics

Solve the following quadratic equation by completing square: z^{2} + 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 [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 [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 [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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