Date: October 2013

Find S_{2 }for the A.P. 3,5,7,9,......

Chapter: [0.03] Arithmetic Progression

If a = 1, b = 8 and c = 15, then find the value of `"b"^2 - 4"ac"`

Chapter: [0.02] Quadratic Equations

Find the width of class 35 - 45.

Chapter: [0.06] Statistics

By using two variables, write the following statement in mathematical form:

The cost of two tables and five chairs is 2,200.

Chapter: [0.05] Probability [0.05] Probability

If n(A) = 1 and n(S) = 13 then find P(A).

Chapter: [0.05] Probability

For solving the quadratic equations `"x"^2 + 8"x" =-15` by completing the square method, find the third term.

Chapter: [0.02] Quadratic Equations

Find the first four terms in A.P. When a = 10 and d = 3.

Chapter: [0.03] Arithmetic Progression

Prepare the cumulative frequency (less than types) table from the following distribution table :

Class |
0-10 | 10-20 | 20-30 | 30-40 | 40-50 |

Frequency |
2 | 3 | 7 | 8 | 5 |

Chapter: [0.06] Statistics

From the quadratic equation if the roots are 6 and 7.

Chapter: [0.02] Quadratic Equations

Find the value of the determinant `[(5,2),(7,4)]`

Chapter: [0.01] Linear equations in two variables

Find t_{n }for the A.P. 3,8,13,18,.....

Chapter: [0.03] Arithmetic Progression

Three coins are tossed simultaneously, find S and n(S).

Chapter: [0.05] Probability

Find the first three terms to the sequence, whose nth term is t_{n }= 4n - 3

Chapter: [0.03] Arithmetic Progression

Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`

Chapter: [0.02] Quadratic Equations

Two-digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that:

(a) The number formed is an even number.

(b) The number formed is a prime number.

Chapter: [0.05] Probability

Below is given the distribution of money (in) collected by students for flood relief fund:

Money(in) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |

Number of students | 5 | 7 | 5 | 2 | 6 |

Find the mean of money (in) collected by a student using 'Direct Method'

Chapter: [0.06] Statistics

The number of hours, spent by a school boy in different activities in a day is given below :

Activity | Sleep | School | Play | Homework | Others | Total |

Number of Hours | 7 | 7 | 2 | 4 | 4 | 24 |

Represent the above information using a pie diagram.

Chapter: [0.06] Statistics [0.06] Statistics

Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 instlments, each instalment being less than the preceding instalment by Rs. 10. What should be the first and the last instalments?

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

Two dice are thrown, find the probability of getting

(1) The sum of numbers on their upper faces is at least 10.

(2) The sum of the numbers on their upper faces is divisible by 5.

(3) The number on the upper face of the first die is greater than the number on the upper face of the second die.

Chapter: [0.05] Probability

When the son will be as old as his father today, the sum of their ages then will be 126 years. when the father was as old his son is today. The sum of their ages was 38 years. Find their presents ages.

Chapter: [0.02] Quadratic Equations

The following is the frequency distribution with unknown frequencies :

Class | 60-70 | 70-80 | 80-90 | 90-100 | Total |

frequency | `"a"/2` | `(3"a")/2` | 2a | a | 50 |

Find the value of a, hence find the frequencies. Draw a histogram and frequency polygon on the same coordinate system.

Chapter: [0.06] Statistics

From the same place at 7 a.m. A started walking in the north at a speed of 4 km/hr. after 1 hour, B started cycling in the east at a speed of 8 km/hr. at what time will they be at a distance of 20 km apart from each other?

Chapter: [0.05] Probability [0.05] Probability

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