Date: July 2015

All questions are compulsory.

Find the first two terms of the following sequence:

t_{n} = n +2 .

Chapter: [0.03] Arithmetic Progression

Write the quadratic equation 3y^{2 }= 10y +7 in the standard form ax^{2} + bx + c = 0 .

Chapter: [0.02] Quadratic Equations

find the value of the following determinant: `|[4,3],[2,7]|`

Chapter: [0.01] Linear equations in two variables

Write the sample space if two coins are tossed.

Chapter: [0.05] Probability

State whether the following sequence is an A.P. or not.

1,3,6,10,......

Chapter: [0.03] Arithmetic Progression

The perimeter of a rectangle is 36 cm. Write the equation for this statement using two variables.

Chapter: [0.01] Linear equations in two variables

If one root of the quadratic, x^{2} - 7x + k = 0 is 4. then find the value of k.

Chapter: [0.02] Quadratic Equations

Find the eighteenth term of the A.P.7.13,19,25,....

Chapter: [0.03] Arithmetic Progression

A die is thrown. Write the sample space. If P is the event of getting an odd number, then write the event P using set notation.

Chapter: [0.05] Probability

If D_{x }= 18, D_{y} = 15 and D = 3 are the values of the determinants for certain simultaneous equations in x and y, then find the values of x and y.

Chapter: [0.01] Linear equations in two variables

Form the quadratic equation if its roots are 5 and 7.

Chapter: [0.02] Quadratic Equations

If for certain frequency distribution, Median = 156 and Mode = 180, Find the value of the Mean.

Chapter: [0.06] Statistics

Solve the quadratic equation 2x^{2} + 5x + 2= 0 using formula method.

Chapter: [0.02] Quadratic Equations

There are 30 tickets numbered from 1 to 30 in the box and a ticket is drawn at random. If A is the event that the number on the ticket is a perfect square, then write the sample space S, n(S), the event A and n(A).

Chapter: [0.05] Probability

Obtain the sum of the first 56 terms of an A.P. whose 18^{th }and 39^{th }terms are 52 and 148 respectively.

Chapter: [0.03] Arithmetic Progression

Draw the graph of the equation 3x - y =-6 and write the points of intersection of the graph with the X-axis and Y-axis.

Chapter: [0.01] Linear equations in two variables

Electricity used by farmers during different parts of a day for irrigation is as follows:

Party of the day |
Morning | Afternoon | Evening | Night |

percentage of Electricity Used |
30 | 40 | 20 | 10 |

Draw a pie diagram to represent this information.

Chapter: [0.06] Statistics [0.06] Statistics

A card is drawn at random from a well-shuffled pack of 52 playing cards. Find the probability of the events that the card drawn is :

(a) a king (b) a face card.

Chapter: [0.05] Probability

Solve the quadratic equation : 3x^{4 }- 13x^{2 }+10 = 0.

Chapter: [0.02] Quadratic Equations

The maximum bowing speed (km/hour) or 33 players at a cricket coaching centre is given below:

Bowling Speed(km/hour) | 85-100 | 100-115 | 115-130 | 130-145 |

Numbers of players | 9 | 11 | 8 | 5 |

find the modal bowling speed of players.

Chapter: [0.06] Statistics

Students of a school were made to stand in rows for drill. If 3 students less were standing in each row, 10 more rows would be required and if 5 students more were standing in each row, then the number of rows would be reduced by 10. Find the number of students participating in the drill.

Chapter: [0.05] Probability [0.05] Probability

in winter, the temperatures at a hill station from Monday to Friday are in A.P. The sum of the temperatures of Monday, Tuesday and Wednesday is 0° C and the sum of the temperatures of Thursday and Friday is 15° C. Find the temperature of each of the five days.

Chapter: [0.05] Probability [0.05] Probability

Draw the Histogram and hence, the frequency polygon for the following frequency distribution:

House Rent (In ₹ per month) |
400-600 | 600-800 | 800-1000 | 1000-1200 |

Number of families |
200 | 240 | 300 | 50 |

Chapter: [0.06] Statistics [0.06] Statistics

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