Date: March 2019

Observe the adjacent Venn diagram and write the complement of A.

Chapter: [1] Arithmetic Progression

Multiply : 2`sqrt(12) × sqrt(3)`

Chapter: [1] Arithmetic Progression

Find the geometric mean of 4 and 25.

Chapter: [1] Arithmetic Progression

Find x if x + y = 5, and x - y = 7

Chapter: [1] Arithmetic Progression

The estimated tax on the income of Shreemati Hinduja is Rs. 8000. How much education cess has she to pay at 3% ?

Chapter: [1] Arithmetic Progression

Find the class-mark of 80-90.

Chapter: [1] Arithmetic Progression

Factorise : m^{2} + 5m + 6.

Chapter: [2] Quadratic Equations

The sum of two natural numbers is 20 while their difference is 4. Find the numbers.

Chapter: [2] Quadratic Equations

In PQRS, ∠ R = 60°. Find the ratio ∠ R : ∠ Q

Chapter: [3] Linear equations in two variables

(1) For a simultaneous equation in x and y, if Dx = 25, Dy = 50 and

D = 5, What is the value of x ?

(A) -5

(B) `1/ 5`

(C) 10

(D) 5

Chapter: [3] Linear equations in two variables

Which of the following is a quadratic equation ?

(A) 6x^{2} = 20 - x^{3}

(B) `x^2(1/x-2) = 72`

(C)` 3/x - 3 = 4x^2`

(D) 5x + 7 = 3x

Chapter: [2] Quadratic Equations

If in an A. P., d = 10, find t_{6} - t_{2}.

(A) 10

(B) 20

(c) 30

(D) 40

Chapter: [2] Quadratic Equations

The rate of GST on stainless steel is 18%, of which the share of a state government is ...............

(A) 18%

(B) 9%

(C) 36%

Chapter: [6] Financial Planning

Two coins are tossed simultaneously. Find the probability of getting at least one head.

Chapter: [4] Probability [4] Probability

If the roots of 2x2 - 6x + k = 0 are real and equal, find k.

Chapter: [2] Quadratic Equations

Solve the following simultaneous equations.

101x + 99y = 501, 99x + 101y = 499

Chapter: [3] Linear equations in two variables

The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.

a = 5, d = 4, s12 = ?

`s_n = n/2 [ square ]`

`s_12 = 12/2 [10 +square]`

`= 6 × square `

` =square`

Chapter: [1] Arithmetic Progression

Complete the following activity to solve the simultaneous equations

3x + 2y = 6 and 2x + 4y = 12 by cramer's method.

`D = [[ 3,2] ,[2, 4 ]] = 8 Dx = [[6,2],[12,4]] = square , Dy = [[3,6],[2,12]] = square x= square y = square`

Chapter: [3] Linear equations in two variables

The six faces of a die are marked

The event M is getting a vowel on the upper face of the die when it is tossed. Complete the following activity and find the probability of the event.

`"S" = {square}`

`"n"("S") = square`

`"M" = {square}`

`"n"("M") =square`

`"P"("M") = square/square=square`

Chapter: [4] Probability

The following table shows the percentages of vehicles passing a signal. Find out the measures of central angle to show the information by a pie diagram and hence draw the pie diagram.

Type of Vehicle | Bicycle | Two wheeler | Car | Bus | Rickshaw |

Percentage | 10 | 30 | 20 | 20 | 20 |

Chapter: [5] Statistics [5] Statistics

Mr. Mahajan purchased 100 shares, each of face value Rs. 100, when the market price was Rs. 45 per share, paying 2% brokerage. If the rate of GST on the brokerage is 18%, find the total amount he spent.

Chapter: [6] Financial Planning

There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats, and so on. How many chairs are there in the 21st row ?

Chapter: [1] Arithmetic Progression

Solve : 7y = -3y^{2} - 4

Chapter: [2] Quadratic Equations

In a game of chance, the spinning arrow rests at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probabilities of the following events.

(A) The arrow rests at an odd number.

(B) It rests at a prime

number.

(C) It rests at a multiple

of 2.

Chapter: [4] Probability

Find out the sum of all natural numbers between 1 and 145 which are divisible by 4.

Chapter: [1] Arithmetic Progression

The following frequency distribution table shows the number of mango trees in a grove and their yield of mangoes, and also the cumulative frequencies. Find the median of the data.

Class (No. of mangoes) |
Frequency (No. of trees) |
Cumulative frequency (less than) |

50-100 | 33 | 33 |

100-150 | 30 | 63 |

150-200 | 90 | 153 |

200-250 | 80 | 233 |

250-300 | 17 | 250 |

Chapter: [5] Statistics

Six year before, the age of mother was equal to the square of her son's age. Three year hence, her age will be thrice the age of her son then. Find the present ages of the mother and son.

Chapter: [1] Arithmetic Progression

Draw a frequency polygon from the information given in the following table.

Age of blood donar (Years) | No. of blood donars |

Less than 20 | 0 |

Less than 25 | 30 |

75Less than 30 | 75 |

165Less than 35 | 127 |

Less than 40 | 165 |

Less than 45 | 185 |

Less than 50 | 197 |

Chapter: [5] Statistics

Draw the graph of x + y = 6 which intersects the X-axis and the Y-axis at A and B respectively. Find the length of seg AB. Also, find the area of Δ AOB where point O is the origin.

Chapter: [3] Linear equations in two variables

The market value of a mutual fund is 400 crore rupees. Which is divided into 8 crore units.

(a) Suppose you invest Rs. 10,000 in the units, how many units will you get ?

(b) While selling the units if their market value is increased by 10%, how much amount will you get by selling them ?

Chapter: [6] Financial Planning

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