2018-2019 March

A = {1, 2, 3,4, 5}, B = {5, 6, 7} write AUB .

Chapter: [1] Arithmetic Progression

Simplify `sqrt(50)`

Chapter: [1] Arithmetic Progression

Write a trinomial of degree 7.

Chapter: [1] Arithmetic Progression

Convert 15 : 20 into percentage.

Chapter: [2] Quadratic Equations

If 3x + 5y = 9 and 5x + 3y = 7 find the value of x + y.

Chapter: [2] Quadratic Equations

Write the lower and the uppper class limit of 35 to 40

Chapter: [1] Arithmetic Progression

The yield of soyabean per acre in the farm of Mukund for 7 years was 10,7,5,3,9,6,9 quintal. Find the mean of yield per acre.

Chapter: [5] Statistics

Alka spends 90 % of the amount sent to her and saves Rs. 120 per

month. Find the amount sent to her per month.

Chapter: [3] Linear equations in two variables

If P(y) = y² - 2y + 5, find P(2) .

Chapter: [2] Quadratic Equations

If the roots of x² + kx + k = 0 are real and equal, what is the value of k?

(A) 0

(B) 4

(C) 0 or 4

(D) 2

Chapter: [2] Quadratic Equations

What is the sum of first 10 terms of the A. P. 15,10,5,........?

(A) -75

(B) -125

(C) 75

(D) 125

Chapter: [1] Arithmetic Progression

How many alpha numerals are there in the GSTIN of a registered dealer ?

(A)15

(B) 10

(C) 16

(D) 9

Chapter: [6] Financial Planning

What is the value of D if the equations x + y =3 ; 3x -2y =4 are solved by

Cramer’s method.

(A)5

(B) 1

(C) -5

(D) -1

Chapter: [3] Linear equations in two variables

A card is drawn at random from a well shuffled pack of 52 playing cards.

Find the probability that the card drawn is a spade.

Chapter: [4] Probability

The age groups and the number of persons in the age groups, who donated blood in blood donation camp is given below. Find the measures of central angles to show the information by a pie diagram.

Age group (Years) | 20-25 | 25-30 | 30-35 | 35-40 |

No of persons | 80 | 60 | 35 | 25 |

Chapter: [5] Statistics

The market price of share is Rs. 200 and the rate of brokerage is 0.3%.

Find the cost of one such share.

Chapter: [6] Financial Planning

Complete the following table to draw the graph of the equation x - y = 1

x | 0 | |

y | 0 | |

(x, y) |

Chapter: [3] Linear equations in two variables

Fill up the boxes and find out the number of terms in the A.P.

1,3,5,....,149 .

Here a = 1 , d =b`[ ], t_n = 149`

t_{n} = a + (n-1) d

∴ 149 =`[ ] ∴149 = 2n - [ ]`

∴ n =`[ ]`

Chapter: [1] Arithmetic Progression

In a class of 42 students in Model High School, 3 students use spectacles.

Fill in the following boxes to find the probability of a students selected

at random is wearing sepctacles.

The total number of students in the class is 42.

∴n(S) = ...... ,

Let the event, a student uses spectacles, be A.

∴ n(A) = ...........

∴ P(A) = ............ ∴ P(A) = ............

Chapter: [4] Probability

Solve : 5m² - 22m-15 = 0

Chapter: [1] Arithmetic Progression

3x - 4y = 10 , 4x + 3y = 5 find the values of Dx and Dy to solve

the simultaneous equations by Cramer’s method

Chapter: [3] Linear equations in two variables

The first term and the common difference of an A. P. is 10,000 and

2000 resectively. Find the sum of first 12 terms of the A.P.

Chapter: [1] Arithmetic Progression

If α and β are the roots of the quadratice equation x²- 2x - 7= 0, find the

value α² + β²

Chapter: [2] Quadratic Equations

How many three digit natural numbers are divisible by 5?

Chapter: [1] Arithmetic Progression

The following table shows the investment made by some families. Show

the information by a histogran.

Investment (Thousand Rupees) |
10-15 | 15-20 | 20-25 | 25-30 | 30-35 |

No. of families | 30 | 50 | 60 | 55 | 15 |

Chapter: [5] Statistics

A two digit number is to be formed from the digits 0,1,2,3,4,

without repetition of the digits. Find the probability that the number so

formed is a prime number

Chapter: [4] Probability

Yogesh requires 3 days more than Vivek to do a work completely. If both

of them work together, the work can be completed in 2 days. Find the

number of days required for each of them to do the work completely.

Chapter: [1] Arithmetic Progression

The following table shows the number of patients of different age groups admitted to a hospital for treatment on a day. Find the median of ages of the patients.

Age- group (Yrs.) | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |

No. of patients | 40 | 32 | 35 | 45 | 33 | 15 |

Chapter: [5] Statistics

Krishna Electricals had bought a TV from a wholesaler at Rs 36000.

The marked price on it in Krishna Electricals was Rs. 50000. If it was

sold to Kalyan Deshmukh at 10% discount, calculate the input GST

and output GST for Krishna Electricals if the rate of GST is 18%.

Chapter: [6] Financial Planning

Construct a word problem on simultaneous linear equations in two

variables so that the value of one of the variables will be 10 (persons, rupees, metres, years etc.) and solve it.

Chapter: [3] Linear equations in two variables

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