Algebra Balbharati Model Question Paper Set 1 2018-2019 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

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

Multiply : 2`sqrt(12) × sqrt(3)`

Find the geometric mean of 4 and 25.

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

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

Find the class-mark of 80-90.

Factorise : m² + 5m + 6.

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

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

(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

Which of the following is a quadratic equation ?
     
    

(A) 6x² = 20 - x³

  (B) `x^2(1/x-2) = 72`

(C)` 3/x - 3 = 4x^2`   

     (D) 5x + 7 = 3x

If in an A. P., d = 10, find t₆ - t₂.

(A) 10

(B) 20

(c) 30

(D) 40

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

(A) 18%

(B) 9%

(C) 36%

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

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

Solve the following simultaneous equations.
101x + 99y = 501, 99x + 101y = 499

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`

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`

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`

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.

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.

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 ?

Solve : 7y = -3y² - 4 

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.

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

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.

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.

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

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.

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 ?