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

If |7| × |-4| = a, then find the value of a. 

If x + y = 5 and  x - y = 1, then find the value of x.

Find the median of the scores 7, 10, 5, 8, 9. 

Write the degree of Polynomial 5x² + 2x + 3x⁴ + 4. 

If A = {1, 2, 3, 4, 5} and B = {1, 3, 7}, then A ∩ B = ? 

Find out the ratio of 1 mm to 1 cm. 

Find the factors of the Polynomial 3x² - 2x - 1. 

`square` ABCD is a parallelogram. The ratio of `angle`A and `angle`B of this parallelogram is 5 : 4. Find the measure of `angle`B.

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

Find the value of `|(5,3),(-7,-4)|`.

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–41

41

1

Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?

`x^2 + 4x = 11 + x^2`

`x^2 = 4x`

`5x^2 = 90`

`2x - x^2 = x^2 + 5`

Choose the correct alternative answer for the following question.

If n(A) = 2, P(A) = `1/5`, then n(S) = ?

10

`5/2`

`2/5`

`1/3`

For a given A.P. a = 3.5, d = 0, then t_n = _______.

0

3.5

103.5

104.5

Find k if x = 3 is a root of equation kx² – 10x + 3 = 0.

Market value of a share is Rs 200. If the brokerage rate is 0.3% then find the purchase value of the share.

The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by students for their studies: 

There are 9 tickets in a box, each bearing one of the numbers from 1 to 9. 
One ticket is drawn at random from the box.  
Event A: Ticket shows an even number. 
Complete the following activity from the given information: 

Activity:

S = {__________}

n(S) = ____________

A = {________}

n(A) = ___________

Complete the following activity to form a quadratic equation.  
Activity: 

Complete the following activity to find the number of natural numbers between 1 and 171, which are divisible by 5:  

Activity : 

Solve the following simultaneous equations :

4 x + 3y = 11;  3x + 4y = 10  

Find the 23rd term of the following A.P.: 9, 4,-1,-6,-11.

Find the mode from the following information: 

L = 10, h = 2, f₀ = 58, f₁ = 70, f₂ = 42. 

Solve the following simultaneous equations graphically:  

x + y = 2 ; x - y = 4. 

Sachin invested some amounts in National Saving Certificates in a specific way. In the first year, he invested  4,000 in the second year  6,000 in the third year  8,000 and so on for  12 years. Find the total amount he invested in 12 years. 

A readymade garment shopkeeper gives 5% discount on a dress of  2,000 and charges  5% GST on the remaining amount. What is the purchase price of the dress for the customer?

A bag contains 3 red, 3 white, 3 green, and 3 black balls. One ball is picked up from the bag at random. What is the probability that the ball drawn is:

a. white

b. not white. 

Out of 555 km, Vishal travelled certain distance by bus and
remaining distance by car. A bus travels with an average speed of 60 km/hr and the average speed of a car is 75 km/hr. He takes total 8 hours to complete the journey. Find the distance that Vishal travelled by bus.​ 

The time required for some students to complete a science experiment and the number of students is shown in the following grouped frequency distribution table. Draw the frequency polygon with the help of histogram using given information: 

Construct a word problem on quadratic equation, such that one of its answers is 20 (years, rupees, centimeter, etc.). Also, solve it.

A student made a cube-shaped die from a card sheet. Instead of writing numbers 1,2,3,4,5,6 on its face, he wrote letters a,b,c,d,e,f one on each face randomly. If he rolls the die twice, find the probability that he gets a vowel on the upper face both times​.