Math Questions and Answers

Introduction to math questions and answers:

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. There is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. The mathematician Benjamin Peirce called mathematics "the science that draws necessary conclusions". In this article we shall discuss about  math questions and answers.


Math questions and answers:


Some of the important math Questions and Answers are given below ,

Example 1:

Solve the equation 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Answer:

Given the equation

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Multiply factors.

-15x - 10 - x + 3 = -16x - 20 +13

Group like terms

-16x - 7 = -16x - 7

Add 16x + 7 to both sides

0 = 0

Example 2:

Find the average marks obtained by john in his 5 test.

92, 86,90,94,96

Solution:

Number of test = 5

Marks obtained by john = 92, 86, 90, 94, 96

Average marks obtained by john in 5 test = ` (92+86+90+94+96)/5`

Average =  91.6.

Example 3:

Solve 9x2 + 6x - 3 = 0 for x.

Solution:  Factor:  (9x - 3)(x + 1) = 0

9x - 3 = 0, x + 1 = 0

9x = 3 ,      x = -1

x = (1 / 3) ,   x = -1

x = -1,(1/3)


Example 4:


Surface area of a right circular cylinder of height 30 cm is 112 cm^2. find the radius of the base.

Solution:

Curved surface area = (2?r h) = 112 cm^2

2*(22/7)* r *30 = 112

r = (7*112)/(2*22*30)

= 784/1320.

= 0.5939 cm

Hence, radius of the base = 0.5939 cm.

Example 5:

Find the median of the following set of points:

17, 16, 12, 8, 12, 9, 18, 14

Solution:

Step 1:

First arrange the given numbers in ascending or descending order.

8, 9, 12, 12, 14, 16, 17, 18

Step 2:

Here 4th and 5th number of the given observation are 12, 14

So 12 and 14 are the middle observation

Step 3:

So median of the even observation = average of the middle two numbers

Median = `(12+14)/2`

= 26/2

= 13

So the median is 13.