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Introduction to mathematics:

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. Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, and medicine. (Source: From Wikipedia). Now, we are going to see some of the question and answer in mathematics. I like to share this What are Variables? with you all through my article.


Math questions and answers:

Example question 1:

Solve for the variable x: 2x + 3 = 5

Solution:

2x + 3 = 5

Subtract 3 on both sides of the equation

2x + 3 – 3 = 5 – 3

2x = 2

Now, divide by 2 on both sides of the equation

2x / 2 = 2 / 2

x = 1

So, the answer is x=1.

Example question 2:

Find the value of the expression: xy+2x+3yz when x=1, y=0 and z=2.

Solution:

xy + 2x + 3yz

Now, substitute the value of x, y and z in the expression

xy + 2x + 3yz = 1(0) + 2(1) + 3(0)(2)

= 0 + 2 + 0

= 2

So, the answer is 2.

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Additional questions and answers in maths:


Example question 3:

The perimeter of the floor of a rectangular hall is 26 m. Its length is 8 m. Find its area.

Solution:

To determine the area we should know the length and breadth of a rectangle. So, we should find the breadth from the perimeter.

2 length + 2 breadth = perimeter

2 × 8 + 2b = 26

16 + 2b = 26

i.e. 2b = 26 – 16

2b = 10

b =10 / 2 = 5

Now the area of the rectangle A = l b

= 8 m × 5 m

= 40 sq.m.

So, the answer is 40 square meter.

Example question 3:

In a right triangle the length of the base is20 cm and the height is 25 cm. Find its area.

Solution:

Let b = 20 cm and h = 25 cm

Now, we know the formula,

Area of the right triangle, A = (1 / 2)*b*h

= (1 / 2) × 20 cm × 25 cm

= 250  sq.cm

So, the answer is 250 square cm.

Example question 5:

The mean marks in mathematics for a class is 42. If there are 50 pupils in the class find the total marks scored by them in mathematics.

Solution:

Total marks / number of pupils = mean

Total marks = mean × number of pupils

= 42 × 50

= 2100.

So, the answer is 2100 marks.