10th Grade Math Tutorial

Introduction of 10th grade math tutorial:-

In grade (10) means tenth grade is a year of education in all over the world. The tenth grade is the ten school year post kindergarten. Students are usually 15 - 16 years old. Tutorial is the new way for the students. Tutorial show the math concept and give you practice problems. Students work the problems in own place. The students first learning about the math definitions then use formula to workout the math problems. It is more helpful for test preparation and increases our own practice skills.

Topics in 10th Grade Math Tutorial:-

In the following basic topics involves the 10th grade math tutorial

Number theory
Mensuration
Theory of sets
Algebra
Applied Mathematics

Number Theory

In earlier classes, you might have come across various patterns of numbers like

1, 2, 3, 4, 5, ...

1, 3, 5, 7, 9, ...

1, 8, 27, 64, 125,...

These patterns are generally known as sequences. An arrangement of numbers of which

One number is designated as the first, another as second, another as third and so on is known as a sequence.

Mensuration

We do measurement in our daily life in many situations. For example, we measure the length of cloth for stitching, the area of a wall for painting, the perimeter of a plot for fencing,the volume of a water tank for filling.

Theory of sets

We have learnt about sets in the previous classes. All branches of Mathematics can be brought into the frame work of set theory.

Algebra

Algebra has been studied for many centuries. Babylonian, ancient Chinese and Egyptian mathematicians proposed and solved problems in words.

Applied Mathematics

Applied Mathematics represents a great stream gushing out irresistibly in many directions overcoming all resistances and all along retaining its originality. Is this topic Calculating Sample Standard Deviation hard for you? Watch out for my coming posts.

Example Problems for 10th Grade Math Tutorial:-

Problem 1:-

The nth term of a sequence is 7n – 3. Show that it is an A.P and find the first term and the common difference.

Solution:-

`t_n` = 7n-3

`t_1` = 7-3
= 4

`t_2` = 14-3
= 11

`t_3` = 21-3
= 18

`t_4` = 28-3
= 25

The sequence is 4, 11, 18, 25, ...

First term is 4, Common difference = 11 – 4 = 18 – 11 = 25 – 18 = 7

The given sequence is an A.P with C.D = 7

Problem 2:-

Find from the table cos 63° 29′

Solution:

Since cosine value decreases as the degree measure increases from 0° to 90°

63° 29′ = 63° 29′ + 5′
cos 63° 29′ = 0.4478

Difference of 5′ = 0.00013

cos 63° 29′ = 0.4478-0.0013
= 0.4465