Which Topics Should You Study to Learn Mathematics?

Mathematics is a fundamental skill used in various aspects of our lives. Developing mathematical thinking abilities is crucial for both personal growth and professional success. However, learning mathematics can be challenging for some individuals. In this blog post, we will discuss which topics you should study to learn mathematics and provide sample math problems and their solutions for each topic.

Numbers and Operations: Numbers and operations serve as the foundation of mathematical learning. Understanding numbers and performing basic operations is essential for developing mathematical thinking processes.

Here’s an example problem:

The monthly membership fee at a gym is $200. John wants to join the gym for three months. In addition to the membership fee, he plans to allocate $25 each month for gym equipment. Calculate the total cost.

Solution: The membership fee is $200, and John wants to join the gym for three months.

Therefore, the total membership cost would be $200 * 3 = $600.

Additionally, he aim to spend $25 each month on gym equipment.

As he will be spending this amount for three months, the total expenditure would be $25 * 3 = $75.

To calculate the total cost, we add the membership fee and the amount spent on gym equipment: $600 + $75 = $675.

Hence, joining the gym for three months will cost John $675.


Algebra is a basic and main topic in mathematics. It is necessary for solving equations, analyzing problems, and understanding mathematical relationships.

Here’s an example problem:

Solve for x in the equation (x + 3) * 2 = 14.


Multiplying the parentheses on the left side of the equation, we get 2 * (x + 3) = 14.

This simplifies to 2x + 6 = 14.

To solve for x, we subtract 6 from both sides: 2x = 14 – 6.

This further simplifies to 2x = 8.

Finally, dividing both sides by 2, we find x = 8 / 2.

Therefore, the solution to the equation is x = 4.


Geometry is a branch of mathematics related to shapes and space, which may seem complicated to many people but is very enjoyable.

Here’s an example problem:

A quadrilateral has side lengths of 5 cm and 8 cm. Calculate its area.


To calculate the area of the quadrilateral, we use the given side lengths.

Since it is a rectangle, we multiply the side lengths to find the area: 5 cm * 8 cm = 40 cm².

Thus, the area of the quadrilateral is 40 cm².

The journey of learning mathematics begins by gradually mastering the foundational topics. Therefore, subjects like numbers and operations, algebra, and geometry will help develop your mathematical thinking skills. So, the provided sample problems in this article will assist you in better understanding each topic. Once you understand the math starting from the basics, you’ll see that it’s really not that hard.

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