Supercharge your Maths class
How to Solve Complicated Math Problems: The Ultimate Guide for Students
Introduction: Why is it so hard to solve complicated math problems and what are the different types of math problems?
It's hard to solve complicated math problems because they often require a lot of background knowledge and mathematical skills. They are also very different in nature and can be classified into two general categories:
- Algebraic problems: These are the most common type of math problems. They involve solving equations with variables, but there is no guessing involved.
- Geometric problems: These problems involve shapes and figures that need to be drawn on paper or imagined in your head.
Steps to solve maths easily-
Step 1 - Understand the Types of Math Problems
The first step to solving any math problem is understanding the type of problem that you are dealing with.
There are four types of math problems: word problems, algebra problems, geometry problems, and trigonometry problems.
Word Problems: These are the most common type of math problems that students encounter in school. They involve a story or scenario that needs to be solved using mathematical concepts.
Math Algebra Problems: These involve variables and equations that need to be solved using algebraic techniques.
Geometry Problems: These involve shapes and angles and often require knowledge of geometry principles in order to solve them correctly.
Trigonometry Problems: These involve equations involving angles and distances between points on a graph in order to solve them correctly.
Step 2 - Start with a Basic Calculation and Work Your Way Up
In this section, we will be looking at a few examples of how to calculate interest rates.
The first example is the simplest one, where we are calculating the interest rate on a loan.
If you borrow $100 from your bank and you have to pay back $120 in 6 months, then your interest rate is 20%.
If you borrow $100 from your bank and have to pay back $150 in 12 months, then your interest rate is 25%.
If you borrow $500 from your bank and have to pay back $750 in 24 months, then your interest rate is 15%.
The second example is for calculating the return on investment. For example, if you buy a stock for $20 and sell it for $30 after 2 years, then what was the return on investment? The answer would be 50% (30/20).
Step 3 - Use Techniques to Make Calculations Easier
This section is about the different ways in which you can calculate the cost of an object. The first thing to do is to work out how much it costs per unit.
The first method of calculating the cost of an object is to work out how much it costs per unit. For example, if you buy a box of cereal that costs $10 and there are 10 cereal pieces in the box, then each piece would cost $1.
The second method is to work out how many units there are and then find out what that translates into as a dollar amount. For example, if you have a box with 10 cereal pieces and each one costs $1, then the total price for the box would be $10.
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Conclusion: So What's Next?
The Trouble with Mathematics
- 1) The first thing to realize is that mathematics is not a difficult subject. It's just logical. You need to understand the logic and not just blindly follow the steps.
- 2) All you need to do is plan your way through the problem, step by step. If you find the problem too hard, then break it up into manageable chunks, solving one chunk at a time.
- 3) When planning your way through a problem, consider drawing 2-dimensional drawings of what's going on in order for you to get an idea of what's going where and why it's happening that way. This will help with visualizing what needs to be done or be done next.
- 4) Reading back over your work is also essential when solving complicated maths problems (or any problem). If there are some gaps in your logic then it'll likely show up on re-reading which means you can figure out where and how those gaps were created