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5 Best Strategies For Solving Hard Math Problems

5 Best Strategies For Solving Hard Math Problems

How do you solve hard math problems? It is a question that often comes up for students. In this article on math, we shall help you with some quick and easy steps to solve a tricky math problem and get the correct answer. We will talk about the strategies to help solving these types of questions easier.

Why is a math problem so hard?

Why is a math problem so hard?

Math whatsoever is hard for many people because they are not familiar with it.

At the same time, Math is a logic-based subject, which means that you must know the rules before attempting difficult SAT math problems. Once you understand math concepts, the process of problem-solving becomes much easier, and you get each equation accurate!

What are the 7 hardest math problems?

Well, everyone’s definition of “hard” is different, so the ease of getting the final answer depends on the person. However, these are some of the most difficult math problems out there:

What is max value? What is the minimum value? How do you solve this problem if you don’t know how many numbers should be in x and y? Solve using trigonometry and logarithms, and geometry problems. The five majorly difficult problems are as follows:

If you don’t know how to solve the problem on the Riemann zeta function, then there is no other option left except asking for help from a homework solution.

What are some good ways to solve tricky math problem?

If you are struggling to solve difficult math problems, there are many good ways to find the final answer to mathematics.

One of the most usual and effective methods to solve math questions is “guess and check.” This method consists of guessing a number and then checking if it works for your problem. For example, if your problem says “x + y =?”

You could guess x as an answer because that makes sense in some cases. If this does work for your problem, you know that x + y = z! This is one of the most common ways to solve an equation, but it is not always accurate.

Be it a second grader’s math homework or a high school math problem, and you might need some outside help from your teachers or parents! Go for professional service to figure out your MyMathLab Test Answers.

You can even watch any Youtube video to find out how to solve problems on two equations, two decimals, a missing number, prime numbers, and parallelogram works.

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What are the 5 strategies to get the correct answer in math?

Most of the math questions of the entrance exam will have multiple right answers, so it can be difficult to detect which one is the correct answer. This means that you must choose among several options and get the final answer accurate!

Here are some strategies that works best for such standardized test

1. Break and understand the question

Suppose there is a question on how many small dogs, big dogs, and medium-sized dogs are in a park. Don’t get yourself confused between big dogs competing with small dogs and small dogs competing with medium sized dogs.

First, break down the above problem of the dog show into smaller steps to understand what you need to do. Hopefully, you don’t have to find about half a dog in the sum.

You might be able to get it by breaking up these groups: small (x), medium (y), large (z). Now that we have broken up our problem let’s see if we can solve it.

First, let’s look at the small dogs in the park:

x = number of small dogs in a group

x + y – z = 0 (subtracting to get rid of the medium-sized dogs)

y/z must be equal to x/y since they are both shared by both the equations

z = x/y (subtracting to get rid of large dogs)

Now that we have found our answer let’s write it in a function: small dogs(x), where the x is equal to the number of small dogs. This can be used with any problem!

Try writing your own in the comments below.

Small dogs(x) = x – z/y

Big dogs(z) = y . Medium-sized Dogs (y)= 0.

Let’s work on a harder equation: How many legs does each dog have? Now we need to find the number of small, medium, and large dogs first. Then we can see the number of legs on each dog.

Small dogs(x) = x – Medium Dogs (y)=0, large dogs(z) = y .

Medium-sized Dogs (y)= 0.

Large Dogs (z)= y/x . So now we can answer our question: small dogs have x legs, medium dogs have 0 legs, and large dogs have y/x legs.

It is one of the top strategies for solving problems on your own! If you are trying to solve a problem independently, try using different kinds of thinking like “guess and check” or this strategy to help figure it out.

2. Visualize your problem sum

Suppose you are trying to find the sum of all even numbers up to 20.

One way would be the guess and check method: what is x + y? We might get an answer like 12, so we know that our total must be around 13 (12+14).

Then we can try different sets of numbers until it adds up to 20.

It might be easier to visualize the problem instead of writing out all these equations! First, let’s draw a picture:

Each square represents one number in our set (from 0-19).

We can see that there are three squares with odd numbers and two squares with even numbers. But this is not enough information yet since the squares may be the opposite of what we want.

This problem is already much easier than it was before! We can see that there are two even numbers in our set (16 and 18), so this means that all other odd numbers must add up to 20 because each square has one number with an odd number inside it.

It makes sense since there are only two even numbers in our set!

The total is 20, which makes sense since we already saw that the number of odd and even squares were equal. This method works for any type of problem where you can visualize it with a picture or diagram! Try using this strategy for a perfect score if you need to solve an easier math problem independently. Reader’s Digest also serves as an effective tool to get things done your way.

What are the 5 strategies to get the correct answer in math?

3. Identify the essential information

Let’s talk about a problem with parking space coverages which is a seemingly simple problem.

This problem is a bit harder since there are so many numbers! We will need to assume which information we actually need to solve these types of hard questions. First, let’s write down the essential information:

Let us consider a sum on parking coverage for small cars(x), parking coverage for medium-sized cars (y), and parking coverage for large cars (z).

Now that we have identified our essential information of simple number sequence let’s see if there is any other relevant information in the problem.

There are two sizes of parking space covered spots: small and large. There are also two different types of cars: medium-sized or large. We can use this to start filling out our functions!

First, write out our function for small cars: parking coverage for small cars (x) = x. We can use this with every problem to know the number of spaces and how much it costs to park in each spot!

This method will definitely work well when you have identified your essential information, like finding out how many feet are required to be left.

But there might also be other pieces that are irrelevant or unneeded. Remember it as you try to work on problems!

4. The Schema Approach

The schema approach is one of the best strategies for math equations that you are unfamiliar with! Students need to create a schema about what they know and don’t know.

Let’s start by drawing out our schema:

We can see that there is only one piece of essential information, which is “how many small cars fit in x parking spots.” This means that the only thing we need to figure out is x. After looking at this, it seems like there are two ways of solving our problem:

Since figuring out how many small cars fit in one parking spot takes up so much space, let’s use another method to help us solve this question.

If you aren’t sure about your schema, you can try using another method to help solve the question too.

We already know that there are two types of cars (medium-sized and large) and two sizes of parking spots (large or small). This means that we need to determine if one medium-sized car fits into six random spots and simply do the multiplication by the total number of spots.

Each square represents one parking spot so that the calculation would look something like this:

Since there are six medium-sized cars in total, all of them fit into their own space! We can see that each car takes up two spots since they’re double the size of a small car. This means that our set is {(x, x), (y, y)}!

This method works best when trying to solve a complicated math equation with one piece of essential information.

You can use it by drawing out your schema or writing down the unknown pieces before starting the calculations.

5. Recheck your solution well

The final strategy for solving hard college algebra problems is to recheck your solution well.

There are multiple ways you can make mistakes when working on a problem, but checking over the answer numerous times before moving on to another question will help a great deal!

This strategy needs no explanation as it is very straightforward.

You should always recheck your answers if you are unsure of the steps that you took! This will help prevent careless mistakes and make sure that your answer makes sense to others too.

This method works best for checking answers since it does not require any extra work on your part, just a lot of patience. It also works well with any strategy that requires rechecking your work.

Also read: How To Study College Math Courses.

How to solve hard math problems

There are many ways to solve difficult math problems, and the best way will depend on your particular situation.

If you want a quick yet reliable answer to your complex math equation, it can be helpful to use some simple tricks like guessing or using a calculator.

But if you want to really learn how to do math well, we recommend taking time to practice with these five useful tips:

Start your work

Allow for the fact that many of your efforts will appear to be a waste of time.

However, one of your strikes may strike something, and even if it doesn’t, the effort may help prepare your mind for the winning concept when the time is right.

Break the problem into a simple form.

Remove any conditions you don’t need. Make it much simpler to use for those who are just getting started. Remove limitations and restrictions if they’re not necessary. Once you’ve dealt with the smaller problem, raise your sights and tighten them up a bit.

Consider how you’ve done in the past.

You’ve already fixed a number of issues. Some of them were really tough! How did you manage to do it?

Begin by focusing on problems that are comparable to yours, but also consider those that have nothing to do with your current issue. Consider the methods you employed to address those issues, and you might just find the answer.

How to solve hard math problems

Backtrack to the conclusion.

Instead of starting at what you know and working your way towards your goal, begin with what you want and determine what you’ll need to get there.

Ask for help

In case you are stuck on a particular problem, it is best to ask for help from your math teacher or peers.

Teachers have been solving problems longer than you have, so they will know how to solve the question! You can also get helpful advice from classmates who may offer a different perspective on the question.

Remember that asking for any relevant help does not make you weak! It is a great way to improve your knowledge of the subject and help you learn more.

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Begin early

It’s not much use for timed exams, but it’s crucial for longer-range tasks that are part of school and life.

Don’t put off dealing with difficult issues until the last minute; they’re already challenging enough without having to worry about time pressure.

Furthermore, comprehending complicated concepts might take a long time.

People you know who are considered intelligent and appear to come up with ideas far faster than you can frequently are people who have considered the issues for much longer than you have.

Take short breaks.

Get away from the tricky sum for some time.

When you return to it, you may discover that you haven’t entirely gotten away from the problem at all — the background processes of your brain have continued plugging away, and you’ll get a lot closer to the right solution. Of course, it’s a lot easier to take a break if you start early.

Be practical

Most people won’t be able to resolve them all. It’s time to call it a day at some point, no matter how much you progress. It is especially true while you’re in training and attempting to master new skills.

On the other hand, one difficult problem generally teaches you more in the first hour or two than it will later in the six-hour session, and there are many more problems to learn from. To establish a time limit and go over the answers if you’re still stuck at the end of it.

Introspect the problem

Even if you have come close to solving the problem, introspection is essential. Take a step back and ask yourself what got you stuck in the first place.

Be critical of your work; check whether you could do something else before getting through it. If you can see where things went wrong, try to avoid making those mistakes again in the future.

This works best when you have a hard time brainstorming ideas or examining your work critically because it’s not about directly working on the problem.

Retry the problem after sometime

If you gave up and went to the solutions, come back and try the problem again a few weeks later. If you don’t have any answers, keep the situation alive by writing it down or remembering it.

Check out How to get better at Math for some more helpful tips to crack the hardest math problem.


So now that you have read through some of the best strategies for solving hard math problems, what’s your favorite method? These are all great techniques to try if you get stuck on an issue or two.

Moreover, if you need to search— ‘Can I pay someone to do my online math class?‘ Click here.

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Note that there is no substitute for practice! The more time and effort put into practicing these skills, the more proficient you will be!

Check our recent article on Learn Here The Importance Of Math

Start working your way towards your goal, begin with what you want, and determine what you’ll need to get there. 

 Good luck!

Alice Walker