How Not To Solve Math Problems?

Solving math problems is a persistent head ache for kids and parents. Many deem it a chore due to the difficulties they face in the process. The fact is many do not know that they are solving math problems wrongly and do not know the ways to solve them correctly.

Do students solve Math problems wrongly?

Yes, they do! But how and where do they go wrong?

Rote memorization

From the childhood of kids, they have been advised to follow the rules instead of practical methods in solving problems. When kids try to apply rules instead of practically approaching a Math problem, it becomes a constant struggle for them to pick up Math skills. Instead they can come into the real world, get to know life situations while trying simple Math problems.


When it goes to an extent, kids know how to apply abstract thinking for solving Math problems and go ahead with that. For example, Geometry expects students to visualize problems and approach them with creative imagination. When students try real life examples for visualizing Geometry problems, they are able to do it at their best. Online math tutors help students in this matter with their examples, real life samples, drawings and models.

Deeming problem solving skills as an inherent talent

Problem solving skills in Math are not inherent and inborn. They come out of practice. When a child enters Pre Calculus or Algebra stage, he finds it difficult to cope with the subject and gets stuck in problems. Teachers and parents think it is somewhat inherent to solve problems and consider it as a talent in kids. Not so. It is good if a child gets stuck in a problem. For, it helps him know the way out of the problem, solving it successfully. So, problem solving is a matter of practice and not something inborn.

Parents’ role in helping kids solve math problems

Parents should be positive and encouraging while helping kids in Math problems. They should not panic and create anxiety in the minds of kids. They should understand that problem solving is a natural process in life and Math problems reflect that. They can reorient their skills while helping kids or contact tutoring centers that offer help. Suppose the child struggles with geometry homework, they can seek math homework help from expert tutors online and redeem their kids’ faults at once. It is parental care and encouragement that drive away Math fear from the hearts of students.

Parents can go in for resources like Math puzzles, quizzes and games and accustom their kids with such practices from day 1 of their Math learning. Kids find Math fun and interesting and will sit with Math problems even when they are stuck in it. It is because doing Math becomes their way of life by this time. Even when they get to do assignments in complex topics as they find in Geometry, they take it as a challenge and do it with ease. Suppose, kids struggle even then, parents can seek virtual resources like math assignment help and resolve the struggle.


So, doing math is not the issue but whether you do it rightly or wrongly is the matter. Approaches and practices decide the matter and those who understand this fact come out successful in math problem solving.

Tips And Strategies From Online Math Tutors To Conquer Math Troubles

To say that almost half the population is scared of tricky math problems would be a cliche. This is after all common knowledge for everyone is not a math junkie nor does everyone take an instant liking to it! However, it is very important that students conquer their fears and master the subject; scoring well in math is after all the key to maintain g a good GPA and would be very helpful during college admissions. Here are a few tips from popular online math tutors to help you solve tricky math problems with ease and reinstate your confidence in the subject.

Male Student Studying In Classroom With Books

Simple math tricks to boost your problem solving skills

Squaring a 2 digit number that ends with a five

In case you wish to square a two digit number ending with the number five, all you need to do is the following:

  • Multiply the 1st digit with itself and add a one to it and put this at the beginning
  • Add 25 at the end of this number and the result is ready.

For example, take 35. To square 35, all we need to do is multiply 3 to itself and add one to the result. This gives us 9+1 = 10. We just need to add 25 at the end and we get 1025 which is 352

Tip Calculation

This is something that everyone encounters on a day to day basis. A 15% tip is the standard and the next tip you or your friends or parents need to calculate a 15% tip, here’s how you can do it in a simple manner. 15 = 10 + 5. Just find out the 10% of the number (which is not but division by 10) and halve it. Now add the 10% and its halved number and your tip is ready.

For example, if you have to leave a 15% tip for 65$, here’s how you calculate it. 10% of 65$ is 6.5$. Half of 6.5$ is 3.25$. Thus, the total tip is 9.75$

There are many more such tips and tricks that students can use to ease the strain and time involved in working out complex arithmetic. Having these tips handy is sure to same them time in exams as well as homework and these work out to be the best math homework help a student can ask for!

Technology and math learning

Apart from such tips and tricks, students can also employ technology to learn math effectively. For instance, take geometry. It is quite different from the usual math and requires imagination. Most online tutors and teachers at school today recommend using technology to learn such difficult concepts better. These days there are umpteen numbers of mobile apps that are designed to help students explore the concepts that are tricky. Some of the popular math apps include Geometry Stash, Omni Graph Sketcher, Triangle Solver, Pocket Geometry and Geo Board. Similarly, there are many other popular apps for calculus, trigonometry, complex numbers, and algebra and so on. Students are increasingly turning towards these apps for math assignment help and math homework help.


Conquering math troubles is no longer impossible with such time tested tricks and strategies. With more and more students leaning towards technology to learn math, teachers too have begun to employ technological aids in classrooms to ease the learning process and make it fun. Students are sure to benefit from the above mentioned tips and apps and ace their math papers if they employ them judiciously.

How To Master Trigonometry Easily And Effectively?

Mathematics in itself is a vast and diverse study which includes sub areas like geometry a study about the figures there area, trigonometry a study about the relationship between the length and angles of a triangle, algebra a study of writing a particular respective process in the form of a simple terms using a number of letters or numbers to signify definite aspects, permutations as well as combination which is a lessons to analyze diverse combinations of doing a particular thing, probability study of chances of occurrence of an event normal mathematics of using numbers in order to denote things etc.

online trigonometry tutor


  • Math-problems-solved by online math tutor that, doubtlessly, claim to have the wide treatment, having included almost all mathematical topics, right from mid school level to superior levels, enabling almost all kinds of students, to find the solutions to their whole gamut of mathematical problems, with inclusion of topics like trigonometry, algebra, calculus, geometry and so on and also the math solutions have been elaborated in a very simple easy-to-understand terminology, step wise.
  • Furthermore, separate sections have been devoted to math probability worksheet drills, practice exam and multiple choice questions. Now, you do not need to worry any more with respect to math homework as online trigonometry tutors provide you a great deal of math homework solutions.

Online trigonometry tutors provides the best service

Math-problems-solved is the math study guide that in addition to offering you math answers also offers the solutions for major international exams like IB, A-level math’s, GCS math’s. Now, algebra remains no more cause of worry, as specialized section for algebra help, provides a great deal of solutions to the math questions including quadratic equations, ap calculus. Trigonometry assignment help section devoted to offer you the complete calculus solutions.

Now, you do not need to spend large amounts of money after buying the math test preps and math text books as you can find full detailed math solutions to even more than 30,000 math questions and also lots of test papers are loaded in the site to help you prepare for your ensuing math test. On top of all this, also you can find a number of videos to impart the mathematical training of the key concepts with the help of well-described practical illustrations to facilitate you to smoothly carry out the math test exercises.

Online trigonometry homework and its utility

  • No doubt, trigonometry homework help will prove to be the best math study guide, by providing the well-described solutions in a very easy-to-understand language, to the all your mathematical problems, including the topics like fractions decimals, math equation solver, quadratic equations, probability worksheets.
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Top 15 Tips To Gear Up For Exams On The D Day

Are your exams round the corner? Is tomorrow your D Day? Stressing out about it even after having prepared this well will do you no good! After all, you’ve spent your study holidays judiciously and planned your study meticulously. However, the battle is yet to be won and your performance on the day of exams is the only thing that will matter. Read on to learn some of the top tips recommended by online math tutors and subject experts in other areas to help you gear you for the exam day.
exam tips

The early bird catches the worm

All we mean to say is rise early don’t waste the day by sleeping and snoozing your alarm clock. Eat well, get ready, review your checklist and relax!

Learn the venue and exam time in advance

Check the venue details, exam time and other details pertaining to the exam beforehand and don’t look them up at the last minute. This will only add to your stress!

Eat well and sleep well

The day before exams sleep well and on the morning have a hearty and nourishing breakfast. Don’t skip breakfast and end up falling weak during your exams.

Prepare a last minute checklist and review it

Make a list of things you would need for your exams and review it before your leave home to ensure that there is nothing left behind and you have all the important things such as exam ID/ticket, stationary, etc. with you.

Start early and reach the center well before time

Ensure that you reach the venue early to make up for any changes or contingency. For this, you would require starting early from home.

Don’t hang around stressed out folks

If there are a few people in your gang or vicinity who are stressing out, it is better to stay away from them as they would most likely stress you out too! This is recommended even when you are studying; most tutors observe that students who freak out while seeking math homework help or help while studying in company, usually stress out before exams and they end up stressing out the entire party around them.

Use rest to rooms before exams

Visiting the wash rooms before exams is a good idea. It will help you feel relaxed and since exams are pretty long, it is better to be prepared in every respect.

Write your name and ID on the paper

Even though this might seem fundamental, there are instances when students forget to do this and checking   as to whether you’ve written your name more than once is a good practice.

Skim the question paper as soon as you receive it

Go through the question paper quickly and carefully. Plan as to how much time you should spend on each section/question and then proceed to answer.

Answer questions you know first

There will those questions that you are very confident about   and those that you aren’t that well acquainted with. Begin with the ones that you know well for this will give you confidence and make a good impression on the person evaluating your paper too!

Plough through even when your brain freezes

If there comes a moment when you feel clueless and frozen, simply write something and you are sure to start remembering the details.

Watch time spent on questions

If you had planned to spend 10 minutes on a question and you’ve spent 15 on it, don’t let it strangle you for time. Leave it for the time being and proceed with the next. If this question carries 5 marks and you end up spending the time required for 3 problems on it, you are probably losing 10 marks in your quest for scoring 5!

Speak up when in doubt

If you aren’t clear about some question, ask the examiner and don’t be afraid of speaking up.

Use your time wisely

Review your answers and don’t waste a single minute in your exam. This will help you score those extra marks and catch mistakes.

Be calm and confident

Staying confident and calm is the key to surmounting any hurdle and exams are no exception! Stay calm and focused. After all, you’ve studied well, planned thoroughly, revised and gotten the best math assignment help and help in every subject where you needed it and all of it isn’t going down the drain. If you can manage to calm yourself and stay cool, you can be on top of your fears and function at your best.


Even after meticulous preparation, students usually stress out during exams and forget many of the basic and most fundamental things. These tips are sure to help students allay their fears on exam day and stay focused on the task at hand.

Top 6 Strategies To Keep Your Brain Ticking All The Time

Our brain and how we use it differentiate us from other species and keeping it active and fresh everyday is imperative to put it to good use. As incongruous as it may sound, the brain too needs its series of exercises to keep fit and healthy. Here are a few tips and tricks to keep your brain up and running all day; read on.

mental muscles

A puzzle a day keeps your brain healthy

Puzzles are the best sort of mental activity for they help you think and it is fun to solve them. You can work on Sudokus, quizzes, math puzzles or even take up simple word problems and solve them. In fact, doing so as soon as you get up is the best thing to begin the day with and there are many apps available that help you work on puzzles every day.


Learn something daily

Take up a newspaper article or stumble upon something randomly; but learn something new daily. This will not only improve your awareness, it will keep your brain fit. Wikipedia: Random is an extremely good starting point for this; discover it for yourself and spend your leisure time learning something. In fact, many online tutors recommend such exercises to their students so as to keep them mentally active and unwind after a hectic day.


Math helps you keep your brain on its toes

Math has proverbially been associated with mental activity and the simplest of math problems could help keep you very active. Practice daily and look up latest apps or get simple puzzle books that you solve math problems. This is a widely recommended practice for everyone and even keeps mental diseases at bay!

Math helps

Stick with the pen

Don’t type when you can write as writing triggers your brain’s reticular activating system processes. This in turn helps it pay attention and thus you learn better.

Write Instead of Type

Associate stories to whatever you are reading

Learning by association is one of the best learning techniques and when you map stories in your mind, it helps you retain more information. In fact, even in patients with Alzheimer’s, this is found to be an effective technique to improve memory. This is why experts in online tutoring and teaching employ mnemonics and mind mapping techniques while teaching.

Act Like You're Teaching

Meditate, eat well and do some physical activity

When you meditate, you tend to relax completely and this puts your brain to rest for some time and when you work on something after this, you are more alert than ever.


Eating right and exercising help you stay fit physically as well as mental and these have been proven to be effective for mental health since ages. Employ this time tested theory and enjoy good mental health!

Exercise and Eat Well


Keeping your brain fit and active can contribute to improvement in studies and bring in better grades. Not only that, it also helps you lead a well-balanced and stress free life. When your mental acuity is at its highest, you will be good and efficient at whatever you do and thus your performance in school and at work will be at its best! Employ these strategies to keep your brain active and achieve the perfect work-life balance!

5 Majors For Math Lovers Who Do Not Want To Major In Math

Many students like Math but when they come to college level, they may not feel like choosing Math. It could be their quest to expand their Math knowledge through related subjects. There are majors which do not bear the name of Math but expect you to use your Math knowledge to a good extent since they are based on mathematical concepts to a great degree.


Following are 5 majors which are not Math but which can attract any enthusiastic Math learner

Architecture: Behind any structure, there is the hand of an architect. An architect needs Math proficiency in various aspects of architecture as in knowledge of materials, understanding of polices and codes and building structures.

Further, architects need Math knowledge to create blueprints and scale them accordingly into realistic structures, analyze structural problems and understand the various shapes of design elements. One can find the elements of Algebra, Calculus, Statistics, Trigonometry and Linear Programming in Architecture learning.

Computer Science: Computer Science showcases many career opportunities for students with its vast areas of learning. Students can be software professionals, web developers, data base administrators, inventors, researchers and theorists if they study Computer Science major.

Computer Science students use Math to write codes, design software, compute data or combine all the three. Computer Science students study Trigonometry, Calculus, Graph theory, Combinatorics, Ordinary Differential Equations, Theory of Analysis, Algebra and Numerical methods.

Biology: It is a common fact that most of the students who like Math also like Science. For such students, Biology is a good option. These students can enter the field of academic research, public health, environmental science and veterinary or human medicine.

Biologists use Math for analyzing study results with statistics and for correct dosing of medicine. Students find the aspects of Algebra, Calculus, Statistics, Geometry and Trigonometry in their Biology learning.

Engineering: Engineering has the use of Math and Science for solving problems. So, we find engineers in many fields like biomedical, electrical, environmental, computer and mechanical engineering. Engineers can work in private or government sectors and they can enter the field of research as well. They rely on fundamental Math and Science principles to do their job. Engineering majors need to take courses in Algebra, Differential Equations, Geometry, Calculus, Statistics and Trigonometry.

Economics: Those who are good at Math can be good at Finance. For such students, Economics major is a good choice. Students with Economics major can work in money related professions like auditor, actuary, accountant and budget analyst. They can also work in areas like research, education or natural resource management.

In the Economics field, you use Math to illustrate and predict business cycles, collect and analyze data and provide financial advice to organizations and business concerns. In Economics major, students concentrate on Algebra, Game theory, Calculus, Mathematical Economics, Trigonometry and Statistics.


Thus, one has scope for continuing his relationship with Math without pursuing a Math major. All the five majors above mentioned make an interesting study about how they are related to Math and how students need to look into Math details while pursuing these courses. For knowing more details about Math related aspects of learning at advanced level, one can contact online Math tutors who give the best of information in the field.

7 Tips for Finding the Right Online Math Tutor

How do you know your child needs math assignment help? Some of the more obvious signs are falling math grades on your child’s report card or on individual math assignments. A change in attitude toward math can also indicate difficulties. If your child loved math last year, but suddenly dislikes it, he or she could be experiencing difficulty mastering new math concepts.

Math difficulties can arise at any stage of the learning process.

Working with a math tutor, including an online math tutor, should be explored as soon as you realize your child is having difficulties. Throughout school, math lessons build on what was taught before, and failing to master a single concept can result in multiple math difficulties later on. Once you make the decision to work with an online math tutor, how can you be confident you have found the right one for your child? Here are 7 tips for finding the online math tutor that will benefit your child most.

1. Look for a Tutor Who Specializes in Math

Even if your child is in elementary school, it’s worthwhile to look for an online math tutor who specializes in math. While there are general tutors who can offer math assignment help, a tutor specializing in math is more likely to have the depth of knowledge necessary to understand the specific concepts that hold children back and how to address them.

2. Find a Tutor Whose Schedule Works With Your Child’s

The great thing about the internet is it never closes, and you can interact with someone on the other side of the world if you want. That said, it’s important to find a tutor who will be available during the hours your child works on math. If you’re considering an online math tutor from several time zones away, ensure his or her schedule meshes with your child’s before committing.

3. Choose a Tutor Willing to Work Interactively on Concepts

Math assignment help should be interactive. A good online tutor doesn’t simply lecture or present concepts, but interacts with students: “What do you think the first step should be?” Your child’s tutor should be able to develop a working rapport with your child, striving to understand his or her questions and difficulties so as to address them most effectively.

4. Look for a Tutor Willing to Explore How Not to Solve Problems

Sometimes a child needs to be shown how or why what might seem to be a solution doesn’t actually work. A great online math tutor understands how something might intuitively look right, yet not be. There may be occasions when a tutor needs to go through the wrong procedure with your child to show where and why problems occur.

5. Select an Online Tutor Who Uses Plenty of Visual Aids

Online math tutors should have easy access to helpful visual aids.

Diagrams, pictures, animations, and other visual aids can be tremendously helpful. For example, a child having difficulty with fractions may have an easier time if concepts are demonstrated through something he is familiar with, like LEGO. Try to choose a tutor who knows where to look online to find GIFs and other visual aids that help explain mathematical concepts.

6. Pick a Tutor Who Knows How to Assign Subject Matter in Context

Some children, for example, have no trouble applying concepts like basic arithmetic operations, but have trouble knowing which one to apply in word problems. Other children may not be motivated to perform an arithmetic operation without some sort of context (like a story problem) in which it makes sense. Your online math tutor should take time to learn how your child learns.

7. Try to Find a Tutor Who Is Open to Feedback

You don’t want an online math tutor who is resistant to feedback. After all, the goal is to help your child master important concepts. Knowing what works well and what doesn’t is important for an online math tutor in order to provide the best possible service. Discuss feedback before hiring an online math tutor to ensure the one you choose is open to suggestions and discussion.

In Conclusion

Hiring an online math tutor is an option many parents didn’t have when they were learning mathematics, and it can make a world of difference in your child’s ability to master mathematical concepts and keep up with what is expected of him or her. Know what to look for in an online math tutor, and you can be confident that when your child needs math assignment help, he or she will have access to someone who understands math, understands your child, and is willing to work with your child’s learning style. Are you interested in hiring an online math tutor for your child? Tutor Pace can help, and we encourage you to get in touch with us at your convenience.

Math For Advanced Level; Algebra Geometry And Calculus Advanced


Math is a combination of many branches such as Algebra, Geometry and Calculus, but math does not quite stop right there, we have levels to each branch of math such as beginners and advanced. The advanced level math usually needs more attention and practice to master it. If you are confident with the basics and know all your formulas then the advanced level math is the next step to beginner math topics. Today let us look at different advanced level math questions in areas such as Algebra, Geometry and Calculus.

Advanced level Algebra

Algebra consists of different algebraic expressions and equations. Algebra has different kind of questions to solve. Mentioned below are few such questions which will give you an idea about how to use the basics of algebra to solve advanced level questions:

Solving linear equations with one variable:

Find the value for x in equation 4 (2x – 3) = 5 (2x – 8)?

Here the unknown variable is x. Since there are numbers in front of the brackets, distribute the numbers as shown below:


Here we have x on both sides of the equation, bring all like terms to the same side of the equation and solve for x.


As show above the equation reduces to 2x = 28. Divide by 2 on both sides of the given equation. This gives x = 14.

Did you follow the solution to the question above? Now let us look at solving an inequality. Solving inequities play an important role in algebra. An inequality is where there is a comparison and is represented by a less than or greater than symbol. The solution to the inequality are usually represented on a number line, so as to represent all the possible values for the variable. Follow the given example below:

Solve the given inequality 3 (2 x + 8) > 24?

Look at the question we have greater than symbol here. You have to solve for the unknown variable x and find all the possible solutions for it. For the given question above, divide both sides of the equation by 3 as show below:


Now the inequality is reduced to the form 2x + 8 > 16. The next step is to solve for x. follow the steps below:


The inequality is now reduced to x > 4. Look at the symbol separating x and 4 it’s a greater than sign not greater than equal to. This implies that the number 4 is not included in the solution. Hence the solution of x contains all the values greater than 4 such as 5, 6, 7, 8…….. This can be represented on a number line as show below:


The advanced level algebra consists of many other subtopics such as quadratic equations, solving two variable equations using substitution and elimination methods and many more. The key to success for solving all such questions is practice and knowing the basics of Algebra.

Advanced level geometry:

After algebra let us look into geometry and some sample question. Geometry is one of the favorite topic for all the students especially when you are in the elementary school, it could be because of learning different kinds of shapes. But geometry does not quite stop there, as you go to the higher grades you need to tackle the advanced level. Let us look at two examples on how the basics of geometry can be helpful to solve the advanced level geometry question.

 Find the area between the two shapes for the given geometric figure:


The given diagram is a square inscribed in a rectangle. Let us recall the formula for the area of the rectangle = length x width. Using the formula, the area of the rectangle = 10 x 8 = 80 square inches.

Now the area of the square = side x side. Using the formula, the area of the inner square = 4inches x 4inches = 16 square inches.

The area between the two geometric figures is obtained by the difference in the areas.

Hence, the area = (80 – 16) square inches = 64 square inches.

Did you follow the solution? Great! The next question you will see how the sum of the angles can be used to find the missing angles of the triangle.

The sum of all interior angles of a triangle = 180 degrees. This fact is very commonly used in solving many geometrical questions. Knowing the angle measures helps you classify the different kinds of triangles such as equilateral, scalene, and isosceles.

In the given diagram, find the value of v and the angles of the triangle. Classify the triangle?


Sum of all the angles of a triangle = 180 degrees.

Adding all the angles of the triangle v + 2v + 60 = 180. This gives 3v + 60 = 180.

Solve for the variable v, follow the steps below:


The angles of the triangle are v = 40 degrees, 2v = 2 (40) = 80 degrees and the third angle is 60 degrees. Therefore, the angles of the triangle are 40, 60 and 80 degrees. Since all the angles of the triangle are different. The given triangle is a scalene triangle.

Advanced level Calculus

The next branch of mathematics which is very important and plays a major role in high school and college level math is calculus. The students are expected to know pre-calculus before stepping into calculus or advanced calculus. Calculus starts off form the basics of functions, domain, range and steps into differentiation and integration, which are the advanced level topics.

Let us take a quick look at few solved calculus questions:

Find the derivative to the function f (x) = 3x3 – 5x2 + 10?

Here before finding the derivative of the given question there are some formulas of derivatives which are expected to be known. Learn from the diagram below:


Did you recall the formulas? Now apply the power rule to 3x3 and -5x2. Since 10 is a constant the derivative will be zero. Take a look at the diagram below:


The answer f’(x) = 9x2-10x.

Taking a step forward, let us solve a derivative question involving logarithms and exponential functions.

Find the derivative of the function f(x) = x5 + 2ex + 3log x?

For the given question you can apply the power rule to x5, exponential rule for 2 ex and logarithmic rule for 3 log x. Use the formulas as mentioned in the diagram below:


Applying the formulas to the given function:


Hence the solution f’(x) = 5x4 + 2ex + 3/x.

Free Online Math tutor is the easiest way to get solutions for difficult Math problems. Tutor Pace provides effective Math tutoring and assignment help which are personalized and customized to meet student demands in one to one sessions.

5 Vedic Math Secrets for Every Student to be a Math Genius

Did you ever hear about Vedic Math and wonder what exactly is it? Vedic Math is derived from the ancient Indian scriptures called as the Vedas. The Vedic math is very ancient and it has many interesting tricks and facts which can help improve a student’s ability to solve the given question. We will look through some Vedic math secrets that you can apply in your math problem solving. This should make you not only solve the questions faster but also very efficiently.

Vedic Math Tutor

Here are some methods:

1. Squaring of a number ending in 5.

Find the value of 352?

The number ends in 5 the square of it should always ends with 25. In front of 25 place 3 x 4 = 12. That is the product of 3 and its consecutive number which is 4. Follow the diagram for a better idea:

math 1

Did you follow the trick? The more you practice, you will be able to solve these questions in one step. Now let us look at the longer version for the same question:

math 2We get the same answer!

Take a look at one more example to master the skill.

Find the value of 952?

Here since the number is ending is 5, the square will end in 25. In front of 25 place the product of 9 and 10. Follow the diagram to apply the method:

math 3

The answer is 9025.

This can be applied to three digit numbers as well. But the point to note is the number should end in digit 5.

Find the value of 2052?

The number ends in 5, so the square of the number will end in 25. For the next step follow the diagram below:

math 4The answer for the three digit multiplication for 205 x 205 = 42025. Check the answer in the longer method as well you will get the same value. 2. Square of numbers between 30 to 70? In this method we can find the square of the number between 30 and 70 within no time. Usually it takes us the regular multiplication method or the calculator to find the square of a number. Imagine, if you can solve it in the mind in a fraction of few seconds. Find the value of (51)2? Step 1: Find the difference between the given number and 50. You get 51 – 50 = 1. Step 2: Now add the difference to 25, this gives 25 + 1 = 26. (These are the first two digits.) Step 3: The last two digits of the square will be equal to the square of the difference.

Follow the diagram for the next step:

math 5

Find the value of (64)2?

Step 1: The difference between the given number and 50. You get 64 – 50 = 14. (As 64 > 50)

Step 2: Now add the number 14 to 25, this gives 25 + 14 = 39.

Step 3: Calculate the square of the difference 142 = 196.

For the last step follow the diagram.

math 6

Find the value of (44)2?

Step 1: The difference between 50 and 44. You get 50 – 44 = 6. (As 44 < 50)

Step 2: Now subtract the number 6 from 25, this gives 25 – 6 = 19. (First 2 digits of the square.)

Step 3: Calculate the square of the difference 62 = 36. (Last 2 digits of the square.)

For the last step follow the diagram.

math 7Hence the number is 442 = 1936. (Practice this method for more numbers.)

3. Subtracting any given number from 1000.

In this method for the given number that has to be subtracted from 1000, subtract the ones place by 10 and the remaining numbers by 9. For a better idea try to follow the examples shown below:

Find the value of 1000 – 356?

For this question subtracting 6 from 10 and 3, 5 from 9. Follow the diagram below:

math 8

Hence 1000 – 356 = 754.

Once you get a hold of this method you will be able to subtract quickly in your mind. This can also be applied to numbers when subtracted from 10 or multiples of 10, such as 100, 1000. 10000 and so on.

Let us take a look at another examples:

Find the value of 10000 – 8943?

Here subtract the digits in 8943 such that, ones place is subtracted from 10 and the remaining numbers from 9. Follow the diagram:

math 9

Hence the answer to 10000 – 8943 = 1057.

4. Finding the cube root of a given number.

In this method you will be able to find the cube root of any given number within a fraction of few seconds. You need the values of cubes from 1 to 9 for finding the cube roots. Here is the list:

math 10

The number 2744 has a cube root. Find the cube root 2744?

For this method you need a confirmation that 2744 has a cube root. Once you are sure of it, check the last number which is 4. Which cube in the list has the last number 4? 43 = 64. Now cross of the last three numbers and follow the diagram below:

math 11

The number 593919 is a cube of a number. Find the cube root of the number?

Here the given number is ending with 9, so the last digit of the cube roots should be 9. Since 93 = 729. For the next steps follow the diagram below:

math 12

As observed in the diagram above after crossing the last three numbers 59 is closest to 27 which is 33. Hence, the cubic root is 39.

5. Division of numbers made simple.

Find the value of 72 divided by 5?

Here the number 72 is divided by 5. Observe the number 5 can be written as 5 x 2 = 10.

The solution can be found easily within no time as follows:

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Find the value of 64 divided by 25?

Here the number 64 is divided by 25. Observe the number 25 can be written as 25 x 4 = 100.

Follow the diagram below to get the solution:

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Hence the value for 64/25 = 2.56.

This can be applied to bigger numbers as well such as:

Find the value of 567 divided by 20?

Here as well take a look at the divisor which can be written as 20 x 5 = 100.

The next step is to multiply the numerator and denominator of 567/20 by 5.

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Hence the solution for 567/20 = 28.35.

Did you observe math calculations which usually take many steps to solve can be calculated in the fractions of few seconds? Well there are many more math secrets which can make using the calculator optional. So keep learning and engage yourself in discovering many more tricks. All the Best!

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How to Study For a Math Test the Night before the Exam?

How to Study For a Math Test the Night before the Exam?Many student try to study for a math in the same way as they would study for geography exam. But in a real world they are not the same subject. You need a structural way to memorize formulas and equations and the best way to learn them by using and practice math. Here are few tips that will help you plan on how to study for a math test the night before and help you with getting a higher grade.

Remember your goal

First of all you need to decide why are you studying? Do you want just a passing grade, maybe a B or even to ace the exam? Answer this question and stick to your decision. Many students think they want to pass the exam with a C but the more they study, the more they realize that they would prefer an A. Getting an A is great, but still it requires much more effort than a B.

Do not try to learn anything new

If you attended classes as you should have, you probably know a few things already, you just don’t realize that yet. Have a quick look through all your notes and study materials and decide what things you already know. Once that is sorted, you can concentrate on knowing them better. Learning new things the night before the exam can be tricky, as sometimes the stress and panic can make your brain forget the things it already knows to make space for what you are learning. Even if you know just 60% of that class, as long as you know it very well, you are guaranteed to pass.

Stay away from distractions

Many students tend to waste time while studying. It can be either because of their friends, taking small breaks, not finding a pen or getting hungry. Make sure that before you start studying, all these distractions are out of your way. Eat well and healthy, make sure you have all your study materials and resources and take care of any other physical needs you may have. If you do this, you are less likely to lose focus during your study time. And if you like listening to study music, make sure that it is free of lyrics, as listening to 50cent is definitely not a wise choice.

Use note-cards to remember formulas and techniques

Note cards are a student’s best friend when it comes to exams. These are the most simplified form of your actual course notes. Try to keep them as clear and short as possible, without any examples or complicated sentences. Once you have these note cards done, use them wisely, as they will help you see what you know and don’t know.

Get some sleep

A lot of students think that studying the night before the exam, it actually means all night. They couldn’t be more wrong. The brain can only concentrate for so many hours, so if you study for an entire night, you will be tired during the exam. Drink lots of water and keep few snacks items with you before you study. This will stimulate your brain and will help you memorize and work on math problems.

On the day of the exam

Plan to show up at least 30 minutes earlier than the exam time. Keep calm and do not panic if someone tells you something you don’t know. Most likely, they did the same as you, learned very well what they already knew. Also, try to review once more your note cards. Start the exam with the questions you already know and leave the rest at the end. Always keep calm and stay positive and confident of your final preparation for math and focus on one goal that you can do it. Good Luck!