After you are done with the math as specified in this tipDouble check your units, double check your units. Several students make mistakes such as writing minutes instead of hours and ultimately end up with wrong answers. It is very important to prepare yourself against hasty mistakes when it comes to tables and graphs. By following these rules, you will be definitely on the safer side.

# Write the math out

Write the math out!… If you are required to find the relationships between two things, then look very carefully at the relationships between 4-6 pieces of information and write out the pattern such as two xs and two ys. In case you are looking for some variable then write out the equation. If you are still confused about it then try plugging answer choices and see how it goes.

# Find the areas of the table that the question asks about

Find the areas of the table that the question asks about! …  An exam will come up with questions that will try to confuse you by adding a lot of information into the graphic. Here you need to act smartly and check what the question requires from you. Then, encircle the area in the table or graph that answers these questions or gives you the required info. Moreover, there are questions that will just want you to locate the information. Though it might ask you to go another step.

# Add information from the question

Add information from the question! … The written problems come on an exam might have some information that the figure does not have. Therefore, all you need to do is write in angle measurements and fill in the extra information. Other than that, there is no need to try to remember it.

# Scan before reading the question

Scan before reading the question! … Though it might encourage you to jump right into the question, especially if you are short of time. But avoid doing that. The question on test will make no sense if you ignore the context that the given figure provides you. You may end up reading the question, even rereading the question or looking over the graphs in search of information you need. It’s a better idea to scan the figure first instead of doing all these things and wasting your time. You will want to go through the headings, the units of measurements etc. and then make note of any missing information. Once you are done with this exercise, move on.

# Evaluating Functions and Graphs

These are some of the important tips which students must keep in mind while evaluating functions and graphs, practicing it more will give an important grip resulting in a good increase in pace

1. For evaluating a function f(x) for a specific value of x, substitute that value everywhere you see an x.
2. For a number of function, you can even solve it by plugging the given values into the function.
3. When you approach a function, make sure you have learned the graph use in the function to find the value of f(x) or y for the given values of x. Vice versa, you must know how to use the graph functions to find the correct x or f(y) values for the given value of y.
4. If you are asked to identify the graph of an equation or to determine the equation of a graph, don’t panic and simply use these formulas.

For linear graphs:  y=mx+b

For parabolas:    y=x2

5. If you are required to solve SAT functions with special symbols, take some time and see how the equation is defined. Based on that, plug the values into the functions.

# Maths Shortcuts

In this post, we will discuss some useful maths shortcuts, Most of the students have quite a good sense of the squares of the first 15 integers are. You might get confused when it comes to 13’, 12’, 14’. Have a look on the following square of integers.

12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225

Here we have some more squares that the students must know:

162 = 256
202= 400
252 = 625
302 = 900

If you remember all these squares, its pretty good for your competitive Mathematics examination.

Well, if you are familiar with all these squares then you must be able to solve some complex equations.

For example

11 x 13, 14 x 16, 15×17 or 29×31.

At first look you might see it as a difficult equation but you can surely solve it in few seconds if you know the following smart shortcut.

Remember the basic algebra formula:

n2-1=(n-1)(n+1)

Suppose n=2

By knowing that 202=400, the product of one of the integer will be less than 20-the number 19 and the other one integer greater than 20-the number 21 will be 400-1 which is equal to 399.

Now try it with one of the numbers above.

For Example

122=144

Therefore,

11 x 13=143

For

29×31 =302-1 = 899

In this way, you will be operating difficult equations in a short while.

Many students find it very difficult to remember the quadratic formula. The formula is unfortunately not given in the SAT or other competitive maths exams hence there is no second choice except learning the formula.

A very popular song “Pop Goes the Weasel” has saved a number of students in their math’s tests. Also, there are so many versions of the song available on YouTube. Make sure that you are singing the quadratic formula song in your head on the test day.

# Multiplication Tips

The multiplication tips given in this post is very useful as these tips help students solving one of the common problems in doing mental multiplication is many students forget that multiplying larger numbers require breaking those larger numbers into more practical pieces. For example, if we see 17×6, you might think that 17 is a huge number and difficult to multiply.

To simplify the problem, you can break 17 into two manageable numbers that you can both multiply times 6. To get the right answer, add the result of two numbers. You might take 9 and 8, (9×6)+(9×8). But there is a more easier way i.e. to choose a number which ends in a zero as these numbers are easiest to multiply.

Let’s take the example of 17. It can be broken into

7+10=17

Now multiplying the 6 by 10 is quite instantaneous.

10×6=60

That leaves the 7 thus giving us 7×6=42

42 + 60 = 102

An important point to consider is that not to think of this as a writing exercise. Simply make these equations in your mind and breaking these numbers in this way will make things quite easier for you. While doing this, you multiply 10×6 and then keep 60 on hold, then you multiply 6×7 and finally add both 60 and 42.

Let’s solve another equation with slightly larger number

Suppose we have

32×8

One way you can follow is to multiply 10×8 three times. But a faster way is to multiply

30×8

We have selected 30 as it ends in zero and closest to 32. This gives us 30×8 which is same as 3×8 with a zero at the end.

3×8=24

Now add zero and it will give 240

Now we will put this number on hold and multiply the 2 left over as our original number was 32 time the 8. So,

2×8=16

The final step is to add this number to the on-hold number i.e. 240

240+16=256

Have a great test day with making the complex multiplications way too simpler for you.