Study for the exam National High School Exam (And either) is an important step for those who wish to apply for vacancies in university courses. However, this stage of studies is not always so easy.
At mathematics, difficulties in performing calculations quickly, since the test is extensive and time is short, and memorizing the various math formulas are some of the main complaints from students.
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With that in mind, we prepared this text with math tips and tricks for the enem for you who want to succeed in the exam!
We have selected some valuable tips for you who are going to take the Enem. Check it out below!
At Multiply by 10, 100 and 1000 or any other power of 10, there are some strategies that will speed up and simplify the calculations in the Enem test.
For whole numbers, just add zeros to the right of the number:
56 × 10 = 560
56 × 100 = 5600
56 × 1000 = 56000
For decimal numbers, just shift the decimal point to the right according to the number of zeros:
9,853 × 10 = 98,53
9,853 × 100 = 985,3
9,853 × 1000 = 9853, = 9853
At division by 10, 100 and 1000 or any other power of 10, there are also some strategies that will get you closer to doing well in the Enem.
When both numbers end in zero, we can cancel the zeros, making it easier to count:
350: 10 = 35: 1 = 35
600: 100 = 6: 1 = 6
29000: 1000 = 29: 1 = 29
For decimal numbers, just move the decimal point to the left according to the number of zeros:
256,7: 10 = 25,67
256,7: 100 = 2,567
256,7: 1000 = ,2567 = 0,2567
To be more prepared with division accounts, read our text: Tips and tricks for division calculations.
A bhaskara's formula is one of the most famous in mathematics, but it is also considered one of the most difficult to memorize and use by many high school students.
An alternative to Bhaskara's formula for finding the roots of a 2nd degree equation, and the sum and product method.
Sum (S) and product (P):
S = -b/a and P = c/a
Calculate S and P from the coefficients of the equation and the roots are two numbers whose sum is S and the product is P.
Example:
x² – 3x – 10
S = -(-3)/1 = 3 and P = -10/1 = -10
The roots are 5 and -2, because 5. -2 = -10 and 5 + (-2) = 3.
Below, we present some tricks to help you memorize very useful math formulas and remember them during the Enem test.
To remember the position of sine, cosine and tangent at the trigonometric circle, just memorize the following rhyme:
“Sine standing up, cosine lying down, and tangent on the side.”
To the trigonometric ratios at the right triangle involve the opposite and adjacent legs and the hypotenuse. In order not to get confused with the three formulas, memorize the following sentence:
“I ran and fell on coke.”
sine = co/hip → ran
Cosine = Here/hip → fall
Tangent = co/Here → Coke
Notable angles are the 30°, 45°, and 60° angles. They are called that, precisely because they are so used. So, you need to memorize the values of the sine and cosine functions of these angles.
As? There is a simple song:
"One two three.
Three two one.
Underneath is all two.
Root where there is none.”
Remembering this song, just assemble the table and there's no mistake! To find the tangent values, just divide the sine by the cosine.
Starting at arc addition and subtraction formulas, many geometry problems can be solved. However, in all, there are four formulas and they are very similar.
In order not to get confused, memorize the following sentence for the sine:
Sit down, scratch! Sit down, scratch!
Sin (a + b) = sin a. cos b + sin b. cos a
Sin(a – b) = sin a. cos b – sin b. cos a
Now for the cosine:
Itch, itch! Sit, sit!
Cosine (a + b) = cos a. cos b + sin a. without b
Cosine (a – b) = cos a. cos b – sin a. without b
Combinatorial analysis usually falls a lot in the Enem test. Therefore, it is essential to know the formulas of arrangement and combination, which allow calculating the number of possible clusters that can be formed with a total of elements in different situations.
To memorize these formulas, you can simply memorize two sentences. For arrangement, the sentence is:
"Ayet nto the Pbone. Noto the! Noto the Pbone!"
And for combination:
"Wfriend nto the Pode. Noto the! Pode! Noto the Pode!"
arithmetic progression (PA) is the type of sequence that falls the most in tests. The formula for the general term of an AP can be remembered from the following sentence:
“Ayet nto the Thearranged 1nbeloved ric!”
“sin nloved? Aarrange 1nbeloved negg and divide for nyou two!”
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