Key Points in Mathematics
Quotes for Students
Too often we underestimate the power of a touch, a smile, a kind word, a listening ear, an honest compliment, or the smallest act of caring, all of which have the potential to turn a life around - Leo Buscaglia
The most important things we can give to others are actually not expensive. In fact, we don't have to buy them with money because they are right within us.
These include our kind words, listening ears, honest compliments, our 'thank you', those beautiful smiles, our loving corrections, sincere kindness and a caring heart
In the end, it isn't the years in your life that count. It is the life in your years - Abraham Lincoln
One fact remains constant to us all, and that's death. We are not guaranteed of tomorrow because no living human is too old to die, even a newly born. Remember, age is also a number.
Therefore, let us always do good, help the poor, care for the sick and less privileged, forgive transgressions and most importantly, extend the hands of love to everyone we come across.
By doing this, we would have added an abundance of life to our years, regardless its number. Recall that Jesus Christ Himself died at 33
You cannot win everytime. This therefore makes defeat a part of life. However, it is the way and manner at which we rise from our defeats that determines our place among the greats.
Muhammad Ali was a professional boxer with 56 wins and 5 defeats. However, the way and manner at which he rose from his defeats secured his place in boxing history as the greatest fighter of all time
One Day or Day One, you decide - Unknown
We all intend to become great in life. However, we should also understand that it doesn't take one day to become great. Rather it takes many days of work, practice, diligence, failures and successes to become great.
My question to you is this: Concerning your path to greatness, what day are you in?
Whatever you are, be a good one - Abraham Lincoln
If you are a boy, be a good boy. If you are a girl, be a good girl. If you are a man, be a good man. If you are a woman, be a good woman. If you are a student, be a good student. If you are a teacher, be a good teacher.
I can go on and on; but the point is: You are human, so do all in your power to be a good human
Let's use algebra to explain the simple statement below:
I am a number. When you subtract 3 from me, the result is 9. what number am I ?
Of course we know the answer is 12. You probably guessed it from your mind because it was that simple. The truth is, We could have a much more complicated statement of such; and that is where algebra comes into play.
Now, to apply algebra in the above statement, we use letters or alphabets to represent the unknown number(s). So using algebra, we can write:
Let the number be y
y - 3 = 9
y = 9 + 3
y = 12
The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ. Below are some points to note:
Hypotenuse is always the longest side of the triangle.
Opposite is the side opposite the angle (θ)
Adjacent is the shorter side next to the angle (θ)
Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:
soh
Sin θ = Opposite/Hypotenuse
cah
Cos θ = Adjacent/Hypotenuse
toa
Tan θ = Opposite/Adjacent
Circumference in mathematics means the distance around the edge of a circle (or a another curved surface).
Circumference is to circle or any other curved surface
Perimeter means the distance around a square or rectangle or polygon.
Perimeter is to square or rectangle or polygon
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Academic Questions in Mathematics
What type of polygon is shown in the above image?
A. Nonagon
B. Decagon
C. Octagon
D. Hexagon
E. Hepagon
F. Pentagon
Mathematics
Which of the following is not part of a circle?
A. Section
B. Sector
C. Segment
D. Semicircle
E. Secant
F. Center
Mathematics
What angle is shown in the above image?
A. Complementary
B. Supplementary
C. Acute
D. Obtuse
E. Reflex
F. Straight
Mathematics
An angle greater than 90o but less than 180o is termed _____.
A. Complementary
B. Supplementary
C. Acute
D. Obtuse
E. Reflex
F. Straight
Mathematics
Factorize 12a2 - 20a + 3
A. (6a - 1)(2a - 3)
B. (6a - 1)(2a + 3)
C. (6a + 1)(2a - 3)
D. (6a + 1)(2a + 3)
E. (-6a + 1)(2a - 3)
F. (-6a + 1)(2a + 3)
Mathematics
Simplify 10ab + 7ab
A. 17ab2
B. 17a2b2
C. 3ab2
D. 3a2b2
E. 17ab
F 3ab
Mathematics
Which of the following is not a type of angle?
A. Right angle
B. Left Angle
C. Acute Angle
D. Complete Angle
E. Straight Angle
F. Reflex angle
Mathematics
Len Academy