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The first problem for all of us, men and women, is not to learn, but to unlearn - Gloria Steinem

The act of unlearning is an excellent form of learning. Infact, you will need the skills of unlearning if you intend to become an expert in your desired field.

Do yourself a favor by unlearning, learning and re-learning on a daily basis

If you don't design your own life plan, chances are you'll fall into someone else's plan. And guess what they have planned for you? Not much - Jim Rohn

There's something special about you. It doesn't matter whether you work for a company or someone; what matters is the amount of investment you've made on yourself.

Investing in yourself is the best life plan you can design for your future

Smile - Len Academy

Peace begins with a smile - Mother Teresa

Never underestimate the power of your smile. It can lift up the depressed, improve the mood of the downtrodden and even discourage a suicidal attack. Also remember that your smile makes you more beautiful

Smile always for your own good and the good of others

The only person who is educated is the one who has learned how to learn …and change - Carl Rogers

To perfect your learning process, you must learn, unlearn and re-learn. Infact, we all need to learn how to unlearn those vices we know about ourselves.

Do you know that seeing the devastating consequences of vices (perhaps in movies or real-life) can initiate the unlearning processes in one who does such?

Start where you are. Use what you have. Do what you can - Arthur Ashe

Start now. You've got all it takes to achieve greatness, so no environment can limit you. Just begin something, give in your best and don't stop.

Remember, don't stop giving your best if you truly desire greatness. Nothing can stop you except yourself


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)

ANSWER: (6a - 1)(2a - 3)

To factorize the above equation, we will need to split the middle value into 2 numbers whose:

  • Addition or Subtraction will be equal to -20a

  • Product will be equal to 36a² (that is, the product of 12a2 and 3 (at the right side).

-18a – 2a will work for us because:

  • Their subtraction = -20a

  • Their multiplication = 36a²

12a2 – 18a – 2a + 3

Notice that 12a2 and 18a are divisible by '6a' (That is, 6a is a factor) while 2 and 3 are not divisible. Therefore we can write:

6a(2a - 3) -1(2a - 3)

Now the brackets are the same, so our answer is:

Answer = (6a - 1)(2a - 3)

Please read on factorization here

Simplify 10ab + 7ab

  • A. 17ab2

  • B. 17a2b2

  • C. 3ab2

  • D. 3a2b2

  • E. 17ab

  • F 3ab

ANSWER: 17ab

From the question, since 10ab and 7ab possess the same coefficients, that is: (+10 and +7); we will simply add both coefficients in order to get our answer.

(10 + 7)ab = 17ab

You can read on the concept of algebra here

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

ANSWER: Left Angle

Left angle is not a type of angle

The image below shows the type of angles:

Types of Angles - Len Academy

  • Acute Angle: An angle that is less than 90o

  • Obtuse Angle: An angle that is greater than 90o but less than 180o

  • Right Angle: An angle that is exactly 90o

  • Straight Angle or Angle on a Straight Line: An angle that is exactly 180o

  • Reflex Angle: An angle that is greater than 180o but less than 360o

  • Complete Angle or Full Rotation Angle: An angle that is exactly 360o

  • Please read on Types of Angles here

Two lines that can never meet each other are best considered as _____ lines.

  • A. straight
  • B. vertical
  • C. horizontal
  • D. parallel
  • E. oblique
  • F. perpendicular

ANSWER: Parallel

Parallel lines are lines that can never meet each other no matter the length at which you extend them.

parallel lines - Len Academy

You can read on Type of Lines here

An angle at exactly 90o is a/an _____ angle.

  • A. acute
  • B. obtuse
  • C. reflex
  • D. right
  • E. complete
  • F. straight

ANSWER: Right

Right Angle - Len Academy

A Right angle is an angle at exactly 90o. It is formed at the point where a vertical line and horizontal line meet.

In the above diagram, it is formed at point E where the horizontal line AB meets the vertical line CD.

Please read on Angles here

Slanted or tilted lines that will finally meet at some point but NOT at a right angle are referred to as _____.

  • A. Oblique
  • B. Curved
  • C. Vertical
  • D. Perpendicular
  • E. Parallel
  • F. Horizontal

ANSWER: Oblique

Oblique lines will always meet at some point but NOT at a right angle.

Note: A right angle is an angle at 90o. It's formed where a vertical and horizontal line meet.

The diagram below shows some of the line types

Lines - Len Academy

Figure 1 illustrates an Oblique line

Figure 2 illustrates a perpendicular line. The perpendicular line comprises of a vertical and horizontal line that meets at a right angle (90o)

Figure 3 and 4 illustrates parallel lines respectively because they will never meet throughout their path

Please read on the Type of Lines here

The two sides that forms an angle are referred to as the _____.

  • A. Arms
  • B. Vertexes
  • C. Bays
  • D. Zones
  • E. Limbs
  • F. Dune

ANSWER: Arms

Arms of an angle - Len Academy

A and C are the arms of angle α (alpha) in the above diagram. This implies that they are the two sides that forms angle α

Please read on Angles here

The point where the two sides of an angle meet is termed the _____.

  • A. Arms
  • B. Vertex
  • C. Bays
  • D. Zones
  • E. Limbs
  • F. Dune

ANSWER: Vertex

Vertex of an angle - Len Academy

The two sides of an angle (arms) meets at a point called the vertex

How many digits are there in -223.00

  • A. 1
  • B. 2
  • C. 3
  • D. 4
  • E. 5
  • F. 6

ANSWER: 5

The digits in the question are 2, 2, 3, 0, 0

Digits in Mathematics consists of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Note: Decimal point and Minus are not digits.

Please read on Number Bases here

30% of 2 is equal to _____.

  • A. 30
  • B. 0.6
  • C. 75
  • D. 0.25
  • E. 0.3
  • F. 60

ANSWER: 0.6

30% of 2 simply means 30 divided by 100. The answer is then multiplied by 2.

30/100 = 0.3

0.3 x 2 = 0.6

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Mathematics topics

Angles: Type of angles based on degree measurement Angle Pairs: Types of angle pairs Conversion of Number Bases explained with examples Angles: What are Angles? Categories of Angles Lines and Types in Mathematics Number Base System - Table showing the Number Bases with explanations Mathematics Scheme of Work, SS1, 3rd Term Mathematics Scheme of Work, SS1, 2nd Term Mathematics Scheme of Work, SS1, 1st Term Trigonometry - Sine, Cosine and Tangent explained with worked examples


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