Topics in Mathematics

Conversion of Number Bases explained with examples Angles: Types and 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 Quadratic Equation - Factorization of Quadratic Equation Algebra - Explanation and Worked Examples on AlgebraAcademic Questions in Mathematics

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**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

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

- A. arms
- B. vertexes
- C. bays
- D. zones
- E. limbs
- F. dune

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

How many digits are there in **-223.00**

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

**30%** of **2** is equal to _____.

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

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Consider this simple statement:

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

**Please read on the Number Base System here**.

if we had a question of several unknowns, the question can become complicated, so using letters actually make things easier for us.

To simplify a mathematical expressions, we need to represent them in the least complicated form as much as we can, making them more easier to work with.

One skill you need to know is the combination of "**Like Terms**".

**Like Terms** refer to those variables that are exactly the same, although they may still have different coefficients.

__Consider the instance below__

**5a**are considered to be like terms because the have the same variable a^{2 }and 12a^{2 }^{2}.**3ab and 3bc**are not like terms because the have different variables (ab & bc) respectively.

So, to combine the like terms will mean to "**add**" or "**subtract**" them, so that we can have a single term.

**Please read on Factorization of Quadratic Equation here**.

**Example 1:**

- Simplify
**10ab + 7ab** - Since "
**10ab" and "7ab**" are like terms; (They both have the same variable**ab**), we will add their coefficients together in order to get our answer - (10 + 7)ab = 17ab
- Answer is
**17ab**

**Example 2:**

- Solve
**y**^{2 }+ 5 + 7y^{2}- 5y + 10 - First, let's combine the like terms
A variable without a coefficient in front of it is always assigned the value of__Note:__**1**. Also, when moving coefficients, we always take into account the "**+**" and "**-**" values in front of them.- (1 + 7)y
^{2 }- 5y + (5 + 10) - Answer is
**8y**^{2 }- 5y + 15

**Example 3:**

- Solve
**4b + 4 = 20** **Step 1**: Let's move over like termsWhen a like term is moved over the "__Note__:**=**", the "**+**" value before it turns to "**-**". If the like term has "**-**" value in front of it, then it turns to a "**+**".- 4b = 20 - 4
- 4b = 16
**Stet 2**: To get b, Let divide both side by**b's**coefficient (**4**)- 4b/4 = 16/4
- Answer is
**b = 4**

**Example 4:**

- Solve
**4a + 5 = 2a - 1** **Step 1**: Let us move the like terms- 4a - 2a = -1 - 5
- 2a = -6
**Step 2**: Let's divide both sides by**a's**coefficient (**2**)- 2a/2 = -6/2
- Answer is
**a = -3**

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Amazing facts in Mathematics

**31,556,926** seconds makes **one year**

**1000**

From **0 to 1000**, the only number that has the letter “**a**” in it is “**one thousand**”.

**÷**

The division symbol "**÷**" is actually called an **obelus**

**4**

**Four** is the only number in the English language that is spelt with the same number of letters as the number (**4**) itself.

**40**

**40** is spelt as **FORTY** and not . It is the only number that is spelt with letters arranged in **FOURTY****alphabetical order ðŸ™„**

An **odd number** is a number that **cannot be divisible by 2**.

Every odd number has an “

e” in its spelling. They include:

- On
e- Thr
ee- Fiv
e- S
even- Nin
e

**555** in Thailand should sound like “**hahaha**”. This is because the word **5** means “**ha**” in **Thailand**

**10!** Actually means **10 factoria**l.

**10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800**

**3628800 seconds** is the same as **42 days**

**42 days** is the same as **6 weeks**

When you multiply **111,111,111** by **111,111,111**; the result equals **12,345,678,987,654,321**

With regards to numbers,

Fortyis the only number that is spelt with letters arranged in alphabetical order.

Oneis the only number that is spelt with letters arranged in descending order.

NOTABLE POINTS IN Mathematics

**Circumference** in mathematics means the distance around the edge of a **circle **(or a another **curverd surface**).

**Perimeter** means the distance around a **square** or **rectangle** or **polygon**.

Circumferenceis to circle or any other curved surface

Image Credit: Ducksters

Perimeteris to square or rectangle or polygon

Image Credit: Maths is Fun