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Standard deviation is the measure of the SPREADOUT of the data about the MEAN value. It is REFERRED as sigma and represented as SYMBOL σ.

Standard deviation is the measure of the spreadout of the data about the mean value. It is referred as sigma and represented as symbol σ.

A LINE that touches a curve at one point, without passing or CUTTING across it is REFERRED as TANGENT.

A line that touches a curve at one point, without passing or cutting across it is referred as tangent.

For example, if you are the office is 20 miles from your office, and you have reach 8 am, and you KNOW that the traffic is moving at 40 miles per HOUR.

To know what TIME you should leave from home, use this equation

Time taken = distance/ rate of travel

t= 20/40 = ½ or half an hour. To reach the office at 8 a.m., you should leave home at 7: 30 am

For example, if you are the office is 20 miles from your office, and you have reach 8 am, and you know that the traffic is moving at 40 miles per hour.

To know what time you should leave from home, use this equation

Time taken = distance/ rate of travel

t= 20/40 = ½ or half an hour. To reach the office at 8 a.m., you should leave home at 7: 30 am

To calculate or solve problems INVOLVING distance, speed and time we used linear equation, it is also used to FIND SOLUTIONS that involve weight, MASS and DENSITY. Linear equation can be expressed as Ax +By+ Cz+…= D.

To calculate or solve problems involving distance, speed and time we used linear equation, it is also used to find solutions that involve weight, mass and density. Linear equation can be expressed as Ax +By+ Cz+…= D.

An ordered arrangement of a group of object is known as PERMUTATION, for EXAMPLE, the permutation of arrangement of 9 BALLS DIFFERENT in colours in 3 different rows can be done in 9P3= 504 ways.

An ordered arrangement of a group of object is known as Permutation, for example, the permutation of arrangement of 9 balls different in colours in 3 different rows can be done in 9P3= 504 ways.

If bus conductor issues 50 tickets in 30 minutes, so the number of TICKET issues in 8 HR. will

(480 X50) / 30 = 800 tickets

So the conductor can ISSUE 800 tickets during 8 hrs.

If bus conductor issues 50 tickets in 30 minutes, so the number of ticket issues in 8 hr. will

(480 x50) / 30 = 800 tickets

So the conductor can issue 800 tickets during 8 hrs.

• 1 hectare = 100 meters on each SIDE , so a hectare has 100 m x 100 m = 10,000 m2
• A square millimetre is millimetres x millilitres; a millimetre is a thousand part of a meter, so a square millimetre is one millionth of a square meter

1 X 1 = 1 of a square meter
1000 1000 1,000, 000

1 X 1 = 1 of a square meter
1000 1000 1,000, 000

Cubic Meter is the standard unit USED to measure the volume of an object LENGTH by length. The unit is WRITTEN in M3.

1 m3 (Cubic Meter) = 1000 liters

Cubic Meter is the standard unit used to measure the volume of an object length by length. The unit is written in m3.

1 m3 (Cubic Meter) = 1000 liters

To CONVERT a percentage into fraction let SAY 70% to a fraction

• Convert 70 % into DECIMAL = 70/ 100 = 0.7
• Write down the decimal “over” the number 1 = 0.7/1
• Then multiply top and bottom by 10 = 0.7x 10 = 7/10

For each number after the decimal point 1 x 10

(10 for 1, 100 for 2)

• Which will give = 7/10
• 7/10 it the fraction form

To convert a percentage into fraction let say 70% to a fraction

For each number after the decimal point 1 x 10

(10 for 1, 100 for 2)

To convert a fraction to a PERCENTAGE, we look into an example for 4/9

• FIRST DIVIDE 4/9 = 0.44
• Then multiply by 100 = 0.44 x 100 = 44.44
• Add the “ % “ SIGN to the answer = 44.44%

Percentage of 4/9 = 44.4 %

To convert a fraction to a percentage, we look into an example for 4/9

Percentage of 4/9 = 44.4 %

In POLYGONS, angle between any SIDE of the SHAPE and a line extended from the next side is REFERRED as Exterior Angles. All the exterior angles of the polygon add up to 360°. Each exterior angle must be 360°.

In polygons, angle between any side of the shape and a line extended from the next side is referred as Exterior Angles. All the exterior angles of the polygon add up to 360°. Each exterior angle must be 360°.

• POINT has no DIMENSIONS
• Line is one-DIMENSIONAL
• Plane is two dimensional
• Solid is THREE dimensional

GEOMETRY can be classified into two classes

• PLANE Geometry: It is about flat shapes LIKE triangles, lines and circles that can be drawn on a piece of paper
• Solid Geometry: It is about three-dimensional OBJECTS like cylinders, cubes, prism and spheres

Geometry can be classified into two classes

To avoid confusion from where to start the calculation from, you have to FOLLOW the BODMAS

• B = Bracket first
• O = Orders ( Powers and Square roots )
• DM = Division and Multiplication
• AS = Addition and Subtraction

Once you have DONE with B or O, then proceed from LEFT to right doing any “D” or “M” as it is given in the problem, and then proceed from left to right doing any “A” or “S” as given in the problem.

To avoid confusion from where to start the calculation from, you have to follow the BODMAS

Once you have done with B or O, then proceed from left to right doing any “D” or “M” as it is given in the problem, and then proceed from left to right doing any “A” or “S” as given in the problem.

Formula to CALCULATE this,

(e1+e2+e3) /3 = $ 1000
1100+500+e3 = 1000 X 3
1600+e3 = 3000
e3 = 3000-1600
= 1400

The THIRD employee will earn $1400

Formula to calculate this,

(e1+e2+e3) /3 = $ 1000
1100+500+e3 = 1000 x 3
1600+e3 = 3000
e3 = 3000-1600
= 1400

The third employee will earn $1400

• Commutative LAWS say we can swap numbers, and you still get the same number when you add, for example, a+b = b+a and same for multiplication.
• Associative laws say it does not MATTER how we group the number final value will remain the same, for example, (a+b)+c = (a+b)+c , and same for multiplication
• DISTRIBUTIVE laws say that we can have the same answer while multiplying a number by a group of numbers added together or multiplying them separately and then add them, For example, a x ( b+c) = AXB + BXC

There are TWO TYPES of interest which can be calculated using a different FORMULA

Simple Interest
COMPOUND Interest

To calculate simple interest, formula used is (PX RX T)/ 100

Where P is the principal amount, R is for the rate of interest and t is for time Formula for calculating compound interest is P X (1 + r/100) ^t

There are two types of interest which can be calculated using a different formula

Simple Interest
Compound Interest

To calculate simple interest, formula used is (PX RX T)/ 100

Where P is the principal amount, R is for the rate of interest and t is for time Formula for calculating compound interest is P X (1 + r/100) ^t

If each rack consist of 10 box of chalk stick, then TOTAL number of box on 4 racks will be

4X 10 = 40

Now, the second part is 10 of the BOXES are in use which means that total amount of box left is= 40 – 10 = 30.

Now the fraction will be

REMAINED/ total = 30/ 40 = 3 / 4 is the fraction remain in the rack

If each rack consist of 10 box of chalk stick, then total number of box on 4 racks will be

4X 10 = 40

Now, the second part is 10 of the boxes are in use which means that total amount of box left is= 40 – 10 = 30.

Now the fraction will be

Remained/ total = 30/ 40 = 3 / 4 is the fraction remain in the rack

A 30 Cup SHELL requires 45 ft. of WALL.

A 30 Cup shell requires 45 ft. of wall.

Algebra is one of the FIELDS of maths, which uses symbols and letters to REPRESENT numbers, point and objects, as well as relationship between them. It is used to know the unknown VARIABLES.

For EXAMPLE, you have lost 5 pens, and you are left with 10 pens now, to know the total NUMBER of pens you had it. You will use algebraic equation.

X -5 = 10
X= 10+5 = 15 which is the total number of pens you had.

Algebra is one of the fields of maths, which uses symbols and letters to represent numbers, point and objects, as well as relationship between them. It is used to know the unknown variables.

For example, you have lost 5 pens, and you are left with 10 pens now, to know the total number of pens you had it. You will use algebraic equation.

X -5 = 10
X= 10+5 = 15 which is the total number of pens you had.

Different types of FIELD for maths are Calculus, ALGEBRA and FRACTIONS. I USE all types of maths, but Calculus is major.

Different types of field for maths are Calculus, Algebra and Fractions. I use all types of maths, but Calculus is major.