As most of you know, we created this page for a competition, so please tell your friends and family, leave a comment on some of our posts and we will really appreciate that.
Thank You~
Friday, 17 April 2015
Math Game? KENKEN!!!
Here is a math game and its called KenKen.
For those who doesn't know how to play this game, you can refer to this video on YouTube.
HOW TO SOLVE KENKEN
But if you don't prefer the video, here is a complete KenKen puzzle as a reference.
And so, here are 5 easy to moderate KenKen puzzle. Good Luck~
For those who doesn't know how to play this game, you can refer to this video on YouTube.
HOW TO SOLVE KENKEN
But if you don't prefer the video, here is a complete KenKen puzzle as a reference.
And so, here are 5 easy to moderate KenKen puzzle. Good Luck~
Tuesday, 31 March 2015
FORM 3 NOTES
Here are some notes according to the Form 3 syllabus. We hope this can help you out in some way~
ALGEBRAIC EXPRESSION
ADDITION AND SUBTRACTION OF ALGEBRAIC FRACTIONS
MULTIPLICATION AND DIVISION OF ALGEBRAIC FRACTIONS
a) p² - pq × p =
p ( p – q ) × p
2 p²
- q² 2 (p + q) (p – q)
b) 4
÷ 2 = ² 4 × y
9xy
y 9xy 2
Polygon
A polygon is a plane shape (two-dimensional) with straight sides.
Examples include triangles, quadrilaterals, pentagons, hexagons and so on.
Regular
A
"Regular Polygon" has:
Otherwise
it is irregular.
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|
.
Properties
|
Exterior Angle
The Exterior Angle is the angle between any side of
a shape,
and a line extended from the next side. 
All the Exterior Angles of a polygon add up to 360°
|
|
Interior
Angle = 180° - Exterior Angle
|
|
ALGEBRAIC EXPRESSION
ADDITION AND SUBTRACTION OF ALGEBRAIC FRACTIONS
Ò Example :-
a )
1 + 1 = 1 + 1
(×3)
3x x
3x x (×3) ß ADDITION
= 1
+ 3
3x 3x
= 4
3x
b) 3 - a =
3 × (3bc) - a × (2a)
2a
3bc 2a × (3bc)
3bc × (2a) ß SUBTRACTION
= 9bc
- 2a²
6abc
MULTIPLICATION AND DIVISION OF ALGEBRAIC FRACTIONS
Ò Example :-
a) p² - pq × p =
p ( p – q ) × p 2 p²
- q² 2 (p + q) (p – q)
= p²
2 (p + q)
b) 4
÷ 2 = ² 4 × y 9xy
y 9xy 2
= 2
9x
Sunday, 29 March 2015
SPM Mathematics trial papers
Sorry, I could not post the actual SPM trial papers and past year papers because I couldnt download from Scribd so here is the like for anyone interested.
http://www.bumigemilang.com/matematik-koleksi-soalan-percubaan-spm-2014-trial-papers/
http://www.bumigemilang.com/matematik-koleksi-soalan-percubaan-spm-2014-trial-papers/
FAMOUS MATHEMATICIANS
Throughout history, there are many mathematicians that came up with many useful techniques of solving mathematics. Here are some mathematicians that you may or may not have heard of.
1. Johannes Kepler
A German mathematician that has published the first description of the hexagonal symmetry of a snowflake in a pamplet called Strena Seu de Nive Sexangula (A New Year's Gift of Hexagonal Snow). He is also a famous astrologer and astronomer that is best known for his laws of planetary motion.
2. Alan Turing
A British pioneering computer scientist, mathematician, logician, cryptanalyst, philosopher, mathematical biologist, and marathon and ultra distance runner. He is famous for developing the method to solve the Enigma which is a form of secret messaging in the form of a code.
3. Aryabhata
One of the first Mathematician-astronomers from the classical age of Indian mathematics and Indian Astronomy. He was determined to find out the approximate value of pi (
).And so he wrote: "Add four to 100, multiply by eight, and then add 62,000. By this rule the circumference of a circle with a
diameter of 20,000 can be approached."
4. Ada Lovelace
She is one of the few English, female mathematicians known to this day. She is famously known for her work on Charles Babbage's Analytical Engine. She wrote the first algorithm to be used on a machine. Therefore, she is also known as the first computer programmer in all of history.
5. Ptolemy
He is a Greco-Egyptian mathematician, astrologer, astronomer, geographer and poet. He wrote an influential work called Harmonics on music theory and the mathematics of music. He wrote about how musical notes could be translated into mathematical equations and vice versa.
6. Thales
Thales of Milates was a pre-Socratic Greek philosopher as well as a mathematician. He was the one that came up with the Thales' Theorem. This theorem is currently learnt by the Form 3 students in Malaysia and is known to them as one of the laws of circles which is the law: The angle at a semicircle is always 90 degrees.
7. Blaise Pascal
He was a French Mathematician, physicist, inventor, writer and philospher that was regarded as a child prodigy. He came up with what is now known as the Pascal's Triangle where two of the numbers above add up to the number at the bottom.
8. Euclid of Alexandria
He was a Greek mathematician that is also referred to as the Father of Geometry. He wrote the book Elements and it served as a mathematics textbook(especially geometry) in the 19th and early 20th century.
9. Archimedes
Archimedes of Syracuse was an Ancient Greek mathematician, physicist, engineer, inventor and astronomer. He is generally considered the greatest of antiquity of all time. He invented a method for determining the volume of an irregular shape known as the Archimedes' Principle. He also invented the Archimedes' Screw that was used to irrigate the Hanging Gardens of Babylon.
10. Leonhard Euler
A pioneering Swiss mathematician and physicist. He made important discoveries is the fields of infinitesimal calculus, graph theory and also introduced most of the mathematical terminology and notation. Euler is also considered one of the greatest mathematicians that have ever lived.
11. Fibonacci
Fibonacci was an Italian mathematician. He popularized the Hindu-Arabic numeral system in Europe through Liber Abaci(Book of Calculation). He came up with the Fibonacci sequence where the two numbers add up to the number in front i.e. 1-1-2-3-5-8-13-21-34-55...(and so on)
1. Johannes Kepler
A German mathematician that has published the first description of the hexagonal symmetry of a snowflake in a pamplet called Strena Seu de Nive Sexangula (A New Year's Gift of Hexagonal Snow). He is also a famous astrologer and astronomer that is best known for his laws of planetary motion.
2. Alan Turing
A British pioneering computer scientist, mathematician, logician, cryptanalyst, philosopher, mathematical biologist, and marathon and ultra distance runner. He is famous for developing the method to solve the Enigma which is a form of secret messaging in the form of a code.
3. Aryabhata
One of the first Mathematician-astronomers from the classical age of Indian mathematics and Indian Astronomy. He was determined to find out the approximate value of pi (
).And so he wrote: "Add four to 100, multiply by eight, and then add 62,000. By this rule the circumference of a circle with a diameter of 20,000 can be approached."
4. Ada Lovelace
She is one of the few English, female mathematicians known to this day. She is famously known for her work on Charles Babbage's Analytical Engine. She wrote the first algorithm to be used on a machine. Therefore, she is also known as the first computer programmer in all of history.
5. Ptolemy
He is a Greco-Egyptian mathematician, astrologer, astronomer, geographer and poet. He wrote an influential work called Harmonics on music theory and the mathematics of music. He wrote about how musical notes could be translated into mathematical equations and vice versa.
6. Thales
Thales of Milates was a pre-Socratic Greek philosopher as well as a mathematician. He was the one that came up with the Thales' Theorem. This theorem is currently learnt by the Form 3 students in Malaysia and is known to them as one of the laws of circles which is the law: The angle at a semicircle is always 90 degrees.
7. Blaise Pascal
He was a French Mathematician, physicist, inventor, writer and philospher that was regarded as a child prodigy. He came up with what is now known as the Pascal's Triangle where two of the numbers above add up to the number at the bottom.
 |
| Pascal's Triangle |
8. Euclid of Alexandria
He was a Greek mathematician that is also referred to as the Father of Geometry. He wrote the book Elements and it served as a mathematics textbook(especially geometry) in the 19th and early 20th century.
9. Archimedes
Archimedes of Syracuse was an Ancient Greek mathematician, physicist, engineer, inventor and astronomer. He is generally considered the greatest of antiquity of all time. He invented a method for determining the volume of an irregular shape known as the Archimedes' Principle. He also invented the Archimedes' Screw that was used to irrigate the Hanging Gardens of Babylon.
10. Leonhard Euler
A pioneering Swiss mathematician and physicist. He made important discoveries is the fields of infinitesimal calculus, graph theory and also introduced most of the mathematical terminology and notation. Euler is also considered one of the greatest mathematicians that have ever lived.
11. Fibonacci
Fibonacci was an Italian mathematician. He popularized the Hindu-Arabic numeral system in Europe through Liber Abaci(Book of Calculation). He came up with the Fibonacci sequence where the two numbers add up to the number in front i.e. 1-1-2-3-5-8-13-21-34-55...(and so on)
Saturday, 28 March 2015
MATH JOKES~
Just some math humour...
1. Old mathematicians never die; they just lose some of their functions.
2. A statistician is someone who is good with numbers but lacks the personality to be an accountant.
3. Classification of mathematical problems as linear and nonlinear is like classification of the Universe as bananas and non-bananas.
4. Algebraic symbols are used when you do not know what you are talking about.
5. Philosophy is a game with objectives and no rules.
Mathematics is a game with rules and no objectives.
6. Math is like love; a simple idea, but it can get complicated.
7. An engineer, a physicist and a mathematician are staying in a hotel.
The engineer wakes up and smells smoke. He goes out into the hallway and sees a fire, so he fills a trash can from his room with water and douses the fire. He goes back to bed.
Later, the physicist wakes up and smells smoke. He opens his door and sees a fire in the hallway. He walks down the hall to a fire hose and after calculating the flame velocity, distance, water pressure, trajectory, etc. extinguishes the fire with the minimum amount of water and energy needed.
Later, the mathematician wakes up and smells smoke. He goes to the hall, sees the fire and then the fire hose. He thinks for a moment and then exclaims, "Ah, a solution exists!" and then goes back to bed.
8. A chemist, a physicist, and a mathematician are stranded on an island when a can of food rolls ashore. The chemist and the physicist comes up with many ingenious ways to open the can. Then suddenly the mathematician gets a bright idea: "Assume we have a can opener ..."
9. A mathematician, a physicist, and an engineer were traveling through Scotland when they saw a black sheep through the window of the train.
"Aha," says the engineer, "I see that Scottish sheep are black."
"Hmm," says the physicist, "You mean that some Scottish sheep are black."
"No," says the mathematician, "All we know is that there is at least one sheep in Scotland, and that at least one side of that one sheep is black!"
10. One day a farmer called up an engineer, a physicist, and a mathematician and asked them to fence of the largest possible area with the least amount of fence.
The engineer made the fence in a circle and proclaimed that he had the most efficient design.
The physicist made a long, straight line and proclaimed "We can assume the length is infinite..." and pointed out that fencing off half of the Earth was certainly a more efficient way to do it.
The Mathematician just laughed at them. He built a tiny fence around himself and said "I declare myself to be on the outside."
11. The physicist and the engineer are in a hot-air balloon. Soon, they find themselves lost in a canyon somewhere. They yell out for help: "Helllloooooo! Where are we?"
15 minutes later, they hear an echoing voice: "Helllloooooo! You're in a hot-air balloon!!"
The physicist says, "That must have been a mathematician."
The engineer asks, "Why do you say that?"
The physicist replied: "The answer was absolutely correct, and it was utterly useless."
12. To mathematicians, solutions mean finding the answers. But to chemists, solutions are things that are still all mixed up.
13. A mathematician belives nothing until it is proven
A physicist believes everything until it is proven wrong
A chemist doesn't care
biologist doesn't understand the question.
1. Old mathematicians never die; they just lose some of their functions.
2. A statistician is someone who is good with numbers but lacks the personality to be an accountant.
3. Classification of mathematical problems as linear and nonlinear is like classification of the Universe as bananas and non-bananas.
4. Algebraic symbols are used when you do not know what you are talking about.
5. Philosophy is a game with objectives and no rules.
Mathematics is a game with rules and no objectives.
6. Math is like love; a simple idea, but it can get complicated.
7. An engineer, a physicist and a mathematician are staying in a hotel.
The engineer wakes up and smells smoke. He goes out into the hallway and sees a fire, so he fills a trash can from his room with water and douses the fire. He goes back to bed.
Later, the physicist wakes up and smells smoke. He opens his door and sees a fire in the hallway. He walks down the hall to a fire hose and after calculating the flame velocity, distance, water pressure, trajectory, etc. extinguishes the fire with the minimum amount of water and energy needed.
Later, the mathematician wakes up and smells smoke. He goes to the hall, sees the fire and then the fire hose. He thinks for a moment and then exclaims, "Ah, a solution exists!" and then goes back to bed.
8. A chemist, a physicist, and a mathematician are stranded on an island when a can of food rolls ashore. The chemist and the physicist comes up with many ingenious ways to open the can. Then suddenly the mathematician gets a bright idea: "Assume we have a can opener ..."
9. A mathematician, a physicist, and an engineer were traveling through Scotland when they saw a black sheep through the window of the train.
"Aha," says the engineer, "I see that Scottish sheep are black."
"Hmm," says the physicist, "You mean that some Scottish sheep are black."
"No," says the mathematician, "All we know is that there is at least one sheep in Scotland, and that at least one side of that one sheep is black!"
10. One day a farmer called up an engineer, a physicist, and a mathematician and asked them to fence of the largest possible area with the least amount of fence.
The engineer made the fence in a circle and proclaimed that he had the most efficient design.
The physicist made a long, straight line and proclaimed "We can assume the length is infinite..." and pointed out that fencing off half of the Earth was certainly a more efficient way to do it.
The Mathematician just laughed at them. He built a tiny fence around himself and said "I declare myself to be on the outside."
11. The physicist and the engineer are in a hot-air balloon. Soon, they find themselves lost in a canyon somewhere. They yell out for help: "Helllloooooo! Where are we?"
15 minutes later, they hear an echoing voice: "Helllloooooo! You're in a hot-air balloon!!"
The physicist says, "That must have been a mathematician."
The engineer asks, "Why do you say that?"
The physicist replied: "The answer was absolutely correct, and it was utterly useless."
12. To mathematicians, solutions mean finding the answers. But to chemists, solutions are things that are still all mixed up.
13. A mathematician belives nothing until it is proven
A physicist believes everything until it is proven wrong
A chemist doesn't care
biologist doesn't understand the question.
Friday, 27 March 2015
Mode, Median and Mean
Came across this somewhere in the Internet and we hope that this can help our Form 3 friends that are struggling with statistics or remembering what is the mode, median and mean.
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