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Semua orang menduduki PMR dan mereka mampu meraih kejayaan. Anda juga salah seorang yang akan menduduki PMR dan anda juga akan meraih kejayaan.

YAKIN BOLEH!

YAKIN BOLEH!

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For Algebraic Expression you need know:

Factorization:

You need to use HCF method to factorize.

Example: x² + 5x + 6, you need to find the factors of 6, there are 1 x 6, 2 x 3 then add the factors; 1 + 6 = 7 and for 2 + 3 = 5.

Therefore only 2 and 3 you can consider.

The factorization of x² + 5x + 6 = (x + 2)(x + 3). If x² -12x + 36, find the factors of 36, 1 x 36, 2 x 18, 3 x 12, 4 x 9 and 6 x 6.

You can consider 6 x 6 because 6 + 6 = 12 but the expression indicate -12 therefore you need add negative sign,

- 6 - 6 = -12 and (-6) x (-6) = 36. The factorization of x² - 12x + 36 = (x - 6)(x - 6).

Basically there is no special formula to do algebraic expressions, you need to do a lot of exercises to master this topic. Therefore you need to complete exercises in the text book and past years’ PMR examination questions.

Factorization:

You need to use HCF method to factorize.

Example: x² + 5x + 6, you need to find the factors of 6, there are 1 x 6, 2 x 3 then add the factors; 1 + 6 = 7 and for 2 + 3 = 5.

Therefore only 2 and 3 you can consider.

The factorization of x² + 5x + 6 = (x + 2)(x + 3). If x² -12x + 36, find the factors of 36, 1 x 36, 2 x 18, 3 x 12, 4 x 9 and 6 x 6.

You can consider 6 x 6 because 6 + 6 = 12 but the expression indicate -12 therefore you need add negative sign,

- 6 - 6 = -12 and (-6) x (-6) = 36. The factorization of x² - 12x + 36 = (x - 6)(x - 6).

Basically there is no special formula to do algebraic expressions, you need to do a lot of exercises to master this topic. Therefore you need to complete exercises in the text book and past years’ PMR examination questions.

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MATHS TIPS : CIRCLES

Form 2 :

Circles diameter = radius + radius

d = 2r

Formula for circles as follow :

1) d = 2r

2) r = d/2

3) Circumference = 22/7 X d

= 2 X 22/7 X r

4) Arc length = x°/360° X 2 X 22/7 X r

5) Area = 22/7 X r²

6) Area of sector = x°/360° X 22/7 X r²

Form 3 :

To learn circles you need to know the following:

1. A diameter is a straight line that passes through the centre of a circle.

2. A radius that is perpendicular to a chord divides the chord into two equal parts.

3. The features of triangles in Pythagoras Theorem.

4. An angle subtended at the centre by an arc is twice the size of the angle subtended by the same arc at the circumference.

5. The angle subtended at the circumference in a semicircle is 90°.

6. The straight line that joins any two points on the circumference and does not pass through the centre of a circle is called a chord.

7. The relationship between interior opposite angles of cyclic quadrilaterals = 180°.

8. The exterior angles and the corresponding interior opposite angles of cyclic quadrilaterals.

(Image source : mathitumenarik.blogspot.com)

Form 2 :

Circles diameter = radius + radius

d = 2r

Formula for circles as follow :

1) d = 2r

2) r = d/2

3) Circumference = 22/7 X d

= 2 X 22/7 X r

4) Arc length = x°/360° X 2 X 22/7 X r

5) Area = 22/7 X r²

6) Area of sector = x°/360° X 22/7 X r²

Form 3 :

To learn circles you need to know the following:

1. A diameter is a straight line that passes through the centre of a circle.

2. A radius that is perpendicular to a chord divides the chord into two equal parts.

3. The features of triangles in Pythagoras Theorem.

4. An angle subtended at the centre by an arc is twice the size of the angle subtended by the same arc at the circumference.

5. The angle subtended at the circumference in a semicircle is 90°.

6. The straight line that joins any two points on the circumference and does not pass through the centre of a circle is called a chord.

7. The relationship between interior opposite angles of cyclic quadrilaterals = 180°.

8. The exterior angles and the corresponding interior opposite angles of cyclic quadrilaterals.

(Image source : mathitumenarik.blogspot.com)

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MATHS TIPS : Plotting of Graph

You must strictly use the scale given in the question. If you fail to follow the instruction, marks will be deducted.

For example:

• 2cm to 2 units on x-axis. X-axis must start with 2 , 4 , 6, …

• 2cm to 5 units on y-axis. Y-axis must start with 5, 10, 15, …

After plotting the points, you need to draw the curve. If the curve you draw using free hand is not smooth, use flexible (bending) curve, which can help you to get fine curve.

Remember, you must plot the points carefully as it will affect the shape of the curve.

You must strictly use the scale given in the question. If you fail to follow the instruction, marks will be deducted.

For example:

• 2cm to 2 units on x-axis. X-axis must start with 2 , 4 , 6, …

• 2cm to 5 units on y-axis. Y-axis must start with 5, 10, 15, …

After plotting the points, you need to draw the curve. If the curve you draw using free hand is not smooth, use flexible (bending) curve, which can help you to get fine curve.

Remember, you must plot the points carefully as it will affect the shape of the curve.

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MATHS TIPS : LINEAR EQUATION

Basically there is no specific formula for Linear Equation but what you need is to practice with simple examples from your text book. Try to redo all the examples and understand the changes of operations when shift over to the right or left hand side of the equal sign in the equation. For example 2x + 3 = 17, first we need to bring over + 3 to the right side of the equal sign, 2x = 17 - 3. Now addition becomes subtraction, 2x = 14 and then bring over the 2 to right; x = 14/2. Now multiplication become division and the answer x = 7.

Simultaneous linear equations. There are two methods to solve this problem (1) elimination method (2) substitution method. We go for (1) Elimination method: first we need to decide the unknown which to eliminate. Let’s eliminate, therefore we need to equate the coefficient by using LCM method. Next eliminate the common terms in both equations; if both are positive or same sign therefore subtract equation 1 with equation 2; if different sign then add them.

(Image source : freemathhelp)

Basically there is no specific formula for Linear Equation but what you need is to practice with simple examples from your text book. Try to redo all the examples and understand the changes of operations when shift over to the right or left hand side of the equal sign in the equation. For example 2x + 3 = 17, first we need to bring over + 3 to the right side of the equal sign, 2x = 17 - 3. Now addition becomes subtraction, 2x = 14 and then bring over the 2 to right; x = 14/2. Now multiplication become division and the answer x = 7.

Simultaneous linear equations. There are two methods to solve this problem (1) elimination method (2) substitution method. We go for (1) Elimination method: first we need to decide the unknown which to eliminate. Let’s eliminate, therefore we need to equate the coefficient by using LCM method. Next eliminate the common terms in both equations; if both are positive or same sign therefore subtract equation 1 with equation 2; if different sign then add them.

(Image source : freemathhelp)

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Remember the difference between LCM and HCF.

LCM (Lowest Common Multiple) of two or more numbers is the SMALLEST common multiple of these numbers. For example, the LCM of 4 and 6 is 12.

Tip: The division of numbers should be done till you get 1 at the end

HCF (Highest Common Factor) of two or more numbers is the LARGEST common factor of these numbers. For example, the HCF of 54 and 24 is 6.

Tip: The division of numbers shall be stopped if the numbers no longer can be divided by common number

Use algorithm method to solve both LCM & HCF.

LCM (Lowest Common Multiple) of two or more numbers is the SMALLEST common multiple of these numbers. For example, the LCM of 4 and 6 is 12.

Tip: The division of numbers should be done till you get 1 at the end

HCF (Highest Common Factor) of two or more numbers is the LARGEST common factor of these numbers. For example, the HCF of 54 and 24 is 6.

Tip: The division of numbers shall be stopped if the numbers no longer can be divided by common number

Use algorithm method to solve both LCM & HCF.

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Do not draw Histogram when question requires you to draw line. This is always a common mistake made by students.

For example, the question requested students to draw line graph, but due to square grids provided in the question, students may wrongly draw bar chart (Histogram) instead.

Hence, read the question and instruction carefully before you answer.

(Image source : Inmagine.com)

For example, the question requested students to draw line graph, but due to square grids provided in the question, students may wrongly draw bar chart (Histogram) instead.

Hence, read the question and instruction carefully before you answer.

(Image source : Inmagine.com)

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For those of you who need help with PMR Maths (Paper 2) here are some tips for you :)

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"It’s not that I’m so smart, it’s just that I stay with problems longer." ~ Albert Einstein

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Kejayaan ibarat bebayang yang sentiasa berada di sisi kita. Kita yang menggerakkannya. Jangan memikirkan masalah yang akan anda hadapi. FIKIRKAN KEJAYAAN YANG BAKAL ANDA MILIKI selepas peperiksaan!

YOU CAN DO IT!

(Image source : Inmagine.com)

YOU CAN DO IT!

(Image source : Inmagine.com)

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