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1 F3 Mathematics (Revision Notes) Chapter 1 Factorization of Simple Polynomials

F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Page 1: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

1

F3 Mathematics (Revision Notes)

Chapter 1 Factorization of Simple Polynomials

Page 2: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Chapter 2 Law of Indices

Chapter 3 More About Rational & Irrational Numbers

Page 3: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Chapter 4 Percentages

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Chapter 5 Linear Inequalities in One Unknown

“For inequalities, if we multiply or divide both sides by a negative number,

the direction of the inequality sign has to be reversed.”

Graphical Representation of Inequalities

Inequalities Graphical Representation

1. 5x

2. 7x

5

7

Page 5: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Chapter 6 Introduction to Probability

We may use the tables and tree diagram to calculate the probabilities of

the complicated events.

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Chapter 7 Measures of Central Tendency

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Chapter 8 More On Deductive Geometry

Theorem 1 Congruent Triangles

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Theorem 2 Similar Triangles

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Theorem 3 If AB = AC,

Then ACBABC

(base ∠s, isos. Δ)

Theorem 4 If ACBABC ,

Then AB = AC

(sides opp. equal ∠s)

Theorem 5

If AB = AC,

(property of isos. Δ)

If one of the above conditions satisfies, then other two satisfy.

Page 11: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Theorem 6 If AB = BC = AC

∠A = ∠B = ∠C = 60°

(property of equil. Δ)

Theorem 7

Theorem 8

Page 12: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Chapter 9 Quadrilaterals

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Page 14: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Chapter 10 More About 3D Figures

1.

2.

3.

4.

5.

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Chapter 11 Area and Volume

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Page 18: F3 Mathematics (Revision Notes) Chapter 1 …personal.tsss.edu.hk/roh/F3/F3 Exam Revision (Final Exam)16-17.pdf · Chapter 5 Linear Inequalities in One Unknown “For inequalities,

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Chapter 12 Coordinates Geometry of Straight Lines

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Chapter 13 Application in Trigonometry

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Good luck!

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