Mathematics form 3-fast notes chapter 7-15 Algebraic Formulae + Solid Geometry III + Scale Drawing + Transformation II + Linear Equation + Linear Inequalities + Graph of Function + Rates + Trigonometry © By Kelvin

1. Mathematics Form 3 – Fast Notes Chapter 7-15 © Notes Prepared by Kelvin
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Form 3 - Chapter 7 – Algebraic Formulae [Notes Completely]
Review Form 3 - Chapter 7
In this chapter, you will learn:
1. Variable and Constant
Variable - Not Fixed Quantity Constant - Fixed Quantity
Eg. The height of student(s). Eg. The height of KL Tower.
The number of tourists. The value of  .
The length of cucumber. The diameter of earth.
2. Subject - Single and Positive Variable.
Eg. A pen cost RM 10 and a calculator costs RM27.
Eddy bought x pens and y calculators for RM T.
T = 10x+27y
T is the subject of formula.
3. Same as Form 2-Chapter 3-Algebraic Expression
Express in terms. Some question will have consists Substitution.
→ Eg. y=5 Express x in term y. (x+y=10) → .
4. Exercise 7.2: Express x in term y.
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6
x+y=20 -2x+y=20 -2x-y=20 2x=20 y=4
x+y=20 x-y=20
x-y=20
2x+y=20 2x-y=20 -2x=20 x(y)=20 x=20
x(y)=20
2x(y)=20 -2x(y)=20 x
+x=20
x=20 2x+y=20 -2x-y=20
Level 7 -2x=20 -2x(y)=20 x
+x=20 -2x+y=20
2x-y=20
y=10
Level 8 2x=20 2x(y)=20 x
+x=20 -x
+x=20 -2x+y=20
y=5
x+y=10
x+6=10
x=10-6
x=4

2. Mathematics Form 3 – Fast Notes Chapter 7-15 © Notes Prepared by Kelvin
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Form 3 - Chapter 8 – Solid Geometry III [Notes Completely]
Review Form 3 - Chapter 8
Chp 8 – Solid Geometry III - (Volume)
Volume = Base Area+Height
Name of Solid Geometry Volume Formula
Right Prism
Right Circular Cylinder
Right Pyramid
Right Circular Cone
Sphere
Hemisphere
1 l = 1 000 ml
1 cm3= 1 ml
1 000 cm3=1 000 ml = 1 l
1 cm= 10 mm
1 cm3= 1 000 mm3
1 m= 100 cm
1 m3= 1 00 00 00 cm3
1 m3=1 000 000 cm3=1 000 000 ml 10 l

3. Mathematics Form 3 – Fast Notes Chapter 7-15 © Notes Prepared by Kelvin
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Form 3 - Chapter 9 – Scale Drawing [Notes Completely]
1. Ratio Scale of Scale Drawing = size of drawing(image) : size of actual object
2. Scale Drawing= Length of a side of the drawing .
Length of the corresponding side of the object
3. **1 : __. eg. 1 : 2, 1 : 2
1
.
4. Use in map.
5. Unit conversation:
1km=1000m,1m=100cm,. 1cm=10mm.
6. Unit conversation (in area): 1km2
=1 000 000 m2
,
1m2
=1 00 00 cm2
, 1cm2
=1 0 0 mm2
.
7. Solving problems (formula): FINDING
DISTACE: O
I
O
I
 , FINDING SCALE: I:O.

4. Mathematics Form 3 – Fast Notes Chapter 7-15 © Notes Prepared by Kelvin
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8. Redraw on the grid dependon scale.
Form 3 - Chapter 10 – Transformation II [Notes Completely]
1. Topic same as Form3 - Chapter9 (scale)
2. Similarity of Shapes (Yes and No)
3. Enlargement Scale = Length of (the side) the drawing .
Length of (the corresponding side) the object
4. Finding value: FIND : ORIGIN x = 5
. 8 10 (打岔乘)
10x=40
x = 10÷10
x = 4cm
5. Area of image = (scale factor)2
× area of object *k=scale factor
6. TriangularFormula:
I
k2 O
7. Complete the following table:
Scale factor Area of object (cm2
) Area of image (cm2
)
4 12
1.5 12
36 81
136 8.5
Form 3 - Chapter 11 – Linear Equations II [Notes Completely]
In this chapter, you will learn:
1. The quantity of addition, subtraction, multiplication, division and square, square
root, cube and cube root.
2. The conversions of length, mass, time, area, volume and money.
3. Basic knowledge:
Length
1 km = m
Mass
1 tonne = kg

5. Mathematics Form 3 – Fast Notes Chapter 7-15 © Notes Prepared by Kelvin
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1 m = cm
1 cm = mm
1 kg = g
1g = mg
Time
1 minute = seconds
1 hour = minutes
1 day = hours
1 week = days
1 month = weeks/ days
1 (lunar) year = months/ days
1 leap year = days
4. Linear Equation in two variables by given value of one variable.
5. Simultaneous linear equation in two variable.
6. 2 method of solving simultaneous linear equation is SUBTITUTION & ELIMINATION.
Form 3 - Chapter 12 – Linear Inequalities [Notes Completely]
In this chapter, you will learn:
1. Key Words,their symbol and example number line:
Key Words Symbol Key Words Symbol
- Morethan
- Greater than
- Less than
- Smaller than
- More/Greater than or equal to
- At least
- Minimum
- Cannot less than
- Less/Smaller than or equal to
- Speed limit
- Maximum
- Cannot more than
2. **Be careful of integer that contain negative or fraction or decimal or units.
3. Possible integer of the unknown:- eg: x>8 x=5, 6, 7…
4. Computation and Solving Inequalities in one variable:
5. Addition
+ >>(move to)>> -
6. Subtraction
- >>(move to)>> +
7. Multiplication
× >>(move to)>> ÷
8. Division
÷ >>(move to)>> ×
9. Simultaneous linear inequalities (common value)in number line.
Form 3 - Chapter 13 – Graph of Functions [Notes Completely]
In this chapter, you will learn:
10. Functions: Linear Equation
11. Axis: x-axis and y-axis.
12. Graph of Functions: Pattern of graph
Form 3 - Chapter 14 – Ratio, Rates and Proportions II [Notes Completely]
In this chapter, you will learn:
Form 2:- Ratio- a comparison of quantities with the same unit.
1. If a : b = 3 : 2 , then
a) b : a = 2 : 3

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b) a : ( a + b ) = 3 : ( 3 + 2 )
= 3 : 5
c) a : ( a + b ) = 3 : (3 - 2 )
= 3 : 1
2. If the ratios of a : b and b : c are given , then we can find the ratio of
a) a : b : c
b) a : c
Example: If a : b = 1 : 2 and b: c =4 : 5,
Form 2&4:-Proportions- a quantity is proportional to anotherquantity if they have
equivalent ratios.
3. Given that m = 3 when n = 5 and m = 6 when n = 10.
Since, Thus,m is proportional to n.
Form 3:-Rates - The change in one quantity in relation to anotherquantity.
1. **units and its conversations are important.
2. Eg. Unit per unit write in form of unit/unit OR unit unit-1.
3. Unit of Speed Rate : km/h, m/min, m/sec.
4. Unit of distance (D): kilometre (km) and metre (m).
5. Unit of time (T): hour(h), minute (min), second (sec).
6. Speed Rate Formula:
D
S T
7. Average Speed Formula:
= mean speed
8. Acceleration: Speed increase.
9. Deceleration = Retardation: Speed decrease.
10. Acceleration Formula:

7. Mathematics Form 3 – Fast Notes Chapter 7-15 © Notes Prepared by Kelvin
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Form 3 - Chapter 15 – Trigonometry [Notes Completely]
In this chapter, you will learn:
1. Tangent (tan) 2. Sine (sin) 3. Cosine (cos)
4. Unit: Degrees (o
) and Minutes (’)
5. 1o=60’ 1’=(60)o.
6- Special angle -------------->>>
θ Tan θ Sin θ Cos θ
30o
45o
60o