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Title: Math's important formulas
Description: Master the fundamentals of mathematics with this comprehensive collection of essential formulas from Grade 8 to Grade 12. This guide is perfect for students, educators, and anyone preparing for exams like O-Levels, A-Levels, SAT, or entrance tests.
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Here’s a list of important math formulas categorized by
topic, covering concepts from grade 8 to 12:

Algebra
1
...
Factoring Formulas

(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
A2 – b2 = (a – b) (a + b)
(a + b)3 = a2+3ab(a + b)+b3
(a - b)3 = a2 - 3ab(a - b) - b3
3
...
Sum of n Terms of an Arithmetic Progression (AP)
𝑛

Sn = [2a + (n – 1)d]
2

5
...
Sum of n Terms of a Geometric Progression (GP)

Sn = a

1βˆ’π‘Ÿ 𝑛
1βˆ’π‘Ÿ

Geometry
1
...
h
2

-

2
...
Area of a Triangle (Hero’s Formula)

A = βˆšπ‘ (𝑠 βˆ’ π‘Ž)(𝑠 βˆ’ 𝑏)(𝑠 βˆ’ 𝑐)
Where

s=

π‘Ž+𝑏+𝑐
2

4
...
Basic Trigonometric Ratios
π‘‚π‘π‘π‘œπ‘ π‘–π‘‘π‘’

sin πœƒ =
Cos Σ© =

π»π‘’π‘π‘œπ‘‘π‘’π‘›π‘’π‘ π‘’
π΄π‘‘π‘—π‘Žπ‘π‘’π‘›π‘‘
π»π‘¦π‘π‘œπ‘‘π‘’π‘›π‘’π‘ π‘’

tan πœƒ =

sin πœƒ
cos πœƒ

2
...
Law of Sine’s

Surface Area = Ο€r(l + r)

π‘Ž
𝑆𝑖𝑛𝐴

+

𝑏
𝑆𝑖𝑛𝐡

+

𝑐
𝑆𝑖𝑛𝐢

4
...
Area of a Triangle Using Trigonometry

1

Area = A = abSinC
2

Calculus (Grade 12)
1
...
Integration Rules

Xn dx =

π‘₯ π‘›βˆ’1
π‘›βˆ’1

+C

Ex dx = ex + C
1/x dx = ln|x| + C

Statistics & Probability
1
...
Probability

P(E) =

π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ πΉπ‘Žπ‘£π‘œπ‘’π‘Ÿπ‘Žπ‘π‘™π‘’ π‘‚π‘’π‘‘π‘π‘œπ‘šπ‘’π‘ 
π‘‡π‘œπ‘‘π‘Žπ‘™ π‘›π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’π‘ 

3
Title: Math's important formulas
Description: Master the fundamentals of mathematics with this comprehensive collection of essential formulas from Grade 8 to Grade 12. This guide is perfect for students, educators, and anyone preparing for exams like O-Levels, A-Levels, SAT, or entrance tests.
Buy These NotesPreview