Main Equations

Question 1

Perfect square form

Answer 1

(x + p)^2 + q

Question 2

Quadratic formula

Answer 2

x = (-b +or- [√b^2 - 4ac]) / 2a

Question 3

Sine rule

Answer 3

a/SinA = b/SinB = c/SinC

Question 4

Cosine rule

Answer 4

a^2 = b^2 + c^2 - 2bcCos A

Question 5

Area of triangle (with angle)

Answer 5

1/2abSinC

Question 6

Rule for Sin with exact trigonometry values

Answer 6

√above / 2

Question 7

Rule for Cos with exact trigonometry values

Answer 7

√below / 2

Question 8

Rule for Tan with exact trigonometry values

Answer 8

√above / √below

Question 9

Numbers used for exact trigonometry values

Answer 9

0 - 30 - 45 - 60 - 90

Question 10

Volume of cylinder

Answer 10

πr^2h

Question 11

Surface area of a cylinder

Answer 11

πdh + 2πr^2

Question 12

Volume of cone

Answer 12

1/3 πr^2h

Question 13

Surface area of cone

Answer 13

πrl (for just cone) + πr^2 (base)

l = curved edge

Question 14

Volume of sphere

Answer 14

4/3 πr^3

Question 15

Surface area of sphere

Answer 15

4πr^2

Question 16

Volume of square-based/ triangular based pyramid

Answer 16

1/3 x base area x height

Question 17

SFL =
SFA =
SFV =

Answer 17

SFL = K
SFA = K^2
SFV = K^3

Question 18

Frequency density

Answer 18

Frequency density = frequency / class width

Question 19

What are the axis in a histogram?

Answer 19

x-axis = class width
y-axis = frequency density 
Area = frequency

Question 20

Compound interest

Answer 20

Total = original amount x (1 + multiplier)^number of times