Section A: Algebraic And Trigonometry Mathematical Methods

Question 1

Indices- First Law

Answer 1

𝑎𝑚 × 𝑎𝑛 = 𝑎(𝑚+𝑛)

Question 2

Indices - Second Law

Answer 2

𝑎𝑚 ÷ 𝑎𝑛 = 𝑎(𝑚−𝑛)

Question 3

Indices - Third Law

Answer 3

(𝑎𝑚)𝑛 = 𝑎𝑚𝑛

Question 4

Indices - Fourth Law

Answer 4

𝑎0 = 1

Question 5

Indices - Fifth Law

Answer 5

𝑎−𝑚 = 1/𝑎𝑚 ( a to the power of - m = 1 over a to the power of m)

Question 6

Indices - Sixth Law

Answer 6

𝑎 to the power of 1 over m = m square root a

Question 7

Logarithms - First Law

Answer 7

log𝐴+log𝐵 = log𝐴𝐵

Question 8

Logarithms - Second Law

Answer 8

log𝐴−log𝐵 = log𝐴/𝐵

Question 9

Logarithms - Third Law

Answer 9

log𝐴𝑛 =𝑛log𝐴

Question 10

Linear equation

Answer 10

y = mx + c

Question 11

Linear equations - positive

Answer 11

Positive correlation - graph line going from bottom left to top right

Question 12

Linear equation - negative

Answer 12

Graph line going from top left to bottom right

Question 13

Quadratic equation

Answer 13

(x + 4)(x - 2) = y

Question 14

Quadratic equation

Answer 14

𝑥=−𝑏± 𝑏2−4𝑎𝑐 / 2𝑎

Question 15

Amount of radian equal to degrees

Answer 15

1𝜋 𝑟𝑎𝑑𝑖𝑎𝑛𝑠 = 180°

Question 16

Degrees to radians

Answer 16

𝜋 / 180

Question 17

Radians to degrees

Answer 17

180 / 𝜋

Question 18

Length of an arc

Answer 18

𝑠 = 𝜃𝑟

Question 19

Area of a circle

Answer 19

𝐴 = 𝜋𝑟2

Question 20

Area of a full circle

Answer 20

𝐴 = 1/2 𝜃𝑟2 (1 over 1 times o times r squared)

Question 21

Trigonometry - three sides called

Answer 21

Hypotenuse, opposite and adjacent

Question 22

Sine rule

Answer 22

a/sin(𝐴) = b/sin(𝐵) = c/sin(𝐶)

Question 23

Cosine rule

Answer 23

𝑎2 =𝑏2 +𝑐2 −2𝑏𝑐cos(𝐴)

Question 24

Other cosine rule

Answer 24

cos (𝐴) = 𝑏2 +𝑐2 −𝑎2 / 2𝑏𝑐