Formulas

Question 1

How do you calculate the median?

Answer 1

n+1 / 2

Question 2

How do you calculate the Lower Quartile?

Answer 2

n+1 / 4

Question 3

How do you calculate Upper Quartile?

Answer 3

3(n+1) / 4

Question 4

How do you calculate Frequency Density?

Answer 4

Frequency / Class Width

Question 5

How do you calculate Inter Quartile Range?

Answer 5

Upper Quartile - Lower Quartile

Question 6

What is the Cosine Rule?

Answer 6

a²= b² + c² - 2bc Cos A

Question 7

What is the Sine rule for Angles?

Answer 7

sinA / a = sinB / b = sinC / c

Question 8

What is the Sine rule for Sides?

Answer 8

a / sinA = b / sinB = c / sinC

Question 9

How do you calculate Non-right angle triangles?

Answer 9

Area = 1/2 a b sinC (But can be anything exp. 1/2 c b sinA)

Question 10

What does A n B?

Answer 10

A and B

Question 11

What does A u B mean?

Answer 11

A or B

Question 12

What does A’ mean?

Answer 12

Not A

Question 13

What does a closed (coloured) circle and open circle mean in inequalities?

Answer 13

Closed - ≤ or ≥

Open - < or >

Question 14

What is the equation for completing a square?

Answer 14

(x + a)² + b

Question 15

How do you calculate the turning point and the coordinates of that?

Answer 15

(x + a)² - b –> (-a , b)

Question 16

How do you complete the square when the co-efficent is x² ?

Answer 16

a(x + b)² + c

Question 17

What is the quadratic formula?

Answer 17

x = −b ± √(b2 − 4ac) / 2a

Question 18

X^1/n

Answer 18

n^√x

Question 19

X^-n

Answer 19

1/X^n

Question 20

√a x √b =

Answer 20

√a x b

Question 21

1. 3√2 x 3√2 =

2. √8 + √18

Answer 21

1. 9√4 = 9 x 2

2. √4√2 + √9+√2 = 5√2

Question 22

How do you find the Nth Term of a Geometric sequence?

Answer 22

Un = a x r ^ n-1

Question 23

Find the Arithmetic proggression of u1, u2, u3

Answer 23

u2 - u1 = u3 - u2

Question 24

Find the Geometric proggression of u1, u2, u3?

Answer 24

u2/u1 = u3/u2

Question 25

How do you find the Nth term of a geometric sequence?

Answer 25

Un = a (first number) x r (commen ratio) ^n-1

Question 26

How do you find the Nth term of a Quadratic Sequence?

Answer 26

1. 2 difference/2 to find Xn^2
2. Then put in a table n^2, term and need.
3. Then see what it times up and pluses and minuses to get the times.

Question 27

What is a frequency polygon?

Answer 27

Line graph

Question 28

How do you calculate percentage change?

Answer 28

Actual Change / Original Amount x 100

Question 29

How do you calculate exterior angles of a Polygon?

Answer 29

360/number of lengths

Question 30

Hiw do you calculate the Distance between Two Cooridnates?

Answer 30

√(x2 - x1)^2 + (y2 - y1)^2

Question 31

How do you calculate the Area of a Sector?

Answer 31

angle/360 x πr²

Question 32

How do you calculate the Arc length?

Answer 32

Angles/360 x 2πr

Question 33

How do you find the mid-point between two lines?

Answer 33

MP = y2 - y1 / x2 - x1

Question 34

What is the perpendicular graident to a parrelle line?

Answer 34

Negative Recipricle

Question 35

What is the formula for Circle Graphs?

Answer 35

x^2 + y^2 = radius^2

Question 36

What is the form of Cubic Graphs?

Answer 36

y = ax³ + bx² + cx + d

Question 37

What form do Quadratic Graphs take?

Answer 37

y = ax² + bx + c