Maths Equations

Conversion between mile and km

1 mile = 1.6km

Conversion between kg and lb

1kg = 2.2 lb

Conversion between L and Pints

1L = 1.75pints

Formula for finding the sum of all interior angle of a polygon

Sum of interior angle = (Number of sides - 2) * 180

What adds up to 180 degree in a polygon

Exterior and interior angle

How to find the number of sides in a polygon

Number of sides = 360/ exterior angle

How to find the exterior angle

Sum of all the exterior angle adds up to 360 degree

Formula for cosine rule used to find angle

CosA = b²+c²-a²/2bc

How to find the circumference of a sector

2πr * θ/360

How to find the area of a sector

πr² * θ/360

How does vector work

Top number mean left / right

Button number mean up / down

How does graph transformation function works

If the number is inside of the bracket, then it affects the x-axis.

If the number is outside of the bracket, then it affects the y-axis

Formula for stratified sampling

Sample size / population size * stratum size

Give the 4 rule for congruent triangle

1. SSS

2. SAS

3. ASA

4. RHS

How to calculate population density

Population density = population / land area

What is the points of AER

Makes it easier to compare finance account

Explain the 4 different type of sampling

Random - selecting people at random. Everyone has an equal chance

Systematic - start random then static selection such as 10th, then 20th

Stratified - pick a places such as classroom then random selection

Quota - pick a sample as far as possible

Problems with sampling

1. Small sample size

2. Time being sampled

3. Do not consider other people or nationals

Y = X² graph

Red = original line

Y = X² + a

Red = original line

Y = X² - a

Red = original line

Y = ax²

Red = original line

Y = X² / 2

Red = original line

Y = -X²

Red = original line

Y = (X+a)²

Red = original line

Y = (X-a)²

Red = original line

Y = (ax)²

Red = original line

Y = (x/2)²

Red = original line

Y = (-X)³

Red = original line

Y = 1/X

Red = original line

Formula for percentage increase

What is the nth term for triangular sequence

name all 3 parallel line angle rule

1. Corresponding angle (F)

2. Alternate angle (Z)

3. Interior angle ( [ )

Venn Diagram notation:

A n B

A u B

Compound interest formula

Compound interest = Amount * (1+interest rate)^year

Trapezium rule

h/2 * (y0 + yN + 2 * (y2+y3+y4+…)

is frequency polygon line graph or bar chart

line graph

How much does UQ and LQ equals to in boxplot

UQ = ¾

LQ = ¼

How to calculate the interquartile range

UQ - LQ

Equation of a straight line

y = mx + c

In an inequality graph, what does the dash line represent

The dash line represent < or > sign

What is the curved surface area of a cylinder

2πrh

What is the frequency density of a histogram

The height (y-axis)

What is the formula for frequency density

FD = Frequency / CW

State the 7 circle theorem rule

1. Tangent perpendicular to the radius is 90 degree

2. Angle in a semicircle equals to 90 degree

3. Alternate segment theorem

4. The lengths of two tangents from a point are always equal

5. Opposite angles in a cyclic quadrilateral add up to 180 degree

6. Angle in the same segment are equal

7. The angle at the centre is double the angle at the circumference.

Formula for density

Density = Mass / Volume

What is the value of sin0, sin90, sin180, sin270, sin360

Sin0 = 0

Sin90 = 1

Sin180 = 0

Sin270 = -1

Sin360 = 0

What is the value of Cos0, Cos90 Cos180, Cos270, Cos360

Cos0 = 1

Cos90 = 0

Cos180 = -1

Cos270 = 0

Cos360 = 1

What is the formula for the area and volume of cylinder

Volume = πrh

Surface area = 2πr² + πdh

Volume of pyramid

Volume = 1/3 * area of base * height

Draw out Tan graph

Draw graph y=a^x and state the coordinate it passes through