# Maths

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Conversion between mile and km

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## Tags and Description

### 52 Terms

1

Conversion between mile and km

1 mile = 1.6km

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2

Conversion between kg and lb

1kg = 2.2 lb

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3

Conversion between L and Pints

1L = 1.75pints

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4

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

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

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5

What adds up to 180 degree in a polygon

Exterior and interior angle

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6

How to find the number of sides in a polygon

Number of sides = 360/ exterior angle

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7

How to find the exterior angle

Sum of all the exterior angle adds up to 360 degree

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8

Formula for cosine rule used to find angle

CosA = b²+c²-a²/2bc

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9

How to find the circumference of a sector

2πr * θ/360

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10

How to find the area of a sector

πr² * θ/360

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11

How does vector work

Top number mean left / right

Button number mean up / down

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12

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

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13

Formula for stratified sampling

Sample size / population size * stratum size

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14

Give the 4 rule for congruent triangle

1. SSS

2. SAS

3. ASA

4. RHS

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15

How to calculate population density

Population density = population / land area

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16

What is the points of AER

Makes it easier to compare finance account

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17

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

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18

Problems with sampling

1. Small sample size

2. Time being sampled

3. Do not consider other people or nationals

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19

Y = X² graph

Red = original line

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20

Y = X² + a

Red = original line

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21

Y = X² - a

Red = original line

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22

Y = ax²

Red = original line

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23

Y = X² / 2

Red = original line

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24

Y = -X²

Red = original line

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25

Y = (X+a)²

Red = original line

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26

Y = (X-a)²

Red = original line

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27

Y = (ax)²

Red = original line

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28

Y = (x/2)²

Red = original line

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29

Y = (-X)³

Red = original line

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30

Y = 1/X

Red = original line

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31

Formula for percentage increase

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32

What is the nth term for triangular sequence

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33

name all 3 parallel line angle rule

1. Corresponding angle (F)

2. Alternate angle (Z)

3. Interior angle ( [ )

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34

Venn Diagram notation:

A n B

A u B

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35

Compound interest formula

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

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36

Trapezium rule

h/2 * (y0 + yN + 2 * (y2+y3+y4+…)

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37

is frequency polygon line graph or bar chart

line graph

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38

How much does UQ and LQ equals to in boxplot

UQ = ¾

LQ = ¼

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39

How to calculate the interquartile range

UQ - LQ

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40

Equation of a straight line

y = mx + c

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41

In an inequality graph, what does the dash line represent

The dash line represent < or > sign

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42

What is the curved surface area of a cylinder

2πrh

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43

What is the frequency density of a histogram

The height (y-axis)

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44

What is the formula for frequency density

FD = Frequency / CW

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45

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.

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46

Formula for density

Density = Mass / Volume

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47

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

Sin0 = 0

Sin90 = 1

Sin180 = 0

Sin270 = -1

Sin360 = 0

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48

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

Cos0 = 1

Cos90 = 0

Cos180 = -1

Cos270 = 0

Cos360 = 1

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49

What is the formula for the area and volume of cylinder

Volume = πrh

Surface area = 2πr² + πdh

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50

Volume of pyramid

Volume = 1/3 * area of base * height

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51

Draw out Tan graph

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52

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

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