Maths Standard Preliminary formulas

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What is the b in the g-i formula?

y-intercept

What is the blood alcohol content for females?

(10N - 7.5H) ÷ 5.5M

What is the blood alcohol content for males?

(10N - 7.5H) ÷ 6.8M

What is the formula for percentage error?

(absolute error÷measurment) x 100%

How many centimetres cubed equals 1 cm cubed?

1 000 000cm3 = 1m3

What is a grouped frequency table?

1. Classes are listed in ascending order 2. Tally column records the number of times the scored occurred 3. Frequency column is the count of each outcome or class

How do you find sample standard deviation

1.stats mode 1 2.enter your data and press m+ 3. calculate ALPHA 5

How do you find population standard deviation?

1.stats mode 1 2.enter your data and press m+ 3. calculate ALPHA 6

Area of a semi circle

1/2 πr²

Volume of a triangular prism

1/2bh x H

Volume of a rectangular pyramid

1/3 x lb x h

Volume of a square pyramid

1/3 x s² x h

Volume of a cone

1/3 x πr² x h

How many centimetres squared equals metres squared?

10000cm2 = 1m2

How many metres squared equals 1 hectare?

10000m2 = 1ha

Open cylinder SA formula

2πr ²

Closed cylinder SA formula

2πr ² = 2πrh

Volume of a sphere

4 ÷3 πr3

How many kilojoules equal 1 calorie?

4.184kj = 1cal

Sphere SA formula

4πr ² or 2πd

What is compound interest formula

A = 1(P +/- r)n

Formula for fuel consumption

Amount of fuel (L) X 100 ÷ distance travelled (km)

How do you calculate the number of hours?

BAC ÷ 0.015

What is a stratified sample?

Categories of a population are chosen such as male/female. The members are randomly selected from each category

What is a frequency histogram?

Column graph that uses the score as the horizontal axis and the frequency as the vertical axis

What is a cumulative frequency histogram?

Column graph with the score as the horizontal axis and cumulative frequency as the vertical axis.

What is a pareto chart?

Combines a frequency histogram and cumulative frequency line graph

What is Fried's Rule?

D = age (months) x adult dosage ÷ 150

What is Youngs Rule?

D = age (years) x adult dosage ÷ age (years + 12)

What is Clarks Rule?

D = weight (kg) x adult dosage ÷ 70

What is discrete?

Data can only take exact numerical values such as 0 and 1

What is continuous?

Data that can take any numerical value such as 71.25

What is numerical?

Discrete and continuous

Calculating post-GST

Divide the total cost by 110%

What is the relative frequency formula?

Frequency of a data value ÷ number of data values

What is the unit of measurement?

Going down you times, going up you divide

What is the m in the g-i formula?

Gradient of the line

Range formula

Highest score - lowest score

What is the H in BAC?

Hours spent drinking

Simple interest formula

I=Prn

What is a cumulative frequency polygon?

Line graph constructed by joining the top right-hand corner of the rectangles

What is a frequency polygon?

Line graph of a frequency table. It can be joined by joining the mid-points of the bars of the histogram

What is the M in BAC?

Mass in kilograms

What is the upper and lower quartile?

Median of the upper and lower half of data

What is a random sample?

Members of the population have an equal chance of being selected

What is a self-selected sample?

Members of the population volunteer themselves

What is the median

Middle score

What is the mode

Mose common score

How do you calculate distance, speed and time?

Using the triangle

Area of a parallelogram

bh

What is the stopping distance formula?

d = 5vt/18 + r2/170 v=speed t=time to stop r=reaction time

What is Dn in s-l-d formula?

depreciated amount per time period x number of time periods

Trapezodial formula

h ÷ 2 (df + dl)

Volume of a rectangular prism

lb x h

What is the expected frequency formula?

n x p =np

Cube volume formula

s3 x h

What is the gradient formula?

vertical rise ÷ horizontal run

What is the gradient-intercept formula?

y = mx + b

Area of a sector

θ ÷ 360 x πr²

Area of an annulus

π(R² - r²)

Cone SA area formula

πr ² + πrl

Area of a circle formula

πr²

Volume of a cylinder

πr²h

What is ordinal

Name does indicate order

What is a nominal?

Name does not indicate order

What is categorical?

Nominal and Ordinal

What is the N is BAC?

Number of drinks

What is the expected frequency?

Number of time that a particular event should occur

What is a systematic sample?

Population is divided into a structured sample size. The members are orderly selected from this structure, such as each 3rd person order.

How do you describe the skewness of a datasets?

Positively skewed has a long tail on the right hand side and negatively skewed has a long tail on the left hand side

What is Vo in s-l-d formula?

Purchase price

Outlier formula lower quartile

Q1 - 1.5 x IQR

Outlier formula upper quartile

Q3 + 1.5 x IQR

Interquartial range

Q3 - Q1

Straight line depreciation formula

S = Vo - Dn

What is an outlier?

Separated from the majority of the data

What is the sample space?

Set of all possible outcomes

How do you describe the shape of datasets?

Smoothness, symmetry and number of modes

What is standard deviation?

Spread of data about the mean

Mean formula

Sum of scores ÷ number of scores OR x = E times f times x ÷ E times f

What is the absolute error?

The different between the actual value and measured value

What is cumulative frequency?

The frequency of the score plus the frequency of all the scores.

What is the precision or limit of reading?

The smallest unit on the measuring instrument


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