Year 11 General Math

Data

100

Data gathered on the number of home runs in a baseball season would be classified as:

What is discrete numerical?

200

These features should be included to describe a univariate data

What is modality, outlier, shape?

300

The symbol 𝜇 (pronounced m⁢u) can also represent the

What is the mean?

400

Calculate the IQR

Q3-Q1

500

Distributions with higher frequencies on the left side of the graph are:

Positively skewed

Matrices

100

Only matrices of the __________ can be added and subtracted.

Same order (2x2 + 2x2 = defined)

200

____________ matrices/tables always have ‘from’ in columns and ‘to’ in rows

Transition

300

_____________ matrix represents the number of connections directly between objects.

Adjacency

400

For matrices to be able to be multiplied together (have a product)

the number of columns in the first matrix must equal the number of rows in the second matrix.

500

To calculate the value of a state given the initial state, use the formula

S_n=T^n⁢S₀ 

Graphs and Networks

100

Euler’s formula

v − e + f = 2

200

A graph that can be drawn with no intersecting edges

What is a planar graph?

300

A circuit in which every edge is used once

Euler circuit

400

Graphs that have the same number of vertices and edges, with corresponding vertices having identical degrees and connections.

What is isomorphic?

500

An Euler trail exists

If exactly two vertices of a connected graph are odd

Finacial Math

100

GST is added to the cost of an item or service purchased and is currently _____ % in Australia

10%

200

formula to calculate simple interest

I = (Prn)/100 

300

The rule for calculating percentage change

Percentage change = (V₂ - V₁)/V₁ x100

400

A term used to describe a general increase in prices over time that effectively decreases the purchasing power of a currency

What is Inflation?

500

While camping, the Blake family use powdered milk. They mix the powder with water in the ratio of 1:24. 

How much of each ingredient they need to make up 600mL

24⁢g of powder and 576⁢m⁢L of water

Bivariate Data

100

The variable that explains the change in the response variable (RV) - is placed on the x-axis 

 What is explanatory variable (EV)?

200

Least squares line of best fit equation

y = ⁢a⁢ + ⁢b⁢x, where y is the response variable, x is the explanatory variable, b is the gradient or slope of the line, and a is the y-intercept.

300

Describing the association of a scatterplot - 4 descriptors

Direction (pos/neg), strength (r value - strong/mod/weak), form (linear/non-linear), outliers

400

A Pearson's product-moment correlation coefficient 'r' of -0.55, strength and direction.

Moderate negative linear association

500

Tells us the percentage of variation in the response variable that is explained by variation in the explanatory variable.

The coefficient of determination - 'r²'