Algebra
How would I find the break-even point of a cost equation and income equation?
Plot them, and find the point of intersection.
What's the word meaning the amount of edges connecting to a vertex?
Degree
Define taxable income.
Gross income minus deductions - or the amount they use to calculate your tax payable.
How do I graph bivariate data?
Scatterplot
What's the difference between a ratio and a rate?
Rates compare different units, ratios compare quantities in the same units.
Name the three types of non-linear relationships in the Year 12 course.
Exponentials, quadratics/parabolas and inverse/reciprocal/hyperbolas.
When finding the minimum spanning tree, should I select edges with a larger or smaller weight?
Smaller!
Is inflation an example of simple or compound interest?
Compound
What's the difference btween interpolation and extrapolation?
Interpolation - within the data range, extrapolation - outside the data range.
If I know the watts an appliance uses and the hours it has been used, how do I work out the kWh for an appliance?
Convert watts to kilowatts and multiply by number of hours!
If I know both x-intercepts of a parabola, how would I work out both coordinates of its turning point?
x-coordinate - halfway between x-intercepts.
y-coordinate - sub in x-coordinate into equation.
What's float time?
Procrastination time - LST minus EST
What are the two types of depreciation?
Straight line and declining balance.
What does a z-score of -2 mean?
That data point was 2 standard deviation jumps below the mean.
If I use sine rule and I get an answer of 72 degrees for what I know is an obtuse angle, what should I do?
180 minus the angle!
If a population is doubling each year, what type of equation would model this?
Exponential
How can I calculate maximum flow of a network?
Find the minimum cut, or track down the flow of each edge from source to sink until you are at max capacity.
What's the difference between dividend and dividend yield?
Dividend - amount paid when you own a share.
Dividend yield - the dividend as a percentage of the market price.
How do I calculate the probability that Event A and Event B will both happen?
Multiply the probability that Event A will happen with the probability that Event B will happen.
When should I use the cosine rule?
When I have information on three sides and one angle of a non-right-angled triangle.
If I increase my speed from 10 km/h to 20 km/h, it would halve my travel time.
If I increase my speed from 110 km/h to 120 km/h, will it have the same effect? Why/why not?
No, it will have a much smaller decrease in travel time - two variables are inversely related.
Is the shortest path through a network (e.g. on a map) always the best path? Why/why not?
No, killer bees might be attacking that route. Or killer Miss Swansons.
Compare simple interest, compound interest and an annuity - what's the differences between them?
Simple interest - lump sum invested, interest on principal only.
Compound interest - lump sum invested, interest on principal + any interest added.
Annuity - regular contributions invested, also earn compound interest.
If I were asked to compare two sets of data, what are 8 things I could compare? e.g. mean
Mean, median, mode, min, max, quartiles, outliers, skewedness, IQR, standard deviation, modality (e.g. unimodal, bimodal) etc.
Explain percentage error.
Absolute error (half of smallest unit) divided by the measurement multiplied by 100.