§-Math Methods Q&A
TAS · TASC← Math Methods
Math Methods Q&A by dot point
A short Q&A bank for every TAS Math Methods syllabus dot point. Each question and answer is drawn directly from our worked dot-point page, so you can scan key concepts before opening the long-form answer.
Unit 3
Establish and use the derivatives of sin x, cos x and tan x, including with the chain, product and quotient rules.
Construct probability distributions for discrete random variables, find their mean and variance, and apply the binomial distribution.
Exponential and logarithmic functions: graphs, laws, the number e, derivatives and growth and decay models
Further differentiation and applications: product, quotient and chain rules, curve sketching, optimisation and rates of change
Relate position, velocity and acceleration through differentiation and integration for rectilinear motion.
Use the second derivative to determine concavity, locate points of inflection, and apply the second derivative test.
Unit 4
Find antiderivatives of exponential and trigonometric functions and apply them in definite integrals.
Calculate the area enclosed between two curves using definite integration.
Use probability density functions and the normal distribution, including standardisation to z-scores, to find probabilities.
Find antiderivatives and definite integrals and use them to calculate areas and solve rate problems.
Use the distribution of sample proportions to construct and interpret confidence intervals for a population proportion.
Understand random sampling and describe the distribution of the sample proportion, including its mean and standard deviation.
Use the trapezoidal rule to approximate definite integrals and areas under curves.