TAS · TASCQ&A
Math MethodsQ&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.1Q&A pairs
- Construct probability distributions for discrete random variables, find their mean and variance, and apply the binomial distribution.1Q&A pairs
- Exponential and logarithmic functions: graphs, laws, the number e, derivatives and growth and decay models0Q&A pairs
- Further differentiation and applications: product, quotient and chain rules, curve sketching, optimisation and rates of change1Q&A pairs
- Relate position, velocity and acceleration through differentiation and integration for rectilinear motion.2Q&A pairs
- Use the second derivative to determine concavity, locate points of inflection, and apply the second derivative test.3Q&A pairs
Unit 4
- Find antiderivatives of exponential and trigonometric functions and apply them in definite integrals.1Q&A pairs
- Calculate the area enclosed between two curves using definite integration.1Q&A pairs
- Use probability density functions and the normal distribution, including standardisation to z-scores, to find probabilities.2Q&A pairs
- Find antiderivatives and definite integrals and use them to calculate areas and solve rate problems.1Q&A pairs
- Use the distribution of sample proportions to construct and interpret confidence intervals for a population proportion.1Q&A pairs
- Understand random sampling and describe the distribution of the sample proportion, including its mean and standard deviation.2Q&A pairs
- Use the trapezoidal rule to approximate definite integrals and areas under curves.0Q&A pairs