ATARMAxxing · Mathematics Methods
WACE Mathematics Methods Practice Exams with Worked Solutions
20 full-length papers · worked solutions for every question
The 20 practice exams inside the WACE Mathematics Methods Mastery Pack, each set out like the real paper with a separate worked-solution guide. Open any paper to see what it covers.
- derivatives of e^x, sin x and cos x with the chain rule (3.1)
- definite integrals by the fundamental theorem (3.2)
- binomial probability by formula (3.3)
- log laws and index equations (4.1)
- confidence interval for a proportion (4.3)
- product and quotient rules (3.1)
- area between two curves (3.2)
- expected value and variance of a discrete random variable (3.3)
- derivative of ln f(x) (4.1)
- normal probabilities and quantiles with CAS (4.2)
- second derivative test and points of inflection (3.1)
- f(x) from f'(x) and an initial condition (3.2)
- Bernoulli mean and variance (3.3)
- graph of y = log_a (x - c) and its asymptote (4.1)
- sample proportion mean and standard deviation (4.3)
- optimisation in context (3.1)
- displacement and position from velocity and acceleration (3.2)
- linear change of scale and origin for E(X) and Var(X) (3.3)
- integral of f'(x)/f(x) (4.1)
- probability density function with an unknown constant (4.2)
- increments formula for small changes (3.1)
- rectangle sums to estimate area (3.2)
- cumulative binomial probabilities with technology (3.3)
- logarithmic scales in context (4.1)
- margin of error and sample size (4.3)
- derivative of Ae^(kx) in a growth model (3.1)
- signed areas and additivity of definite integrals (3.2)
- uniform discrete random variables (3.3)
- solving logarithmic equations algebraically (4.1)
- standardising normal variables and comparing z-scores (4.2)
- curve sketching from f' and f'' (3.1)
- the signed area function F(x) and F'(x) = f(x) (3.2)
- binomial contexts and assumptions (3.3)
- inverse relationship of e^x and ln x (4.1)
- sources of bias and random sampling (4.3)
- derivatives of x sin x and e^(-x) sin x (3.1)
- total change from a marginal rate (3.2)
- point estimates from relative frequencies (3.3)
- tangent to y = ln x (4.1)
- cumulative distribution function of a continuous random variable (4.2)
- acceleration as the second derivative of position (3.1)
- integrals of the form f(ax - b) (3.2)
- inverse binomial problems for n or p (3.3)
- logarithmic models in practical problems (4.1)
- simulation of repeated confidence intervals (4.3)
- chain rule with composite trigonometric functions (3.1)
- area under a curve with exact values (3.2)
- standard deviation of a discrete random variable (3.3)
- index equations solved with logarithms (4.1)
- triangular continuous random variable (4.2)
- concavity and the second derivative (3.1)
- linearity of anti-differentiation (3.2)
- binomial mean np and variance np(1 - p) (3.3)
- translations of y = log_a x (4.1)
- confidence level and z quantile trade-off (4.3)
- derivative of tan x by the quotient rule (3.1)
- families of curves with the same derivative (3.2)
- Bernoulli random variables in two-outcome contexts (3.3)
- derivative of ln x and its integral (4.1)
- inverse normal to find mu or sigma (4.2)
- optimisation with a derived constraint (3.1)
- area between curves with intersection points (3.2)
- probability distribution tables (3.3)
- algebraic properties of logarithms (4.1)
- approximate normality of p-hat for large n (4.3)
- derivative of e^x from the limit definition of e (3.1)
- definite integral as a limit of sums (3.2)
- expected value as a measure of location (3.3)
- solving equations with ln and e (4.1)
- expected value of a continuous random variable by integration (4.2)
- trigonometric derivatives in a practical model (3.1)
- position from acceleration with initial values (3.2)
- binomial probability of at least or at most (3.3)
- logarithmic scale conversions (4.1)
- interpreting a confidence interval in context (4.3)
- second derivative and points of inflection on a sketch (3.1)
- integrals of e^x, sin x and cos x (3.2)
- effects of aX + b on mean and standard deviation (3.3)
- sketching y = log_a x + b (4.1)
- normal distribution features and symmetry (4.2)
- product rule with exponential and trigonometric factors (3.1)
- fundamental theorem proof illustrated geometrically (3.2)
- modelling data with a discrete random variable (3.3)
- integral of 1/x with limits (4.1)
- sample size for a given margin of error (4.3)
- increments formula and percentage change (3.1)
- total change from a rate of flow (3.2)
- non-uniform discrete random variables (3.3)
- natural logarithm and its inverse (4.1)
- variance of a continuous random variable (4.2)
- stationary points and their nature (3.1)
- area under a curve estimated with sums then exact (3.2)
- binomial modelling of a survey (3.3)
- practical problems with logarithmic derivatives (4.1)
- variability of random samples from Bernoulli distributions (4.3)
- exponential decay model and its derivative (3.1)
- linear motion: displacement versus distance (3.2)
- Bernoulli trials and independence (3.3)
- derivative of ln f(x) in a rate problem (4.1)
- normal quantiles in a practical context (4.2)
Included in the WACE Mathematics Methods Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
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