Sit it timed. Then mark it like an examiner.
Each assessment follows the school outline and the WACE format: a calculator-free section and a calculator-assumed section, each with its own clock. Do it on paper against the timer. Then reveal the worked solutions, which list the specific behaviour that earns every mark, and tick off what you achieved to get your score.
Topic tests
105 marks, 105 minutes each: a 30-minute calculator-free section and a 75-minute calculator-assumed section ending in three extended worded problems. Two versions of each test, with no question types shared between them.
Test 1 · Term 1
Differentiation rules, second derivatives, applications and anti-differentiation.
Test 2 · Term 2
Integrals and the fundamental theorem, exponential and trigonometric functions, discrete random variables.
Test 3 · Term 2
Binomial distributions, logarithms, sampling and confidence intervals.
Semester 1 exams
Unit 3 in full WACE format: seven calculator-free questions in 50 minutes (52 marks), then ten calculator-assumed questions in 100 minutes (100 marks). Each paper is built around a different set of traps.
Practice 1
The classic errors
A second-derivative test that fails, a maximum at an endpoint, an area with two upper boundaries, distance versus displacement.
Practice 2
Look again
A tangent meeting a cubic at −2a, a reversed-limit FTC, a ‘because everything doubles’ binomial fallacy, a can with and without a lid.
Practice 3
Proof and judgement
A curve crossing its own tangent, length versus cost, an infinite region with finite area, a two-step trig inequality.
Final exams
Units 3 and 4 together, same WACE structure, 152 marks. Five papers, each testing critical thinking a different way.
Practice 1 Free
The whole course
e^π versus π^e from a maximum, a confidence interval misread as a probability, a sample too unusual to be random, a damped vibration with finite path.
Practice 2
Same content, new angles
A ‘three times as likely’ claim that is two, a continuity correction explained, an area done both ways, two polls averaged wrongly.
Practice 3
Diagnose the working
Six questions present a student’s wrong attempt: ln(x²) versus (ln x)², a definite integral taken for a function, a one-sided z, a median in the wrong piece.
Practice 4
Read and decide
Recover f from f′, a density from its cumulative function, a model from a log plot, why house prices cannot be normal, a survey budget.
Practice 5
Connections
A density fixed by continuity, both limits variable, the most likely bias behind 3 heads in 4, an interval for a difference, two stalls where the better mean loses.