VCE Specialist Mathematics Practice Exams with Worked Solutions

The 20 practice exams inside the VCE Specialist Mathematics Mastery Pack, each set out like the real paper with a separate worked-solution guide. Open any paper to see what it covers.

1. Practice Exam 140 marks · 9 questions
   • Proof & complex numbers (induction, contradiction, De Moivre) — ~13 marks
   • By-hand calculus (implicit/related rates, anti-differentiation, kinematics, DEs) — ~17 marks
   • Vectors & rational graphs (dot/cross product, geometry, asymptotes) — ~10 marks
   See what this paper covers →
2. Practice Exam 280 marks · 26 questions · 2 sections
   • Section A — 20 multiple-choice across all six areas of study — 20 marks
   • Functions, complex numbers & vectors (rational graphs, factorisation over C, intersecting paths) — ~30 marks
   • Calculus & statistical inference (related rates, SHM kinematics, hypothesis test & CI) — ~30 marks
   See what this paper covers →
3. Practice Exam 340 marks · 9 questions
   • Technology-free by-hand algebra, complex numbers and proof — ~16 marks
   • Calculus by hand: differentiation, anti-differentiation, implicit and related rates — ~14 marks
   • Vectors and vector proof — ~10 marks
   See what this paper covers →
4. Practice Exam 480 marks · 26 questions · 2 sections
   • Multiple choice across all six areas of study — 20 marks
   • Extended response: complex numbers, rational graphs, vectors and kinematics — ~30 marks
   • Extended response: calculus, differential equations and statistical inference — ~30 marks
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5. Practice Exam 540 marks · 9 questions
   • Proof, complex numbers & rational graphs (by hand) — ~13 marks
   • Calculus: differentiation, integration & differential equations — ~14 marks
   • Vectors & kinematics (by hand) — ~13 marks
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6. Practice Exam 680 marks · 26 questions · 2 sections
   • Section A — 20 multiple-choice across all six areas of study — 20 marks
   • Complex numbers, rational-function calculus & vectors (extended) — ~30 marks
   • Differential equations, vector kinematics & statistical inference (extended) — ~30 marks
   See what this paper covers →
7. Practice Exam 740 marks · 9 questions
   • Proof, complex numbers and vectors by hand — ~15 marks
   • By-hand calculus: differentiation, integration and rational graphs — ~15 marks
   • Differential equations and kinematics without technology — ~10 marks
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8. Practice Exam 880 marks · 26 questions · 2 sections
   • Section A multiple-choice across all six areas of study — 20 marks
   • Section B: rational graphs, complex factorisation and applied calculus — ~30 marks
   • Section B: vector motion and statistical inference — ~30 marks
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9. Practice Exam 940 marks · 9 questions
   • Proof & complex numbers (induction on divisibility, conjugate roots, De Moivre) — ~13 marks
   • By-hand calculus (inverse-trig derivatives, related rates, integration by parts, separable DE, kinematics) — ~17 marks
   • Vectors & rational graphs (cross product & planes, vector proof, oblique asymptote) — ~10 marks
   See what this paper covers →
10. Practice Exam 1080 marks · 26 questions · 2 sections
    • Section A multiple-choice across all six areas of study — ~20 marks
    • Complex numbers, rational graphs & vector motion (roots, calculus of graphs, paths/collisions) — ~30 marks
    • Differential equations, kinematics & statistical inference (mixing/logistic, Euler, CI & hypothesis test) — ~30 marks
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11. Practice Exam 11120 marks · 35 questions · 2 sections
    • Exam 1 (tech-free) — proof, complex numbers, calculus & vectors by hand — 40 marks
    • Exam 2 Section A — 20 multiple-choice across all six areas — 20 marks
    • Exam 2 Section B — extended response (graphs, DEs, kinematics, vectors, inference) — 60 marks
    See what this paper covers →
12. Practice Exam 12120 marks · 35 questions · 2 sections
    • Exam 1 (tech-free) — induction, complex algebra, integration & vector geometry by hand — 40 marks
    • Exam 2 Section A — 20 multiple-choice across all six areas — 20 marks
    • Exam 2 Section B — extended response (quotient graphs, related rates, vector motion, inference) — 60 marks
    See what this paper covers →
13. Practice Exam 1340 marks · 9 questions
    • Logic, proof & complex numbers (contradiction on irrationality, proof by cases, De Moivre identity, factorisation over C) — ~14 marks
    • By-hand calculus (implicit differentiation, partial-fraction integration, arc length, separable DE) — ~16 marks
    • Vectors & rational graphs (scalar-resolute proof, vector geometry, quotient-function asymptotes) — ~10 marks
    See what this paper covers →
14. Practice Exam 1480 marks · 26 questions · 2 sections
    • Section A multiple-choice across all six areas of study — ~20 marks
    • Complex numbers, rational graphs & vector motion (roots of 1−i, asymptote analysis, paths & collision) — ~30 marks
    • Logistic DE, volumes/areas of revolution & statistical inference (carrying capacity, inverse-trig integrals, CI & two-tailed test) — ~30 marks
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15. Practice Exam 1540 marks · 9 questions
    • Logic, proof and complex numbers by hand (proof by cases, induction on a product, De Moivre) — ~13 marks
    • By-hand calculus (inverse-trig derivative, by-parts integration, separable DE, rectilinear motion) — ~16 marks
    • Vectors and rational-graph sketching (cross product & plane, vector midpoint proof, oblique asymptote) — ~11 marks
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16. Practice Exam 1680 marks · 26 questions · 2 sections
    • Section A multiple-choice across all six areas of study — 20 marks
    • Section B: quotient-graph analysis, complex 4th roots and logistic growth — ~30 marks
    • Section B: vector path motion, integral applications and statistical inference — ~30 marks
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17. Practice Exam 1740 marks · 9 questions
    • Proof & complex numbers (induction on an inequality, proof by cases, nth roots of unity, De Moivre) — ~14 marks
    • By-hand calculus (implicit 2nd derivative, partial-fraction integral, separable DE, vector kinematics) — ~16 marks
    • Vectors & quotient graphs (scalar resolute, vector proof of concurrency, square-root quotient curve) — ~10 marks
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18. Practice Exam 1880 marks · 26 questions · 2 sections
    • Section A multiple-choice across all six areas of study — 20 marks
    • Section B: rational graph, complex factorisation and applied calculus (revolution & related rates) — ~30 marks
    • Section B: vector kinematics, mixing-tank differential equation and statistical inference — ~30 marks
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19. Practice Exam 1940 marks · 9 questions
    • Proof & complex numbers (induction on an inequality, proof by cases, nth roots & factorisation over C) — ~14 marks
    • By-hand calculus (inverse-trig derivative, partial-fraction integral, separable DE, vector-motion kinematics) — ~17 marks
    • Vectors & rational graphs (cross product & area, dot-product vector proof, quotient-function sketch) — ~9 marks
    See what this paper covers →
20. Practice Exam 2080 marks · 26 questions · 2 sections
    • Section A — 20 multiple-choice across all six areas of study — 20 marks
    • Functions, complex numbers & related rates (quotient graph, factorisation over C, searchlight angle) — ~30 marks
    • Calculus, mixing DE & statistical inference (x-dependent acceleration, fertiliser tank, CI & two-tail test) — ~30 marks
    See what this paper covers →