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ATARMAxxing · Mathematics Specialist

WACE Mathematics Specialist Practice Exams with Worked Solutions

20 full-length papers · worked solutions for every question

The 20 practice exams inside the WACE Mathematics Specialist 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 1134 marks · 18 questions · 2 sections
    • de Moivre and polar powers (3.1)
    • composite-function domain (3.2)
    • partial fractions (4.1)
    • line-plane intersection (3.3)
    • sample mean distribution (4.3)
    • logistic model (4.2)
    • implicit differentiation (4.2)
    • de Moivre and multiple-angle identities (3.1)
    • spheres in three dimensions (3.3)
    • volumes of revolution (4.1)
  2. Practice Exam 2134 marks · 18 questions · 2 sections
    • loci in the Argand plane (3.1)
    • rational function sketching (3.2)
    • trigonometric substitution (4.1)
    • projectile motion with vectors (3.3)
    • confidence interval width (4.3)
    • circular motion (3.3)
    • trigonometric identities in integration (4.1)
  3. Practice Exam 3134 marks · 18 questions · 2 sections
    • roots of unity (3.1)
    • inverse functions (3.2)
    • volume of revolution about the y-axis (4.1)
    • related rates (4.2)
    • systems of equations with a parameter (3.3)
    • nth roots of complex numbers (3.1)
    • increments formula (4.2)
  4. Practice Exam 4134 marks · 18 questions · 2 sections
    • conjugate roots of a quartic (3.1)
    • y = 1/f(x) and y = |f(x)| (3.2)
    • separable differential equation (4.2)
    • vector proof in 3D (3.3)
    • sample-size calculation (4.3)
    • Newton’s law of cooling (4.2)
    • slope fields (4.2)
  5. Practice Exam 5134 marks · 18 questions · 2 sections
    • multiplication as rotation (3.1)
    • f(|x|) and absolute value equations (3.2)
    • area between curves in y (4.1)
    • simple harmonic motion (4.2)
    • particles meeting (3.3)
    • motion with variable acceleration (4.2)
    • closest approach in 3D (3.3)
  6. Practice Exam 6134 marks · 18 questions · 2 sections
    • polar form and modulus-argument identities (3.1)
    • oblique asymptotes (3.2)
    • integral of f'(x)/f(x) (4.1)
    • slope field (4.2)
    • circular motion (3.3)
    • CI interpretation (4.3)
    • implicit differentiation and tangents (4.2)
    • line-plane angle and distance (3.3)
    • locus and extreme modulus/argument (3.1)
  7. Practice Exam 7134 marks · 18 questions · 2 sections
    • complex polynomial and factor theorem (3.1)
    • composite of graphs given as sketches (3.2)
    • volume about the x-axis (4.1)
    • increments formula (4.2)
    • sphere and line intersection (3.3)
    • systems of three equations and line of intersection (3.3)
    • simple harmonic motion (4.2)
    • CLT and confidence intervals for a mean (4.3)
  8. Practice Exam 8134 marks · 18 questions · 2 sections
    • regions bounded by Arg and modulus (3.1)
    • one-to-one restriction (3.2)
    • sin^2 and cos^2 integrals (4.1)
    • logistic growth with harvesting variant (4.2)
    • plane through three points (3.3)
    • implicit differentiation (4.2)
    • falling body with resistance and v dv/dx (4.2)
    • vector motion: speed, distance and angle (3.3)
    • confidence interval and sample size (4.3)
  9. Practice Exam 9134 marks · 18 questions · 2 sections
    • nth roots of a complex number (3.1)
    • rational function from features (3.2)
    • partial fractions and areas (4.1)
    • vector calculus in 3D path length (3.3)
    • distribution of X-bar probabilities (4.3)
    • integration by substitution (4.1)
    • reflection of a point in a plane (3.3)
    • reaction differential equation with partial fractions (4.2)
  10. Practice Exam 10134 marks · 18 questions · 2 sections
    • geometry of complex numbers as vectors (3.1)
    • inverse graph reflection (3.2)
    • substitution with exact limits (4.1)
    • rectilinear motion v dv/dx (4.2)
    • system with no unique solution (3.3)
    • equilateral triangles and squares by rotation (3.1)
    • inverse functions and integrals of inverses (3.2)
    • confidence interval for a mean (4.3)
  11. Practice Exam 11134 marks · 18 questions · 2 sections
    • de Moivre to derive a trigonometric identity (3.1)
    • absolute value graphs (3.2)
    • volume of a vessel to depth h (4.1)
    • related rates draining tank (4.2)
    • confidence interval from summary statistics (4.3)
    • Original practice paper: Section One Calculator-free (8 questions, 48 marks, 35%) and Section Two Calculator-assumed (10 questions, 86 marks, 65%)
  12. Practice Exam 12134 marks · 18 questions · 2 sections
    • loci |z - a| = k|z - b| (3.1)
    • composite function range (3.2)
    • Newton's-law-of-cooling style DE (4.2)
    • angle between line and plane (3.3)
    • numerical integration with technology (4.1)
    • Original practice paper: Section One Calculator-free (8 questions, 48 marks, 35%) and Section Two Calculator-assumed (10 questions, 86 marks, 65%)
  13. Practice Exam 13134 marks · 18 questions · 2 sections
    • polynomial with given complex roots (3.1)
    • rational functions with holes and asymptotes (3.2)
    • area between two curves (4.1)
    • SHM from a differential equation (4.2)
    • vector parametric ellipse (3.3)
    • Original practice paper: Section One Calculator-free (8 questions, 48 marks, 35%) and Section Two Calculator-assumed (10 questions, 86 marks, 65%)
  14. Practice Exam 14134 marks · 18 questions · 2 sections
    • roots of unity sum and product (3.1)
    • inverse of a rational function (3.2)
    • volume about the y-axis by shells-free disc method (4.1)
    • logistic model parameters (4.2)
    • sample mean and CLT simulation (4.3)
    • Original practice paper: Section One Calculator-free (8 questions, 48 marks, 35%) and Section Two Calculator-assumed (10 questions, 86 marks, 65%)
  15. Practice Exam 15134 marks · 18 questions · 2 sections
    • modulus-argument proof (3.1)
    • y = f(|x|) and y = |f(x)| together (3.2)
    • integration by substitution (4.1)
    • projectile with vectors and time of flight (3.3)
    • confidence level and width trade-off (4.3)
    • Original practice paper: Section One Calculator-free (8 questions, 48 marks, 35%) and Section Two Calculator-assumed (10 questions, 86 marks, 65%)
  16. Practice Exam 16134 marks · 18 questions · 2 sections
    • complex transformation sequences (3.1)
    • composite and inverse from a table (3.2)
    • volume of a torus-style solid (4.1)
    • slope field and particular solution (4.2)
    • two lines: intersect, parallel or skew (3.3)
    • loci and roots of a cubic (3.1)
    • logistic growth and simple harmonic motion (4.2)
    • distribution of the sample mean (4.3)
  17. Practice Exam 17134 marks · 18 questions · 2 sections
    • cube roots of a complex number (3.1)
    • reciprocal function sketch (3.2)
    • partial fractions with ln (4.1)
    • implicit differentiation tangent and second derivative (4.2)
    • vector proof with midpoints (3.3)
    • CI and claims about the mean (4.3)
    • loci as perpendicular bisectors (3.1)
    • Newton's law of cooling and related rates (4.2)
    • spheres and tangent planes (3.3)
  18. Practice Exam 18134 marks · 18 questions · 2 sections
    • Arg of differences and quadrilaterals in the plane (3.1)
    • rational function with oblique asymptote (3.2)
    • area with x = f(y) (4.1)
    • motion with resistance dv/dt = -g - kv (4.2)
    • sample size for given width (4.3)
    • de Moivre and multiple-angle identities (3.1)
    • lines meeting planes (3.3)
    • projectile motion and related rates (3.3, 4.2)
  19. Practice Exam 19134 marks · 18 questions · 2 sections
    • polar powers and quadrant of z^n (3.1)
    • one-to-one and inverse with restricted domain (3.2)
    • volume of a vase (4.1)
    • increments formula with a DE (4.2)
    • planes and systems with parameter k (3.3)
    • composite functions and their domains (3.2)
    • helical motion in three dimensions (3.3)
    • confidence intervals with known spread (4.3)
  20. Practice Exam 20134 marks · 18 questions · 2 sections
    • complex polynomial equation solving (3.1)
    • absolute value equation with infinite solutions (3.2)
    • trigonometric identity integrals (4.1)
    • kinematics in a plane: distance vs displacement (3.3)
    • distribution of X-bar and CI together (4.3)
    • conjugate roots of a real cubic (3.1)
    • rectilinear motion and harvested growth (4.2)
    • lines, regions and loci (3.1, 3.3)
Included in the WACE Mathematics Specialist Mastery Pack

20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.

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Mathematics Specialist · 20 practice exams