Assessment and exam practice.

Try this with Specialist Mathematics

1. Check the task format, time limit and permitted materials with your school.
2. Start with one timed section or task and record where you spent the most time.
3. Review errors before attempting another section. Separate missing knowledge from timing problems.

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Practice paper focus areas

• Exam 1 — Induction proof of a divisibility result; Fifth roots of a complex number in exact rcis form; Rational function with an oblique asymptote
• Exam 2 — Induction proof for a closed form of a finite sum; Repeated multiplication by a complex number as dilation and rotation; Inverse of a restricted cubic sketched on supplied axes
• Exam 3 — Induction proof of an nth derivative pattern; Circle and ray loci intersecting in the Argand plane; Domain of a square-root composition
• Exam 4 — De Moivre's theorem proved by induction; Real quadratic factor built from a given complex zero; Absolute-value composition sketched from a given cubic
• Exam 5 — Induction proof for a product formula; Roots of unity summing to zero and a regular polygon; Reciprocal of a quadratic and its vertical asymptotes
• Exam 6 — Induction proof for a sum of cubes; Triangle inequality applied to a sum of complex numbers; Derivative of an inverse found by implicit differentiation
• Exam 7 — Induction proof for a telescoping sum; Solving z^n = c and plotting the solution set; Rational function with a removable discontinuity
• Exam 8 — Induction proof of divisibility by 7; Division in polar form and the resulting rotation; Reciprocal of a trigonometric function sketched over one period
• Exam 9 — Induction step written correctly in P(k) and P(k+1) notation; Region bounded by a modulus inequality and an argument inequality; Composite of an absolute value with a rational function
• Exam 10 — Induction proof for a sum of odd squares; Remainder theorem used to find two unknown coefficients; Horizontal line test and a restricted inverse
• Exam 11 — Induction applied to a trigonometric power identity; Cube roots of a complex number and the triangle they form; Sketching y = 1/f(x) from a supplied graph of f
• Exam 12 — Induction proof for a sum of a quadratic series; Conjugate root theorem applied to a real quartic; Rational function with a cubic numerator
• Exam 13 — Induction proof for a geometric-type sum; Perpendicular bisector written as an equation in z; Domain of a composition involving a reciprocal
• Exam 14 — Induction proof of a derivative pattern for a trigonometric function; Multiplication by i as an anticlockwise right-angle rotation; Inverse of a restricted sine function with its exact domain
• Exam 15 — Induction proof of divisibility by 9; Sixth roots of unity and the area of the regular hexagon; Sketching y = f(|x|) and y = |f(x)| from one graph
• Exam 16 — Induction proof for a sum involving alternating signs; Product of two complex numbers written in polar form; Rational function crossing its horizontal asymptote
• Exam 17 — Induction proof for the nth derivative of a linear-exponential product; Quartic solved from one supplied complex zero; Composition defined only on a restricted interval
• Exam 18 — Induction proof for a sum of consecutive integers squared; Family of circles written in terms of z and n; Inverse of a rational function and its asymptotes
• Exam 19 — Induction proof of divisibility by 6; Fifth roots of a complex number and a quadrilateral area; Reciprocal of an absolute-value function
• Exam 20 — Induction proof for a sum involving powers of 2; Ray from a point meeting a circle in the Argand plane; Rational function with a repeated linear factor in the denominator