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Mathematical Methods

Calculus, functions and statistics for Units 1 to 4, written with the external exam in mind.

Slope field for dy/dx = cos x Short line segments show the gradient cos x at points across the plane. The solution curve y = sin x follows them, and its tangent at x = π/3 is drawn in orange. x y
Slope field for \(\frac{dy}{dx} = \cos x\). The solution \(y = \sin x\) follows it, with its tangent at \(x = \frac{\pi}{3}\).
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Unit 3

Differential calculus

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Chain rule practice set

Unit 3 · Differential calculus · Worksheet

Twelve calculator-free questions with full worked solutions.

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Units 3–4

External exam

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Every past QCAA complex unfamiliar question, 2020–2025

Units 3–4 · External exam · Interactive

All 26 complex unfamiliar questions from the 2020–2025 external exams, each with an interactive visualisation and the marking guide one mark at a time.

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Units 1–2

Complex unfamiliar questions

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Units 1 and 2 complex unfamiliar questions

Units 1–2 · Complex unfamiliar questions · Interactive

Two complex unfamiliar questions for every topic in Units 1 and 2, each with an animation, an interactive and the marking guide one step at a time.

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