QCE Maths Methods EA preparation: The 2026 guide

What this guide is for

QCE Maths Methods EA is 50 percent of the subject result. The two-paper structure (technology-free Paper 1, technology-active Paper 2) tests both by-hand fluency and calculator-assisted problem solving. This guide covers both, with a six-week preparation routine.

Paper 1: technology-free

90 minutes plus 5 minutes perusal. 55 marks (Section 1 multiple-choice for 10 marks, Section 2 short response for 45 marks).

No calculator of any kind (QCAA supplies the formula book). Pencil-and-paper algebra and calculus.

Tests:

• By-hand differentiation (chain, product, quotient rules).
• Antidifferentiation (standard antiderivatives, reverse-chain factor).
• Definite integrals at standard limits.
• Solving equations algebraically.
• Exact values at standard trig angles.

Paper 2: technology-active

90 minutes plus 5 minutes perusal. 55 marks.

Calculators allowed: a handheld QCAA-approved graphics calculator with no CAS functionality and/or a QCAA-approved scientific calculator (maximum two approved calculators, memory cleared). A CAS-capable model such as the TI-Nspire CX II CAS is accepted only in the locked test mode QCAA's list names for it ('Press to Test' with CAS blocked), and many CAS models, including Casio ClassPad, are not permitted. Check QCAA's graphics calculator list and equipment list for the current year.

Tests:

• Modelling problems (optimisation, accumulation).
• Probability and statistics (binomial, normal, confidence intervals).
• Calculator-assisted differentiation/integration of complex functions.
• Solving transcendental equations numerically.

Key calculation types

Paper 1 priorities

Differentiation by hand

Master chain, product, quotient rules in combination. Standard derivatives of $e^{kx}$, $\ln x$, $\sin(kx)$, $\cos(kx)$.

Antidifferentiation

Standard antiderivatives. The $1/k$ factor for $\sin(kx)$, $\cos(kx)$, $e^{kx}$. Constant of integration $C$.

Exact trig values

$\sin(\pi/6) = 1/2$, etc. Use in definite integrals.

Algebraic manipulation

Index laws, log laws, factorisation.

Paper 2 priorities

Graphics calculator functions (non-CAS)

Graphing with intersection, minimum and maximum tools, the numerical integral, tables, binompdf, binomcdf, normcdf and invnorm. Names and argument order vary by model, so practise on yours. Do algebra (solving, factorising, differentiating) by hand.

Reading the question carefully

Modelling problems require setting up the right equation; the calculator handles numbers but you must set up what to compute.

Significant figures

3 sig fig unless specified.

Units

Always include.

Marking criteria

QCAA awards method marks for correct setup, even if arithmetic slips.

Always:

1. State the principle / formula.
2. Substitute values with units.
3. Calculate.
4. Final answer with units and sig fig.

Six-week preparation routine

Weeks 1-2

Key knowledge review. Use QCAA Syllabus as checklist.

Weeks 3-4

Paper 1 by-hand drills. Differentiation, antidifferentiation, exact trig values.

Week 5

Paper 2 graphics calculator drills. Set up modelling problems, then use graphs, tables and distribution functions to solve.

Week 6

Full timed past papers (both Paper 1 and Paper 2). Mark against assessor's reports.

Common student errors

$1/k$ factor in trig antiderivatives

$\int \sin(2x) \, dx = -\frac{1}{2} \cos(2x) + C$, not $-\cos(2x)$.

Chain rule signs

$\frac{d}{dx}(\sin(2x)) = 2 \cos(2x)$; $\frac{d}{dx}(\cos(2x)) = -2 \sin(2x)$.

Log domain check

$\log(x + 5) = 2$ has solution $x = 95$; check $x + 5 > 0$.

Significant figures

3 sig fig unless told otherwise.

Catastrophic error compounding

If a result is nonsensical (negative probability, etc.), recheck.