QCE Maths Methods Paper 2

Paper 2 is the technology-active paper: short response and multiple choice questions on Units 3 and 4, with 5 minutes of perusal and 90 minutes of working time. You may use a QCAA-approved graphics calculator without CAS and/or a QCAA-approved scientific calculator, but no notes. The formula book is provided, and the paper is worth 25%.

External assessment	One examination worth 50%, set and marked by the QCAA
Paper 1	Technology-free, 25%: short response and multiple choice
Paper 2	Technology-active, 25%: short response and multiple choice
Time	5 minutes perusal and 90 minutes working time for each paper; the formula book is provided
Internal assessment	Set by your school: a modelling task 20%, two short response examinations 15% each

Use the calculator for what it does well

Normal and binomial probabilities, quantiles and confidence intervals.
Solving equations you cannot solve by hand, and finding intersections and stationary points from a graph.
Evaluating definite integrals numerically, after you have written the integral the question needs.

Show the method, not only the answer

Write the setup a calculator answer comes from: the distribution and its parameters, the equation solved, the integral and its limits.
State the accuracy of a decimal answer, and use unrounded values in later parts unless told otherwise.
Read the context for units, the domain and what a probability or an interval means.

Try 3 questions

Paper 2 · Multiple choice · 1 mark · Calculus of exponential and logarithmic functions
The table shows values of $\dfrac{a^{h} - 1}{h}$ for $h = 0.0001$ , correct to four decimal places. $\begin{array}{c|cccc} a & 2.5 & 2.7 & 2.8 & 3.0 \\ \hline \dfrac{a^{h} - 1}{h} & 0.9163 & 0.9933 & 1.0297 & 1.0987 \end{array}$ Based on the table, which interval contains the value of $a$ for which $\displaystyle\lim_{h \to 0} \dfrac{a^{h} - 1}{h} = 1$ ?
Answer it, every step marked
Paper 2 · Short response · 10 marks · Calculus of exponential and logarithmic functions
After a dose of a medicine, its concentration in a patient's blood is modelled by $C(t) = 20\left(e^{-0.1 t} - e^{-0.3 t}\right)$ milligrams per litre, where $t$ is the time in hours after the dose, $t \geq 0$ .
Answer it, every step marked
Paper 2 · Multiple choice · 1 mark · Calculus of exponential and logarithmic functions
The number of bacteria in a culture $t$ hours after it is set up is modelled by $P(t) = 200 e^{0.3 t}$ . Take $\ln(5) = 1.6094$ and $\ln(1.5) = 0.4055$ . After how many hours, correct to two decimal places, is the number of bacteria increasing at $300$ bacteria per hour?
Answer it, every step marked

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Questions people ask

Which calculator can I use in Paper 2?

A handheld QCAA-approved graphics calculator with no CAS functionality and/or a handheld QCAA-approved scientific calculator. No notes are allowed; the formula book is provided.

Is Paper 2 all calculator questions?

It is technology-active, so a calculator is allowed throughout, but many parts still need working by hand. It has short response and multiple choice questions.

How is our timed Paper 2 set out?

Our timed Paper 2 has 10 multiple choice questions and about 50 marks of short response in 90 minutes, all technology-active. That is our practice structure, not the QCAA's.