QCE Mathematical Methods free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper QCE Mathematical Methods set, then download the 3-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
The value of 2log3(27) - log3(3) is
A 5
B 243
C 7
D 2
Correct answer: A — 5
- log3(27) = 3 and log3(3) = 1.
- 2(3) - 1 = 5.
- Why the other options are wrong:
- B (243): That is the number whose log is the answer; the answer is the log value itself.
- C (7): Subtract the second logarithm.
- D (2): The coefficient 2 multiplies log3(27) = 3.
Evaluate each logarithm as a power of the base, then combine.
Your sample is downloading. Liked it? QCE Mathematical Methods Paper 1 is the full paper: 2 practice papers (technology-free and technology-active), each with 10 multiple-choice questions plus short response, 55 marks each, with a worked solution for every question.
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Questions about this sample
What is in the QCE Mathematical Methods free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 3-page PDF; this page shows question 1 with its answer.
How many full QCE Mathematical Methods papers are there?
20 original papers for Queensland Year 12 students (QCE). Each is 2 practice papers (technology-free and technology-active), each with 10 multiple-choice questions plus short response, 55 marks each, with a worked solution for every question. Papers start at A$15.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.