QCE General Mathematics free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper QCE General Mathematics set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
A least-squares line is fitted to the data (x: 1, 3, 10, 11, 13, 19; y: 13, 9, -15, -18, -23, -40).
Use it to predict y when x = 21, correct to one decimal place.
A -42.1
B -63.5
C -47.1
D 16.4
Correct answer: C — -47.1
- CAS linear regression: y = -3.025 x + 16.405.
- At x = 21: y = -3.025 × 21 + 16.405 = -47.1.
- Why the other options are wrong:
- A (-42.1): This is the correct answer (-47.1) plus 5: an extra 5 was added at the end of the calculation
(an off-by-5 error).
- B (-63.5): Add the intercept.
- D (16.4): That is the intercept (y when x = 0).
Fit the line y = a + bx on the CAS, then substitute the x-value; beware extrapolating far outside the data.
Your sample is downloading. Liked it? QCE General Mathematics Paper 1 is the full paper: a full practice examination with Section I 6 multiple-choice, Section II 33 marks, 39 marks in all, 5 minutes reading time and 90 minutes working time, with a worked solution for every question.
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Questions about this sample
What is in the QCE General Mathematics 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 4-page PDF; this page shows question 1 with its answer.
How many full QCE General Mathematics papers are there?
20 original papers for Queensland Year 12 students (QCE). Each is a full practice examination with Section I 6 multiple-choice, Section II 33 marks, 39 marks in all, 5 minutes reading time and 90 minutes working time, 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.