Mathematical Reasoning
35 questions · 40 minutes
Download questions (PDF)Download answers & explanations (PDF)21-page question PDF
Sit this paper online — free for 24 hours (email needed) →Guides · Selective Test
Our free practice papers and the government sample papers, with direct links to the questions, answer keys and explanations. No sign-up required.
From Selective Papers NSW
These are our original practice papers, separate from the Department’s sample tests further down. Download each question paper and its matching answer key with worked explanations. No signup required.
35 questions · 40 minutes
Download questions (PDF)Download answers & explanations (PDF)21-page question PDF
Sit this paper online — free for 24 hours (email needed) →38 answers across 5 parts · 45 minutes
Download questions (PDF)Download answers & explanations (PDF)15-page question PDF
Sit this paper online — free for 24 hours (email needed) →NSW Department of Education
These are the Department’s three numbered sample tests, from an older paper-based format. The current test is computer-based; the online options below help you get familiar with it.
PDFs open directly from the government website in a new tab; use your browser’s download button to save them. Source and terms of use: Department practice tests. Links checked 8 September 2026.
A printed paper is useful for working through a tricky question together. For a practice sitting, we recommend a computer: your child can get used to the timer, question grid and flag controls as well as the questions. Start with the free official samples.


Our questions are our own. Selective Papers NSW is independent and is not affiliated with the Department of Education or Janison. See our guide to the computer-based test →
The Department labels these downloads as sample practice tests 1, 2 and 3. They come from older paper-based versions of the test. We keep those labels rather than describe them as papers from a particular exam year.
Each official Reading, Mathematical Reasoning and Thinking Skills row has separate links for the answer key and explanations. Writing has a prompt only. Our original Maths and Reading papers also have free downloadable answer keys with worked explanations, linked beside each question PDF.
Yes. The official links open PDFs on the government website. Our original question papers and matching answer PDFs download directly from this site without an account. You can also try ten interactive questions in each subject without signing up.
Use PDFs to explore questions and discuss the reasoning at your own pace. Use online practice to rehearse reading on screen and navigating between questions. Start with the free government online samples, then choose additional practice if it is useful for your child.