Year 6 · Mathematical Reasoning
Free Mathematical Reasoning practice paperBreezy Squirrel · No. 16
The free full paper · Free for 24 hours, 3 attempts · Needs your email and your child’s first name · No card. Start it
Matched to the real test, question by question.
35 multiple-choice questions in 40 minutes — the NSW Selective Test's published shape, sampling the same mix of number, patterns, measurement, geometry, and stats and probability as the Department of Education's three public sample papers.
Every paper is generated, sat, and hand-reviewed before it is published. If a question is wrong in timing, format, or difficulty, it is rewritten. If the paper does not feel like the real test, you have thirty days to say so and ask for a refund.
— Made and reviewed in Sydney.
What you get
- OnlineAn online test mode built to feel like the real test. Timed, with a flag button, zoom, and a side panel for diagrams. Three attempts over 24 hours, auto-scored with a weak-spot breakdown.
- PDFDownload the practice paper and answers without signing up. The separate answer PDF includes the correct answers and worked explanations. Download the free Mathematical Reasoning practice paper PDF →Download the answer key & worked explanations PDF →
- ReviewAfter each attempt, the review screen shows the correct answer and an explanation for every question.
- EmailA copy of your link, so you can come back to the online test while your 24 hours last.
Three questions from this paper
Pulled straight from this paper, options and all. The correct answers appear in the review screen after you sit it.
- Q1
A movie finishes at 12:35 (24-hour time). It ran for 5 hours 15 minutes. What time did it start (give your answer in 12-hour format)?
- Q2
A book has some pages. On the first day Rina reads 3/4 of the pages. On the second day she reads 1/3 of the remaining pages. She has 40 pages left to read. How many pages does the book have?
- Q3
At an arcade, a cup of 6 arcade tokens costs $6.75 and a single token costs $1.40. Arjun has $18. He buys as many cups of 6 as he can. Then, with the money left over, he buys two single tokens. How much money does Arjun have left at the end?