№ 30006 · Year 6 · Mathematical Reasoning
Practice Paper 30006
Calibration
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 at each paper, auto-scored with a weak-spot breakdown.
- ReviewAfter each attempt, the review screen shows the correct answer and an explanation for every question.
- EmailA copy of your link, so you can return to the online test at any time.
Preview
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
Two runners start together on a circular running track. One runner completes a lap every 10 seconds and the other every 6 seconds. After how many seconds will they next be together at the starting line?
- Q2
The probability of the red light showing is 3/8. The probability of the alarm sounding is 1/3. These two events are independent. What is the probability that NEITHER event occurs?
- Q3
Pipe P, Pipe Q and Pipe R need to fill one pool together. Working alone, Pipe P could finish it in 4 hours, Pipe Q in 6 hours, and Pipe R in 12 hours. They all start at the same time. After 1 hour, Pipe P stops. 1 hour after that, Pipe Q stops. Pipe R keeps working alone until the pool is finished. How many hours does the whole job take?