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Year 6 · Mathematical Reasoning

Sunny PandaNo. 22

35questions40minutesmultiple choice

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. Unlimited attempts with a pass, 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.

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.

  1. Q1

    Two warning lights flash at the same moment. One light then flashes every 5 seconds and the other every 4 seconds. After how many seconds will they next flash at the same time?

    1. A40 seconds
    2. B9 seconds
    3. C20 seconds
    4. D5 seconds
    5. E10 seconds
  2. Q2

    A bag contains 4 red, 2 blue and 6 yellow counters and nothing else. One counter is drawn at random. What is the probability that it is NOT blue?

    1. A5/12
    2. B5/6
    3. C1/2
    4. D1/6
    5. E1/3
  3. Q3

    An empty paddling pool can be filled by a pump alone in 6 hours or by a hose alone in 12 hours. The pump is turned on first. After 3 hours, the hose is turned on as well. After another 1 hour, the paddling pool springs a leak: on its own, that leak would empty a full paddling pool in 6 hours. Water keeps running out while both keep filling. How many hours after the pump was turned on is the paddling pool full?

    1. A13 hours
    2. B16 hours
    3. C8 hours
    4. D7 hours
    5. E9 hours
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