Year 8Term 4 2026

HAST Middle Secondary — Mathematical Reasoning

ACER HAST Mathematical Reasoning for Years 8 and 9 — the Middle Secondary level, sat for Year 9 and Year 10 entry. 40 minutes, four options, no calculator. Test craft, then the reasoning skills the paper actually uses, then a full practice paper.

20 interactive lessons · 21 exercise sets · free to read, no account needed

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  1. 1

    Reading the Question: and, or, not, only

  2. 2

    Multiple-Choice Under Time Pressure

  3. 3

    Classifying and Sorting

  4. 4

    Must, Could and Cannot

  5. 5

    Parity and Divisibility Arguments

  6. 6

    Finding the Rule

  7. 7

    Rates, and Reading a Scale

  8. 8

    Time, Duration and Crossing Midnight

  9. 9

    Smallest Sufficient, Largest Possible

  10. 10

    Direction, Distance and Displacement

  11. 11

    Reading Data You Have Never Seen

  12. 12

    Proportion and Scaling Without a Calculator

  13. 13

    Working Backwards from the Options

  14. 14

    Probability and Counting Arrangements

  15. 15

    Worst Case and the Pigeonhole Principle

  16. 16

    Cycles and Repeating Schedules

  17. 17

    Estimating to an Order of Magnitude

  18. 18

    Scatterplots, Correlation and Inference

  19. 19

    Reading an Experiment

  20. 20

    Working a Stimulus Block

  21. 21

    Full Practice Paper

    🧩 Lesson🎬 Video📝 Quiz