Australia · Year 9 entry

HAST Year 9 Mathematical Reasoning free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper HAST Year 9 Mathematical Reasoning set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

What is 12.4 - 5.5?

A 6.9

B 69

C 7

D 0.69

Worked answer

Correct answer: A — 6.9

  • Line up the decimal points (for + and -).
  • Calculate carefully: 6.9.
  • Why the other options are wrong:
  • B (69): Check the decimal places.
  • C (7): This value does not result from a valid step in the working above, which reaches 6.9. It usually comes from using the wrong formula, the wrong quantity or a unit that was not converted. The correct method starts: Line up the decimal points (for + and -).
  • D (0.69): Check the decimal places.

Decimals: line up the points to add or subtract; count decimal places when multiplying.

Download the free sample: 3 questions and answers (PDF)

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Questions about this sample

What is in the HAST Year 9 Mathematical Reasoning free sample?

The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.

How many full HAST Year 9 Mathematical Reasoning papers are there?

20 original papers for students preparing for Year 9 entry (HAST (High Achievers Selection Test)). Each is 35 multiple-choice questions in 40 minutes (4 options each, no calculator), with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.

Are these official past papers?

No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.