Australia · Year 9 entry

EduTest Year 9 Numerical Reasoning free practice questions with answers

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

Question 1

45 is to 9 as 55 is to ____ .

A 11

B 13

C 19

D 12

E 10

Worked answer

Correct answer: A — 11

  • Compare 45 and 9: 45 ÷ 5 = 9.
  • The rule is ÷5.
  • 55 ÷ 5 = 11.
  • Why the other options are wrong:
  • B (13): Divide by exactly 5.
  • C (19): The first pair divides; the gap isn't fixed.
  • D (12): This is the correct answer (11) plus 1: an extra 1 was added at the end of the calculation (an off-by-1 error).
  • E (10): This is the correct answer (11) minus 1: 1 was taken off at the end of the calculation (an off-by-1 error).

A pair can shrink by a fixed factor: look for division as well as subtraction.

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

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Questions about this sample

What is in the EduTest Year 9 Numerical 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 EduTest Year 9 Numerical Reasoning papers are there?

20 original papers for students preparing for Year 9 entry (EduTest). Each is 50 multiple-choice questions in 30 minutes (5 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.