Australia · Year 4

NSW OC Mathematical Reasoning free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper NSW OC 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 number is the dot showing on this number line? (The line goes from 4000 to 5000 and is marked in equal steps.)

4000

5000

A 4250

B 4300

C 4350

D 600

E 4600

Worked answer

Correct answer: B — 4300

  • The line from 4000 to 5000 is split into 20 equal steps, so each step is (5000 - 4000) ÷ 20 = 50.
  • The dot is 6 steps from 4000, so it shows 4000 + 6 × 50 = 4300.
  • Why the other options are wrong:
  • A (4250): This is the previous mark: count the steps again from the left.
  • C (4350): This is the next mark: count the steps again from the left.
  • D (600): This counts the steps in hundreds instead of working out the size of one step.
  • E (4600): This reads the steps as tenths of the whole line, but there are 20 equal steps.

Work out the size of ONE step first (distance ÷ number of steps), then count steps from a known mark.

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

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Questions about this sample

What is in the NSW OC 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 NSW OC Mathematical Reasoning papers are there?

20 original papers for Year 4 students preparing for NSW Opportunity Class entry. Each is 35 multiple-choice questions in 40 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.