Australia · Year 8

NSW Year 8 Maths free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper NSW Year 8 Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

Simplify 9b + 7x − 3b + 8x.

A 21bx

B 12b + 15x

C 6b − x

D 6b + 15x

Worked answer

Correct answer: D — 6b + 15x

  • Collect like terms: the b terms are 9b and −3b; the x terms are 7x and 8x.
  • b: 6.
  • Answer: 6b + 15x.
  • Why the other options are wrong:
  • A (21bx): Unlike terms were combined.
  • B (12b + 15x): The sign of the second x term was ignored.
  • C (6b − x): The y terms were subtracted.

Only like terms can be added or subtracted: add their coefficients and keep the variable.

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

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Questions about this sample

What is in the NSW Year 8 Maths 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 Year 8 Maths papers are there?

20 original papers for Year 8 students following the NSW syllabus. Each is 30 multiple-choice questions in 45 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.