New Zealand · Year 10

NZ Curriculum Year 10 Mathematics free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper NZ Curriculum Year 10 Mathematics set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

Expand 3x(x − 2).

A 3x − 6x

B 3x² + 6x

C 3x² − 6x

D 3x² − 2

Worked answer

Correct answer: C — 3x² − 6x

  • Multiply every term inside the bracket by the term outside.
  • 3x(x − 2) = 3x² − 6x.
  • Why the other options are wrong:
  • A (3x − 6x): Multiplied x by x and got x, not x².
  • B (3x² + 6x): Used the wrong sign.
  • D (3x² − 2): Did not multiply the second term by 3x.

Skill: Expanding brackets

Expanding: multiply each term in the bracket by the term outside.

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

More free NZ Curriculum (Years 1 to 10) samples

Questions about this sample

What is in the NZ Curriculum Year 10 Mathematics 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 NZ Curriculum Year 10 Mathematics papers are there?

20 original papers for New Zealand Year 10 students following the NZ Curriculum. Each is 30 multiple-choice questions (A to D) across number, algebra, measurement, geometry, statistics and probability, aligned to the refreshed NZ Curriculum, with a worked solution and a reason each wrong option is wrong, 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.