New Zealand · Year 7

NZ Curriculum Year 7 Mathematics free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper NZ Curriculum Year 7 Mathematics set, then download the 3-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

In which quadrant of the coordinate plane is the point (−3, 4)?

A the second quadrant

B the fourth quadrant

C the third quadrant

D the first quadrant

Worked answer

Correct answer: A — the second quadrant

  • Quadrants go anticlockwise from the top right: first (+, +), second (−, +), third (−, −), fourth (+, −).
  • (−3, 4) is in the second quadrant.
  • Why the other options are wrong:
  • B (the fourth quadrant): Check the signs of x and y: x is negative and y is positive.
  • C (the third quadrant): Check the signs of x and y: x is negative and y is positive.
  • D (the first quadrant): Check the signs of x and y: x is negative and y is positive.

Skill: Four quadrants

The signs of x and y tell you the quadrant.

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 7 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 3-page PDF; this page shows question 1 with its answer.

How many full NZ Curriculum Year 7 Mathematics papers are there?

20 original papers for New Zealand Year 7 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.