Australia · Year 7

NSW Year 7 Maths free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper NSW Year 7 Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

What is the mode of this data set: 30, 26, 35, 24, 28, 35, 33, 23, 35, 29, 35, 35, 27, 34?

A 30

B 33

C 35

D 12

Worked answer

Correct answer: C — 35

  • The mode is the value that occurs most often.
  • Count each value: 35 appears 5 times, more than any other.
  • Mode = 35.
  • Why the other options are wrong:
  • A (30): That is (close to) the mean.
  • B (33): That is the median, not the mode.
  • D (12): That is the range.

The mode is the most frequent value (there can be more than one, or none).

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

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Questions about this sample

What is in the NSW Year 7 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 7 Maths papers are there?

20 original papers for Year 7 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.