Australia · Year 5

NSW Year 5 Maths free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper NSW Year 5 Maths set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

Point P is at (2, 5) on a coordinate grid. It moves 3 units right and 3 units down. What are the coordinates of its new position?

A (5, 9)

B (2, 5)

C (5, 2)

D (6, 2)

Worked answer

Correct answer: C — (5, 2)

  • Right/left changes the first number (x); up/down changes the second number (y).
  • x: 2 + 3 = 5. y: 5 − 3 = 2.
  • New position: (5, 2).
  • Why the other options are wrong:
  • A ((5, 9)): Check the direction: 'up' increases y, 'down' decreases y.
  • B ((2, 5)): The first number is the horizontal (x) distance, the second is the vertical (y).
  • D ((6, 2)): Check the direction: 'left' decreases x, 'right' increases x.

Coordinates are (across, up): left/right changes the first number, up/down changes the second.

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

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Questions about this sample

What is in the NSW Year 5 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 5 Maths papers are there?

20 original papers for Year 5 students following the NSW syllabus. Each is 30 multiple-choice questions in 35 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.