New Zealand · Year 5

NZ Curriculum Year 5 Mathematics free practice questions with answers

Read the opening questions and their worked answers from paper 1 of our 20-paper NZ Curriculum Year 5 Mathematics set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

NZ Curriculum Year 5 Mathematics free sample: the opening questions
The opening questions of paper 1
NZ Curriculum Year 5 Mathematics free sample: the worked answer
The worked answer
What this sample covers
  • The most common value in a dot plot has the most dots.
  • A regular polygon with n sides has n lines of symmetry.
  • Choose the unit that gives a sensible number for the size of the thing being measured.
Read the text of this sample
Questions

MATHEMATICS AND STATISTICS — 30 QUESTIONS Multiple choice · 40 minutes Work through the questions in order, but do not spend too long on any one. Mark your best answer for every question, then check your work against the worked solutions.

1. Ethan asked the students in the class how many pets they have. What is the most common number of pets? Pets per student 0 1 2 3 4 5 6 7 8 Number of pets Each dot is one student in Ethan's class.

A 4

B 6

C 7

D 3

2. How many lines of symmetry does a regular triangle have?

A 2

B 6

C 1

D 3

3. Which unit is best for measuring the distance a plane flies?

A km

B m

C mm

D cm

Worked answers

1. Ethan asked the students in the class how many pets they have. What is the most common number of pets? [Dot plots]

Pets per student 0 1 2 3 4 5 6 7 8 Number of pets Each dot is one student in Ethan's class.

Correct answer: D — 3

• The most common value has the tallest stack of dots.

• The tallest stack is at 3 pets.

• Why the other options are wrong:

• A (4): That value has fewer dots.

• B (6): That is how many students have it, not the number of pets.

• C (7): That is the largest number of pets, not the most common. Skill: Dot plots

2. How many lines of symmetry does a regular triangle have? [Symmetry]

Correct answer: D — 3

• A regular polygon has one line of symmetry through each vertex or side.

• A regular triangle has 3 lines of symmetry.

• Why the other options are wrong:

• A (2): Missed one line of symmetry.

• B (6): Counted each line twice.

• C (1): A regular polygon has more than one line of symmetry. Skill: Symmetry

3. Which unit is best for measuring the distance a plane flies? [Choosing units]

Correct answer: A — km

• Think about the size of what you are measuring.

• The best unit is km.

• Why the other options are wrong:

• B (m): That unit is much too small for this measurement.

• C (mm): That unit is much too small for this measurement.

• D (cm): That unit is much too small for this measurement. Skill: Choosing units

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

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Questions about this sample

What is in the NZ Curriculum Year 5 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 the opening pages.

How many full NZ Curriculum Year 5 Mathematics papers are there?

20 original papers for New Zealand Year 5 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.