New Zealand · Year 6

NZ Curriculum Year 6 Mathematics free practice questions with answers

Read the opening questions and their worked answers from paper 1 of our 20-paper NZ Curriculum Year 6 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 6 Mathematics free sample: the opening questions
The opening questions of paper 1
NZ Curriculum Year 6 Mathematics free sample: the worked answer
The worked answer
What this sample covers
  • The tallest bar shows the most common category.
  • Choose the unit that gives a sensible number for the size of the thing being measured.
  • Translation = slide, reflection = flip, rotation = turn.
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. The graph shows the favourite sport of students in a class. Which sport is the most popular? 0 5 10 15 20 25 Hocke Rugby Swimm Tenni Gymna Favourite sport

A Hockey

B Swimming

C Rugby

D Tennis

2. Which unit is best for measuring the mass of a paperclip?

A mg

B g

C t

D kg

3. The letter b becomes the letter d when it is flipped over a vertical line. Which transformation is this?

A enlargement

B rotation

C reflection

D translation

Worked answers

1. The graph shows the favourite sport of students in a class. Which sport is the most popular? [Bar graphs]

0 5 10 15 20 25 Hocke Rugby Swimm Tenni Gymna Favourite sport

Correct answer: D — Tennis

• The tallest bar shows the most popular choice.

• Tennis has the tallest bar (21).

• Why the other options are wrong:

• A (Hockey): That bar is not the tallest.

• B (Swimming): That bar is not the tallest.

• C (Rugby): That bar is not the tallest. Skill: Bar graphs

2. Which unit is best for measuring the mass of a paperclip? [Choosing units]

Correct answer: B — g

• Think about the size of what you are measuring.

• The best unit is g.

• Why the other options are wrong:

• A (mg): That unit is much too small for this measurement.

• C (t): That unit is much too large for this measurement.

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

3. The letter b becomes the letter d when it is flipped over a vertical line. Which transformation is this? [Transformations]

Correct answer: C — reflection

• Think about what happens to the shape: sliding is a translation, flipping is a reflection, turning is a rotation.

• This is a reflection.

• Why the other options are wrong:

• A (enlargement): That is not what happens: enlargement means making the shape bigger or smaller.

• B (rotation): That is not what happens: rotation means turning about a point.

• D (translation): That is not what happens: translation means sliding. Skill: Transformations

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

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Questions about this sample

What is in the NZ Curriculum Year 6 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 6 Mathematics papers are there?

20 original papers for New Zealand Year 6 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.