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Resources & Past exams

NCEA Level 1

Year 11

Mathematics and Statistics

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Internal

Explore data using a statistical inquiry process

5 credits

AS 91944

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Where do I start?

For 1.1, you will complete a statistical investigation on a topic of your choosing, and write a report on it. Your topic should be something you find interesting or useful.
 

Before you get started writing the report, you need to have done three things (your teacher can help you with these!):

  • Choose a topic;

  • Choose which of the 4 types of investigation you'll do (see below); and

  • Find some data on your topic (or collect some yourself).

​

After this, you are ready to write the report. Select the correct template below (depending on which of the 4 types of investigation you are doing) and get started.​

1.1 STUDENT TEMPLATES

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1.

Comparison Investigation

(Box & Whisker Plot)

An investigation into how a numerical variable compares between two different groups.

Example - Investigating whether males or females spend more money on their phone plan each month.

2.

Relationship Investigation

(Scatter Plot)

An investigation into the relationship between two numerical variables.

Example - Investigating the relationship between the height (cm) and weight (kg) of players in the NBA.

3.

Time Series Investigation

(Line Graph)

An investigation into how a numerical variable changes over time.

Example - Investigating how the numbers of Tesla cars in New Zealand change over time.

4.

Experimental Probability Investigation

(Histogram & Two-way table)

An investigation into the number of times an event will occur over a period of time.

Example - Investigating how many times in a week a restaurant runs out of noodles, based on past results.

Unfortunately, we have not written a template for this type of investigation.

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1.1 Exemplars

Comparison Investigation

(Box & Whisker Plot)

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Relationship Investigation

(Scatter Plot)

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Time Series Investigation

(Line Graph)

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Experimental Probability Investigation

(Histogram & Two-way table)

Unfortunately, we have not yet written an exemplar for this type of investigation.

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Internal

Use mathematical methods to explore problems that relate to life in Aotearoa New Zealand or the Pacific

5 credits

AS 91945

Where do I start?

1.2 SELF-EVALUATION

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Use our self-evaluation to check what level you're currently working at.

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This document is a 'checklist' of all the Mathematical skills and concepts students need to have a grasp on for the 1.2 internal, complete with example questions.

Updated for 2026.

After that...

1.2 Practice Tests

These two practice tests for 1.2 have been developed by NCEA Education. Unfortunately, they have not made the solutions available.

Note:  At Trajectory, we have many more practice tests (with solutions) for 1.2 which, unfortunately, we cannot publish on our website due to copyright. If you are a student of ours and would like access to these, please get in touch and we'll happily provide them.

'The local playground'

Answers unavailable

'The local community garden'

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External

Interpret and apply mathematical and statistical information in context

5 credits

AS 91946

Official past exams

2025: Exam paper | Resource Booklet

2025 (Sample assessment): Exam paper | Resource Booklet | Answers

Note: The 2024 paper is unavailable as it has been withheld by NZQA.

2023: Exam paper | Resource Booklet | Answers

Note: The 2023 exam paper is partly redacted by NZQA due to copyright.​

Looking for hard-copy resources for 1.3?

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External

Demonstrate mathematical reasoning

5 credits

AS 91947

Official past exams

2025: Exam paper | Formula Sheet

2024: Exam paper | Formula Sheet | Answers

2023: Exam paper | Formula Sheet | Answers

Unofficial practice exams (Jamie Sneddon)

Note:  These practice papers were not developed by NZQA, but by NZ Maths teacher Jamie Sneddon. Still great practice tools, but official past exams should be your first starting point.

Practice #1: Exam paper | Formula Sheet | Answers

Practice #2: Exam paper | Formula Sheet | Answers

Practice #3: Exam paper | Formula Sheet | Answers

Practice #4: Exam paper | Formula Sheet | Answers

Practice #5: Exam paper | Formula Sheet | Answers

Looking for hard-copy resources for 1.4?

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