Mathematics Puzzle Books
Y9 Mathematics
Puzzle Book - 1
Māori legends and traditions are used as a foundation of this book and we hope that this will increase the interest and engagement of both Māori and non-Māori students in learning mathematics. At the same time, students will have an opportunity to learn more about the unique legends and traditions of the first Māori settlers as well as stories related to Māori place names.
You are invited to embark on the waka called “Y9 Mathematics Puzzle Book.” Like Kupe, who gave directions to Turi to sail to Aotearoa, we are giving you directions to sail, discover and explore the beauty of mathematics and the unique and rich Māori traditions and tribal legends. If you are a Māori student, this book is your opportunity feel proud of being Māori while you are learning mathematics. If you are a non- Māori student, this is your chance to learn many fascinating facts about Māori people while you are learning mathematics.
The book is designed for NZ curriculum and contains the following chapters: 1. Whole Numbers; 2. Integers; 3. Fractions; 4. Decimals; 5. Percentages; 6. Ratios and Proportions; 7. Algebra 1 – Expressions, Simplification, Expanding and Factorisation; 8. Algebra 2 – Linear Equations and Patterns; 9. Bearings, Co-ordinates and Graphs.
Y9 Mathematics
Puzzle Book - 2
This book completes the first part of a ‘Y9 Mathematics Puzzle Book 1 Based on Māori Legends and Traditions".
We had very positive feedback from many schools that this book increased interest and engagement of Māori and non-Māori students in learning mathematics.
You are invited to embark and sail the smaller waka called “Y9 Mathematic Puzzle Book 2” to complete your journey and get ready to explore the beauty of mathematics and the unique and rich Māori traditions and tribal legends. You are the captain and the navigator of the waka and mathematics is your hiwa (steering paddle). It is pungawere (the season of favourable winds) now. It is time to start your journey and trace the path of the first waka tīpuna (canoe ancestors) who followed the stars from Hawaiki to Aotearoa.
The book is designed for NZ curriculum and contains the following chapters: 10. Angle Properties; 11. Measurement; 12. Rates; 13. Probability; 14. Statistics; 15. Transformations; 16. Constructions.
Senior Mathematics with Māori Kōrero Pūrākau
Level 2 Calculus
This is our third puzzle book with Māori Kōrero Pūrākau incorporated in high school Mathematics.
This puzzle book:
- covers all the essential skills that students need to know for Level 2 Calculus Methods
- covers skills required for achieved, merit and excellence type questions
- has worked examples
- is designed to give students lots of practice on similar questions.
The puzzle book can be used as a:
- supplement learning workbook
- prep-book
- revision workbook for external assessments.
The puzzles in this book trigger students’ curiosity, make learning fun and give them an understanding of the reach Māori Kōrero Pūrākau. The repetitive nature of questions in each puzzle gives students an opportunity to master essential skills and gain confidence.
Senior Mathematics with Māori Kōrero Pūrākau
Level 1 Algebra
This is our fourth puzzle book with Māori Kōrero Pūrākau incorporated into high school Mathematics.
This puzzle book:
- covers all the essential skills that students need to know for Level 1 Algebraic Methods
- provides enough of write on space for students and covers skills required for achievement, merit and excellence type questions
- will trigger students’ curiosity, makes learning fun and gives students an understanding of the reach Māori kōrero pūrākau.
- has worked examples
- capital letters have been introduced into question reference numbers to indicate the level of difficulty of a problem:
M indicates that the problem is at merit level
E indicates that the problem is at least at merit or excellence level
The puzzle book can be used as a:
- supplement learning workbook
- prep-book
- revision workbook for external assessments
Senior Mathematics
Level 2 Algebraic skills
with Step-by-Step Solutions
Dedication
In loving memory of great Georgian mathematician
Edemi Lagvilava
Foreword
This book covers all essential skills that students need to know for Level 2 Algebraic Methods. Each worksheet has a worked example, and questions are designed to give students lots of practice on similar questions. Each problem has step-by-step solutions. The book provides enough of write on space for students and covers skills required for achievement, merit and excellence type questions. Capital letters have been introduced into question reference numbers to indicate the level of difficulty of a problem:
A indicates that the problem is at achievement levelM indicates that the problem is at merit levelE indicates that the problem is at least at merit or excellence level
The book can be used as a:
supplement learning workbook
prep-book
revision workbook for external assessments
Senior Mathematics
Level 3 Calculus
Differentiation Essential Skills
This book covers all essential skills that students need to know for Level 3 Differentiation Methods. Each worksheet has a worked example, and questions are designed to give students lots of practice on similar questions. Each problem has step-by-step solutions. The book provides enough of write on space for students and covers skills required for achievement, merit and excellence type questions. Capital letters have been introduced into question reference numbers to indicate the level of difficulty of a problem:
A indicates that the problem is at achievement level
M indicates that the problem is at merit level
E/M indicates that the problem is at least at merit or excellence level
The book can be used as a:
- supplement learning workbook
- prep-book
- revision workbook for external assessments
Copyright @ 2024 Marina Alexander & Nugzar Nachkebia. All rights reserved.
ISBN: 978-0-473-72045-2; Editor: Marina Alexander
Published by: QARTU BOOKS Limited
Computer design: Nugzar Nachkebia; Cover page: Sky Tower. Auckland NZ. Authors’ photo
Published as a digital book. The Puzzle Book can be ordered from our website: www.qartubooks.co.nz or contact email: qartubooks@gmail.com
Senior Mathematics
AS 91947 (1.4) - Demonstrate Mathematical Reasoning
Basic Skills
We are pleased to present this digital revision book for the NCEA Level 1 Mathematics external standard.
This series has been developed to support students in building the mathematical knowledge, skills and confidence required for success in the NCEA Level 1 examination. To ensure that the PDF files remain compact and accessible, the material has been organised into two complementary books:
Basic Skills and Basic Skills with Step-by-Step Solutions
Each topic begins with worked examples that demonstrate essential mathematical methods and reasoning, followed by carefully selected exercises that provide opportunities for practice and consolidation. Ample space is provided for students to record their working, making the books suitable for use as workbooks as well as revision resources.
The Basic Skills books focus primarily on material at the Achievement level. The book provides a structured pathway from developing fundamental skills to applying mathematical reasoning to mathematical problems.
The resources are designed for both independent study and classroom use. Students can use them for learning, consolidation and examination preparation, while teachers may use them to support classroom teaching, homework, revision, assessment preparation and the marking of student work. They may also serve as practical supplementary resources for beginning teachers.
Capital letters in the question reference numbers indicate the intended level of difficulty; e.g. A – Achievement.
Copyright @ 2026 Marina Alexander & Nugzar Nachkebia. All rights reserved.
Senior Mathematics
AS 91947 (1.4) - Demonstrate Mathematical Reasoning
Advanced Skills
We are pleased to present this digital revision book for the NCEA Level 1 Mathematics external standard.
This series has been developed to support students in building the mathematical knowledge, skills and confidence required for success in the NCEA Level 1 examination. To ensure that the PDF files remain compact and accessible, the material has been organised into two complementary books:
Advanced Skills and Advanced Skills with Step-by-Step Solutions
Each topic begins with worked examples that demonstrate essential mathematical methods and reasoning, followed by carefully selected exercises that provide opportunities for practice and consolidation. Ample space is provided for students to record their working, making the books suitable for use as workbooks as well as revision resources.
The Advanced Skills book extend this learning to problems requiring the deeper understanding and reasoning associated with Merit and Excellence. The book provides a structured pathway for developing and applying mathematical reasoning to more challenging problems.
The resources are designed for both independent study and classroom use. Students can use them for learning, consolidation and examination preparation, while teachers may use them to support classroom teaching, homework, revision, assessment preparation and the marking of student work. They may also serve as practical supplementary resources for beginning teachers.
Capital letters in the question reference numbers indicate the intended level of difficulty; e.g. M – Merit, and E – Excellence.
Copyright @ 2026 Marina Alexander & Nugzar Nachkebia. All rights reserved.
Copyright @ 2017 QARTU BOOKS Limited. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise without the written permission of copyright holders.