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NCEA Mathematics

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Sigma NCEA Maths and Statistics Resources

 

NCEA Maths Full Course Workbooks - The Track Series

Sigma provides full course ON TRACK and FAST TRACK maths workbooks for senior students studying NCEA Maths and Stats. These full year course workbooks cater to mid-band students with ON TRACK workbooks and to able students who grasp new ideas quickly with the FAST TRACK books. The senior secondary TRACK workbooks contain around 250 pages and supply a full and effective NCEA Maths homework resource for serious students at a reasonable price.

NCEA Level 1 Single Standard Maths and Stats Workbooks

The New NCEA 2024 Curriculum for Level 1 students, Sigma Publications provides a series of ten workbooks, seven NCEA Level 1 ‘Single-Standard’ workbooks, where each workbook contains study material for one NCEA Achievement Standard, and two workbooks that cover Maths (1.2 and 1.4) and Statistics (1.1 and 1.3) plus the Numeracy Co-requisite workbook. This set of Level 1 NCEA workbooks give students or teachers the freedom to buy only those workbooks that cover the standards they are studying. Each contains enough material to be used as an in-class teaching resource or as study material before exams. Exercises, problems and even the language used are based on the most up-to-date NCEA maths assessments. 

With our original series (available while stocks last) Sigma provides a series of thirteen NCEA Level 1 ‘Single-Standard’ workbooks as required prior to the 2024 curriculum refresh

Numeracy Co-requisite

With changes to the curriculum for 2024, students need 80 credits to pass Level 1 NCEA. Ten of those credits must come from the Literacy Co-requisite exam and ten from the Numeracy Co-requisite exam. The remaining 60 credits are to be made up from other subjects including English and Maths. Our Co-requisite book contains notes and practice questions for the relevant Mathematics skills at curriculum levels 4 and 5 in preparation for the NCEA Numeracy co-requisite exam. In addition to working through these books, students are advised to gain as much experience in real-world english and maths as they can. 

Numeracy Co-requisite : Realistic ideas of measurements and the cost of everyday items, strong concepts of time and how to read timetables and maps will help support them on their Numeracy journey. It is worth noting that the Numeracy Co-requisite assessment is not a test of mental arithmetic or speed of calculations, students are able to have a calculator in the assessment and to take as long as they need to complete it.

Download a Series Summary Sheet here

[Titles, year groups, curriculum levels, chapters, ISBN numbers, contact phone.]

Level 2 

For NCEA Level 2 select 'On Track 4' or 'Fast Track 4'.

Level 3

'Fast Track 5M' provides a full course workbook for NCEA Level 3 students, it contains all Maths standards.

Download a Series Summary Sheet here

[Titles, year groups, curriculum levels, chapters, ISBN numbers, contact phone.]

For Teachers

When used for homework only, the very reasonable priced TRACK books are very popular with teachers and students in New Zealand. If teachers like to use a write-on book for classroom work as well as homework, then the single standard booklets would be a better choice. These booklets contain more work and feature more exam type problems. Students like the booklets because there is more room to write the answers.

With classes needing to study certain Achievement Standards to gain the maths credits required in Year 11, our series of single Achievement Standard write on workbooks allow teachers to select only the NCEA Level 1 Maths and Stats resources they need to cover their particular schools’ course. 

These workbooks feature the most up-to-date interpretations of the Standards and assessment materials. They are great for homework study or they can be used by the whole class as core classroom material. Lay the foundations for improved school-wide maths results with Sigma’s new Level 1 NCEA Maths and Stats workbooks.

Sample pages are available on book pages.

For Parents

If your child's school is not working with Sigma's NCEA resources already, you could help by providing a revision book. The NCEA workbooks contain worked examples, showing how to solve problems, followed by pages of practice exercises to improve  skills. 

For NCEA level 1, you could select from the range of single standard booklets. Buy only the titles that cover the Maths and Stats Achievement Standards your child is sitting and spread the cost over the year.

For a full course book covering NCEA level 1, 2 or 3, you need to carefully select the TRACK book that best suits your child's ability level: ON TRACK workbooks are for middle-band students, while FAST TRACK workbooks are for more able students. The books do not have all possible standards in them, so check that the list of achievement standards your child is studying at school are included in the workbook you select [see individual book pages on this site]. Sample pages are a great place to start - get your child to view them and if they find them too easy, go to the next book in the sequence.

NEW 2024 NCEA MATHS - Senior Workbooks Levels 1  - Place your order now.

2024 Focus on Mathematics
ISBN 978-1-991124-06-7
Written for NCEA Level 1 2024 Curriculum Authors : Wiesje Geldof, Katy Thorne   Sigma Mathematics Workbook 'Focus on Mathematics’ is a write-on student resource. This book contains notes and practice questions on mathematical methods across the Number, Measurement, Algebra and Geometry strands at Level 6 of the Mathematics Curriculum. The internal assessment achievement standard, 1.2 Mathematical Methods and the external examination achievement standard 1.4 Mathematical Reasoning have a considerable overlap with… Read More
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2024 AS 1.2 Mathematical Methods
ISBN 978-1-991124-07-4
Written for NCEA Level 1 2024 Curriculum Authors : Wiesje Geldof, Katy Thorne   Total of 5 Credits - Internally Assessed This book contains notes and practice questions on mathematical methods across the Number, Measurement, Algebra and Geometry strands which comprise 1.2 Mathematical Methods. Assessments for this standard are unlikely to be able to incorporate all the possible methods that are part of this standard but must enable the candidate to demonstrate their skills across multiple strands of mathematics. Students are… Read More
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2024 AS 1.4 Mathematical Reasoning
ISBN 978-1-991124-08-1
Written for NCEA Level 1 2024 Curriculum Authors : Wiesje Geldof, Katy Thorne   Total of 5 Credits - Externally Assessed Sigma Mathematics Workbook 'AS 1.4 Mathematical Reasoning’ is a write-on student resource. This book contains notes and practice questions on mathematical methods across the Number, Measurement, Algebra and Geometry strands which comprise 1.4 Mathematical Reasoning.  The assessment for this standard is an external exam. It is unlikely to be able to incorporate all the possible methods… Read More
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2024 Focus on Statistics
ISBN 978-1-991124-00-5
Written for NCEA Level 1 2024 Curriculum Authors : Geoff Ackerley, Wiesje Geldof, Katy Thorne   This book contains notes, questions and practice investigations for the different types of investigation for 1.1 “Explore data using a Statistical Enquiry Process. The four options for the assessment of this standard are: Comparison Investigation (Multivariate Data), Relationship Investigation (Bivariate Data), Time Series Investigation and Experimental Probability Investigation. One of these investigations only needs to be… Read More
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2024 AS 1.1 Comparison Investigation Multivariate Data
ISBN 978-1-991124-01-2
Written for NCEA Level 1 2024 Curriculum Authors : Geoff Ackerley, Katy Thorne   Total of 5 Credits - Internally Assessed Sigma Statistics Workbook 'AS 1.1 Comparison Investigation Multivariate Data’ is a write-on student resource. This book contains notes, questions and practice investigations using Multivariate Data as part of the Comparison Investigation for 1.1 Statistical Enquiry Process. A Comparison Investigation is one of the four options for the assessment of this standard, the other options are:… Read More
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2024 AS 1.1 Relationship Investigation Bivariate Data
ISBN 978-1-991124-02-9
Written for NCEA Level 1 2024 Curriculum Authors : Geoff Ackerley, Katy Thorne   Total of 5 Credits - Internally Assessed Sigma Statistics Workbook 'AS 1.1 Relationship Investigation Bivariate Data’ is a write-on student resource. This book contains notes, questions and practice investigations using Bivariate Data as part of the Relationships Investigation for 1.1 Statistical Enquiry Process. A Relationship Investigation is one of the four options for the assessment of this standard, the other options are:… Read More
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2024 AS 1.1 Experimental Probability Investigation
ISBN 978-1-991124-03-6
Written for NCEA Level 1 2024 Curriculum Authors : Geoff Ackerley, Wiesje Geldof, Katy Thorne   Total of 5 Credits - Internally Assessed This book contains notes, questions and practice investigations for the Experimental Probability Investigation for 1.1 Statistical Enquiry Process. An Experimental Probability Investigation is one of the four options for the assessment of this standard, the other options are : Relationship Investigation, Time Series Investigation and Comparison Investigation. This standard is internally… Read More
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2024 AS 1.1 Time Series Investigation

ISBN 978-1-991124-04-3
Written for NCEA Level 1 2024 Curriculum Authors : Geoff Ackerley, Wiesje Geldof, Katy Thorne   Total of 5 Credits - Internally Assessed This book contains notes, questions and practice investigations using Time Series Data as part of the Time Series Data Investigation for 1.1 Statistical Enquiry Process. A Time Series Investigation is one of the four options for the assessment of this standard, the other options are: Relationship Investigation, Comparison Investigation and Experimental Probability Investigation. This standard… Read More
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2024 AS 1.3 Mathematical Statistical Literacy
ISBN 978-1-991124-05-0
Written for NCEA Level 1 2024 Curriculum Authors : Geoff Ackerley, Wiesje Geldof, Katy Thorne   Total of 5 Credits - Externally Assessed This book contains notes, questions and practice assessments for 1.3 “Interpret and apply mathematical and statistical information in context”. This standard is externally assessed but is completed in school as a digital Common Assessment Activity and is worth 5 credits. This book predominantly focuses on the statistical aspect of this standard alongside some of the key… Read More
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2024 Numeracy Co-requisite
ISBN 978-1-991124-09-8
Written for NCEA Level 1 2024 Curriculum Authors : Wiesje Geldof, Katy Thorne   Total of 10 Credits - Externally Assessed Sigma Workbook 'Numeracy Co-requisite’ is a write-on student resource. This book contains notes and practice questions for the relevant Mathematics skills at curriculum levels 4 and 5 from the Number, Measurement, Geometry, Statistics and Probability strands, in preparation for the NCEA Numeracy co-requisite US32406. In addition to working through this book, students are advised to gain as… Read More
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ORIGINAL NCEA MATHS - Senior Workbooks Level 1 - available while stocks last

MWB AS 1.1 Numeric Reasoning Workbook
ISBN 978-1-877567-52-0
written for NCEA Level 1 students Author : Wiesje Geldof   Total of 4 Credits - Externally Assessed The Sigma Workbook 'AS 1.1 - Numeric Reasoning' is a write-on student workbook covering the mathematics students must understand to gain Achieved, Merit, or Excellence in the internally assessed Mathematics NCEA Achievement Standard 1.1 – 'Apply numeric reasoning in solving problems' (AS 91026). In this workbook students will find clear explanations and detailed worked… Read More
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MWB AS 1.2 Algebraic Procedures Workbook - No longer available - out of stock.
ISBN 978-1-877567-53-7
written for NCEA Level 1 students Author : Wiesje Geldof NO LONGER AVAILABLE - OUT OF STOCK   Total of 4 Credits - Externally Assessed The Sigma Workbook 'AS 1.2 - Algebraic Procedures' is a write-on student workbook covering the mathematics students must understand to gain Achieved, Merit, or Excellence in the externally assessed Mathematics NCEA Achievement Standard 1.2 – ‘Apply algebraic procedures in solving problems’ (AS 91027). In this workbook students will… Read More
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MWB AS 1.3 Tables, Equations, Graphs Workbook
ISBN 978-1-877567-54-4
written for NCEA Level 1 students Author : Wiesje Geldof   Total of 4 Credits - Externally Assessed The Sigma Workbook 'AS 1.3 - Tables, Equations, Graphs' is a write-on student workbook covering the mathematics students must understand to gain Achieved, Merit, or Excellence in the externally assessed Achievement Standard 1.3 – ‘Investigate relationships between tables, equations and graphs’ (AS 91028). In this workbook students will find clear explanations and… Read More
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MWB AS 1.4 Linear Algebra Workbook
ISBN 978-1-877567-55-1
written for NCEA Level 1 students Author : Wiesje Geldof   Total of 3 Credits - Internally Assessed The Sigma Workbook 'AS 1.4 - Linear Algebra' is a write-on student workbook covering the mathematics students must understand to gain Achieved, Merit, or Excellence in the internally assessed Achievement Standard 1.4 – ‘Apply linear algebra in solving problems’ (AS 91029). In this workbook students will find clear explanations and detailed worked… Read More
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MWB AS 1.5 Measurement Workbook
ISBN 978-1-877567-56-8
written for NCEA Level 1 students Author : Wiesje Geldof Total of 3 Credits - Internally Assessed The Sigma Workbook 'AS 1.5 Measurement' is a write-on student workbook covering the mathematics students must understand to gain Achieved, Merit, or Excellence in the internally assessed Achievement Standard 1.5 – ‘Apply measurement in solving problems’ (AS91030). In this workbook students will find clear explanations and detailed worked examples showing the… Read More
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MWB AS 1.6 Geometric Reasoning Workbook
ISBN 978-1-877567-57-5
written for NCEA Level 1 students Author : Wiesje Geldof Total of 4 Credits - Externally Assessed  The Sigma Workbook 'AS 1.6 Geometric Reasoning' is a write-on student workbook covering the mathematics students must understand to gain Achieved, Merit, or Excellence in the externally assessed Achievement Standard 1.6 – 'Apply geometric reasoning in solving problems' (AS 91031). In this workbook students will find clear explanations and detailed worked… Read More
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MWB AS 1.7 Right-Angled Triangles Workbook
ISBN 978-1-877567-58-2
written for NCEA Level 1 students Author : Wiesje Geldof Total of 3 Credits - Internally Assessed Sigma Maths Workbook 'AS 1.7 Right-Angled Triangles’ is a write-on student resource covering the mathematics students must understand to gain Achieved, Merit, or Excellence in the internally assessed Achievement Standard 1.7 – 'Apply right-angled triangles in solving measurement problems' (AS 91032). In this workbook students will find clear explanations and detailed worked… Read More
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MWB AS 1.8 Geometric Representations Workbook
ISBN 978-1-877567-59-9
written for NCEA Level 1 students Author : Wiesje Geldof Total of 3 Credits - Internally Assessed Sigma Maths Workbook 'AS 1.8 Geometric Representations' is a write-on student resource covering the geometry students must understand to gain Achieved, Merit, or Excellence in the externally assessed Achievement Standard 1.8 – 'Apply knowledge of geometric representations in solving problems' (AS 91033). In this workbook students will find clear explanations and detailed… Read More
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MWB AS 1.9 Transformation Geometry Workbook
ISBN 978-1-877567-60-5
written for NCEA Level 1 students Author : Wiesje Geldof Total of 2 Credits - Internally Assessed Sigma Maths Workbook 'AS 1.9 Transformation Geometry' is a write-on student resource covering the geometry students must understand to gain Achieved, Merit, or Excellence in the internally assessed Achievement Standard 1.9 – 'Apply transformation geometry in solving problems' (AS 91034). In this workbook students will find clear explanations and detailed worked… Read More
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SWB AS 1.10 Multivariate Data Workbook
ISBN 978-1-877567-61-2
written for NCEA Level 1 students Author : Wiesje Geldof Total of 4 Credits - Internally Assessed Sigma Stats Workbook 'AS 1.10 Multivariate Data’ is a write-on student resource covering the statistics students must understand to gain Achieved, Merit, or Excellence in the internally assessed Achievement Standard 1.10 – 'Investigate a given multivariate data set using the statistical enquiry cycle’ (AS 91035). In this workbook students will find clear explanations and… Read More
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SWB AS 1.11 Bivariate Data Workbook
ISBN 978-1-877567-62-9
written for NCEA Level 1 students Author : Geoff Ackerley Total of 3 Credits - Internally Assessed Sigma Stats Workbook 'AS 1.11 Bivariate Data’ is a write-on student resource covering the statistics students must understand to gain Achieved, Merit, or Excellence in the internally assessed Achievement Standard 1.11 – 'Investigate bivariate numerical data using the statistical enquiry cycle' (AS 91036). In this workbook students will find clear explanations and detailed… Read More
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SWB AS 1.12 Chance and Data Workbook
ISBN 978-1-877567-63-6
written for NCEA Level 1 students Authors : Geoff Ackerley and Wiesje Geldof Total of 4 Credits - Externally Assessed Sigma Stats Workbook 'AS 1.12 Chance and Data’ is a write-on student resource covering the statistics students must understand to gain Achieved, Merit, or Excellence in the externally assessed Achievement Standard 1.12 – 'Demonstrate understanding of chance and data' (AS 91037). In this workbook students will find clear explanations and detailed worked… Read More
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SWB AS 1.13 Elements of Chance Workbook
ISBN 978-1-877567-64-3
written for NCEA Level 1 students Authors : Geoff Ackerley and Wiesje Geldof Total of 3 Credits - Internally Assessed Sigma Stats Workbook 'AS 1.13 Elements of Chance' is a write-on student resource covering the statistics students must understand to gain Achieved, Merit, or Excellence in the internally assessed Achievement Standard 1.13 – 'Investigate a situation involving elements of chance' (AS 91038). In this workbook students will find clear explanations and detailed… Read More
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MOT3 On Track Workbook 3
ISBN 978-1-877567-18-6
written for mid-band NCEA Level 1 students Author : Wiesje Geldof   ‘On Track 3’ is a write-on student workbook that provides a comprehensive study programme for students wishing to sit any combination of the following NCEA Level 1 Mathematics Achievement Standards : AS 1.1  -  Apply numeric reasoning in solving problems AS 1.2  -  Apply algebraic reasoning in solving problems AS 1.4  -  Apply linear algebra in solving problems AS 1.5  -  Apply measurement in… Read More
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MFT3 Fast Track Workbook 3
ISBN 978-1-877567-17-9
written for able NCEA Level 1 students Author : Wiesje Geldof   ‘Fast Track 3’ is a write-on student workbook that provides a comprehensive study programme for students wishing to sit any combination of the NCEA Level 1 Mathematics  Achievement Standards listed below. A selection of these Standards is best suited for able students wishing to take Level 2-3 NCEA Mathematics: AS 1.1  -  Apply numeric reasoning in solving problems AS 1.2  -  Apply algebraic procedures in solving problems… Read More
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NCEA MATHS - Senior Workbooks Level 2

MOT4 On Track Workbook 4
ISBN 978-1-877567-14-8
written for mid-band NCEA Level 2 students Author : Wiesje Geldof   ‘On Track 4’ is a write-on student workbook that provides a comprehensive study programme for students wishing to sit any combination of the following NCEA Level 2 Mathematics Achievement Standards : AS 2.1   - Apply co-ordinate geometry methods in solving problems AS 2.2   - Apply graphical methods in solving problems AS 2.3   - Apply sequences and series in solving problems AS 2.4   - Apply… Read More
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MFT4 Fast Track Workbook 4
ISBN 978-1-877567-25-4
written for able NCEA Level 2 students Author : Wiesje Geldof   ‘Fast Track 4’ Second Edition is a write-on student workbook that provides a comprehensive study programme for students wishing to sit any combination of the NCEA Level 2 Mathematics  Achievement Standards listed below. A selection of these Standards is best suited for able students wishing to take Level 3 NCEA Mathematics: 2.1    Co-ordinate Geometry 2.2    Graphical Methods 2.3    Sequences and… Read More
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NCEA MATHS - Senior Workbooks Level 3

MFT5M Fast Track Workbook 5M
ISBN 978-1-877567-15-5
  written for Level 3 students   Author : Wiesje Geldof   ‘Fast Track 5M’ is written for able NCEA Level 3 Maths students and is a write-on student workbook that provides a comprehensive study programme for students wishing to sit any combination of the following NCEA Level 3 Mathematics Achievement Standards : 3.1  Apply the geometry of conic sections in solving problems 3.2  Apply linear programming methods in solving problems 3.3  Apply trigonometric… Read More
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