NCEA Mathematics

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Sigma NCEA Maths and Statistics Resources

NCEA Level 1 Single Standard Maths and Stats Workbooks

This is a series of thirteen write-on workbooks featuring a dedicated workbook for each NCEA Level 1 Mathematics and Statistics Achievement Standard. Containing 50 to 80 pages, these workbooks provide instruction boxes, skills building exercises, a range of problems to solve, at least one practice test and a full set of answers. The booklets can be used for class work, for homework, or for exam preparation. Individual books mean you are able to purchase only the workbooks you need for the achievement standards taught at your school. See below to view the NCEA Level 1 series AS1.1 to AS 1.13

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 who are on track - ‘On Track’ books - and to able students who grasp new ideas quickly - '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.

Level 1

For NCEA Level 1 select 'On Track 3' or 'Fast Track 3'. 

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.

For Teachers

When used for homework only, the very reasonable priced Track books are still 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 only 5-6 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, especially in the four statistics standards (AS 1.10 – 1.13). 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 Books are available for schools.

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 can select the booklets for each achievement standard, these contain enough work for students of all abilities. Buy only the 5 or 6 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 suits your child best: 'On Track' for a middle band student, 'Fast Track' for an able student. The books do not have all possible standards in them, so check that the achievement standards your child is studying at school are in the book you select.

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 problemsAS 1.2  -  Apply algebraic reasoning in solving problemsAS 1.4  -  Apply linear algebra in solving problemsAS 1.5  -  Apply measurement in solving problemsAS 1.7  -  Apply right-angled triangles in solving measurement problemsAS 1.8  -  Apply knowledge of geometric representations in solving problemsAS 1.9  -  Apply… Read More
  • 1-2: $22.50
  • 3-19: $21.50
  • 20+: $18.50
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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 AS 1.3  -  Investigate relationships between tables, equations and graphs AS 1.5  -  Apply measurement in solving problems AS 1.6  -  Apply geometric… Read More
  • 1-2: $22.50
  • 3-19: $21.50
  • 20+: $18.50
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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 trigonometric relationships in solving problems AS 2.5   - Apply network methods in solving problems AS 2.8   - Design a questionnaire AS 2.9   - Use statistical methods to make an… Read More
  • 1-2: $22.50
  • 3-19: $21.50
  • 20+: $18.50
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Fast Track Workbook 4
ISBN 978-1-877567-04-9
written for able NCEA Level 2 students Author : Wiesje Geldof   ‘Fast Track 4’ 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    Apply co-ordinate geometry methods in solving problems 2.2    Apply graphical methods in solving problems 2.3    Apply sequences and series in solving problems 2.4    Apply trigonometric relationships in solving problems 2.6    Apply algebraic procedures in… Read More
  • 1-2: $22.50
  • 3-19: $21.50
  • 20+: $18.50
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Fast Track Workbook 5M
ISBN 978-1-877567-15-5
‘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 methods in solving problems 3.4  Use critical path analysis in solving problems 3.5  Apply the algebra of complex numbers in solving problems 3.6  Apply differentiation methods in solving problems 3.7  Apply integration methods in solving problems… Read More
  • 1-2: $22.50
  • 3-19: $21.50
  • 20+: $18.50
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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 examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and problems of… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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AS 1.2 Algebraic Procedures Workbook
ISBN 978-1-877567-53-7
written for NCEA Level 1 students Author : Wiesje Geldof   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 find clear explanations and detailed worked examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 detailed worked examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and problems of increasing… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and problems of increasing difficulty. At… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and problems of increasing… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 worked examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 examples showing how to solve each type of problem, these are followed by practice exercises and problems. At the end of the workbook there is an Achievement Standard Test.… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 detailed worked examples showing what is required at each step of the statistical enquiry cycle. At the end of the workbook there is an Achievement Standard Test: a… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 worked examples showing what is required at each step of the statistical enquiry cycle. At the end of the workbook there are two Achievement Standard Tests:… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 examples developing the understanding needed to answer a large variety of statistical questions. At the end of the workbook there is an Achievement Standard Test.… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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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 worked examples showing what is required at each step in an investigation involving experimental probability. At the end of the workbook there is an Achievement… Read More
  • 1-2: $10.70
  • 3-19: $9.70
  • 20+: $6.95
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