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Year 11


The following is from the Head Markers report for 2012 Level 1 Mathematics:

Candidates maximise their opportunities for success in standards by:
  • attempting all parts of all questions;
  • showing working and/or providing explanations;
  • using methods other than guess and check.

Candidates need to be able to:
  • interpret their solutions in context;
  • apply number and algebra and graphing skills and interpretation across standards;
  • generalise situations. This may require use of algebra skills;
  • use correct mathematical and statistical language and communicate this effectively;
  • present a clear, accurate and logical argument or proof;
  • combine an understanding of concepts in a coherent manner;
  • use algebraic reasoning in explanations;
  • communicate mathematical insight.

Students need to follow this advice, and not take short-cuts. It is vital that attention is paid to the correct terminology and that the markers require appropriate working to be shown. The mere act of getting the answer right may not be sufficient to earn a grade.

Old Exam papers

All the end of year exams from 2011 to 2015, as 8 MB zip file.


There are a large number of worksheets grouped on the separate page linked on the tab to the side. Those are mostly preliminary material for practice on basic skills.

Algebra Trial 1        Algebra Trial 2        Algebra Trial 3

Algebra Trial 4        Algebra Trial 5        Algebra Trial 6        pdf files

These are effectively practice exams, though a little bit shorter than a full hour and towards the tougher end. They have been updated in 2017 to attempt to reflect the changes to the NZ Curriculum in the style of questions asked in the MCAT (the skills are basically the same as before).

Old style 1        Old style 2        Old style 3

Old style 4        Old style 5        Old style 6        pdf files

These are mostly the same questions as the "trial" ones above, but written in the old style of question, which may suit overseas users.

There are now a number of videos on the video page. They cover most of the topic, except for a few items at Excellence.

Geometric Reasoning


Geometry Cards        pdf file

The basic rules and terminology required for Year 11 geometry, in a format for making into paper flash cards.

On-line flash card practice on rules made using GoConqr

Achieved Geometry 1        Achieved Geometry 2        Achieved Geometry 3        pdf files

Merit+ Circle Geometry 1        Merit+ Circle Geometry 2        Merit+ Circle Geometry 3

Merit+ Circle Geometry 4        Merit+ Circle Geometry 5        Merit+ Circle Geometry 6

Some practice pages. Note that the quality of reasons given will determine your grade: these worksheets give examples of the correct sort of reasons, but often there is more than one correct set of steps.


Trigonometry Notes        pdf file

Notes on the skills required for Level 1 trigonometry.

Excel Spreadsheet        zip file

This randomises straightforward Trigonometry problems.

Achieved Trig 1       Achieved Trig 2       Achieved Trig 3        pdf files

Extension Trig 1          Extension Trig 2          Extension Trig 3

Merit+ Trig 1          Merit+ Trig 2          Merit+ Trig 3

Some practice pages for Trigonometry.

The Extension pages are relatively straight forward in terms of the trigonometry, but include simple bearings and most require the ability to draw the right angle triangles of the situation. (Normally you will be given a drawing of the situation, but it helps to practice without one as well.)

Tables, Equations and Graphs

The Head Marker noted in 2012 regarding this exam:

At all levels of achievement, there were frequent instances of candidates not using and not understanding terminology and conventions associated with the content of this standard. [in particular]
  • the coordinates of points are expressed as (x, y);
  • equations have at least one term on either side of an "=" sign
  • vocabulary: gradient, intercept, intersection, continuous, discrete, parallel, consecutive, horizontal,
   vertical, straight, curve, translate.


Patterns Excel Spreadsheet        zip file

This randomises patterns to practice writing equations, both linear and quadratic.

Patterns and Tables 1        Patterns and Tables 2        Patterns and Tables 3        pdf files
Some practice pages specifically on patterns and tables – Achieved, Merit and Excellence level.


Graphing Notes        pdf file

How to draw graphs, write equations for graphs, and answer a few graphing problems in contexts..

Graphs Excel Spreadsheet        zip file

This randomises straightforward questions for practing graphs. Use this particularly for practice writing equations of lines and parabolas.

Linear Algebra 1        Linear Algebra 2        Linear Algebra 3        pdf files

Worksheets for the Linear Algebra (Internal) standard. However, all the skills of that unit are relevant to Achieved and Merit in the external unit.

Achieved Graphing 1        Achieved Graphing 2        Achieved Graphing 3

Merit+ Graphing 1        Merit+ Graphing 2        Merit+ Graphing 3        pdf files

Practice pages concentrating on graphing and writing equationson grids.

Context Graphing 1        Context Graphing 2        Context Graphing 3        pdf files

Context Graphing 4        Context Graphing 5        Context Graphing 6        pdf files

Practice pages for problems in contexts, as almost all questions will be. In general each problem has an Achieved, a Merit and an Excellence portion.

Grid Paper

Practice grid paper 2 grids or 4 grids pdf files if you want to practice drawing lines or parabolas.

Chance and Data

The Head Marker Report in 2012 included the statements regarding this exam:

The questions were, in many cases, open-ended.

A candidate's answer to a question may be used to award any grade, but this depends on the quality (not quantity!) of their answer.

Candidates need familiarity with a range of graphs and statistics and need to be able to relate them to the context in hand.

Candidates need to have experience in, and an understanding of, a variety of statistical investigations to successfully attempt this standard.

Bivariate Analysis Notes        pdf file

This is a four page revision of the basics of analysing scatter plots of bivariate data. It is very likely you will be asked about a scatter plot in the exam.

Multivariate Notes        pdf file

Brief notes on what to discuss in dot plot and box and whisker plot questions.

Data practice 1        Data practice 2        Data practice 3        pdf files

Data practice 4        Data practice 5        Data practice 6  

Data practice 7        Data practice 8        Data practice 9  

Data practice 10      Data practice 11      Data practice 12
Practice sheets for the "Data" part of "Chance and Data", covering all the main graph types and questions relating to them.

Note that the questions may be "open ended", which means that a graph and/or data is given, and students have to write about it noting any features and issues. You cannot assume you will get a standard questions with only one correct answer.

Probability Notes        pdf file

Covers the scope of the "Chance" portion of this unit. Mot questions require an understanding of concepts such as randomness and variation. Technically difficult problems are not common until Year 12.