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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

The exam papers for the most recent years can be found at: NZQA


There are worksheets and practice tests for the MCAT paper on the separate Algebra Page. There are also a number of videos on the Video Page which cover most of the topic, except for a few items at Excellence.

There Linear Algebra topic is an internal, with material on the Internals Page.

Geometric Reasoning


Geometry Cards    

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 1     Achieved 2     Achieved 3    

Merit+ 1     Merit+ 2     Merit+ 3

Merit+ 4     Merit+ 5     Merit+ 6

Some practice pages, with the Merit ones focusing on circle geometry. 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    

Notes on the skills required for Level 1 trigonometry.

Most of these skills are covered by videos on the video page.

Achieved 1     Achieved 2     Achieved 3    

Extension 1     Extension 2     Extension 3

Merit+ 1     Merit+ 2     Merit+ 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 Notes    

How to write rules (equations) for patterns of all types.

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


Graphing Notes    

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

Achieved 1     Achieved 2     Achieved 3

Merit+ 1     Merit+ 2     Merit+ 3    

Practice pages concentrating on graphing and writing equations on grids.

Context 1     Context 2     Context 3    

Context 4     Context 5     Context 6    

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.

Linear 1     Linear 2     Linear 3

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


Graphs Excel Spreadsheet     zip file

This randomises most of the graphs and patterns topic, including some questions in contexts.

Grid Paper

Practice grid paper 2 grids or 4 grids 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    

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    

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

Practice 1     Practice 2     Practice 3

Practice 4     Practice 5     Practice 6
Practice 7     Practice 8     Practice 9
Practice 10      Practice 11      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    

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