 Home
 Studying in New Zealand
 Qualifications and standards
 NCEA
 Māori & Pasifika

Providers and partners
 About education organisations
 NZQA's quality assurance system for tertiary education organisations
 Quick links to NZQF documents
 Approval, accreditation and registration
 Consistency of graduate outcomes
 Monitoring and Assessment
 Selfassessment
 External evaluation and review
 Assessment and moderation of standards
 Submitting results and awarding qualifications
 The Education (Pastoral Care of International Students) Code of Practice
 Offshore use of qualifications and programmes
 Guidelines and forms
 About us
Assessment Specifications
Level 2 Mathematics and Statistics 2019
General information
Mode of Assessment  Written Examination 
Standards 
Format for the assessment
Candidates will be expected to:
 give answers that demonstrate an understanding of the mathematical concepts in the solving of problems
 choose their method when solving a problem, although the grade awarded may be affected by the level of thinking shown in solving the problem. Guessandcheck methods are unlikely to show the required level of thinking
 show any working that is asked for in the assessment
 use a range of methods from Explanatory Note 4
 understand the use of a letter such as “k” to represent a constant or coefficient
 be familiar with mathematical terms such as indices, exponents, tangents, proportion, etc
 give more than just the correct answer, as this will generally not be sufficient for showing evidence of the level of thinking required by the standard.
Marking notes
 Some question parts will give the opportunity to gain a grade at any level of achievement as long as the candidate gives enough evidence of their thinking.
 Questions will not necessarily have two opportunities to demonstrate thinking at Excellence level.
 Minor errors will not be penalised unless they directly relate to the methods listed in the standard, e.g. expansion of (x+4)(x3) to give x^{2} + x +12 cannot be identified as an algebraic or numerical error and, therefore, cannot be accepted.
 Rounding in context may be required.
 The answer from one question part may be required in answering subsequent parts. In this case, consistency of response will be assessed as being correct, provided:
 the solution is not an essential component of the standard and
 using the incorrect solution does not make the question much easier to solve.
Equipment to bring
Candidates will require an approved calculator (preferably a graphing calculator). Candidates who do not have access to graphing calculators will be disadvantaged.
Resources or information provided
A Level 2 Mathematics Formulae Sheet, including normal distribution table, will be provided.
Content/context details
Solutions for problems may require knowledge up to and including Mathematics Curriculum Level 6. At higher levels of achievement, solutions for problems may require content knowledge from other areas of Level 2 Mathematics.
Questions may be set in a mathematical context and may require candidates to interpret their solutions in context.
Specific information for individual external achievement standards
Standard  91261 
Domain  Algebra 
Title  Apply algebraic methods in solving problems 
Version  3 
Number of credits  4 
Further clarification of the achievement standard
All candidates should bear the following in mind:
 Any equations formed must be stated as part of solving a problem.
 Algebraic techniques must be shown as opposed to simply providing the correct answer.
 Answers should be expressed in their simplest algebraic form.
 Given the form of a model, candidates may be required to complete the model using the information given in the context of the question.
For the award of Excellence, candidates may be required to
 form and solve exponential equations relating to compound interest, growth and decay, etc
 understand the meaning of rational (fractional) numbers in regards to the roots of equations.
Standard  91262 
Domain  Calculus 
Title  Apply calculus methods in solving problems 
Version  3 
Number of credits  5 
Content/context details
All candidates should bear the following in mind:
 Where a derivative or an antiderivative is an integral part of the solution of a problem, it should be shown as part of the justification of the solution.
 Answers should be expressed in their simplest algebraic form.
 An understanding of the terms “local maximum/minimum” is assumed.
Candidates may be required to:
 draw the graph of the gradient of a function having been given the graph of the function, or vice versa
 justify the nature of the maximum or minimum points, e.g. by using the shape of curve, by using the second derivative, or by testing points
 form their own polynomials (at higher levels of achievement).
Standard  91267 
Domain  Probability 
Title  Apply probability methods in solving problems 
Version  3 
Number of credits  4 
Further clarification of the achievement standard
All candidates should bear the following in mind:
 Probabilities may be expected to be calculated from one or more tables, written information, or a probability tree.
 Questions may require knowledge of inverse normal calculations.
 In describing and comparing distributions (from given statistics or graphs), answers should include reference to the:
 shape of the graph
 the centre of the distribution(s)
 the spread of the data
 Questions may include concepts such as risk or relative risk which can be answered by using informal or intuitive methods.
 “Skewness” can be described informally, e.g. “the peak is shifted to the left”. If the technical term “skew” is used, it should be used correctly.
Mathematics and Statistics subject page  2019 Examination timetable 