NCEA Level 2 Algebra — AS91261

Standard overview

Skills covered in AS91261

Practise selecting and connecting algebraic methods for equations, expressions, graphs, and contextual models.

• Manipulate powers, radicals, rational expressions, and logarithms.
• Solve quadratic, exponential, logarithmic, and simultaneous equations.
• Use roots, discriminants, and algebraic models to solve problems.

Official title: AS91261 — Apply algebraic methods in solving problems. View the official NZQA standard and assessment resources for AS91261.

More ways to practise

Browse related questions by method

Skill pages collect questions using the same method from different examination years.

Available examination years

Choose a Algebra paper

Each year page links to every walkthrough currently available on Calc.nz.

Reasoning progression

Achieved, Merit, and Excellence thinking

The grade depends on the complete evidence in a response, not merely the apparent difficulty of a question part. Across these walkthroughs, the progression can be understood as:

• Achieved: Select an appropriate method, carry it out correctly, and communicate a valid solution to the problem.
• Merit: Connect methods and conditions, with the relational thinking needed to justify important steps and conclusions.
• Excellence: Develop, generalise, or prove a result using extended abstract thinking and a coherent chain of reasoning.

Always use the assessment schedule for the specific examination when checking grade evidence.

Exam preparation

Common mistakes to watch for

• Dropping domain restrictions when simplifying radicals, fractions, or logarithms.
• Using a decimal approximation when an exact algebraic form is required.
• Stopping after obtaining a value without checking it or interpreting it in context.