NCEA Level 2 Maths, standard by standard
NCEA Level 2 Mathematics and Statistics — students usually select a course from these standards, mixing internally assessed topics with the external Algebra, Calculus and Probability papers. Credit values below are the long-standing legacy values; confirm against NZQA.
Apply co-ordinate geometry methods in solving problems
- Distance, midpoint and gradient
- Equations of lines
- Parallel and perpendicular lines
- Modelling problems on the coordinate plane
Apply graphical methods in solving problems
- Linear, quadratic, exponential and other graphs
- Transformations of graphs
- Features — intercepts, vertex, asymptotes
- Modelling situations with the right graph
Apply sequences and series in solving problems
- Arithmetic sequences and series
- Geometric sequences and series
- Sigma notation
- Growth and financial applications
Apply trigonometric relationships in solving problems
- Sine and cosine rules
- Area of a triangle
- Bearings and 2D/3D problems
- Radian measure and arc/sector
Apply algebraic methods in solving problems
- Manipulating and simplifying expressions
- Solving equations — quadratic, exponential, log
- Indices and logarithms
- Factorising and the quadratic formula
Apply calculus methods in solving problems
- Differentiation of polynomials
- Gradient functions and tangents
- Anti-differentiation (integration)
- Optimisation and kinematics
Use statistical methods to make an inference
- Sampling and the statistical enquiry cycle
- Box plots and informal confidence intervals
- Comparing samples
- Making and justifying an inference
Apply probability methods in solving problems
- Probability trees and two-way tables
- Conditional probability
- Risk and relative risk
- Normal and other distributions in context
Apply systems of equations in solving problems
- Solving simultaneous linear equations in 2–3 unknowns
- Substitution and elimination
- Interpreting solutions
- Modelling with systems
Sitting NCEA Maths this year? Book a free 30-minute in-centre assessment — we map your child's standards, target grades and the fastest path to the credits they need.
Book a free NCEA assessmentAchievement standard titles, codes and credit values are referenced from NZQA (nzqa.govt.nz) for course-information purposes; confirm current details on the NZQA website. Vertex Academy is an independent tutoring centre and is not affiliated with or endorsed by NZQA or the Ministry of Education. All practice materials are original.