NCEA Level 3 · AS 91578 (3.6)

AS 91578: Apply differentiation methods in solving problems

Everything for the apply differentiation methods in solving problems exam in one place: past papers with their marking schedules, the scores you needed for each grade, and free marking of your own answers before the real thing.

2026 examMonday 16 NovemberLevel 3 Calculus session, 9:30am
Credits6 creditsExternal, Level 3
2025 grade boundariesA 8 · M 14 · E 20out of 24 marks
Past papers

Every AS 91578 paper, with the boundaries

Papers, schedules and booklets open on the NZQA website. The three score columns are the lowest total out of 24 that earned Achieved, Merit and Excellence that year.

YearDownload from NZQAAMEMarking
202581420Mark it free
202481319Mark it free
2023Boundaries are in the marking schedule
2022Boundaries are in the marking schedule
2021Boundaries are in the marking schedule

Sit a paper under exam conditions, then use Mark it free: upload photos of your working and you get a grade for every question, checked by a teacher, with a tip to reach the next grade. Older papers can be marked against their schedule yourself.

Calculus

What AS 91578 assesses

  • Product, quotient and chain rules
  • Trig, exponential and log derivatives
  • Rates of change and optimisation
  • Curve features and kinematics

Video lessons

Want to know what your answers would score?

Get a paper marked free

Sitting NCEA Maths this year?

Book a free NCEA assessment

More Level 3 standards: NCEA Level 3 Maths, standard by standard.

Achievement 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.