NCEA Level 1 · AS 91947 (1.4)

AS 91947: Demonstrate mathematical reasoning

Everything for the demonstrate mathematical reasoning 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 examTuesday 10 NovemberLevel 1 Mathematics and Statistics session, 9:30am
Credits5 creditsExternal, Level 1
2025 grade boundariesA 7 · M 14 · E 19out of 24 marks
Past papers

Every AS 91947 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
202571419Mark it free
202471421Mark it free
2023Boundaries 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.

Number and Algebra

What AS 91947 assesses

  • Linear, quadratic and simultaneous equations
  • Expanding, factorising and manipulating expressions
  • Inequalities, exponents and proportional reasoning
  • Patterns, relationships and generalising with algebra

Video lessons

Worked problems

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More Level 1 standards: NCEA Level 1 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.