NZ Scholarship Calculus and Statistics: What It Takes
Quick answer: NZ Scholarship is NZQA's top secondary award, given to roughly the top 3% of students in each subject. Scholarship Calculus (93202) and Statistics (93201) are each a printed exam with four questions. In 2025, about 2.95% of the Level 3 Calculus cohort and 2.96% of the Statistics cohort gained Scholarship. A Scholarship in one subject earns a one-off $500, and stronger results across several subjects can earn $2,000 a year for three years or more.
How Scholarship works
NZQA awards Scholarship in a subject to "the top 3% of students in a subject cohort" (NZQA — 2025 Scholarship results). The cohort includes students with 14 or more Level 3 credits in that subject that year (with other routes described by NZQA), so the 3% is measured against a large group, not just the Scholarship candidates.
There are two levels of result in each subject: Scholarship and Outstanding.
The 2025 numbers for maths
From NZQA's 2025 results (NZQA):
Level 3 cohort: Calculus 13,102 · Statistics 11,649
Scholarship score range: Calculus 17–26 · Statistics 18–27
Scholarship candidates: Calculus 346 · Statistics 312
Outstanding score range: Calculus 27–32 · Statistics 28–32
Outstanding candidates: Calculus 41 · Statistics 33
Share of cohort with Scholarship (incl. Outstanding): Calculus 2.95% · Statistics 2.96%
What that means: around one in 34 Level 3 Calculus students got Scholarship, and about one in 320 got Outstanding.
The exams
Scholarship Calculus (93202)
From NZQA's 2027 specification (NZQA — Scholarship Calculus 2027):
End-of-year exam on printed paper, with four questions
Questions cover patterns and relationships, equations and expressions, and calculus, and can draw on any Level 8 mathematics achievement objective
An approved graphics or CAS calculator is advised, and a formulae and tables booklet is provided
Answers are often needed in exact form (surds or algebraic expressions)
All working must be shown, including CAS commands. "Correct answers only will not be sufficient."
Some parts ask for written discussion of models or methods, including their limitations
Scholarship Statistics (93201)
From NZQA's 2027 specification (NZQA — Scholarship Statistics 2027):
End-of-year exam on printed paper, with four questions
Covers statistical investigation, statistical literacy and probability, all in real-life contexts
An approved calculator is required; a formulae and tables booklet is provided
Data sets with statistical output are supplied where needed
Some questions have minimal scaffolding, so students must organise their own answers
What Scholarship questions feel like
Scholarship isn't harder Level 3 content. It's the same content used in less familiar, multi-step problems, with more emphasis on reasoning and communication.
A Scholarship-style calculus step
Find the maximum value of f(x) = x·e⁻ˣ for x ≥ 0.
f′(x) = e⁻ˣ − x·e⁻ˣ = e⁻ˣ(1 − x). Setting f′(x) = 0 gives x = 1.
f(1) = e⁻¹ ≈ 0.368. Since f′ changes from positive to negative at x = 1, this is a maximum.
A full Scholarship question would usually build on this: for example, generalising to f(x) = x·e⁻ᵏˣ and showing the maximum is at x = 1/k.
A Scholarship-style statistics point
In statistics, marks often depend on critique: is the sample random, could there be bias, and does the evidence support the claim? Practise writing two or three precise sentences about each issue, not just calculating.
What the awards are worth
NZQA's monetary awards (paid for up to three years of tertiary study, subject to keeping at least a "B" average) (NZQA):
Single Subject Award: $500 one-off per subject (maximum $1,000)
Scholarship Award: $2,000 a year for three years
Top Subject Scholar Award: $2,000 a year for three years
Outstanding Scholar Award: $5,000 a year for three years
Premier Award: $10,000 a year for three years
The larger awards depend on combinations of Outstanding and Scholarship results across subjects, and NZQA notes that meeting the minimum "will not guarantee an award".
How to prepare
Secure Level 3 first. Scholarship builds on strong Excellence-level understanding.
Work through past Scholarship papers from NZQA, and read the assessment reports.
Write your reasoning. Practise full, clear solutions with every step shown.
Practise exact answers in calculus (surds, logs, exact π values).
For statistics, practise critique of studies and claims, not just calculations.
Start early. Most successful candidates treat it as a year-long extension.
Preparation tips are MMS editorial guidance.
Common mistakes
Answer-only CAS work. NZQA says correct answers alone aren't enough.
Rounding too early. Calculus answers are often needed in exact form.
Generic statistics comments. Tie every point to the context.
Leaving Scholarship until Term 4. It needs months of extension practice.
When extra support might help
Support is worth considering when a strong student wants extension beyond class work, needs feedback on written reasoning, or wants structured practice with past Scholarship papers.
A tutor can't guarantee a Scholarship, but can provide challenging problems and detailed feedback. Math Make Smart offers online NCEA tutoring and online maths tutoring, and you can book a free trial lesson. For the subjects themselves, see our Level 3 Calculus vs Statistics guide.
Frequently asked questions
What percentage of students get NZ Scholarship?
About the top 3% of the subject cohort. In 2025 it was 2.95% for Calculus and 2.96% for Statistics.
How many questions are in the Scholarship Calculus exam?
Four, according to NZQA's 2027 specification.
How much is a Scholarship worth?
A single subject earns a one-off $500. Larger awards depend on results across several subjects.
Do I need a calculator?
For Calculus, an approved graphics or CAS calculator is advised. For Statistics, an approved calculator is required.