NCEA grade score marking and cut scores
NCEA Level 3 Calculus
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How NCEA grade score marking works
NZQA says every externally assessed NCEA achievement standard is marked using grade score marking. A marker gives each question one score, working top down: Excellence evidence first, then Merit, then Achieved. The scores are:
| Grade | Question scores |
|---|---|
| Not Achieved | N0, N1, N2 |
| Achieved | A3, A4 |
| Merit | M5, M6 |
| Excellence | E7, E8 |
The score reflects the whole response to the question, not isolated parts. NZQA then combines the scores into a single grade for the standard: with three questions scored M5, A3 and M6, the total is 5 + 3 + 6 = 14, and that goes in the "total" box on the front of your answer booklet. The highest possible question score is 8, so a standard with three questions has a highest total of 24.
NCEA cut scores 2025
Cut scores are the totals where the grades separate. NZQA gives them as ranges, such as "Merit range 14 to 19", which means any total from 14 to 19 is a Merit. Below are the 2025 cut scores, from NZQA's 2025 cut scores document, for the external standards in our subjects. Each total is out of 24.
| Level | Standard | Subject | Not Achieved | Achieved | Merit | Excellence |
|---|---|---|---|---|---|---|
| Level 3 | 91577 | Calculus: complex numbers | 0 to 6 | 7 to 12 | 13 to 19 | 20 to 24 |
| Level 3 | 91578 | Calculus: differentiation | 0 to 7 | 8 to 13 | 14 to 19 | 20 to 24 |
| Level 3 | 91579 | Calculus: integration | 0 to 6 | 7 to 12 | 13 to 18 | 19 to 24 |
| Level 3 | 91523 | Physics: wave systems | 0 to 6 | 7 to 13 | 14 to 18 | 19 to 24 |
| Level 3 | 91524 | Physics: mechanical systems | 0 to 6 | 7 to 12 | 13 to 18 | 19 to 24 |
| Level 3 | 91526 | Physics: electrical systems | 0 to 6 | 7 to 13 | 14 to 18 | 19 to 24 |
| Level 3 | 91390 | Chemistry: thermochemistry | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 3 | 91391 | Chemistry: organic | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 3 | 91392 | Chemistry: equilibrium | 0 to 8 | 9 to 13 | 14 to 19 | 20 to 24 |
| Level 3 | 91584 | Statistics: evaluate reports | 0 to 7 | 8 to 14 | 15 to 19 | 20 to 24 |
| Level 3 | 91585 | Statistics: probability concepts | 0 to 6 | 7 to 13 | 14 to 18 | 19 to 24 |
| Level 3 | 91586 | Statistics: distributions | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 2 | 91261 | Maths: algebra | 0 to 7 | 8 to 13 | 14 to 19 | 20 to 24 |
| Level 2 | 91262 | Maths: calculus | 0 to 7 | 8 to 13 | 14 to 19 | 20 to 24 |
| Level 2 | 91267 | Maths: probability | 0 to 7 | 8 to 13 | 14 to 19 | 20 to 24 |
| Level 2 | 91170 | Physics: waves | 0 to 6 | 7 to 12 | 13 to 18 | 19 to 24 |
| Level 2 | 91171 | Physics: mechanics | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 2 | 91173 | Physics: electricity | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 2 | 91164 | Chemistry: bonding | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 2 | 91165 | Chemistry: organic | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 2 | 91166 | Chemistry: reactivity | 0 to 8 | 9 to 13 | 14 to 18 | 19 to 24 |
| Level 1 | 91946 | Maths: interpret information | 0 to 6 | 7 to 12 | 13 to 18 | 19 to 24 |
| Level 1 | 91947 | Maths: mathematical reasoning | 0 to 6 | 7 to 13 | 14 to 18 | 19 to 24 |
| Level 1 | 92046 | Physics, Earth and Space Science: Earth-Moon system | 0 to 7 | 8 to 13 | 14 to 18 | 19 to 24 |
| Level 1 | 92047 | Physics, Earth and Space Science: energy | 0 to 6 | 7 to 12 | 13 to 18 | 19 to 24 |
| Level 1 | 92022 | Chemistry and Biology: genetic variation | 0 to 7 | 8 to 12 | 13 to 18 | 19 to 24 |
| Level 1 | 92023 | Chemistry and Biology: materials | 0 to 6 | 7 to 12 | 13 to 18 | 19 to 24 |
The document lists every NCEA standard, alphabetically by subject and then by standard number. A few of them, such as Level 3 Art History 91482 and Level 3 Business Studies 91379, have cut scores that top out at 8 rather than 24, so always read the row for your own standard.
A worked example
A student sits the Level 3 Calculus differentiation exam, 91578, and gets E7, M5 and A4 on the three questions. The total is 7 + 5 + 4 = 16. In 2025 the Merit range for 91578 was 14 to 19, so this is a Merit. One more mark would not change the grade, but 4 more would reach the Excellence cut score of 20.
The same total of 16 also gives Merit in 91577 (Merit 13 to 19) and 91579 (Merit 13 to 18), and in 91524 Mechanical Systems (Merit 13 to 18), but it is Achieved in none of them. This is why NZQA says each set of cut scores relates only to that particular assessment: the same total does not mean the same grade in a different standard or a different year.
Why cut scores change every year
NZQA says each year it sets new grade score ranges using the marked papers and the standard being assessed, and that the cut scores are usually published in early February, shortly after results are released. NZQA does not publish a method for choosing them in advance, so no source can tell you the 2026 cut scores before the exams are marked.
Across the 27 standards in the table, the Achieved cut score fell between 7 and 9, the Merit cut score between 13 and 15, and the Excellence cut score between 19 and 20. Treat that as a range to aim for rather than a prediction. NZQA publishes NZ Scholarship cut scores by year on a separate page.
What cut scores mean for your revision
- Aim for the top of a band, not the bottom. A total of 13 might be Merit in one standard and Achieved in another that year. A buffer of two or three points protects you.
- Every question counts equally. A weak question costs the same as a strong one gains, so do not leave a question blank.
- Merit and Excellence need reasoning. NZQA says Merit needs relational thinking and Excellence needs extended abstract thinking, so show your steps and your reasons.
- Use older papers carefully. A past paper's cut scores apply only to that paper.
For one standard in full detail, including cut scores from 2021 to 2025, see the NCEA 91578 guide.
Use today's paper to see where you stand
Uni-Sine publishes a free daily paper on the NCEA Level 3 Calculus track. It is a short timed paper of 8 questions worth 25 to 35 marks, not a full NCEA exam, and it is not written by NZQA. Mark it, then look at your stats page, which turns the papers you mark into a predicted grade. Treat it as a guide and not as NZQA's grade.
Common questions
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