NCEA maths skill practice
Definite Integrals and Area NCEA practice questions
Practise definite integrals and area using the existing NCEA question bank.
Skill overview
What these questions practise
Choose a question, attempt it independently, then compare the reasoning and restrictions in its walkthrough.
Relevant standards: NCEA Level 3 Integration — AS91579
This collection contains 45 matching walkthroughs across 9 examination years.
The grouping is based on the method recorded for each walkthrough. Use the linked NZQA standard and paper material for authoritative wording, diagrams, and assessment information.
Before you start
Common mistakes in these methods
- Find the correct bounds and distinguish signed integrals from geometric area. Differentiate your antiderivative before evaluating it.
Related practice
Definite Integrals and Area questions from different years
Open a question for hints and a progressive worked solution, or use the standard and paper links to return to its assessment context.
45 matching questions shown.
NCEA Level 3 · AS91579 2025 Integration 7 questions
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NCEA Level 3 · AS91579 2024 Integration 5 questions
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NCEA Level 3 · AS91579 2023 Integration 3 questions
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NCEA Level 3 · AS91579 2022 Integration 6 questions
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NCEA Level 3 · AS91579 2021 Integration 5 questions
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NCEA Level 3 · AS91579 2020 Integration 3 questions
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NCEA Level 3 · AS91579 2019 Integration 6 questions
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NCEA Level 3 · AS91579 2018 Integration 5 questions
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NCEA Level 3 · AS91579 2017 Integration 5 questions
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