NCEA maths skill practice
Related Rates NCEA practice questions
Practise connecting changing geometric or physical quantities through a shared equation and rates measured with respect to time.
Skill overview
What these questions practise
The catalogue includes sphere, cone, angle, height, area, and motion contexts. Each matched method is explicitly identified as related rates, so the grouping does not infer the topic from a generic rate question.
Relevant standards: NCEA Level 3 Differentiation — AS91578
This collection contains 12 matching walkthroughs across 10 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
- Differentiate the relationship with respect to time before substituting values from the particular instant.
- Keep each geometric quantity distinct and attach the correct units to its rate of change.
- For an angular rate, differentiate the trigonometric relationship before evaluating the angle and other measurements.
Related practice
Related Rates questions from different years
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12 matching questions shown.
NCEA Level 3 · AS91578 2025 Differentiation 1 question
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NCEA Level 3 · AS91578 2024 Differentiation 1 question
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NCEA Level 3 · AS91578 2023 Differentiation 1 question
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NCEA Level 3 · AS91578 2022 Differentiation 1 question
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NCEA Level 3 · AS91578 2021 Differentiation 1 question
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NCEA Level 3 · AS91578 2020 Differentiation 1 question
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NCEA Level 3 · AS91578 2019 Differentiation 2 questions
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NCEA Level 3 · AS91578 2018 Differentiation 2 questions
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NCEA Level 3 · AS91578 2017 Differentiation 1 question
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NCEA Level 3 · AS91578 2016 Differentiation 1 question
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