Scholarship Calculus AME Workbook

has been updated for 2025.

It covers the level 7 and 8 Mathematics objectives of the New Zealand Curriculum:

- Patterns and relationships
- Equations and expressions
- Calculus

This workbook has concise revision notes suitable for end-of-year exam preparation, with worked examples to illustrate complex mathematics problems. Questions are from the 2024 and earlier years’ Scholarship Calculus exams.

Fully worked solutions to all problems include step-by-step explanations.

Use this workbook all year round or during Terms 3 and 4 to revise and practise exam questions of Scholarship standard.

Published: 05/2025

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Metadata

Maths, math

Phyl Haydock

9781991107572

978-1-991107-57-2

Patterns and relationships

Conic sections

Graphs of functions

Networks

Factorials

sequences

Equations

expressions

Trigonometric identities and equations

Non-linear expressions and equations

simultaneous equations

Complex numbers

Calculus

Differentiation techniques

Differentiation applications

Differentiation techniques and applications

Sketching graphs

Integration techniques

areas under curves

Rates of change

differential equations