Scholarship

Scholarship Maths

Overview

Scholarship maths is a difficult course designed to challenge the very best maths students. Students attempting scholarship maths will be expected to use knowledge of mathematics by combining techniques and concepts from patterns and relationships, equations and expressions, and calculus, to solve complex problems in unfamiliar or generalised situations. The questions could be taken from any level 8 Mathematics AOs of the New Zealand Curriculum (M8–1 to M8–12), including content that isn't covered in the level 3 maths course at Wā Ora. Individual questions may cover the content of more than one area. Questions may be set in both mathematical and real-life contexts. Questions involving unfamiliar situations may be set, but necessary information will be supplied in the question.

Formulae and tables booklet

Formulae and tables booklet

Student resources

Maths Olympiad problems
CalcEX problems

Past exams

2023 exam+answers
2022 exam answers
2021 exam answers
2020 exam answers
2019 exam answers
2018 exam answers
2017 exam answers
2016 exam answers
2015 exam answers
2014 exam answers
2013 exam answers
2012 exam answers
2011 exam answers
2010 exam answers
2009 exam answers
2008 exam answers
2007 exam answers
2006 exam answers
2005 exam answers
2004 exam answers

Standard

Standard (December 2012)

Curriculum links

The questions in this course can come from any of the level 8 New Zealand Curriculum calculus achievement objectives:

Patterns and relationships
Equations and expressions
Calculus

Scholarship Statistics

Overview

Scholarship statistics is a difficult course designed to challenge the very best statistics students. Students attempting scholarship statistics will be expected to use knowledge of statistics to apply statistical and probability concepts and methods to complex problems in contexts which may be unfamiliar, interpret and, where appropriate, make inferences and clearly communicate concepts and findings. Questions will be set in the areas of Statistical investigation, Statistical literacy, and Probability (which may include use of permutations, combinations, and expectation), all having real-life contexts. Individual questions may cover the content of more than one area. There will be an emphasis on data analysis and interpretation.

Formulae and tables booklet

Formulae and tables booklet

Past exams

2023 exam+answers
2022 exam answers
2021 exam answers
2020 exam answers
2019 exam answers
2018 exam answers
2017 exam answers
2016 exam answers
2015 exam answers
2014 exam answers
2013 exam answers
2012 exam answers
2011 exam answers
2010 exam answers
2009 exam answers
2008 exam answers
2007 exam answers
2006 exam answers
2005 exam answers
2004 exam answers

Standard

Standard (December 2012)

Curriculum links

The questions in this course can come from any of the level 8 statistics achievement objectives:

Statistical investigation
Statistical literacy
Probability

Questions can also come from the following level 8 calculus achievement objective: