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.
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Standard (December 2012)
The questions in this course can come from any of the level 8 New Zealand Curriculum calculus achievement objectives:
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.
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Standard (December 2012)
The questions in this course can come from any of the level 8 statistics achievement objectives:
Questions can also come from the following level 8 calculus achievement objective: