Level 2 Maths

2.4 Trigonometry

Apply trigonometric relationships in solving problems

AS91259, version 3 (2019), internal, 3 credits

---

Standard information

• Standard (v3, 2019)
• Standard clarifications (December 2014)
• General level 2 clarifications

Assessment information

• Conditions of assessment (2017)
• Exemplars
• Sample internal 1
• Sample internal 2
• Sample internal 3
• Sample internal 4

Curriculum links

This standard is linked to level 7 of the New Zealand Curriculum. It links to the level 7 achievement objective:

• M7-4 Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions.

2.6 Algebra

Apply algebraic methods in solving problems

AS91261, version 3 (2019), external, 4 credits

---

Student resources

• Formulae sheet

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

Standard information

• Standard (v3, 2019)

Assessment information

• Assessment specifications (2021)

Curriculum links

This standard is linked to level 7 of the New Zealand Curriculum. It links to the achievement objectives:

• M7-6 Manipulate rational, exponential, and logarithmic algebraic expressions
• M7-7 Form and use linear, quadratic, and simple trigonometric equations

2.7 Calculus

Apply calculus methods in solving problems

AS91262, version 3 (2019), external, 5 credits

---

Student resources

• Formulae sheet
• Gradient Function Illustration

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/a>
2013	exam+answers
2012	exam+answers

Standard information

• Standard (v3, 2019)

Assessment information

• Assessment specifications (2020)

Curriculum links

This standard is linked to level 7 of the New Zealand Curriculum. It links to the achievement objectives:

• M7-9 Sketch the graphs of functions and their gradient functions and describe the relationship between these graphs
• M7-10 Apply differentiation and anti-differentiation techniques to polynomials

2.14 Systems of Equations

Apply systems of equations in solving problems

AS91269, version 3 (2019), internal, 2 credits

---

Standard information

• Standard (v3, 2019)
• Standard clarifications (December 2017)
• General level 2 clarifications

Assessment information

• Conditions of assessment (2017)
• Exemplars
• Sample internal 1
• Sample internal 2

Curriculum links

This standard is linked to level 7 of the New Zealand Curriculum. It links to the achievement objectives:

• M7-7 Form and use linear and quadratic equations
• M7-8 Form and use pairs of simultaneous equations, one of which may be non-linear