**Unit 1**

Notes on proportion.

*Solutions to Unit 1 Higher past papers:*

**Use these when you are doing your practice papers**. Find a question like the one you are struggling with (each paper covers the same syllabus, so there will be similar questions in every paper), see how I did it, then do the same in your paper.

- Print this page and add your marks for each paper (and date) so you can see how you are doing
- You need to do all these papers.

- "Practice paper": paper, solutions
- Practice paper A: paper, solutions
- Practice paper B: paper, solutions
- Practice paper C: paper, solutions
- Mock paper: paper, solutions
- Sample Assessment Materials: paper, solutions
- November 2010: paper, solutions
- March 2011: paper, solutions
- June 2011: paper, solutions
- November 2011: paper, solutions
- March 2012: paper, solutions
- June 2012: paper, solutions

**Unit 3**

Unit 3 topics mindmap.

*Notes*

- "Angles in circles" rules, with proofs.
- Surface area: prisms, cylinders, spheres and cones.
- Volume: prisms, cylinders, pyramids, cones and spheres.
- Proportion notes
- Equations of curves (shapes of curves, graphical solution of equations, trial&improvement)
- How to factorise quadratics (from unit 2)
- Quadratic equations
- Loci
- Transformations and construction (but for transforming curve equations, see Equations of curves)
- Trigonometry
- Vectors
- Understanding curve transformations (the theory, why it works)
- Geogebra applets for curve transformations on a sine wave and a wavy line.

*Question sheets: *

- Pyramid questions
- Proportion questions
- Sine+cosine rule extension questions
- Tough unit 3 revision questions and solutions for A/A* people - SohCahToa, equations, shifting a line equation etc.
- Unit 3 final revision questions and solutions

*Solutions to Unit 3 Higher past papers:*

- Practice paper A: paper, solutions
- Practice paper B: paper, solutions
- Practice paper C: paper, solutions
- "Practice" paper: paper, solutions
- Mock paper: paper, solutions
- "Sample Assessment" SAM paper, solutions
- June 2012 solutions
- November 2012 solutions
- Jan 2013 solutions