Maths teacher Ian Tomkins has emailed me with a list of topics that he has put together for students who will be sitting Edexcel Higher Papers 2 and 3 based on the content of Paper 1. The list is below. Thank you to Ian, and I hope you all find it useful:

**General**

- Make sure your calculator is set to degrees and you know how to round to significant figures or decimal places.

**Number**

- BIDMAS,
- Use of calculator, (write down all the numbers on your calculator)
- Product of prime factors, find highest common factor, find lowest common multiple
- Percentages, compound interest/depreciation, repeated years for a bank or reverse percentages
- Best buy, best value
- Standard form
- Lower and upper bounds, deciding on the largest/smallest possible value
- Convert a recurring decimal to a fraction
- Rationalise the denominator

**Algebra**

- Nth term of a sequence, possibly a decreasing sequence, maybe a quadratic sequence
- Complete the square
- Using the quadratic formula
- Equation of a circle
- Simultaneous equations, linear cancelling method or substitution method
- Iterations
- Change the subject of a formula
- Function notation (composite/inverse)
- Sketch or recognise cubic and reciprocal graphs,
- Find the area under the curve (trapezium rule)
- Find the turning point
- Inequalities, shade the region that meets all the criteria

**Geometry**

- Scale drawings and bearings. Start from North, go clockwise, 007.
- Construct a bisector.
- Area or circumference of circle/sector/segment (revolutions of a tyre)
- Volume of sphere/pyramid
- Translations and enlargements (maybe with negative scale factor)
- Estimate the mean from grouped frequency table, mode and median
- Trigonometry, remember SOHCAHTOA, sine rule, cosine rule, 0.5absinC for area
- Symmetry
- 3D coordinates
- 3D Pythagoras
- Circle theorems. Lots more to revise here, maybe proof of a circle theorem
- Angles in a polygon,
- Angles in parallel lines (corresponding,alternate,complementary,supplementary)
- Congruency proof SSS, SAS, ASA, RHS.
- Similar shapes, maybe overlapping triangles, find the scale factor. SF with areas and volumes.
- Convert metric units, litres, cm,
- Force mass pressure and density mass volume triangles.
- Vectors, finding mid-points, capture/recapture

**Statistics**

- Stratified sampling and random sampling methods (#Ran on your calculator)
- Scatter graphs and drawing and using the line of best fit
- Pie chart
- Cumulative frequency
- Stem and leaf (with a key)
- Histogram (frequency density)
- Frequency polygon (mid point)
- Venn diagrams, set notation
- Probability tree diagrams, mutually exclusive.