 # Tomkins’ Tips: Edexcel Higher Papers 2 and 3 topic list

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
• 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
• 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.