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Essential Knowledge
Essential Knowledge
These are the topics that we consider essential for you to have mastered in preparation for you to be a brilliant A level mathematician
You might like to try this selection of questions here.
Fractions
Fractions
Try these fractions questions (answers on page 3&4)
Try these Algebraic Fractions (answers on page 2)
Quadratics
Quadratics
Try these questions on different ways of solving Quadratics (answers on page 2)
Try these questions on quadratic graphs (you can check your answers by sketching the graphs at desmos.com)
Surds & Indices
Surds & Indices
Try these questions on rationalising the denominator, its all your turn (answers on page 2)
Try these questions on Indices (answers on last page)
Try these questions on Surds (answers on last page)
Trigonometry
Trigonometry
Try these questions on pythagoras, regular trig, sine rule, cosine rule and the sine rule for area.
Try these worded questions on Trigonometry (answers follow after all the questions)
Try these questions on Sine/Cosine Rules and Sine Rule for Area (answers follow after all the questions)
Algebraic Techniques
Algebraic Techniques
Try these questions on difference of two squares (answers on page 2)
Factorise these (answers on page 2)
Try these Solving Equations Questions (answers here)
Try these Using Formulae Questions (answers here)
Simultaneous Equations
Simultaneous Equations
Try these questions on Simultaneous Equations (answers at the end of the document)
Try this dot-2-dot on Simultaneous Equations (answers on page 2)
Try these questions on Quadratic Simultaneous Equations (answers on page 2)
Great maths websites to explore
Great maths websites to explore
**NEW** GCSE-A level maths Transition - support, tasks and guidance from the AMSP (Advanced maths support program)
Brilliant.org - Sign up for daily interesting maths questions and work your way up the levels. Great for maths enrichment
Numberphile - Lots of interesting and quirky maths videos, suitable for all
+Plus Magazine - Plus Magazine is an online magazine style website aiming to introduce readers to the beauty and practical applications of Mathematics. Many, many interesting articles.
BBC Future - Lots of interesting Aeronautics, Science and Engineering articles
Chalkdust Magazine - A maths magazine website for the mathematically curious
Maths Careers.org - Maths Careers website, some great enrichment articles and information about careers based on Mathematics qualifications at all levels.
Interesting Engineering.com - Lots of interesting engineering articles. Follow them on Facebook for daily updates too
**NEW** Mathed Up transition materials - lots of practice of key topics here.
Great maths reading books
Great maths reading books
The Art of Statistics by David Spiegelhalter
Math on Trial by Coralie Colmez and Leila Schneps
Factfulness by Hans Rosling
The Undercover Economist by Tim Harford
Why do Buses Come in Threes? by Rob Eastaway
Maths on the back of an Envelope by Rob Eastaway - available to pre-order now!
The Life Changing Magic of Numbers by Bobby Seagull
Invisible Women by Caroline Criado Perez
The Perils of Perception by Bobby Duffy
Humble Pi by Matt Parker
Useful A Level maths resources
Useful A Level maths resources
Our specification - OCR A (and here's the at a glance version)
You'll need a Casio Classwiz FX-991EX calculator, they're on Amazon here
The CGP Head Start to A Level Maths book is free on Amazon Kindle edition
Solve anything with Wolfram Alpha
Desmos graphing software (simpler, easier to use, works well on all devices)
Geogebra graphing software (more advanced, harder to get used to but well worth it once you do!)
Google Sites
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