# A Level Pure Maths

 Mainly AS Mainly A2

## Mainly AS

Six questions, of progressive difficulty, each on 'complete the square then solve', 'factorise then solve', 'quadratic formula to solve'. PDF here.

Five worded problems requiring knowledge of quadratic algebra to solve.

Crib sheet for how functions and their graphs relate to each other. PDF here.

Some rich coordinate geometry questions about perpendicular & parallel tangents to the x2 graph. PDF here.

Not much info on this diagram but can you find the equation of the small blue circle? Includes Answers. PDF here.

Intelligent variation examples ('my turn') and questions ('your turn') on rationalising the denominator. Includes answers. PDF here.

A couple of nice indices questions; what's going on here? Can you make another question like this?! PDF here.

An example of how to answer in set notation and interval notation, then some questions for practise. PDF here.

Notes on stationary and non-stationary points of inflection. PDF here.

Complete the steps in the table to get from ax2+bx+c=0 to the quadratic formula. Or, cut out the steps and ask students to arrange them in the correct order. Answers on page 1, empty table on page 2, the peices in a random order on page 3. PDF here

What's the biggest area you can contain with x cm of string? Whats the biggest volume you can contain with an A4 sheet of paper? Not as easy as it seems! Our answers and Autograph file used.

An explanation via example of Remainder Theorem. PDF here. A set of Notes on Division of Polynomials.

How the rules of indices work. Follow them and you can't go wrong! PDF here.

A lovely spider diagram jpeg noting all the useful formulas required for A Level Mathematics. Print out, explore, learn.

Interactive match up pairs starter activity for key elements of A level maths basics, great for revision.

Six questions to find everything out about the quadratic expressions. PDF here.

Prompt for learning where to put + & - symbols when factorising quadratics.

A set of questions taken from the AQA Additional Maths specimen paper. A great GCSE A/A* extension or As introduction. PDF here. Ask pupils to order by difficulty using this template and then attempt all that they can. Lesson plan.

A set of 26 A-Grade algebra questions on simplifying, rearranging and solving. Pupils match up questions to answers and then use as support, or just for checking, to solve questions. PDF here. A set of 'rich questions' to go with this activity.

Three quadratic equations, of varying difficulty, to solve via each of the three methods: Factorising, Completing the Square & Quadratic Formula.

Three versions of this: Easy, Medium or Hard.

Practice at completing the square.

Resources to test deep understanding of differentiation to solve problems, factor theorem for drawing polynomials and coordinate geometry. This activity composed the key part of a Yr11OFSTED OUTSTANDING lesson.

 Starter Questions plus Autogrpah files: Coordinates, Factor Theorem Polynomials and Differentiation to test prior understanding plus Autograph file Main task on white background or on coloured background Main task with hints on white version or on coloured background Main task Autograph files: Coordinates, Differentiation, Factor Theorem Lesson Plan

Some, relatively simple, questions on using the factor & remainder theorem.

Ten cubic expressions to factorise as well as an extension activity. Includes answers. PDF here.

Use combinations of the factors given to make the polynomials. An easier and harder version with answers included for both. Pdf here.

Very simple notes on coordinate geometry: gradient of a line, distance between two points, midpoints, negative reciprocal... PDF here.

Matchup the equation, differential, specific coordinate, gradient at specific points, stationary points and tangent. Includes two versions; one easier, one harder. Geogebra file used (edit the equation to fit). Images of graphs.

List of commonly confused exam terminology and thier meanings. PDF here. A3 poster version. Cut them out and match them up version.

Kinesthetic activity for students. PDF here. Print out the graphs onto A4 paper, then print the final 6 slides onto accetate and cut up. Pupils use the accetates to show the required graph transformations. Smaller print version, this one prints all the original graphs onto 2 A4 sides, another page on tracing paper for the graphs. PDF of this file here.

Students use the equations given, together with some of thier own creation, to match to the written transformations. Extension questions too on order of transformations.

Four questions based on each of; Pythagoras, standard right-angled trig, sine rule, cosine rule and sine rule for area. Answers included. PDF here.

18 questions to thoroughly test students understanding of solving trig equations giving all answers in the correct region and using both degrees and radians. The Tarsia program for Windows is license free. Trig Identity warmup questions. PDF here.

Notes on A Level APs & GPs (Arithmetic Progressions & Geometric Progressions). PDF here

Arithmetic Progression and Geometric Progression Intro Questions

Several quick - miniwhiteboard - questions to get students up to scratch on AP's. Includes sequence and series questions in both AP and GP.PDF APs here, PDF GPs here.

Questions and extensions based on an A level exam question involving sums of both arithmetic and geometric series. Includes answers. PDF here.

Very simple notes on the rules of logarithms. PDF here. Some accompanying images...

 Solar system log graph Old calculator Old calculator Slide rule

A few quick starter questions on solving exponential and log equations as well as differentiating and integrating them. Includes Answers. PDF here.

Four different introductions to the binomial expansion. Spread around class, complete, and then present to other students. An activity to really reinforce the imprortance of the binomial expansion across several areas of Mathematics. PDF here.

 Binomial smartboard file Binomial lesson plan

A progression of binomial expansions to take students from the very straightforward (x+1)3 to (3-2x)5 in easy steps.

A couple of questions to highlight finding all terms vs using binomial formula to find just one term. Contains an easier and harder question, with answers.

All of the required formulae for the old AQA Core 2 module on a single side of A4. Arranged into those formula that must be remembered and those that are, or were, given in the formula book. Tested and much appreciated by my sixth form class!