MEI online resources for mathematics
Sample resources

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Additional Mathematics

Chapters:
  AM: Algebra I - Review Linear expressions, Solving linear equations, Changing the subject of an equation, Quadratic expressions, Solving a quadratic equation that factorises, Completing the square, Simultaneous equations
  AM: Algebra II -Techniques Linear inequalities, Solving quadratic inequalities, Simplifying algebraic fractions, Solving equations involving fractions, Simplifying expressions containing square roots
Sections

Click the links in the menu to access multiple choice tests with fully worked solutions.

Linear inequalities, Solving quadratic inequalities

Before you start...
  • You should be happy with all of the methods raised in chapter 1 and at G.C.S.E. for algebraic manipulation.
When you have finished you should...
  • Be able to solve a linear inequality and display the answer on a number line; (Pages 32 – 33 in the textbook).
  • Be able to solve a quadratic inequality via factorisation and drawing graphs, or by using a table of solutions; (Pages 33 – 35 in the textbook).
Inequalities puzzle
Solving linear inequalities
Solving quadratic inequalities
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Linear inequalities
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Quadratic inequalities
www.mathscentre.ac.uk video
Solving inequalities video
TestTest Questions
Submit answers Algebra 2 - techniques 1

Simplifying algebraic fractions, Solving equations involving fractions

Before you start...
  • You should be happy with all of the algebraic manipulation techniques raised so far, and be confident in dealing with fractions.
When you have finished you should...
  • Be able to simplify algebraic fractions; (Pages 35 – 38 in the textbook).
  • Be able to solve equations involving fractions; (Pages 39 – 41 in the textbook).
TestTest Questions
Submit answers Algebra 2 - techniques 2

Simplifying expressions containing square roots

Before you start...
  • You should be comfortable with using square roots in calculations.
When you have finished you should...
  • Be able to simplify expressions involving square roots; (Pages 42 – 43 in the textbook).
TestTest Questions
Submit answers Algebra 2 - techniques 3
Please complete this once you have finished all four sections. Give it to your teacher / tutor for marking.
Chapter assessment
  AM: Algebra III - Polynomials Operations with polynomials, The factor theorem, The remainder theorem
  AM: Algebra IV - Applications The binomial expansion, The binomial distribution
  AM: Co-ordinate geometry I Co-ordinates, The gradient of a line, Parallel and perpendicular lines, The distance between two points, The midpoint of a line joining two points, The equation of a straight line, Drawing a line given its equation, Finding the equation of a line, The intersection of two lines, The circle
  AM: Co-ordinate geometry II - Applications Inequalities, Using inequalities for problem solving, Linear programming
  AM: Trigonometry I Using trigonometry in right-angled triangles, Trigonometrical functions for angles of any size, The sine and cosine graphs, The tangent graph, Solution of equations using graphs of trigonometrical functions, Identities involving sine, cosine and tangent functions, Using trigonometrical identities to solve equations, The area of a triangle, The sine rule, The cosine rule, Using the sine and cosine rules together
  AM: Trigonometry II - Applications Working in three dimensions, Lines and planes in three dimensions
  AM: Calculus I - Differentiation The gradient of a curve, Finding the gradient of a curve, Differentiation using standard results, Tangents and normals, Stationary points
  AM: Calculus II - Integration Reversing differentiation, Definite integrals, The area between two curves
  AM: Calculus III - Applications to kinematics Motion in a straight line, The constant acceleration formulae, Motion with variable acceleration: the general case, Finding displacement from velocity and velocity from acceleration