#3A
The basic processes of algebra
Collecting like terms, using the four operations, the rules of indices, with integers and fractional powers
#3B
The construction, interpretation and use of formulae and their manipulation
To include change of subject of a formula and substitution
#3C
The factorisation of simple algebraic expressions
#3D
Use of the factor theorem
Including application to cubics and factors of the form \((ax+b)\) or \((ax-b)\)
#3E
Algebraic division of a cubic by a linear factor
#3F
The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic
Simple cases involving sum, difference, product and quotient of algebraic fractions
#3G
Solution of equations of 1st, 2nd and 3rd degree containing one unknown quantity
Solution of quadratics to include solution by factorisation, by graph, by completing the square or by formula
Problems that result in the solution of such equations may also be set
#3H
Solution of linear simultaneous equations in two unknowns
Simple questions may be set requiring the graphical solution of simultaneous linear equations
#3I
Solve simultaneous equations in two unknowns, one equation being linear and the other being quadratic
#3J
Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space
Simple questions may be set requiring the graphical solution of simultaneous linear inequalities
No questions will be set on linear programming
#3K
Solve quadratic inequalities in one unknown and represent the solution set on a number line
#3L
The idea of a sequence
Being able to recognise sequences witha common difference or common integer sequences, and to continue a given sequence