Random Masters - Download Randomly Generated Mathematics Worksheets for Primary and High School in Excel or PDF Format

Worksheets in this category provide students with practice in expanding and factorising to do with quadratic and higher order expressions.

Worksheet Name	Files
Binomial Products (Simple)		Provides practice in binomial expansion - e.g. (x + 2)(x - 3) = x² - 3x + 2x - 6. Students then simplify to give a quadratic expression.
Binomial Products (More Complex)		Provides practice in binomial expansion using more complex expressions - e.g. (2x - 1)(3x + 2) = 6x² + 4x -3x -2. Students then simplify to give a quadratic expression.
Binomial Products - Squares of Sums and Differences		Provides practice in the binomial expansion of squared expressions using the relationships (a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b²
Binomial Products - Difference of 2 Squares		Provides practice in expanding binomial products using the relationship (a+b)(a-b) = a²-b².
Pascals Triangle & Binomial Expansion		Provides practice in expanding expressions raised to the power of 2 or more, using Pascal's triangle to determine the co-efficients of the terms in the expansion - e.g (x + 5)⁴.
Quadratic Factorisation: a=1		Provides practice in factorising quadratic expressions where the co-efficient of the squared term is 1 - e.g. x² + 3x + 2 = (x + 1)(x + 2) - either by inspection or by decomposition.
Quadratic Factorisation: a>1		Provides practice in factorising quadratic expressions where the co-efficient of the squared term is >1 - e.g. 2x² + 7x + 3 = (2x + 1)(x + 3) - by decomposition.
Quadratic Factorisation: Perfect Square Quadratics		Provides practice in identifying and factorising perfect square quadratics by inspection - e.g. x² + 12x + 36 = (x + 6)².
Quadratic Factorisation: Difference of 2 Squares		Provides practice in identifying and factorising quadratic expressions which are the difference of two squares - e.g. 9x² - 4 = (3x + 2)(3x - 2).
Basic Skills in Pre-Senior Algebra		This sheet contains 3 useful skills to know before attempting higher level algebra - perfect square expansion (also called the square of a sum or difference), factorising the difference of 2 perfect sqares (DOPS), and factorising the sum or difference of 2 perfect cubes.