Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
A worksheet on determining whether a given mapping diagram represents a function or not and in the case of a function stating its domain and range. Solutions are provided.
Three worksheets on algebraic fractions. Two on adding and subtracting algebraic fractions with introductory and harder exercises on this topic and a worksheet on equations involving algebraic fractions. Detailed solutions are provided.
Three worksheets on inequalities. One on on linear inequalities and two on quadratic inequalities. Detailed solutions are provided. Good practice for GCSE students.
A worksheet on determining the sign of a trinomial in each interval by using the real roots that it has and the sign of its leading coefficient and solving quadratic inequalities using this method. Solutions are provided.
Three worksheets on parabolas. One on transforming parabolas: The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^given their graphs. One on the parabola y=ax^2: The exercises include identifying whether a given parabola of this form has a maximum or a minimum and matching given graphs of such parabolas to their equations. And one on the discriminant of a quadratic equation:The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.
A worksheet on the discriminant of a quadratic equation. The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.
A worksheet on the parabola y=ax^2. The exercises include identifying whether a given parabola of this form has a maximum or a minimum and matching given graphs of such parabolas to their equations. Solutions are provided.
A worksheet on transforming parabolas. The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^2 given their graphs. Solutions are provided.
Three worksheets on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.
A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.
A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.
A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.
A worksheet on rational exponents. The exercises include converting written in exponential form to radical form and vice versa and simplifying powers with rational exponents. Solutions are provided.
A worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centres. Detailed solutions are included.
A worksheet on rationalising the denominator of a fraction when it is a surd, with harder exercises. Detailed solutions are included. Good for A level students.
A worksheet on rational exponents. The exercises include converting written in exponential form to radical form and vice versa and simplifying powers with rational exponents. Solutions are provided.
A worksheet on evaluating the nth (2nd to 6th) roots of given numbers. Good for introduction to this topic. Solutions are provided. Good practice for GCSE/IGCSE students.
