A bundle of 12 worksheets (with detailed solutions) on Coordinate topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: Midpoint of a line segment The distance between two points on a line Straight lines Gradient and y-intercept of a straight line Gradient of a straight line passing through two points Equation of a line given its gradient and a point Parallel and perpendicular lines Equation of a line through a point and parallel to a given line Equation of a line through a point and perpendicular to a given line Graphs of linear equations Special Cases of Linear Functions Solving simultaneous equations graphically

A collection of four worksheets on determining the equation of a line in the following cases: given its gradient and a point on it, given point and a line to which is parallel, given a point on it and a line to which is perpendicular and given two points on it. Detailed solutions are included.

A collection of three worksheets on determining the equation of a straight line given its gradient and a point on it. Solutions are provided.

A collection of 5 worksheets on factorising quadratic expressions in which the coefficient of the leading term is one. Each of them focuses on one of the following cases: Quadratic expressions with a=1 and b, c > 0 Quadratic expressions with a=1, b negative and c positive Quadratic expressions with a=1 and c less than 0 Quadratic expressions with a=1 and b, c less than zero Quadratic expressions with a=1, b less than 0 and c greater than 0 Solutions are provided.

Three worksheets on factorising quadratic expressions with the coefficient of the leading term being one . One with expressions in which the other two coefficients are greater than zero, one in which the coefficient of x is less than zero and the constant term is greater than zero and one in which the constant term is less than zero. Solutions are provided.

A collection of three worksheets an exponential functions and exponential equations. An introductory worksheet on exponential functions with exercises that include stating whether a given function is exponential or not, evaluating an exponential function at some values and determining the constant term of an exponential function given a point on its graph. A worksheet on graphing exponential functions by transforming the standard exponential functions e^x and e^-x. A worksheet on solving exponential equations of the form a^x=b. Detailed solutions are included.

A collection of three worksheets. Two worksheets on the discriminant of a quadratic equation with exercises for 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 and one worksheet on solving quadratic equations using the quadratic formula… Solutions are provided.