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

Worksheets in this category assist provide students with an understanding of analytical geometry through exercises involving linear and quadratic functions,

Worksheet Name	Files
Finding Gradient Given Two Points		Given two points, students calculate the gradient (slope) of a line using the formula m = (y-y₁)/(x-x₁).
Equation to a Line: Given Slope & One Point		Provides practice in finding the equation to a straight line given the gradient (slope) of a line and the co-ordinates of a point on the line, using the formula y-yâ‚ = m(x-xâ‚).
Equation to a Line: Given Two Points		Provides practice in finding the equation to a straight line given the co-ordinates of two points on the line. Students first calculate the gradient, then apply the formula y-yâ‚ = m(x-xâ‚).
Equations of Perpendicular Lines		Provides practice in finding the equation of a line which is perpendicular (at right angles) to a given line, and passes through a given point.
Equations of Parallel Lines		Provides practice in finding the equation of a line which is parallel to a given line, and passes through a given point.
Midpoint of a Line Segment		Provides students with practice in finding the co-ordinates of the midpoint between two points on a cartesian plane.
Distance Between Two Points		Provides students with practice in finding the distance between two points on a cartesian plane using the distance formula.
Quadratic Equations: Plotting Points & Graphing		Given a quadratic equation, students complete a table of values to find the co-ordinates of points on the line. Students then plot these lines on the axes provided.
Quadratic Equations: Curve Sketching		Give a quadratic equation, students are required to find the zeroes, the turning point, and the y-intercept of the graph of the equation. These points are plotted onto a set of axes for students to sketch the function.
Critical Points		Provides practice in determining the position and nature of stationary points including maximums, minimums and points of inflection.
Tangents & Normals to Cubics		Provides practice in finding the equation to a tangent or normal to a cubic function given a particular value of x.
Tangents & Normals to Quadratics		Provides practice in finding the equation to a tangent or normal to quadratic functions (parabolas) given a particular value of x.
Tangents & Normals to Trig Functions		Provides practice in finding the equation to a tangent or normal to a periodic (trig) function given a particular value of x.
Transformation of Periodic Functions: DEMONSTRATION		Ideal for mulitmedia projection, this worksheet shows shows how the graph of a periodic (trig) functions of the form y = A sin (Bx + C) + D or y = A cos (Bx + C) + D is transformed as the values of A, B, C and D are changed. It gives students a visual understanding of Amplitude, Period/Frequency, Phase Shift and Vertical Shift.