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Higher Mathematics

This page contains free Dynamic Worksheets relating to the Higher Mathematics course. If you want resources for other levels of course, go to our Free Resources homepage.

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These are the only resources on this site that require payment. Every other resource listed is entirely free.

Free Solver Spreadsheets (easy ways for teachers to check answers to questions):

Free Dynamic Worksheets covering specific topics at this level:

Outcome Topic(s) Worksheet(s)
Non-calculator topics   No content yet
All Units - reasoning skills (#2.1, #2.2) Choosing a strategy; explaining a solution No content yet
Expressions and Functions Unit: Assessment Standard 1.1 Logarithms, Exponentials No content yet
Expressions and Functions Unit: Assessment Standard 1.2 Trigonometric Expressions
  • Wave function solver - quickly and automatically solve any question involving a wave function expression by inputting the coefficients of sinx and cosx.
  • Trig-10: Wave function core skill - solving simultaneous equations of the form ksina=b, kcosa=c (options to choose whether answers are to be in degrees, radians or either)
  • Trig-11: Wave function exam style - expressing mcosx + nsinx in the form acos(x+a), asin(x-a) etc... (options to choose which of the four forms of solution to choose; and whether answers are to be in degrees, radians or either)
Expressions and Functions Unit: Assessment Standard 1.3 Functions
  • Quadratics-06: Completing the square (options to allow coefficients of x² and to avoid fractional answers)
Expressions and Functions Unit: Assessment Standard 1.4 Vectors
Relationships and Calculus Unit: Assessment Standard 1.1 Polynomials and Quadratics No content yet
Relationships and Calculus Unit: Assessment Standard 1.2 Trigonometric Equations No content yet
Relationships and Calculus Unit: Assessment Standard 1.3 Differentiation No content yet
Relationships and Calculus Unit: Assessment Standard 1.4 Integration No content yet
Applications Unit: Assessment Standard 1.1 Straight Lines, Triangles
  • StraightLine-01: (revision from National 5) find the gradient between two coordinate points (option to choose whether gradients are allowed to be whole number, fractional, positive, integer etc)
  • StraightLine-03: (revision from National 5) find the equation of a line between two points using y – b = m (x – a) (option to choose whether gradients are allowed to be whole number, fractional, positive, integer etc)
  • Coordinates-01a: midpoint of two coordinates without a diagram (option to decide whether to allow negatives, halves or decimals)
Applications Unit: Assessment Standard 1.2 Circles No content yet
Applications Unit: Assessment Standard 1.3 Recurrence Relations No content yet
Applications Unit: Assessment Standard 1.4 Optimisation, Area No content yet