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.

Free Resources:

Higher Maths Question and Answer Key Facts booklet (see other levels of booklet here)
SQA Exam Question Bank: Higher Maths (a database of all past exam questions, including questions from the old Higher syllabus going back to the 1990s)

Resources that can be purchased in our Online Store:

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

Higher Maths Revision Notes (cost: £45 for schools/colleges/tutors, £10 for individual learners, parents or carers. Bulk discount available if purchasing more than one level.)

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

Wave function solver - quickly and automatically solve any question involving a wave function expression by inputting the coefficients of sinx and cosx.
Dot (scalar) product and cross (vector) product solver - input two or three vectors a, b, c and automatically get a.b and a × b and b.c etc... Saves repeated determinant calculations
Angles between vectors:
- Angle between vectors from coordinates solver - input three 3d coordinates A, B and C and automatically get the angles ABC, ACB and BAC.
- Angle between vectors solver - input two or three vectors and get the angle(s) between them.

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	Dot (scalar) product and cross (vector) product solver - input two or three vectors a, b, c and automatically get a.b and a × b and b.c etc... Saves repeated determinant calculations Angle between vectors solver - input three 3d coordinates A, B and C and automatically get the angles ABC, ACB and BAC.
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

Looking for maths tutoring? Saturday School Scotland offer tutoring for National 5 and Higher Mathematics and use Dynamic Maths revision notes