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A worksheet of practice questions on everything to do with Higher Functions. domain and range max value of a function inverse functions tangent to a function showing a function is always positive sketch of a function differentiating a function quadratic inequalities

A write-on worksheet with 18 short questions revising exact values of trigonometry, Most questions simple e.g. sin(60) and also includes angles above 90 degrees, radians and a few questions on inverse trig. Solutions at the end.

Some revision questions on the topics my Higher Pupils found tricky this year log equations (e.g. cooling water, and algebra with logs) trig equations (algebra and wave equation) integration (polynomials and trig) There’s also a practice test which I took from somewhere and typed up solutions. I just used it as revision.

First homework covering Integration (polynomials and simple trig, area between curves) Revision (functions, circles, trig graphs, sequences) Edit: added second longer revision sheet covering polynomials trig calculus Full solutions included

A thorough test of differentiation skills. Covers differentiating polynomials and trig (chain rule but no product or quotient rule), tangents and stationary points. I’ve included the original homework, a version with hints (that my class needed) and full solutions.

Several revision Powerpoints and mixed revision worksheets. Many topics covered but in particular Binomial Theorem, Complex Numbers, Partial Fractions, Euclid and Proof. All with either short answers or full solutions Includes topic-specific revision material on the following topics, as Powerpoints and PDFs. Binomial Theorem Complex Numbers Binomial Theorem and Complex Numbers Loci of Complex Numbers Matrices Number Theory Partial Fractions Indices (revision of easier material to help with binomial theorem) Sequences

A set of revision questions involving bearings and then bearings with trigonometry - something pupils usually need a lot of practice on. Edit: added solutions October 2024

A bumper set of National 5 Maths resources grouped by topic. Five sets of Questions by Topic Four sets of Revision questions by Topic Whole Course Topic by Topic More Whole Course Topic by Topic Example Questions and Answers Covers everything in National 5: Fractions, Percentages, Inequalities, Straight Line, Brackets, Rearranging equations, Simultaneous equations, Area and perimeter, Function notation, Arcs and sectors, Volume, Pythagoras, Similarity, Quadratics, Trigonometry All provided with solutions

A two page Power Point with questions revising arcs and sectors.

Two Powerpoint slides of more quadratic problems - e.g. path of a projectile, minimum area etc. Answers included. Edit: added a further Quadratic in context question as a PDF

Three challenging homeworks for Advanced Higher Maths covering the following topics Proof by Induction (lots of this) Direct proof Proof by Contradiction Counterexamples Proof by contrapositive All provided with full worked solutions

A mixed homework with questions on arithmetic and geometric sequences, as well as practice complex numbers, binomial theorem and Gaussian elimination. Full solutions included

Three homeworks and a set of extended questions on the topics of Expansions with the Binomial Theorem Using Partial Fractions Complex Numbers, operations, polynomials, Argand diagrams and De Moivres Theorem All provided with comprehensive solutions

At last! An explanation for why mathematicians like Radians. Divided into six categories Pi is great Rotation Speed Drawing Graphs Calculus Sine expansion Formula Spherical Trigonometry Includes short questions on each category

A worksheet with explanations then questions on radians. Includes converting to and from degrees.

A one page Powerpoint using 3D coordinates to introduce how to find the distance from one corner to the opposite in a cuboid.

A collection of typical Proof By Inductions, around 100 in total. Very useful as a teacher if you are looking for examples to use. Includes all the main categories plus a few unusual ones. They are grouped by category: Divisibility, Greater Than, Summation, Recurrence Relationships, Matrices, Calculus, Fibonacci, Miscellaneous, Geometry, Important Theorems, Extensions and Paradoxes Includes sources for even more example proofs.

A series of 17 one-page handouts each with explanations, examples then questions. Covers Numbers, Negatives, Fractions, Percentages, Algebra. For lower ability classes I print these out and they stick them in their jotters. The topics are: Types of Number, Factors, Powers, Prime Factors, Negatives adding and subtracting, Negatives multiplying and dividing, Fractions of an amount, Equivalent fractions, Mixed numbers, Multiplying and Dividing fractions, Adding and subtracting fractions, Finding percentages, Fractions decimals percentages, Substitution, Multiplying Brackets, Simplifying, Solving Equations)

A fun lesson that introduces Graph Theory through the example of Facebook. The Powerpoint introduces it and then the worksheet lets them practice. Key terms learned are: edges, vertices, degree, connected.

A series of examples and full solutions on the following topics - Volume of a Prism (cuboids, cylinders and triangular prisms) - Surface Area of a Prism (cuboids, cylinders and other prisms)