A worksheet to practise finding missing angles in bearings questions using triangle properties, corresponding angles and alternate angles. Answers are included. Updated on 13 Jan 2018 with new extension questions.

A worksheet of non-calculator trigonometry questions which practise the use of the exact values for sin, cos and tan of 0, 30, 45, 60 and 90 degrees. Includes finding other exact values, area of a triangle, cosine rule and solving trig. equations. Answers are included (and corrected from the earlier version).

A set of pay slips to complete by first calculating the (UK) Income Tax and National Insurance contributions (using basic rate bands from 2017). Suitable for National 5 Lifeskills Mathematics or other finance-related courses.

Worksheet to recognise the symmetry and periodicity of trigonometric functions and use the graphs of sin x and cos x to find equal values and compare points on the graphs. Designed to develop a conceptual understanding before moving onto using more procedural methods such as the four quadrant/ASTC/CAST methods. Includes answers.

Worksheet to develop fluency moving between algebraic and graphical representations of a quadratic function and a parabola. Requires both completing the square to sketch a parabola, and writing the equation of a parabola in vertex form. Extends with negative x-squared coefficients and then one example of a non-unitary x-squared coefficient.

A worksheet of questions that practise finding square roots of a number using its prime factorisation (prime decomposition). Extends to cube roots and related problems. Answers are included.

Worksheet to practice using Pythagoras’ Theorem (or the distance formula) to find the distance between points. Some straightforward initial questions are followed by some that require a little more explanation or use of the converse of Pythagoras. Answers are included.

Great for making sure students check their answers after each question. Two versions are available: one with only integer solutions, and a harder one with some fractional answers. Updated versions! Not jokes, but messages about the history of the symbols. The two solutions are: (In 1557) "Robert Recorde invented the equals sign" and "The plus sign is short for the latin et" Inspired by the collect a joke resources from numberloving.co.uk

Worksheet to reinforce the idea the simplifying fractions is achieved by dividing the numerator and denominator by a common factor. Can be used to practice simplifying by "cross-cancelling" or as an introduction or reminder of cancelling common factors before starting on algebraic fractions. All of the answers fit into recognisable number sequences for easy marking, and the extension is to make up examples that continue the sequence.

A set of ‘increasingly difficult’ questions to first recap finding the area of a triangle and then blend this with a revision of Pythagoras’ Theorem and right-angled trigonometry. The last few questions could be used as a lead-in to introducing or deriving the general formula for the area of a triangle given two sides and the included angle. Answers are included on the second page.

A worksheet to get students doing trigonometry before they've been taught it. First, recap similarity and get students measuring 30° triangles to find the opposite/hypotenuse ratio, then extend this to 40° and 60° triangles to get the beginnings of a table of trigonometric ratios. Then use this worksheet to practice selecting and using these few ratios. Further extension questions: What do you think the ratio would be for 50°? How about 70°? (hint: plot a graph) What happens at 90°?

A worksheet to practice finding the volume of a cuboid, but with examples chosen to encourage discussion of efficient calculation methods (most can be done mentally, with a little thought). Also leads to useful reminders of place value, decimals and fractions. Inspired by Dave Taylor's Increasingly Difficult Questions (http://taylorda01.weebly.com/increasingly-difficult-questions.html). Answers are included.

A worksheet to practise testing whether points lie on a line. The letters of the odd one out each time should spell out CARTESIAN PLOT. Be ready to discuss what that might mean!

Practice solving quadratic equations by factorising (a mix of trinomials and common factor). Pupils check their own answers by using their solutions to decode some hidden clues (relating to Bletchley Park). Answers are included.

Practise making scale drawings with a ruler and protractor to answer questions about missing lengths. Questions include rectilinear shapes, pyramids, angles of elevation and depression and multi-stage journeys. No bearings are needed (only compass directions), but the answer to the final questions can be used to motivate the need to describe directions more precisely than with compass directions. Answers are provided.

An end-of-year general knowledge quiz themed around mathematics topics and involving some - but not much! - maths. Questions and topics can be selected as appropriate - it should be ideal for a range of ages and abilities. Perfect for that last lesson of term! Questions are designed to be read out from the Word document, with picture rounds displayed from the accompanying Powerpoint.

Find the perimeters of shapes where the lengths are decimals, including working backwards to find missing lengths. Ideal for practising decimal addition and subtraction in context. Some questions can be made easier by considering the order of the calculations or using simple multiplication, but the sheet is accessible without needing those. The answers are included.

Practise the correct order of operations (BODMAS/BIDMAS/PEMDAS) with decimal calculations. These collect-a-joke style sheets are great for making sure that pupils check each answer before moving on. The joke is “I didn’t use to like maths but one day I saw that decimals had a point” (Updated Dec 2019 with some distractors to check for common errors and make the answer harder to guess.)

A worksheet to practise finding a missing length in a rectangle or triangle given the area, leading to finding missing lengths in composite shapes, and some problem-solving. Answers are included.

A presentation with a mixture of historical and mathematical facts about pi and questions to calculate approximations to pi. There should be something here appropriate for most secondary year groups.

A worksheet of increasingly difficult questions, all relating to multiplying expressions with indices (exponents). This could be particularly useful for later revision, since some questions also relate to fractions, surds (radicals), factorising and solving quadratic equations.