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B28 Maths Tutor

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(based on 432 reviews)

Former teacher now specialising in private tuition and offering online courses at https://mathscourses.co.uk. On TES I have a wide range of resources for GCSE and A-level Maths.

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Former teacher now specialising in private tuition and offering online courses at https://mathscourses.co.uk. On TES I have a wide range of resources for GCSE and A-level Maths.
Circle theorems investigative worksheet
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Circle theorems investigative worksheet

(2)
A worksheet that takes the student through most of the circle theorems they will need for GCSE. Includes opposite angles in a cyclic quadrilateral; angle in a semicircle; angles in the same segment; angles at centre vs at circumference; a tangents activity; and a few practice questions. Doesn't include alternate segment theorem though, nor intersecting chords theorem (on Edexcel IGCSE 2009 spec).
Problems for Higher GCSE students
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Problems for Higher GCSE students

(3)
A selection of problems from various sources, most of them quite challenging, for use with Higher GCSE students. Some only require Foundation skills (indicated in top right-hand corner of question slide) so they could also be used with Foundation students at a pinch. Each one is over two slides, with the first slide giving hints and the second giving the solution. The hints and solutions are all animated so that they are only revealed a line/paragraph at a time. Could be used in class or uploaded onto a VLE for keen students to use for extra challenge.
Advanced trigonometry for Higher GCSE
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Advanced trigonometry for Higher GCSE

(5)
Updated 28/3/18 A pair of PowerPoints covering all the Foundation and Higher content for GCSE trigonometry. (No 3D work though.) Foundation PPt starts with a brief recap of labelling conventions and Pythagoras, then covers SOHCAHTOA in some detail, including exact trig values (for acute angles only), and gives a brief introduction to bearings and angles of elevation and depression. Higher PPt starts with a brief recap of labelling conventions, Pythagoras (including distance between two points, linking to straight lines) and SOHCAHTOA, then goes on to cover exact trig values for special angles (including using the graphs to find different angles with the same sin/cos/tan), area of a triangle (from 2 sides & enclosed angle), sine rule and cosine rule. The Higher PPt could also be useful for the early parts of trig at A-level. Page/exercise references are to the Elmwood Higher GCSE Maths 4-9 book (which is about half the price of the better-known text books and in my opinion just as good), but can easily be replaced/removed.
A-level formulae to learn - poster or handout
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A-level formulae to learn - poster or handout

(2)
This is based on a poster that AQA published but is much gentler on the print budget, as well as being (in my opinion) easier to read than the original white and purple text on an orange background. I’ve added a couple of bits (e.g. equation of a circle, product rule in terms of u and v as well as the original f and g) and indicated which formulae come up in each year of the course, but it’s mostly the same as the original. As well as the A4 version I’ve included a “2-up” version with two A5 copies per A4 sheet. New version uploaded 10/7/19 with a correction to the Integration section.
Quadratics practice questions for GCSE and A-level
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Quadratics practice questions for GCSE and A-level

(0)
Revision questions covering the whole of the Quadratics topic for both GCSE and A-level - a single A4 page for each. The GCSE version includes indications of the approximate grade level for each question. There’s a lot of overlap between the versions, hence only one set of solutions; these match the numbering on the GCSE version but there’s only one question on the A-level sheet that isn’t on the GCSE one, and solutions to that are included.
Discrete probability distributions (Discrete random variables)
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Discrete probability distributions (Discrete random variables)

(1)
A worksheet covering the subtopic on discrete probability distributions for the first year of A-level Maths. Includes a general intro, tabulating a probability distribution and other forms in which it might be defined, cumulative distribution function, expected value of a distribution. You’ll have to look elsewhere for tricky questions but this covers the need-to-knows. Answers are on page 3 but I’ve also included a set of detailed solutions.
Angle pile-up for GCSE (Foundation/Higher)
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Angle pile-up for GCSE (Foundation/Higher)

(2)
Inspired by another similar resource found on TES, I’ve done one of my own. This one uses the rules on angles in parallel lines, different kinds of triangles and polygons, with parallel and equal lines indicated on the diagram. Starts off pretty straightforward but gets trickier towards the end. Second slide is animated with the solutions. A copy of the problem sheet is also provided in PDF form for ease of printing.
Shapes and equations
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Shapes and equations

(1)
Worksheet of questions requiring the use of algebra skills to form and solve an equation relating to the area or perimeter of, or angles in, a triangle or quadrilateral. A couple of the later questions also require use of Pythagoras’ theorem. Answers on page 2, and full worked solutions also provided.
Working with loci
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Working with loci

(0)
Animated PowerPoint taking the student through the construction of various loci: fixed distance from a point fixed distance from a line/rectangle equidistant from two points equidistant from a line … and finishing with a challenge inspired by the Diamond Heist resource that can be found at https://www.tes.com/teaching-resource/loci-diamond-heist-laser-challenge-6328947. Includes a set of printable slides at the end, so the students can construct the loci themselves. I also have a Constructions PowerPoint that you might find helpful if the students need some guidance for the bits that require them to use compasses: https://www.tes.com/teaching-resource/constructions-using-ruler-and-compasses-11521910
GCSE percentages revision activity - card match and mixed practice questions.
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GCSE percentages revision activity - card match and mixed practice questions.

(5)
An activity to revise all the types of percentage questions that come up in GCSE (suitable for either tier). I wrote this because I was struggling to find exercises where all the different types of percentage questions were mixed up. There are 9 question types identified, with non-calc and calculator methods for each (though reverse compound percentage and “find n” type questions are unlikely to come up on a non-calculator paper). Then there are 26 mixed questions, which can be given as either cards or a handout. Once the types and methods have been matched (these are in the same order on the sheets so it’s easy to skip this step if desired), the questions can be matched by type and then answered. The answer section confirms question types as well as answers. More accomplished students might prefer to jump straight in and start working through the questions immediately, but those who have difficulty identifying what a question is asking for should find the matching process helpful. A possible extension for early finishers would be to have them write additional questions of their own to challenge their peers.
GCSE Maths: Transformations - Powerpoint Lesson
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GCSE Maths: Transformations - Powerpoint Lesson

(160)
Interactive PowerPoint for GCSE Maths: covers translation, reflection, rotation and enlargement. Works best when projected onto a whiteboard (not necessarily an interactive one) but can also be viewed/used on screen by individuals. New improved version (Oct 2017) includes enlargement with negative scale factor, invariant points and an accompanying worksheet (in both Word and PDF format). There are two versions of the PowerPoint: the (editable) original and a slideshow version (identical in content) suitable for upload to your VLE for student use. May 2018 - error on first diagram (a discrepancy from the slide it was supposed to match) on worksheet corrected. Apr 2020 - added vertical and horizontal arrows to make angle of rotation easier to see.