# B28 Maths Tutor

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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.

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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.

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#### Mental Maths tricks

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I’ve put this together to help trainee teachers hone their skills for the QTS Numeracy test, but it’s full of little tricks that will help in everyday life too, so it’s relevant to everyone really. Have uploaded both the editable PowerPoint file and a slideshow version suitable for upload to a VLE.

#### Numerical integration handout: trapezium rule, mid-ordinate rule, Simpson's rule

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A single-page handout introducing and summarising the three numerical integration techniques required for The Level 3 BTEC in Engineering (Unit 7: Calculus). May also be useful for other courses.

#### Shapes and equations

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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.

#### Problems for Higher GCSE students

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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.

#### Angle pile-up for GCSE (Foundation/Higher)

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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.

#### GCSE percentages revision activity - card match and mixed practice questions.

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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.

#### Basic dimensional analysis OR Getting the units and formula right!

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A short PowerPoint to highlight the connection between formulae and units. Dimensional analysis isn’t explicitly on the GCSE or A-level specification these days, but grasping the basics can really help a student to to use the right units or spot mistakes in their formulae. Deals with speed, density and pressure triangles and the associated units, then goes on to look at what constitutes suitable formulae for length, area and volume. The second half of the file consists of handout versions of the slides that the students can fill in as you go along; I suggest printing four slides to an A4 page.

#### How many lights for my tree?

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A Christmas-themed problem for Year 10/11 (the last part of the extension task requires proportionality to have been covered). High-ability Y9s should also be able to have a bash at most of it.

#### Y10/11 Trigonometry summary

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Powerpoint covering key points of this topic - including a Pythagoras and SOHCAHTOA recap, special angles, sine rule, cosine rule, area of a triangle, and which rule to use when. Can be used in lessons then printed out as a summary / revision aid for students at the end of the topic.

#### Core 1 & Core 2 treasure hunts (AQA)

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Treasure hunt revision activities inspired by a similar Core 4 one that I downloaded some years ago from a TES contributor... but this one has the twist of two possible answers to choose from for each question, which prevents the students from getting the last two or three by process of elimination instead of actually working them out. Because they just put the appropriate letters in the boxes, it also makes it really easy to check answers. It does have to be explained quite carefully though! Will typically take a team of 2-3 students about 45-60 minutes to complete, though some manage it in 20-25. Tell each team to start at a different question as this will reduce bottlenecks and copying! Written for the AQA spec but should be fine to use for Edexcel or other boards for summer revision, once both C1 and C2 modules have been covered.

#### Domain and range of composite functions

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This PowerPoint uses a golf club manufacturing analogy to introduce the idea of restricting the range of the nested function so that the “outer” function can use all of its outputs. Also covers range of composite functions. Also included is a worksheet with a more basic exercise on composite functions followed by a few practice questions on domain and range of composite functions. Written for A-level Maths. Requires prior knowledge of composite functions, domain and range.

#### Quadratics practice questions for GCSE and A-level

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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.