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Nathaniel Joyce

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I am a STEM Tutor, on this site you will find lesson plans, visual aids, quizzes, tests and more that I use in my lessons

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I am a STEM Tutor, on this site you will find lesson plans, visual aids, quizzes, tests and more that I use in my lessons
AS further maths complex numbers test
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AS further maths complex numbers test

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This is a short 10 question test aimed at covering all of the skills needed for AS level further maths. Aimed at OCR MEI this test is useful to all teachers that teach the basics of complex numbers including Argand diagrams, basic algebra involving complex numbers, square rooting a complex number not using De Moivre’s and realising fractions where the denominator is complex. This test is useful practice for anyone studying further maths and will boost grades particularly for lower ability students.
A level Maths Sequences and Series Test
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A level Maths Sequences and Series Test

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This is a short test designed for students who have just finished studying the sequences and series topic in the second year of A level Maths. Every exam board should find this useful and this test is good practice both just after finishing the topic and months later in revision for the exams. Ensuring that all students have the skills needed to answer the questions in papers regarding this area of maths.
AS Further Maths Matrices Basics Test
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AS Further Maths Matrices Basics Test

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This is a short test aimed at both AS and A level students covering the basics of Matrices. These reasonably easy questions aimed at just reminding students of the basics of matrices at AS level covering transformations, multiplying matrices by hand, invariant lines, simultaneous equations and inverses. this test is perfect as a short reminder and should be beneficial to most students
A Level Maths Basic Skills Test
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A Level Maths Basic Skills Test

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Short test designed to assess the skill of new students involves the basics such as indicies, surds, quadratics, and straight lines. Perfect for getting back into maths at the start of A level
A level Maths Partial Fractions test
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A level Maths Partial Fractions test

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Here is a short test covering everything relating to partial fractions and the integrations that go with them. The test is 32 marks with questions of varying difficulty built to practice the full range of questions particularly aimed at AQA A level maths but works with every other board just as well.
A level Maths inequalities test
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A level Maths inequalities test

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This is a short test aimed at covering the simple inequalities questions that trip some students up at the start. This test does include a question that features exponentials so knowledge of that will be required to answer every question.
A level Maths Polynomial Test
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A level Maths Polynomial Test

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This short subject test covers all of the basics of polynomials covering factor theorem, remainder theorem, sketching and factorising. This is perfect for concluding the topic at the start of first year.
A level Maths Binomial expansion test
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A level Maths Binomial expansion test

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Here is a short end of topic test for second year A level maths, covering both AS and A level content regarding binomial expansion including a link to integration. All students should be able to attempt this test and improve.
GCSE Maths Coordinate Geometry Test
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GCSE Maths Coordinate Geometry Test

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This is a short 26 mark test designed as an end of topic recap for everything in coordinate geometry inculding some simultaneous equations quadratics and even a fun circle challenge for the most able students. this test is accessible by all and will be able to raise the grades of every student.
A level Maths Graph sketching test
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A level Maths Graph sketching test

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This test covers all of the standard functions needed for both A level and AS level mathematics. Including polynomials, circles, reciprocals, exponentials and all of the trig graphs. Any student will benefit from this test although those with a graphical calculator will get pretty much full marks with not much effort.
A level Further Maths Hyperbolics test
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A level Further Maths Hyperbolics test

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a short 40 mark test designed to cover everything related to hyperbolics with questions ranging from solving hyperbolic equations to maclaurin series and advanced integration involving hyperbolics. this test is perfect for raising the grades of lower and higher ability students alike
A level Maths Pure Maths test
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A level Maths Pure Maths test

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This is a longer 82 mark test designed to test students in a range of pure maths topics. Aimed at AQA but applicable to all students this test is good practice for the basics and slightly less basic topics as well as standard questions such as derive the compound angle formulae and differentiate sin(x).
Differentiation Lessons Year 1 A Level
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Differentiation Lessons Year 1 A Level

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A PowerPoint containing everything you need to teach your Year 1 Students differentiation across all exam boards. Full of examples, questions and context, it’s the perfect resource to introduce them to calculus
Binomial Expansion Revision PowerPoint
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Binomial Expansion Revision PowerPoint

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An 18 Slide PowerPoint designed for A Level Year 1, AS Maths or Level 3 Free Standing Mathematics. Designed to identify misconceptions and jog memory, it covers the following topics with explanations, examples, questions and diagrams: Pascal’s Triangle in the Binomial Expansion Using Combinations to find the Binomial Expansion Finding the Coefficient Finding the Term Independent of X Factorials Permutations Combinations Probability involving Combinations Selections of Selections
Polynomials Revision PowerPoint
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Polynomials Revision PowerPoint

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An 18 Slide PowerPoint containing diagrams, explanations, examples and questions designed to review the taught content and identify misconceptions. Made specifically for AS/Year 1 A Level Maths, this resource can also be used for the Level 3 Free Standing Mathematics Qualification. Topics Included: Adding and Subtracting Polynomials Multiplying and Expanding Polynomials Polynomial Graphs Dividing Polynomials Factorising Polynomials Factor Theorem
AS/A Level Maths - Coordinate Geometry Revision PowerPoint
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AS/A Level Maths - Coordinate Geometry Revision PowerPoint

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A PowerPoint covering the Year 1 knowledge for Coordinate Geometry, including examples, questions and explanation. This resource can be used as a recap before beginning related topics in the second year or for AS/End Of Year Exam Students to help them identify misconceptions before the exam
Quadratics Revision PowerPoint - GCSE/AS/A Level Maths
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Quadratics Revision PowerPoint - GCSE/AS/A Level Maths

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A 24 slide PowerPoint covering the entire knowledge and techniques for both GCSE and AS/Year 1 A level Maths. Complete with questions, explanations and diagrams, this resource can be used to quickly revisit the topic and identify misconceptions in class, or be shown just before the exam to tighten methods.