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Tim Silvester’s Maths Resources

Average Rating4.52
(based on 104 reviews)

I have written a range of free and premium resources to assess and develop student understanding and to help students to prepare for examinations. My homework resources cover a broad range of the curriculum and they are carefully written and presented to be both professional and effective in aiding student progress. All assignments have answer papers provided and monitoring documents are available to record and analyse student performance.

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I have written a range of free and premium resources to assess and develop student understanding and to help students to prepare for examinations. My homework resources cover a broad range of the curriculum and they are carefully written and presented to be both professional and effective in aiding student progress. All assignments have answer papers provided and monitoring documents are available to record and analyse student performance.
Free Key Stage 3 (and Key Stage 2) homework papers 1 to 5
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Free Key Stage 3 (and Key Stage 2) homework papers 1 to 5

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If you like these, consider purchasing my full set of 22 papers available through my shop! These are the first 5 papers of my series, best used as SAT homework practice, but easily used to challenge students in class, cover a comprehensive range of the curriculum at Key Stages 2 and 3. Each page contains questions of increasing difficulty, and each page correlates closely to the equivalent grade of work for the new GCSE specifications (Page 2 is grade 2 content). The papers are write-on. I print them as an A3 folded booklet and ask students to choose any 4 consecutive pages - this allows students to differentiate for themselves, although I will sometimes give them guidance. The papers are quick and easy to mark and they evaluate general understanding, ability to interpret, and ability to derive answers using a range of taught methods. They don't cover 'use and application'. My Pure, Statistics and Geometry series, and my topic-based series both do that.
Maths Practice for ages 10 to 14 Bundle
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Maths Practice for ages 10 to 14 Bundle

13 Resources
This bundle contains a wealth of revision work including write-on practice papers with SAT-style questions and worksheets that cover the full range of the Curriculum. A useful pack for students preparing for summer assessments and wishing to hone their skills, knowledge and understanding!
Function Machines and Inverse Functions
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Function Machines and Inverse Functions

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This worksheet comprises 3 sections over 3 pages with an answer sheet on the fourth page. It can be printed to a single A3 folded booklet. Section A provides 20 function machines with up to 3 operations to be converted into equations. An example is provided first. Section B provides 12 equations with up to 3 steps to be converted into function machines. An example is provided first. Section C provides 18 functions to be converted into function machines so that inverse function machines can be drawn, and finally the inverse function can be written. The sections contain plenty of practice and will provide at least 2 to 3 lessons of independent study. Each section is intended to develop student understanding towards the ability to write inverse functions. The relationship between a function and its inverse can then be discussed.
Monitoring document for Statistics, Pure and Geometry write on examination practice assignments
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Monitoring document for Statistics, Pure and Geometry write on examination practice assignments

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Results can be recorded for each of the 12 assignments for the three categories; Statistics, Pure and Geometry. By inputting results for each question on the paper in the worksheet labelled with the number of each assignment, and specifying whether the student completed the Foundation or Higher paper, overall results are calculated (with a grade based on the new GCSE specification), and topic areas are analysed so that weaknesses can be targeted. Input names for each group in the lead worksheet and these will automatically appear in each subsequent worksheet. Track results over time with this monitoring document. The author has used the series and tracking successfully to ensure sustained success in Mathematics examinations for the students at his College.
Original SAT Maths practice paper for ages 10 to 11 covering levels 3 to 6
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Original SAT Maths practice paper for ages 10 to 11 covering levels 3 to 6

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These write-on papers cover a wide range of problems that are well presented and easy to mark; they comprise non-calculator and calculator assessments with questions ranging in difficulty from old Level 3 to old Level 6 based on the UK levelling system that has now been replaced. While 'levels' have been replaced, the monitoring document provides a means to evaluate the progress of a cohort or class of students, to identify strengths and weaknesses, and to evaluate progress. For the age group, results which are determined as 'level 5c' or above are above national average. Level 6 would indicate 'Gifted and Talented' students in comparison to the year group, and Level 3 would identify students in need of further support and intervention.
The four operations: practice with integers, fractions, decimals, surds, algebraic terms
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The four operations: practice with integers, fractions, decimals, surds, algebraic terms

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This worksheet is a good starter activity, or the basis of a longer lesson. The key aim is to apply a consistent understanding of each of the four operations; addition, subtraction, multiplication and division, regardless of the topic area. For addition, subtraction and division, the 'denomination' of each term needs to be the same. For example; 4a + 2a, 4a - 2a, and 4a / 2a are all straight forward provided we understand that + means 'get some more', - means 'take some away' and divide means 'put into groups of... or piles of'. For multiplication, we can use 'logical language'; eg 2a x 3b = 6ab hence 2 'root3' x 3 'root 5' = 6 'root 3' 'root 5', which of course can be simplified to 6 'root 15'. Further explanation of this approach to the four operations is provided in the Maths 'Help Booklet' which I have authored and is available for free from the TES site.
Working out equivalent fractions and ratios
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Working out equivalent fractions and ratios

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Resource to allow students to practise finding equivalent fractions and ratios, and to encourage students to apply how the process of finding equivalent fractions is the same as the process of finding equivalent ratios
Maths Core Skills Homeworks 2, 3 and 4
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Maths Core Skills Homeworks 2, 3 and 4

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These documents are replicas of the Core Skills 1 model, albeit with different values to keep the students practising the 'core skill' areas of Mathematics that require students to learn methods and understand basic notation. There is no 'use and application' and the worksheets are designed to identify areas of weakness for targeted intervention. They are really useful as cover work, revision work, homework, and targeted class work.
Mathematics for ages 11 to 14 worksheets Compilation 5
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Mathematics for ages 11 to 14 worksheets Compilation 5

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Variety of worksheets covering fractions and the 4 operations, average and spread of data, real life graphs and use of formulae, index notation, 3D shapes, factorising and multiplying out brackets for linear expressions, and solving simultaneous linear equations.
Fractions and the Four Operations homework or revision resource
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Fractions and the Four Operations homework or revision resource

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This resource is accompanied by an answer document. It is aimed at students who have been taught to add, subtract, multiply and divide fractions, and to deal with mixed numbers and improper fractions. The questions include applications within geometry (with perimeter, area and volume) and some surd form, where students will be stretched to apply their basic understanding to wider concepts. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
Perimeter, Area and Volume homework or revision resource
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Perimeter, Area and Volume homework or revision resource

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This resource is accompanied by an answer document. It is aimed at students who have been taught perimeter, area and volume. The questions include work on circles and the need to apply Pythagoras correctly within context. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
Mathematics for ages 11 to 14 worksheets Compilation 6
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Mathematics for ages 11 to 14 worksheets Compilation 6

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A variety of worksheets covering proportions of amounts (including sharing in a given ratio), box method for multiplying, bar charts, stem and leaf diagrams and pie charts, scatter diagrams, transformations, functions and function machines, formulae, and probability.
Averages and range homework or revision resource
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Averages and range homework or revision resource

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This resource is accompanied by an answer document. It is aimed at students who have been taught mean, median, mode, and range. The questions include inter quartile range and they include a variety of statistical diagrams to ensure they are able to interpret data diagrams correctly and extract relevant information for the purposes of statistical analysis. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
Decimals including rounding Homework or Revision resource
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Decimals including rounding Homework or Revision resource

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This resource is accompanied by an answer document. It is aimed at students who have been taught to solve problems involving decimals without a calculator. involving decimals, to round decimals, to calculate bounds, and to convert terminating and recurring decimals to fractions. The questions include work on the four operations, rounding, approximations, calculating with bounds and converting terminating and recurring decimals to fractions. Several different contexts are used, including calculating the mean and working out perimeter and area. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
Factors, Multiples and Primes homework or revision resource
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Factors, Multiples and Primes homework or revision resource

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This resource is accompanied by an answer document. It is aimed at students who have been taught to solve problems involving factors, multiples and primes. The questions include HCF and LCM, squares and cubes, algebraic terms and some proof requiring an understanding of factors. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
Solving Linear Equations homework or revision resource
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Solving Linear Equations homework or revision resource

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This resource is accompanied by an answer document. It is aimed at students who have been taught to solve linear equations algebraically. The questions include solving simultaneous equations (both equations linear) and some applied contexts, where students are asked to model real life using algebraic terms and equations. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
Quadratics homework or revision resource
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Quadratics homework or revision resource

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This resource is accompanied by an answer document. It is aimed at students who have been taught to solve problems involving quadratics, both algebraically and graphically. The questions included require students to be able to plot graphs, factorise, complete the square, use the quadratic formula, understand the meaning of solve f(x) = 0, solve simultaneous equations where one equation is quadratic, solve equations involving quotients which lead to a quadratic, and so on. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
Mathematics ages 11 to 14 worksheets Compilation 3
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Mathematics ages 11 to 14 worksheets Compilation 3

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A variety of practice worksheets covering decimals and box method for multiplying, addition, subtraction and division of decimals, factorising and multiplying out brackets for linear expressions, Pythagoras and basic Trigonometry, proportions of amounts and average and spread with continuous or grouped data.