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Aiming for Grades 7-9
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Aiming for Grades 7-9

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This bundle consists of three booklets with grades 7-9 questions for GCSE Mathematics. Altogether it has 481 pages containing lots of reasoning and problem solving questions for the reformed GCSE Mathematics course. The answer booklets have step-by-step worked solutions and are ideal for independent revision at home. Teachers can use the questions in the booklets either selectively showing examples of possible examination questions or as practice booklets for students to work on in class. The key idea of this resource is that students mark their own work and that they resolve any difficulties they may come across themselves first before asking their teacher. This resource allows for easy but effective differentiation in class as students can do the questions in this booklet independently and at their own pace. There is no need to give each student their own copy; students can download the booklet from their school's VLE and they can do the questions in their exercise book working from an electronic device of their choice.
Numeracy Skills
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Numeracy Skills

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This resource consists of nine simple worksheets, which can be used from Year 5 to Year 9 depending on the students' ability. It has a total of 610 questions, equating to roughly 5 hours of useful numeracy practice. The main aim of the 'Fluency in Numeracy' worksheets in this resource is to show students smart ways to evaluate products and quotients, like for example the halving-doubling method, or using equivalent fractions to make divisions simpler. With the new GCSE (9-1) curriculum, these skills are becoming more important again. The place value topic 'Dividing by Powers of 10' can be tricky for some students and the worksheets in this resource have proven to be a useful way for students to practise many questions in a short space of time. All worksheets come with answers, and the worksheets are also in Word files, which will allow users to come up with their own questions very quickly. I hope you will find this resource useful. Thank you.
Deck of Playing Cards
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Deck of Playing Cards

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A handout for students doing questions on selecting cards from a pack of playing cards. When doing probability, some students have never played card games before, and they do not know what a pack of playing cards looks like. This simple sheet is a sample space, which gives students a comprehensive overview of all the types of cards in a deck of playing cards. This overview can be made smaller on a photocopier such that four of them fit on one A4 sheet of paper, which then can be photocopied. This saves photocopying and paper, and students can stick the small overviews in their exercise books. Before I issue each student with their own copy, I usually organise students in small groups, and give them a pack of playing cards, which they have to lay out on their table in the same way as on the overview. Students who have never used playing cards find this useful. When the playing cards have been laid out, we have a Q&A session on probability questions related to selecting one card from a pack of playing cards. For your convenience, the Word file is included as well, which will allow you to adapt the overview. This is a simple resource, which I hope you will find useful. Please, feel free to leave comments. Thank you.
Aiming for Grades 7-9 Part 1
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Aiming for Grades 7-9 Part 1

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This booklet is part 1 of a three-part series of grades 7, 8 and 9 questions for GCSE Mathematics. It has 99 pages and contains a selection of questions covering the first eight modules of a Scheme of Work. The answer booklet has step-by-step worked solutions and is ideal for independent revision at home. Teachers can use the questions in the booklet either selectively showing examples of possible examination questions or as a practice booklet for students to work on in class. The key idea of this resource is that students mark their own work and that they resolve any difficulties they may come across themselves first before asking their teacher. This resource allows for easy but effective differentiation in class as students can do the questions in this booklet independently and at their own pace. There is no need to give each student their own copy; students can download the booklet from their school's VLE and they can do the questions in their exercise book working from an electronic device of their choice.
Simplifying Algebraic Expressions with Indices
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Simplifying Algebraic Expressions with Indices

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This worksheet has 30 algebraic expressions involving indices and/or surds. By applying the indices rules, the expressions are to be simplified and answers need to be written without negative indices and/or without fractional indices. This worksheet requires a high level of algebraic manipulation. As a tool for Assessment for Learning, teachers can use this worksheet in class or set it for homework once the teaching of this topic has been completed. It can also be made available to students on a school's VLE as a revision tool for independent study. The worksheet is targeted at GCSE students (grades 7 - 9) and AS-level students. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete this worksheet. The worked answers accompanying this worksheet allow the teaching and learning to continue beyond the classroom and GCSE students aiming for grades 8 and 9 will find this a very useful resource. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Inequalities
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Inequalities

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This booklet has 58 questions on inequalities and is a very useful resource for students to practise this topic for the GCSE examination. It starts with easy questions and they gradually increase in difficulty level. There are some unusual inequalities, which may prove to be useful for the new (9-1) GCSE examinations. Also included are questions where students need to shade in regions given a few inequalities, and also the other way around where a region is given and students need to find the inequalities that define the shaded region. The last three questions are applications touching on linear programming. Students will need at least four hours to complete all the questions in this booklet. This resource comes with worked answers and is therefore great for independent revision either in class or at home.
Aiming for Grades 7-9 Part 2
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Aiming for Grades 7-9 Part 2

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This booklet is part 2 of a three-part series of grades 7, 8 and 9 questions for GCSE Mathematics. It has 161 pages and contains a selection of questions covering the second eight modules of a Scheme of Work. The answer booklet has step-by-step worked solutions and is ideal for independent revision at home. Teachers can use the questions in the booklet either selectively showing examples of possible examination questions or as a practice booklet for students to work on in class. The key idea of this resource is that students mark their own work and that they resolve any difficulties they may come across themselves first before asking their teacher. This resource allows for easy but effective differentiation in class as students can do the questions in this booklet independently and at their own pace. There is no need to give each student their own copy; students can download the booklets from their school's VLE and they can do the questions in their exercise book working from an electronic device of their choice.
Aiming for Grades 7-9 Part 3
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Aiming for Grades 7-9 Part 3

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This booklet is part 3 of a three-part series of grades 7, 8 and 9 questions for GCSE Mathematics. It has 221 pages and contains a selection of questions covering the last eight modules of a Scheme of Work. The answer booklet has step-by-step worked solutions and is ideal for independent revision at home. Teachers can use the questions in the booklet either selectively showing examples of possible examination questions or as a practice booklet for students to work on in class. The key idea of this resource is that students mark their own work and that they resolve any difficulties they may come across themselves first before asking their teacher. This resource allows for easy but effective differentiation in class as students can do the questions in this booklet independently and at their own pace. There is no need to give each student their own copy; students can download the booklet from their school's VLE and they can do the questions in their exercise book working from an electronic device of their choice.
Trigonometric Ratios - Unit Circle
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Trigonometric Ratios - Unit Circle

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Trigonometric Ratios – Unit Circle One of the new topics of the reformed GCSE Mathematics (9-1) syllabus is trigonometric ratios: students need to memorise the trig ratios for 0˚, 30˚, 45˚, 60˚ and 90˚. At A-level, students tend to find it difficult to learn these ratios by heart and GCSE students are most likely to struggle even more with this. The 'Unit Circle' shows the trig ratios (sine, cosine and tangent) in context and it has been my experience that students find it much easier to learn these ratios by heart using the unit circle rather than the traditional table used by most teachers. It takes a little bit of time to get used to the ‘Unit Circle’’ as most of us are so used to the table in conjunction with the graphs. However, once you have made the transition, your will see that the students will memorise the trig ratios very quickly. It works best if the ‘Unit Circle’ is used from the very start when the trigonometric ratios are being introduced. This resource consists of 11 pages: a blank ‘Unit Circle’, a completed ‘Unit Circle’ in degrees (both in colour and black and white), a completed ‘Unit Circle’ in radians (both in colour and black and white), four examples on how to find the ratios, using the sine-line, cosine-line and tangent-line, and for GCSE students just the first quadrant blank, completed, in colour and in black and white. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Fluency in Number Work - No Calculator
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Fluency in Number Work - No Calculator

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The reformed GCSE Mathematics (9-1) curriculum demands from students a higher degree of fluency in number work. This worksheet is aimed at showing students a variety of skills to evaluate numerical expressions more effectively and to solve multi-step number work problems more fluently. This worksheet has a total of 100 questions (80 numerical expressions and 20 number problems), involving the four operations, fractions, decimal numbers, percentages, indices, surds, standard form, multiplication factors, proportion, ratio, percentage change, simple interest and compound interest. Most of these questions can be solved in a variety of ways and students should try to pick methods which they feel comfortable with. The worked answers accompanying this worksheet have been written with the emphasis on accuracy, trying to show students methods of how to evaluate expressions without making calculation errors. This worksheet is excellent revision for all students sitting the non-calculator paper of the reformed GCSE Mathematics examination. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Simplifying Surds
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Simplifying Surds

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This worksheet has 36 questions covering the rules for simplifying surds: adding, subtracting, multiplying, expanding brackets and evaluating indices. It includes worked answers for self-marking. As a tool for Assessment for Learning, teachers can use this worksheet in class or set it for homework once the teaching of this topic has been completed. It can also be made available to students on a school's VLE as a revision tool for independent study. The worksheet is targeted at GCSE students (grades 6 - 9) and AS-level students. It should take students, depending on their ability level and understanding of the topic, between two and three hours to complete this worksheet. The worked answers accompanying this worksheet allow the teaching and learning to continue beyond the classroom and GCSE students aiming for a grade 9 will find this a very useful resource. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Fractions of Quantities
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Fractions of Quantities

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This simple worksheet consists of two pages with 96 questions. A mixture of units is used, which provides good opportunities for class discussions. For this worksheet, students are expected to know their times tables and therefore it would be better not to use calculators. This worksheet is ideal for students in Year 6 and Year 7 and can be used both in class and for homework. Answers are included. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Rationalising Denominators
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Rationalising Denominators

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This worksheet has 24 questions covering the rules for rationalising denominators of fractions. As a tool for Assessment for Learning, teachers can use this worksheet in class or set it for homework once the teaching of this topic has been completed. It can also be made available to students on a school's VLE as a revision tool for independent study. The worksheet is targeted at GCSE students (grades 6 - 9) and AS-level students. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete this worksheet. The worked answers accompanying this worksheet allow the teaching and learning to continue beyond the classroom and GCSE students aiming for grades 8 and 9 will find this a very useful resource. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Evaluating Powers (1)
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Evaluating Powers (1)

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This worksheet has 80 questions covering the rules for evaluating powers involving integer indices only. The bases of the powers on this worksheet are positive and negative integers, decimals, fractions and mixed numbers. This worksheet is not as simple as it seems and will require students to have a sound understanding of how to evaluate powers with a negative base and the effect the presence or absence of brackets have. The worksheet includes answers. As a tool for Assessment for Learning, teachers can use this worksheet in class or set it for homework once the teaching of this topic has been completed. It can also be made available to students on a school's VLE as a revision tool for independent study. The worksheet is targeted at the full range of students (grades 4 - 9) doing GCSE Mathematics Higher Tier. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete this worksheet. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Evaluating Powers (2)
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Evaluating Powers (2)

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This worksheet has 24 questions covering the rules for evaluating powers involving positive and negative fractional indices. The bases of the powers on this worksheet are integers, fractions, mixed numbers and surds. This worksheet is not for the fainthearted! It includes worked answers for self-marking. As a tool for Assessment for Learning, teachers can use this worksheet in class or set it for homework once the teaching of this topic has been completed. It can also be made available to students on a school's VLE as a revision tool for independent study. The worksheet is targeted at GCSE students (grades 7 - 9) and AS-level students. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete this worksheet. The worked answers accompanying this worksheet allow the teaching and learning to continue beyond the classroom and GCSE students aiming for a grades 8 and 9 will find this a very useful resource. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Patterns and Formulae
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Patterns and Formulae

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This worksheet has 9 questions, which introduce the relationship between patterns and formulae. Each question explores a different pattern and through a series of small steps students will start to understand gradually what the variables in a formula represent. In this worksheet, students are not expected to come up with a formula themselves yet but towards the end they should have developed a sound understanding of what a formula is and they also should be able to select, from a group of formulae, the formula which describes a given pattern correctly. The worksheet includes worked answers for self-marking, which will allow students to progress through the worksheet at their own pace. The worksheet is targeted at students in Key Stage 3 and GCSE students doing Foundation Tier. This worksheet is best used in class where students can ask for support if needed. It should take students two lessons to complete this worksheet. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Identifying simple sequences and finding their nth term
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Identifying simple sequences and finding their nth term

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This download consists of two worksheets on sequences. The first worksheet, ‘Recognising Sequences’, shows 24 sequences and students should establish the type of sequence (linear, quadratic, cubic, exponential, prime numbers) and write down the next two terms of each of these sequences. The second worksheet, ‘The nth Term of a Sequence’, consist of 45 sequences and students need to write down the nth term of each of these sequences. The first page has only linear sequences, the second page has only quadratic sequences and on the third page there is a mixture of different types of sequences: linear, quadratic and cubic. The nth terms of the quadratic and cubic sequences are to be derived from the standard quadratic and cubic sequences. The worksheets include answers. The worksheets are targeted at students at the top-end of Key Stage 3 and GCSE students (grades 4 – 7). It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete both worksheets. For your convenience, the Word file is included and can be edited to meet the needs of your students.
Sequences described by a written rule
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Sequences described by a written rule

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This worksheet has 35 questions, each showing a written rule defining a sequence of which three terms have already been given. Students need to find the next two terms of the sequences and also the two previous terms. This worksheet require students to know terminology like product, sum and mean and they also need to be able to apply inverse operations when trying to find previous terms. The worksheet includes answers. The worksheet is targeted at students in Key Stage 3 and GCSE students (grades 3 – 5). This worksheet is best used in class where students can ask for support if needed. It should take students between one and two hours to complete all the questions on this worksheet. Bonus worksheet: Special Sequences For your convenience, the Word file is included and can be edited to meet the needs of your students.
Mini-Mocks GCSE Mathematics Higher (Modules 1-11)
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Mini-Mocks GCSE Mathematics Higher (Modules 1-11)

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This resource contains a set of six Mini-Mocks (Modules 1-11) and their modelled answers. Included is an overview of the 24 module headings of our scheme of work, giving you a rough idea of what the topics are in these six Mini-Mocks. Questions in these Mini-Mocks reflect the reformed Mathematics (9-1) syllabus. The questions have been selected from a range of sources while some questions have been adapted for the use in this resource. Students at our school have found the modelled answers extremely useful as it helps them to revise the GCSE Mathematics sylabus independently at home. It also has helped our students to identify types of questions which they need to further improve on. In summer 2019, our GCSE examination results increased considerably as a result of these Mini-Mocks and consequently I am developing more sets of Mini-Mocks, not only for Year 11 but also for Year 10. It would be great if you could rate this free resource. Thank you very much.
Standard Form (No Calculator)
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Standard Form (No Calculator)

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This worksheet has 9 questions covering the rules for numbers in standard form for the GCSE Mathematics (9-1) non-calculator paper: converting between ordinary numbers and numbers written in standard form, converting between numbers in words and numbers written in standard form, sorting numbers in standard form and using the four operations to evaluate expressions involving numbers written in standard form. The worksheet includes answers. As a tool for Assessment for Learning, teachers can use this worksheet in class or set it for homework once the teaching of this topic has been completed. It can also be made available to students on a school's VLE as a revision tool for independent study. The worksheet is targeted at the full range of students (grades 4 - 9) doing GCSE Mathematics Higher Tier. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete this worksheet. For your convenience, the Word file is included and can be edited to meet the needs of your students.