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.

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.

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.

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 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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

This worksheet is a follow-up of ‘Graphs of Quadratic Functions (1). It has 30 quadratic functions of which the graphs need to be drawn on blank coordinate systems, one for each function. The first 18 functions given are in the form y = p(x + q)2 + r ; by applying appropriate transformations their graphs need to be derived from the standard parabola of the function y = x2. The last 12 functions are given in the form y = ax2 + bx + c and in order to draw the graphs of these functions, they need to be written in the form of y = p(x + q)2 + r by completing their square. This worksheet is aimed to give the skill ‘Completing the Square’ a clear purpose and it also can be used as an introduction to transformations of graphs. The worksheet includes answers. 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.

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) Higher Tier syllabus. For the majority of these questions, students are required to interpret the context and use their reasoning and problem solving skills. The 183 questions in this booklet cover all grades of the new GCSE curriculum and can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. The worked answers also show students how to communicate their reasoning and calculations. Calculators are allowed for the questions in this booklet. Topics covered in this booklet are: units of time, compound units, metric conversion, imperial conversions (conversion factors are given in most cases), converting compound units, scale involving length, area and volume, evaluating numerical expressions, rounding, estimating answers, upper and lower bounds, including bounds of compound units, distance-time graphs, speed-time graphs, calculation/estimation and interpretation of gradients of graphs, calculation/estimation and interpretation of areas underneath graphs, including the Trapezium Rule. This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) Higher Tier syllabus. The 36 questions in this booklet can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. Calculators are not allowed for the questions in this booklet. Topics covered in this booklet are: evaluating f(x) for given values of x, finding x for given values of f(x), composite functions, inverse functions and applying transformations to graphs and functions. This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) Higher Tier syllabus. The 58 questions in this booklet can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. Calculators are not allowed for the questions in this booklet. Topics covered in this booklet are: coordinates in 3D, finding midpoints, finding gradients, finding equations of lines from a range of contexts (a given graph, parallel to, perpendicular to, passing through), finding coordinates of points on a line, identifying properties of lines from equations given, sketching graphs of quadratic functions, finding the turning point of a graph given its function, drawing different types of graphs using tables, exponential functions and their graphs, solving equations graphically, including drawing suitable lines, using rates of change to interprete graphs and linking different types of graphs to their functions. This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.

This booklet contains a selection of questions covering a range of topics for the reformed GCSE Mathematics (9-1) syllabus. The 113 questions in this booklet can be used by both teachers, to show examples of examination style questions in class, and students, for independent revision at home. The answers are particularly useful if students are not secure in certain topics as they show full step-by-step workings. Calculators are not allowed for the questions in this booklet. Topics covered in this booklet are: solving linear equations ranging from very easy to difficult, solving a range of different types of quadratic equations, solving exponential equations, solving simultaneous equations graphically, solving simultaneous equations algebraically and applying simultaneous equations for solving contextual problems. This booklet has excellent examples of questions of the new topics in the reformed GCSE Mathematics (9-1) curriculum.