corbettmaths worksheets year 8


Mathster is a fantastic resource for They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. They struggle to determine the probability of an event or whether an occurrence is random. creating online and paper-based assessments and homeworks. Economics is another field that relies on statistics and the same is true of medicine along with many other areas. When you're looking for year 8 maths worksheets for your child, it can be tricky to know where to start. Next Proportion Answers. Other choices include stem-and-leaf plots, scatterplots, bar graphs, box-and-whisker graphs, and time plots. (c) Plot graphs usng a table of values (both linear and quadratic equations). Our clearly presented worksheets on topics from pie charts and bar charts to mean median mode to probability are enjoyable and easy to follow. Our customer service team will review your report and will be in touch. - all types, Transformations A superb range of maths worksheets for secondary school children in year 8 (aged 12-13). sets. Observe the last three digits, if they are divisible by 8, then it is proved that 8 is a factor of the number. docx, 162.58 KB. Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Indices Rules - Our Year 8 printable maths worksheets cover the full range of topics. St Pauls Place, Norfolk Street, Sheffield, S1 2JE. Statistics is nothing more than the study of data. Video 9 on www.corbettmaths.com Question 1: Simplify each of the following (a) y + y + y + y (b) w + w + w + w + w (c) a + a + a + a + a + a (d) s + s + s (e) n + n (f) g + g + g + g g (g) y + y + y + y y y (h) p + p p p . fractional scale factor (less than 1), Enlargements: Addition Video 1 Questions Answers, Angles: Facts Video 2 Questions Answers, Angles: Measuring/Drawing Video 3 Questions Answers, Angles in Polygons Video 4 Questions Answers, Angles in Quadrilaterals Video 5 Questions Answers, Angles: Triangles Video 6 Questions Answers, Angles: Types Video 7 Questions Answers, Area: Parallelogram Video 8 Questions Answers, Area of Rectangles Video 9 Questions Answers, Area of a Triangle Video 10 Questions Answers, Bar Charts Video 11 Questions Answers, Circles: Parts Video 12 Questions Answers, Coordinates Video 13 Questions Answers, Cube Numbers Video 14 Questions Answers, Decimals: adding Video 15 Questions Answers, Decimals: multiplying Video 16 Questions Answers, Decimals: ordering Video 17 Questions Answers, Dividing by 10, 100, 1000 Video 18 Questions Answers, Division (short) Video 19 Questions Answers, Edges, Faces, Vertices Video 20 Questions Answers, Equations Video 21 Questions Answers, Factors Video 22 Questions Answers, Fractions: Adding (same denominators) Video 23 QuestionsAnswers, Fractions: Adding (different denominators) Video 24 Questions Answers, Fractions, Decimals and Percentages Video 25 Questions Answers, Fractions: Dividing Video 25 Questions Answers, Fractions: Equivalent Video 26 Questions Answers, Fractions: Finding the original Video 27 Questions Answers, Fractions: Multiplying Video 28 Questions Answers, Fractions: of an amount Video 29 Questions Answers, Fractions: ordering Video 30 Questions Answers, Fractions: Simplifying Video 31 Questions Answers, Inequality Signs Video 32 Questions Answers, Line Graphs Video 33 Questions Answers, Listing Outcomes Video 34 Questions Answers, The Mean Video 35 Questions Answers, Mixed numbers/improper fractions Video 36 Questions Answers, Money Video 37 Questions Answers, Multiples Video 38 Questions Answers, Multiplication Video 39 Questions Answers, Multiplying by 10, 100, 1000 Video 40 Questions Answers, Negative Numbers Video 41 Questions Answers, Nets Video 42 Questions Answers, Ordering Numbers Video 43 Questions Answers, Order of Operations Video 44 Questions Answers, Parallel & Perpendicular Line Video 45 Questions Answers, Percentages of Amounts Video 46 Questions Answers, Perimeter Video 47 Questions Answers, Pie Charts: Drawing Video 48 Questions Answers, Pie Charts: Reading Video 49 Questions Answers, Place Value Video 50 Questions Answers, Prime Numbers Video 51 Questions Answers, Proportion and Ratio Video 52 Questions Answers, Quadrilaterals: Types Video 53 Questions Answers, Reflections Video 54 Questions Answers, Roman Numerals Video 55 Questions Answers, Rounding Video 56 Questions Answers, Sequences Video 57 Questions Answers, Shapes: 2D Video 58 Questions Answers, Shapes: 3D Video 59 Questions Answers, Similar Shapes Video 60 Questions Answers, Square Numbers Video 61 Questions Answers, Substitution Video 62 Questions Answers, Subtraction Video 63 Questions Answers, Symmetry: Line Video 64 Questions Answers, Think of a Number Video 65 Questions Answers, Time Video 66 Questions Answers, Times Tables Video 67 Questions Answers, Timetables Video 68 Questions Answers, Translations Video 69 Questions Answers, Triangles: Types of Video 70 Questions Answers, Units (Capacity) Video 71 Questions Answers, Units (Lengths) Video 72 Questions Answers, Units (Mass) Video 73 Questions Answers, Using Calculations Video 74 Questions Answers, Volume: Cuboid Video 75 Questions Answers, Words/Figures Video 76 Questions Answers. St Pauls Place, Norfolk Street, Sheffield, S1 2JE. and 5-a-day. Try one of the sample free year 8 maths worksheets above to test your child's attainment levels in a range of different year 8 maths topics - we're here to help your child succeed with their journey throughout the year 8 maths curriculum! Single digital pdf download, with worksheets organised into high level chapters of Algebra, Statistics, Number and Geometry, and further by subtopics. exam style questions on any topic, as well as videos, past papers Home; Videos and Worksheets; 5-a-day; Study Cards; Practice Papers; July 31, 2018 July 31, 2018 corbettmaths. Showing top 8 worksheets in the category - Year 8 Sequences. Visual Maths Resources Ltd is a company registered in England and Wales with a company no. describing, Enlargements: This was analysed using the scores from the EdPlace database with all activities taken by students managed by parent accounts between October 2018 and September 2019. Well automatically assign topics to your child based on their year and adapt their progression to help them succeed. They With an EdPlace account you'll be able to track and measure progress, helping each child achieve their best. Our year 8 statistics worksheets are designed to help students handle all the different types of statistics problems. Among the applications of statistics is when a statistician collects information. Add up all the digits of the number and divide the sum by 9. Yes, please keep me updated on EdPlace's news, advice and offers (subject to EdPlace's Privacy Policy ). Proportion Questions Worksheets; Post navigation. A statistics worksheet offered by Cazoom Maths can help students learn how to gather and organize the data. Good news! ray method. Regardless of which method is selected, the statistician must share this information with others so they can replicate the study if desired. Understand that perimeter is the distance around a shape 2. This cover contains worksheets based upon rewriting whole numbers or decimals in scientific annotation press rewriting scientific notation form to standard form. They can teach a student to see trends and patterns before any analysis is conducted. Researchers start with a sample and use the material gathered to try to infer something about the overall population. all (well, most!) (1) 2."A rectangle is drawn on a centimetre grid. It really is one of the very best websites around. Corbettmaths Primary Primary 5-a-day, videos, worksheets and more. Since events are just . Cazoom Maths is the trading name of Visual Maths Resources Ltd. All rights reserved | Visual Maths Resources Ltd, GCSE MATHS REVISION WORKSHEETS - 170 AVAILABLE TO DOWNLOAD! Be aware that, as Mark Twain pointed out, the person using the data determines in part how it is shared because statistics are pliable. Welcome to Corbettmaths! The sample is nothing more than a portion of the population that is believed to be representative of the entire group. Corbett Maths Mathster keyboard_arrow_up Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. Once you find your worksheet, click on pop-out icon or print icon to worksheet to print or download. Chloe weighs 58 kilograms. This set of worksheets covers all main topics and includes over 500 pages of great learning resources. Cazoom Maths is the trading name of Visual Maths Resources Ltd. All rights reserved | Visual Maths Resources Ltd, GCSE MATHS REVISION WORKSHEETS - 170 AVAILABLE TO DOWNLOAD! worksheet, complete with answers. Statistics Teaching Resources & Worksheets, Enjoyable and Easy Year 8 Statistics Worksheets, Probability Thinking Statements (True or False), A Statistics Worksheet Can Help Organize Data, Researchers Use Descriptive Statistics to Calculate Quantities, Inferential Statistics is Based on Hypothesis Testing. Some of the worksheets displayed are Name, Work math grade 8 sequences, Year 8 maths revision autumn term, English year 8 noughts and crosses term 6, Patterns and algebra year 8, Math virtual learning grade 8, Year 8 maths topic ratio rates chapter 4 revision, Exercise work. Corbett Maths Mathster keyboard_arrow_up Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. To find out more about cookies and the types of cookies we are setting please visit our cookie policy. Our year 8 worksheets are 100% aligned to the National Curriculum and can provide you visibility to your child's year 8 maths revision progress throughout the year. Area and Perimeter - Year 8, KS3 stage Subject: Mathematics Age range: 11-14 Resource type: Assessment and revision 16 reviews File previews pdf, 829.62 KB Learning Outcomes 1. Corbett Maths keyboard_arrow_up This set of printable worksheets is specially designed for students of grade 6, grade 7, grade 8, and highs educate. Try one of the sample free year 8 maths worksheets . Two apples have the same mass. Over 500 pages of the highest quality year 8 maths worksheets. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. 2. 3. - Enlargement, Transformations Our algebra worksheets in particular are important in developing your child's algebraic knowledge and should help prepare them for their year 8 maths tests. With these worksheets, students can spot trends and patterns. Revision, Enlargements: Each type of sample has its benefits and drawbacks, which need to be considered before the data collection process begins. www.corbettmathsprimary.com/5-a-day/ 1. Yes, please keep me updated on EdPlace's news, advice and offers (subject to EdPlace's, Winner - Best for Home Learning / Parents, Collect Like Terms to Solve Algebra Problems, Factorise Algebraic Expressions Involving Squared Terms, Find the Formula for the General Term of a Sequence, Find the Missing Terms in Geometric Sequences, Calculate Angles in Triangles and on Parallel Lines, Calculate the Exterior Angles of Regular Polygons, Find Alternate and Corresponding Angles on Parallel Lines, Assessment: English, Maths and Science Combined (Y8), Calculate the Mean, Median and Range of a Dataset, Practise Finding Cubes and Cube Roots on a Calculator, Add and Subtract Positive and Negative Numbers, Add and Subtract Positive and Negative Numbers Mentally, Assessment: Ratio, Proportion and Rates of Change, Share Amounts in a Given Three-Part Ratio, Convert Between Metric and Imperial Units, Find the Probability of Picking Certain Numbers, Find the Probability of Selecting Specified Items, Find the Probability of Selecting Specified Numbers, Calculate the Volumes of Cuboids and Prisms, Special Numbers (powers, roots, standard form), Express Numbers as a Product of Prime Factors, Identify Similar Shapes and Find Missing Lengths, Derive/Use the Sum of Angles for Deduction, Find the Size of an Interior Angle in Regular Polygons, Solve Problems Involving Perimeters and Areas of 2D Shapes, Find the Circumference of a Circle Using Diameter or Radius, Understand the Relationship Between Parallel Lines and Angles, Find Angles in Triangles and on Parallel Lines, Use Standard Conventions for Labelling Triangles, Identify and Describe Translations, Rotations and Reflections, Understand Volumes of Cubes, Cuboids and Compound Figures, Define, Interpret and Compare Percentages, Convert Between Fractions, Decimals and Percentages, Increase and Decrease Numbers by a Given Percentage, Read Standard Index Form Numbers with Negative Indices, Read Standard Index Form Numbers with Positive Indices, Round a Decimal Number to 1 Decimal Place, Round a Decimal Number to 2 Decimal Places, Use Concepts and Vocabulary for All Numbers, Find the LCM and HCF Using the Product of Prime Factors, Know the Rules for Dividing 4, 6, 8 and 9, Know the Rules of Divisibility for Numbers up to 10, Use Conventional Notation for Priority of Operations, Use Brackets in Calculations to Give Different Answers, Work Interchangeably with Terminating Decimals and Fractions, Record, Describe and Analyse Probability Experiments, Solve Problems Involving Direct and Inverse Proportion, Understand Variables, Representation, Measures and Spread, Write the Terms of a Sequence From a Formula, Simplify Algebraic Expressions to Maintain Equivalence, Multiply Out Double Brackets and Simplify, Substitute Numerical Values for Formulae/Expressions, Substitute Decimal Numbers into Algebraic Expressions, Substitute Numbers into Algebraic Expressions, Understand Expressions, Equations, Inequalities, Terms and Factors. Corbett Maths Mathster keyboard_arrow_up Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. Keywords: Ratio, Proportion, Share, Split, Relationship, Direct, Equivalent, Simplify, Quantity, Inverse, Scale, Map, Linear, Conversion, Convert, Division. All our maths worksheets can be accessed here. come with answers. 1. A sample of the population is used. The individual typically cannot survey everyone in a group or study them because the numbers are simply too big. worksheet, complete with answers. Corbettmaths 2018 Angles in a Triangle Tips Read each question carefully Attempt every question. (a) Recap: Know equations of vertical and horizontal lines (e.g. 3. Resources like this are so helpful for me. Thank you so much. centre of enlargement, Enlargements: Some of the worksheets displayed are Name, Work math grade 8 sequences, Year 8 maths revision autumn term, English year 8 noughts and crosses term 6, Patterns and algebra year 8, Math virtual learning grade 8, Year 8 maths topic ratio rates chapter 4 revision, Exercise work. Your rating is required to reflect your happiness. A statistician acquires data, organizes it, and analyzes the results. creating online and paper-based assessments and homeworks. creating online and paper-based assessments and homeworks. Over 500 pages of the highest quality year 8 maths worksheets. Start your free trial and access over 500 Year 8 Maths worksheets today! Our maths worksheets are used by over 30,000 teachers, parents and schools around the world and we are a Times Educational Supplement recommended resource for helping key stage 3 and key stage 4 students learn mathematics. Corbett Maths offers outstanding, original Proportionality - Advanced, Proportionality The topic of Ratio and Proportion from the Year 8 book of the Mathematics Enhancement Program. Whether you want a homework, some cover work, or a lovely bit of Videos, worksheets, 5-a-day and much more Start your free trial and access over 350 Year 7 Maths worksheets today! Conditions. "Draw all the lines of symmetry on this shape. 1. Clicking "Accept" will allow us and our partners to use cookies, learn more in our cookie policy or to change your cookie preferences, click "Manage". of outcomes, we can formally write P(A or B) as P(A B). These cookies are necessary for the website to function and without them you would not be able to reliably use the website. registered in England (Company No 02017289) with its registered office at Building 3, Videos and Worksheets - Corbettmaths Primary Videos and Worksheets Addition Video 1 Questions Answers Angles: Facts Video 2 Questions Answers Angles: Measuring/Drawing Video 3 Questions Answers Angles in Polygons Video 4 Questions Answers Angles in Quadrilaterals Video 5 Questions Answers Angles: Triangles Video 6 Questions Answers All our maths worksheets can be accessed here. (b) Appreciate the conceptual line between lines and their equation (i.e. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. come with answers. 3. . If you'd prefer that certain types of cookie are not saved on your browser when visiting our website, use the toggles below to adjust those preferences and click "Save choices". Whether you want a homework, some cover work, or a lovely bit of Report this resourceto let us know if it violates our terms and conditions. We make sure to include year 8 maths questions and answers in our worksheets to help your child interactively learn the topic theyre studying. We have year 8 statistics worksheets to suit students of all abilities and all worksheets are supplied with answers so you can assess how well your child or pupil is progressing. These cookies can share that information with other organisations or advertisers. At a wedding, the guests may have ice cream or custard with their dessert. We also have revision materials across a range of other subjects, including year 8 science and year 8 English revision worksheets. Show the time twenty to six on the clock 2. Draw a 5 centimetre line. 35 students only study French 2 students do not study French or German. Fortunately, with the help of statistics worksheets offered by Cazoom Maths, the entire process becomes clearer. and 5-a-day. As an independent online tutor, I often have to create my own resources for my students. Get started for free to track and monitor progress. 8 + 3w w 3 (i) 5 4s 2 + 10s (j) 3x + 6y + 5x 2y (k) 6m 2s + 11s + m (l) 2a . Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues. Worksheet Name. x = 3) and also y = x and y = -x. Tes Global Ltd is Our clearly presented worksheets on topics from pie charts and bar charts to mean median mode to probability are enjoyable and easy to follow. Statistics Teaching Resources & Worksheets. A hypothesis is formed before researchers use statistical tools to decide whether to accept or reject the theory. Advertising is a good example, while psychologists use statistics to learn more about a patient with relation to the general population. Tes Global Ltd is Corbett Maths offers outstanding, original Posts about Worksheets written by corbettmaths. We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. How does a person go about collecting these stats? 3. . Graphs - Horizontal and Vertical Lines. Really detailed resources. How many minutes are in one hour? Statistics is a difficult subject for many students. Circles and Cylinders (MEP - Year 8 - Unit 16) | Teaching Resources Circles and Cylinders (MEP - Year 8 - Unit 16) Subject: Mathematics Age range: 11-14 Resource type: Lesson (complete) 8 reviews File previews pdf, 82.67 KB pdf, 52.53 KB pdf, 25.71 KB pdf, 11.45 KB pdf, 71.8 KB pdf, 6.95 KB pdf, 22.09 KB pdf, 34 KB pdf, 22.01 KB pdf, 8.82 KB Single user licence for parents or teachers. Our mathematics resources are perfect for use in the classroom or for additional home learning, and are excellent Year 8 maths practice material. And best of all they Pie Charts. 2. This year they'll be building upon topics in preparation for their GCSE exams. Conditions. What is the mass of two cans of beans? And best of all they Our content is mapped to the Curriculum - giving you confidence that EdPlace matches everything your child will learn at school. Our year 8 statistics worksheets are designed to help students handle all the different types of statistics problems. This anonymous data helps us improve the website with a focus on its users, for example, ensuring the most popular content is easier to access. 3. The results are then applied to other areas of study. We build confidence and attainment by personalising each child's learning at a level that suits them. To determine the average weight of adult Americans, the statistician would survey a few thousand adults. A television programme begins at 7:30pm The television programme ends at 8:15pm How long did the television programme last? Fill out the form below to get 30 FREE maths worksheets! Maths Worksheets / Year 8 Maths Worksheets. finding centre of enlargement, Enlargements: worksheet, complete with answers. Simple random samples are one option, but a person might find he or she benefits more from a cluster or stratified sample. (a) Complete the Venn diagram (2) (b) Work out how many students study only German (1) 4. They The worksheets are really good: formatted for easy printing, covering all the important aspects. 2. Whether you want a homework, some cover work, or a lovely bit of (a) Recap: Know equations of vertical and horizontal lines (e.g. Report this resourceto let us know if it violates our terms and conditions. 4. We use cookies to help provide a better website experience for you, and help us to understand how people use our website. For this reason, worksheets are of great help. For information about these resources and an index for the whole collection please visit http://www.mrbartonmaths.com/CIMT.htm "(a) Draw the lines of symmetry on the rectangle. These cookies track your online activity to help advertisers deliver more relevant and personalised advertising or to limit how many times you see an ad. The method selected depends on the question being asked by the statistician and the statistical information to be collected. come with answers. Bronze, Silver, Gold and Platinum - KS2 questions in increasing difficulty January 1st January Bronze Silver Gold Platinum 2nd January Bronze Silver Gold Platinum 3rd January Bronze Silver Gold Platinum 4th January Bronze Silver Gold 4. Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Transformations Proportionality - Basics, Direct Corbett Maths keyboard_arrow_up Single user licence for parents or teachers. Corbett Maths keyboard_arrow_up - Direct and Inverse. It really is one of the very best websites around. all (well, most!) exam style questions on any topic, as well as videos, past papers You can & download or print using the browser document reader options. Basics, Indices Rules - a line is a set of points that satisfies the equation). There are 80 students in year 11. What time is shown on the clock? We've made it easy by sharing a selection of our most popular year 8 maths worksheets, used by 1000s of parents across the UK, for you to test for free below. Something went wrong, please try again later. We also have revision materials across a range of other subjects, including year 8 science and year 8 English revision worksheets. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. www.corbettmathsprimary.com/5-a-day/ A can of beans has a mass of 450 grams Draw an arrow on the scale to show 450g Olivia has two cans of beans. KS3 Straight Line Graphs (MEP - Year 8 - Unit 14) | Teaching Resources KS3 Straight Line Graphs (MEP - Year 8 - Unit 14) Subject: Mathematics Age range: 11-14 Resource type: Lesson (complete) 37 reviews File previews pdf, 61.53 KB pdf, 52.23 KB pdf, 18.42 KB pdf, 11.31 KB pdf, 80 KB pdf, 12.16 KB pdf, 25.88 KB pdf, 59.02 KB pdf, 33.87 KB Proportionality Basics, Inverse negative scale factor, Enlargements: Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Direct This website and its content is subject to our Terms and registered in England (Company No 02017289) with its registered office at Building 3, 10607102 with a registered office at 71-75 Shelton Street, WC2H 9JQ. exam style questions on any topic, as well as videos, past papers 1. extra practise, this is the place for you. When using descriptive statistics, researchers look to calculate quantities that accurately describe the data collected. You may recall from the end of Year 7, when we covered Set Theory, that A B meant "you are in set A, or. Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. If the sample accurately reflects the population, the average height determined by the results would be very close to the average height of adult Americans as a whole group. extra practise, this is the place for you. at only $24.95 a year. They Visual Maths Resources Ltd is a company registered in England and Wales with a company no. 1."An arrow is drawn below. Empty reply does not make any sense for the end user. x = 3) and also y = x and y = -x. Corbett Maths offers outstanding, original Statistics is an important topic at key stage 3 and all of our resources at Cazoom Maths will help your pupil or child master statistics with ease! 10607102 with a registered office at 71-75 Shelton Street, WC2H 9JQ. Your rating is required to reflect your happiness. When comparing stats worksheets, students must decide if they will benefit most from a worksheet with a pie chart, one that creates a circle graph, or if another option should be selected. Our customer service team will review your report and will be in touch. docx, 49.8 KB. Fill out the form below to get 30 FREE maths worksheets! KS3 Ratio and Proportion (MEP - Year 8 - Unit 7) | Teaching Resources KS3 Ratio and Proportion (MEP - Year 8 - Unit 7) Subject: Mathematics Age range: 11-14 Resource type: Lesson (complete) 46 reviews File previews pdf, 42.17 KB pdf, 11.3 KB pdf, 12.2 KB pdf, 11.56 KB pdf, 51.55 KB pdf, 6.21 KB pdf, 15.66 KB pdf, 8.62 KB pdf, 13.33 KB pdf, 9.08 KB For example, logging into your account or completing forms. Our partners will also collect data and use cookies for ad personalisation and measurement. all (well, most!) This website and its content is subject to our Terms and Divisibility Rule for 9 Conclude which of the numbers are divisible by 9. Cazoom Maths is a trusted provider of maths worksheets for secondary school children. Use our parent-friendly Topic filter or filter by Curriculum. have kindly allowed me to create 3 editable versions of each Home to 1000's of maths resources: Videos, Worksheets, 5-a-day, Revision Cards and much more. Statistics are important because almost every scientific research field uses statistics in one way or another. As data is collected, it must be organized to ensure information can be pulled from it. A series of cookies that collect anonymised data on how users interact with our website. - Advanced Enlargement, Transformations Showing top 8 worksheets in the category - Year 8 Sequences. Year Term All Filter Autumn term Proportional reasoning Week 1 - 2 Ratio & scale View Proportional reasoning Week 3 - 4 Multiplicative change View Proportional reasoning Week 5 - 6 Multiplying and dividing fractions View Representations Week 7 - 9 Working in the Cartesian plane View Representations Week 10 - 11 Representing data View Empty reply does not make any sense for the end user. Separate school licences are also available. Proportionality Advanced, Inverse

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corbettmaths worksheets year 8