[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207739-en":3,"doc-seo-207739-105":30,"detail-sidebar-cat-0-en-105":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},207739,1374391974585,"Genevieve","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c",4,"Exam","GCSE Specification and Revision Notes - Edexcel Mathematics A (1MA0)","Comprehensive revision notes aligned to the Edexcel Mathematics A (1MA0) specification, combining a complete reference list with extra items added for topics not explicitly covered, plus “Test Your Understanding” questions drawn from past papers and original practice. Notes guide students through algebra fundamentals, number operations, rounding rules, significant figures, and unit consistency. The document emphasizes correct working, careful sign and bracket handling, calculator accuracy, and concluding answers with context-appropriate reasonableness checks.","GCSE Specification and Revision Notes  \nLast Modified: 10/04/2015  \nThe left column is the complete Edexcel Mathematics A (1MA0) specification. A few items I have merged together (where there was duplication) . A few items I have created, either because they weren’t explicitly referenced in the specification (e.g. proof), or where I felt a few sub-subtopics deserved an item of their own (e.g. simplifying algebraic fractions) .  \nThe second column contains notes I have written and ‘Test Your Understanding’ questions (a mixture of past paper questions and my own) . Use the last column to tick items that you feel you have fully grappled.  \nIndex:  \n\n| Page 2 | Number |\n| --- | --- |\n| Page 10 | Algebra |\n| Page 30 | Shape, Space and Measures |\n| Page 54 | Data Handling & Probability |\n| Page 63 | Answers |\n\nGeneral Tips:  \n1. You MUST show full workings for each answer. ‘Method marks’ can usually be obtained when your answer is wrong, but not if there are no workings.  \n2. Do not give answers to anything less than 3 significant figures. Note that 0.0043 is only to 2 significant figures.  \n3. Be wary about copying errors when going from one line of working to the next. Has a ‘minus’ accidentally become a‘plus’?  \n4. Spot when different units have been used in the same problem, and ensure they are converted to the same unit.  \n5. Don’t ever use ‘trial and error’ for questions where an algebraic approach is expected – you won’t get any credit.  \n6. Take special care when punching numbers into a calculator and copying results off the display.  \n7. Check your answer looks ‘plausible’ given the context. If it costs £11500 to seed a garden you’ve probably gone wrong.  \n8. Check that you’ve actually answered the question. Often, once you’ve calculated the correct value, some‘conclusion’ is needed, e.g.“Therefore Bob will not have enough money. He is 50p short.”  \nCommon General Algebraic Errors:  \n􀁸 ( )   . Writing out the bracket twice we actually find ( ) ( )  \n􀁸 Similarly √ . You can see this is not true when for example.  \n􀁸 ~~ ~~ ~~ ~~ . When ‘cancelling’ fractions, we can only divide, whereas in this example we’ve incorrectly subtracted . If we factorised the example, it would be OK to cancel ((~~ ~~))((~~ ~~)) to ~~ ~~ because we have indeed divided by .  \n􀁸 ( ) . Oops!  \n􀁸 ~~ ~~ . The hasn’t been multiplied by 3.  \n􀁸 ( ) . Sign error at the end.  \n􀁸 ( ) ( ) . A lack of brackets when subtracting expanded expression leads to sign errors. See (53i) .  \n􀁸 Sign not changed when moved to other side of equation.  \n􀁸 ~~ ~~ ~~ ~~ or √ √ ( is trapped inside fraction/root so we have to deal with the and √ first)  \n􀁸 √ When is squared, you get not as  \nNumber  \n\n| Integers and Decimals |  |  |\n| --- | --- | --- |\n| 1. Understand and order integers and decimals | Test Your Understanding: Order the following: ~~ ~~ |  |\n| 2. Use brackets and the hierarchy of operations (BIDMAS) | 􀁸 BIDMAS is actually (B)(I)(DM)(AS), i.e. Division and Multiplication have the same‘priority’, and Addition and Subtraction have the same priority. When you have say a\u003Cbr>mix of addition and subtraction, evaluate left-to-right. E.g. simplifies to\u003Cbr>NOT : in the latter you had done the addition first, when there was no\u003Cbr>reason to do so.\u003Cbr>􀁸 Note that due to BIDMAS, negative numbers to a power require bracketing: would produce-16 on a calculator because it does the square (‘indices’) first. You want ( ) . This is highly important for the in the Quadratic Formula when substituting numbers in. |  |\n| 3. Add, subtract, multiply and divide integers, negative numbers and decimals | 􀁸 When multiplying two decimals, first multiply them as if they were whole numbers, then put the decimal point back in the result by counting the number of jumps in decimal point in the original numbers.\u003Cbr>􀁸 When subtracting negative numbers, ensure numbers are lined up in the units column, and fill in any ‘gaps’ with 0s.\u003Cbr>􀁸 We like dividing by whole numbers. Hence if you’re dividing by a d","cbCaibhx6CBYrObH","https://ap.wps.com/l/cbCaibhx6CBYrObH","pdf",3591438,1,70,"English","en",105,"# Index\n## Algebra\n## Shape, Space and Measures\n## Data Handling & Probability\n## Answers\n# General Tips\n# Common General Algebraic Errors\n# Number\n## Integers and Decimals\n## Fractions","[{\"question\":\"What is required when answering questions in this revision set?\",\"answer\":\"Each answer must include full workings. Method marks may be available even when the final answer is wrong, but not if there are no workings.\"},{\"question\":\"How should rounding and significant figures be handled?\",\"answer\":\"Round to the required significant figures or decimal places, treating zeros carefully: zeros after the first non-zero digit are significant. 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