[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207810-en":3,"doc-seo-207810-105":30,"detail-sidebar-cat-0-en-105":91},{"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":20,"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},207810,962075006959,"Anda","https://ap-avatar.wpscdn.com/avatar/e0002397efbe92a78e?_k=1776741047341049297",4,"Exam","Peter Symonds College - Maths Department Preparation for A Level Mathematics - Pre-Enrolment Task","Pre-enrolment task for Peter Symonds College Maths Department to prepare students for A Level Mathematics by consolidating core GCSE algebra skills. The pack includes instructions to complete a series of worksheets independently, show full working, mark using provided solutions, and transfer the scores to a front sheet out of 120. It covers basic algebra, equations, quadratic equations, surds, fractions and indices, simultaneous equations, straight lines and gradients, and forming equations from worded questions.","PETER SYMONDS COLLEGE  \nMaths Department Preparation for A Level Mathematics  \nYou will need to make sure that you are confident with some core algebraic GCSE skills in preparation for the start of your A Level Mathematics course.  \nINSTRUCTIONS  \n1. USING YOUR OWN PAPER complete all the questions on the following worksheets.  \n2. MARK YOUR WORK using the answers at the back of the booklet.  \n3. Transfer your marks to the table below, GIVING YOURSELF A MARK out of 120.  \n4. Please write any comments in the NOTES boxes if you need to explain your marks.  \n5. Attach your written work to this front sheet & BRING IT TO YOUR FIRST MATHS LESSON.  \n\n| QUESTION SHEETS | Mark | Notes |\n| --- | --- | --- |\n| 1 Basic Algebra | ⁄24 |  |\n| 2 Equations | ⁄18 |  |\n| 3 Quadratic equations | ⁄22 |  |\n| 4 Surds, Fractional & Negative Indices | ⁄18 |  |\n| 5 Simultaneous equations | ⁄8 |  |\n| 6 Straight Lines & Gradients | ⁄12 |  |\n| 7 Forming equations from worded questions | ⁄18 |  |\n| TOTAL | ⁄120 |  |\n\nPETER SYMONDS COLLEGE  \nMaths Department Preparation for A Level Mathematics  \nPre-Enrolment Task  \nA Level Maths assumes knowledge and competence in the algebraic skills and techniques included in this booklet. Making sure you are confident in these GCSE skills will give you practice and help you prepare for early lessons, ensuring a good start on your A level course.  \nComplete all of the following worksheets, using your own file paper and showing working out.  \nDO NOT WRITE INSIDE THE BOOKLET  \nThere are some hints and examples. You could use your GCSE revision guides and/or internet resources if necessary.  \nAnswers to the last 3 questions will be given and discussed during one of your first three lessons.  \nPlease mark your work using the solutions on page 6 and transfer your marks to the front sheet , making any notes that you need to where you might have found a topic difficult or to inform your teacher areas you will need help with.  \nPLEASE MARK YOUR WORK AND BRING IT  \nTO YOUR FIRST LESSON.  \nQuestion sheet 1 Basic algebra  \n1. Expand, and then simplify as far as possible, each of the following expressions.  \ni. 3 􀀋x 􀀎 2 􀀌􀀎 5 􀀋x 􀀐1􀀌 ii. 4 􀀋5a 􀀎 3 􀀌􀀐 3 􀀋2a 􀀐 5 􀀌  \niii. t 􀀋2 p 􀀎1􀀌􀀎 p 􀀋3t 􀀐 2 􀀌 iv. 2 􀀋 p 􀀎 q􀀌􀀎 3q 􀀋 p 􀀐 3 􀀌􀀐 p 􀀋3q 􀀎1􀀌  \n2. Factorising – putting brackets in by taking out highest common factors, even if the factors look a bit different! HCF is 5(􀝔 + 1)  \nExample: Factorise 5 (􀝔 + 1) + 10􀝔(􀝔 + 1) = 5 (􀝔 + 1) × 1 + 5(􀝔 + 1) × 2􀝔  \n= 5 (􀝔 + 1)(1 + 2􀝔)  \nFactorise the following expressions.  \ni.  \niii.  \nv.  \n9a2 􀀎 3abc  \n2􀝔3 − 􀝔 2 + 4􀝔 2 (􀝔 − 1) + 􀝔(􀝔 − 1)  \nii. 3􀝔 + 6􀝔2  \niv. 10􀝕2 − 5􀝕  \nvi. 7􀝔(􀝔 + 2)2 − 􀝔(􀝔 + 2)  \n3. In each of the following questions, multiply the terms or expand the brackets.  \ni. 3x􀁵 4xy ii. 5a2b􀁵 2ab 2  \niii. 3 (􀝔5􀝕 2 ) 7 iv. (2􀝔2􀝕 3 )4  \n4. Simplify each of the following as far as possible.  \nx 3y 2 6a3b4  \ni. ~~ ~~ ii. ~~ ~~  \nxy 3b  \niii.  4x 􀁵 9~~ ~~y22~~ ~~ iv.  10 p 􀁵 3q2 􀁵 4q3 3y 2x 3q2 2 p2 5 p  \n5. Express each of the following as a single fraction.  \nSame rules as for numeric fractions.  \nExample: 25􀯫 + 7􀯫42 LCD is 4􀝔 so 2 + 7􀯫4􀯫 = 7􀯫3410  \ni.  \niii.  \nv.  \nx x  \n~~ ~~􀀎~~ ~~  \n3 4  \n2   3  \n􀀎  \np q  \nx􀀎 2   x 􀀎  \n3 4  \nii.  \niv.  \nvi.  \n3x   2x  \n􀀐  \n5 3  \n3   x 􀀎  \nx 2  \n3x􀀐1  2x􀀎1 􀀎  \n3 2  \nTOTAL 24 MARKS  \nQuestion sheet 2 Equations  \n1. Solve the following equations.  \nExample: Solve 47 + 52 = 6 (X through by LCD to get rid of fractions) 47 × 20 + 52 × 20 = 6 × 20 ⇒ 4(4􀝔 + 7) + 5(5􀝔 + 2) = 120 then expand brackets, collect like terms and solve in usual way. . .  \n16􀝔 + 28 + 25􀝔 + 10 = 120 ⇒ 41􀝔 = 82 ∴ 􀝔 = 2  \ni. 7 y 􀀎 40 􀀠 5 ii. 5 􀀋x 􀀎 3 􀀌 􀀠 3 􀀋3x 􀀐1􀀌  \niii. 5􀝔2 = 180 iv. ~~ ~~54 (2􀜿 − 1) = 3􀜿 − 2  \nv. ~~ ~~8~~ ~~2􀯫 + 24 = 12 vi. q􀀐 3 􀀠 q4 􀀎 3  \nvii. 16􀝔2 − 5 = 4 viii. 3 􀀋5 􀀐 2x􀀌 􀀠 2x3  \nix. 􀯫82 = 3236 x. ~~ ~~43 + 􀝔 = 5􀯫+441  \n2. For each of the following, make the indicated letter the subject of the formula.  \ni. 􀝕 = 10 − 4􀝔 (􀝔) ii. 􀜸 = 􀟨􀝎2 ℎ (ℎ)  \niii. 􀝏 = 12 (􀝑 + 􀝒)􀝐 (􀝐) iv. 􀝏 = 12 􀝃􀝐 2","cbCaidyrJDS1j5ub","https://ap.wps.com/l/cbCaidyrJDS1j5ub","pdf",533853,1,12,"English","en",105,"# Instructions\n# Question sheet 1 - Basic algebra\n## Expand and simplify\n## Factorising\n## Multiply out and simplify\n## Simplify to lowest terms\n## Express as a single fraction\n# Question sheet 2 - Equations\n## Solve equations\n## Make a variable the subject of the formula\n# Question sheet 3 - Quadratic equations\n## Expand and simplify\n## Factorise\n## Solve by factorising\n## Solve using the quadratic formula\n# Question sheet 4 - Surds, Fractional & Negative Indices\n## Simplify surds\n## Expand and simplify products\n## Write fractional powers in index form\n# Question sheet 5 - Simultaneous equations\n## Solve by elimination","[{\"question\":\"What should students do before their first A Level Maths lesson?\",\"answer\":\"Complete all provided worksheets using your own paper and show full working, then mark your work using the solutions provided and bring the completed front sheet with transferred marks to the first lesson.\"},{\"question\":\"How are marks recorded?\",\"answer\":\"Students transfer their marks from the worksheets to the front sheet and give themselves a total out of 120, adding notes if they need to explain any marks or indicate where help may be needed.\"},{\"question\":\"Which math topics are covered in the worksheets?\",\"answer\":\"The task covers basic algebra, equations, quadratic equations, surds/fractional/negative indices, simultaneous equations, straight lines \\u0026 gradients, and forming equations from worded questions.\"}]","Peter Symonds College - 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