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The material provides mark and time guidance, exam-writing instructions, and worked answers across geometry, ratio and fractions, spending percentages, sequences of selling houses, circle-and-semicircle area, equation solving with identified mistakes, and compound interest calculations. It also includes algebraic setup and factorisation steps for a rectangular lawn with a surrounding path, with final results where answers require specified accuracy.",{"@graph":69,"@context":116},[70,84,99],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/gcse-mathematics-practice-tests-set-1-paper-3hcalculator-solutions/207136/",{"url":83,"name":65,"@type":85,"author":86,"headline":65,"publisher":89,"fileFormat":92,"inLanguage":63,"description":67,"dateModified":93,"datePublished":93,"encodingFormat":92,"isAccessibleForFree":94,"interactionStatistic":95},"DigitalDocument",{"name":87,"@type":88},"นรินทร์","Person",{"url":74,"name":90,"@type":91},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":96,"interactionType":97,"userInteractionCount":4},"InteractionCounter",{"@type":98},"ViewAction",{"@type":100,"mainEntity":101},"FAQPage",[102,108,112],{"name":103,"@type":104,"acceptedAnswer":105},"What exam instructions are given for these practice tests?","Question",{"text":106,"@type":107},"Use black ink/ball-point pen, fill in top boxes, answer all questions in the provided spaces, show all working, and calculators may be used. Diagrams must not be inaccurately drawn unless indicated.","Answer",{"name":109,"@type":104,"acceptedAnswer":110},"How is the area shaded in Question 6 determined?",{"text":111,"@type":107},"Compute areas using circle and semicircle relationships with the given diameters, then subtract unshaded parts to obtain the shaded area, rounded to 1 decimal place.",{"name":113,"@type":104,"acceptedAnswer":114},"What approach is used for Question 9 to solve for x and the lawn area?",{"text":115,"@type":107},"Set up equations using total area of lawn plus path, then derive a quadratic in x. After solving, use the result to compute the lawn area with clear algebraic working.","https://schema.org",{"og:url":83,"og:type":118,"og:title":65,"og:site_name":90,"og:description":67},"article",{"robots":120,"canonical":83},"index,follow",{"doc_id":122,"site_id":62},207136,1788598490,{"code":4,"msg":5,"data":125},{"doc_id":122,"user_id":126,"nickname":87,"user_avatar":127,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":128,"file_id":129,"file_url":130,"file_type":131,"file_size":132,"view_count":4,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":56,"language":133,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":134,"faqs":135,"seo_title":136,"seo_description":67,"update_tm":123,"read_time":137},2336475104957,"https://ap-avatar.wpscdn.com/avatar/22000c4c6bd8a5076e1?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787554080175789136","| GCSE Mathematics  \u003Cbr>Practice Tests:Set 1  \u003Cbr>Paper 3H(Calculator)  \u003Cbr>Time:1hour 30 minutes  \u003Cbr>YOu should have:Ruler graduated in centimetres and millimetres  \u003Cbr>protractor,pair of compasses,pen,HB pencil,eraser,calculator.   |\n| --- |\n\n# Solutions\n\nInstructions  \n·Use black ink or ball-point pen.  \n·Fill in the boxes at the top of this page with your name,centre number and candidate number.  \n·Answer all questions.  \n·Answer the questions in the spaces provided-there may be more space than you need.  \n·Calculators may be be used.  \n·Diagrams are NOT accurately drawn,unless otherwise indicated.  \n·You must show all your working out.  \n# Information\n\n·The total mark for this paper is 80  \n·The marks for each question are shown in brackets  \n-use this as a guide as to how much time to spend on each question.  \n# Advice\n\n·Read each question carefully before you start to answer it  \n·Keep an eye on the time.  \n·Try to answer every question.  \n·Check your answers if you have time at the end.  \nPractice Tests:Set 1 Regular(3H)-Version 1.1  \nThis publication may only be reproduced in accordance with Pearson Education Limited copyright policy.C2016 Pearson Education Limited.  \nAnswer ALL questions.  \nWrite your answers in the spaces provided.  \nYou must write down all the stages in your working.  \n1.  \nBPCD is a straight lineBA is parallel to CQ.APis perpendicular to BC.  \nAngle ABC=54°  \nAngle ACQ=76°  \nWork out the size of the angle marked x.Give reasons for your answer.  \n(180—(40+5o)) (anseot△au  t 80)( =40°upto180°) (ngg 。 stngit lie ad=50° CP=18-(76+5)acD:5ca  \nx=40  \n(Total 4 marks)  \n# 2.Jenny is organising a party.\n\nShe buys some paper plates and some plastic cups.  \nPaper plates are sold in packs.cno   5a 35There are 25 plates in a pack.Each pack costs 78p.  \nPlastic cups are sold in packs.There are 35 cups in a pack.Each pack costs f1.10  \nand 5 packs o Lups  \nJenny buys exactly the same number of plates and cu  \nWhat is the least amount of money she pays?  \n7x788+5x110二 0 6=410,96  \n.…10.96……………………  ……  \n(Total 5 marks)  \n# 3.  There are only red beads and green beads in a bag.\n\nThe ratio of the number of red beads to the number of green beads is 5:9  \n(a)What fraction of the beads are red?5+9=14  \n(1)  \nThere is a total of 84 beads in the bag.  \n(b)How many of the beads are green?  \n / 0x84=   \n54  \n(3)  \nSusie is going to put some more beads in the bag.There will still be only red beads and green beads in the bag.  \nSusie wants to have twice as many green beads as red beads in the bag.  \n(c)What beads should she put in the bag?  \nYou must explain your answer.  \nfor    60 sieen,30ce Gret m 545u6  e 30RedNow  \n(3)  \n(Total 7marks)  \n# 4.  The table shows some information about the average adult spending in 2008 as a percentageof average total adult spending in 2008.\n\n\n| Item   | Percentage   |\n| --- | --- |\n| food   | 11%   |\n| housing   | 11%   |\n| leisure   | 13%   |\n| clothes   | 5%   |\n| transport   | 14%   |\n| household goods   | 8%   |\n| other items   | 38%   |\n\nIn May 2008,Katie spent a total of f425.  \nShe spent f48.45 of the f425 on food.  \nCompare the percentage that Katie spent on food with the average adult spending on food.  \n425x100. =11.4%48.45  \n11.4% compared 1to 11%入t aasalt sn20food.tatie's percentage spend on food is slightly  \n(Total 3 marks)  \n# 5.   Coventry Estates sells houses.\n\nIn February they sold twice as many houses as in January.In March they sold 10 more houses than in February.In April they sold half as many houses as in March.  \nCoventry Estates sold a minimum of 123 houses from lst January to 30th April.  \nFind the least number of houses sold in January.  \n At lest18 x>186× > 108 x>,123一15+15 >123x+2x+2x+10+x+5≥12 Arx+5x+0Ma2xF\u003Cs3(Je 2Letme ol J  \n(Total 5marks)  \n# 6.The diagram shows a circle inside a semicircle.\n\nThe circle has a diameter of 10 cm.The semicircle has a diameter of 20 cm.  \nWork out the area shaded.  \nGive your answer correct to 1 decimal place.  \nof circle =πr²","cbCaipypizzmohR1","https://ap.wps.com/l/cbCaipypizzmohR1","pdf",701001,"English","# Instructions and guidance\n## Mark scheme summary\n## Answer-writing requirements\n# Solutions\n## Question 1: Angle reasoning\n## Question 2: Party cost optimisation\n## Question 3: Beads ratio and doubling greens\n## Question 4: Comparing spending percentages\n## Question 5: Houses sold over months\n## Question 6: Shaded area in circle/semicircle\n## Question 7: Equation mistake identification\n## Question 8: Compound interest values\n## Question 9: Lawn area with surrounding path","[{\"question\":\"What exam instructions are given for these practice tests?\",\"answer\":\"Use black ink/ball-point pen, fill in top boxes, answer all questions in the provided spaces, show all working, and calculators may be used. Diagrams must not be inaccurately drawn unless indicated.\"},{\"question\":\"How is the area shaded in Question 6 determined?\",\"answer\":\"Compute areas using circle and semicircle relationships with the given diameters, then subtract unshaded parts to obtain the shaded area, rounded to 1 decimal place.\"},{\"question\":\"What approach is used for Question 9 to solve for x and the lawn area?\",\"answer\":\"Set up equations using total area of lawn plus path, then derive a quadratic in x. After solving, use the result to compute the lawn area with clear algebraic working.\"}]","GCSE Mathematics Practice Tests Set 1 - Paper 3H(Calculator) - Solutions | PDF",48]