[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-620627-105":59,"doc-detail-620627-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","functional-skills-maths-lesson-starter-quiz-for-engineering-learners","Functional Skills Maths - Lesson Starter Quiz for Engineering Learners","","This document provides a collection of nine practical mathematics assessment questions tailored for engineering students. It covers various essential topics including time management and scheduling, ratio and proportion in mixtures, geometric perimeter calculations, unit cost analysis using graphical data, statistical mean calculation, and basic financial mathematics involving VAT and volume capacity. The material is designed to test real-world application of functional maths skills within an engineering context, requiring learners to perform multi-step arithmetic, interpret data visualizations, and apply reverse checking methods. These exercises are suitable for classroom practice or assessment review to reinforce fundamental mathematical concepts necessary for technical trades and mechanical work.",{"@graph":69,"@context":122},[70,84,105],{"@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/functional-skills-maths-lesson-starter-quiz-for-engineering-learners/620627/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/functional-skills-maths-lesson-starter-quiz-for-engineering-learners/620627.png","ImageObject",300,407,{"name":92,"@type":93},"Riley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you calculate the total cost for the specified set of tools based on the graph?","Question",{"text":112,"@type":113},"To calculate the total, identify the price for each item from the graph (Ratchet Drill £14, File Set £8, Tin Snips £6, and three Hacksaws at £7 each), sum them up, and arrive at the final total of £49.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the total cost to purchase four summer tyres given the provided offer?",{"text":117,"@type":113},"The cost for four summer tyres is £307.96, calculated by multiplying the unit price of £76.99 by four, with the benefit of free fitting.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the mean time calculated for deburring the five copper pipes?",{"text":121,"@type":113},"The mean is calculated by summing the times for all five pipes (25, 17, 13, 21, and 19 minutes) to get 95, then dividing that total by the number of pipes, resulting in a mean time of 19 minutes.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},620627,1792698138,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":81,"preview_page_count":4},1374391975076,"https://ap-avatar.wpscdn.com/avatar/14000253ca4ec9f6853?x-image-process=image/resize,m_fixed,w_180,h_180&k=1783305029341752051","Functional Skills Maths | Lesson Starter Quiz for Engineering  \nLearners  \n\n| 1. Rashid is working as a car mechanic. He has the following jobs.\u003Cbr>• Change Oil – ¾ hour\u003Cbr>• Service – 1 hour 40 minutes\u003Cbr>• Change Coolant – 30 minutes\u003Cbr>How long will it take him to do these jobs?\u003Cbr>(1) | 2. Shirley is adding windscreen wash to her car. She has a 750ml bottle of concentrated wash.\u003Cbr>It needs to be mixed in the ratio 1 : 3 windscreen wash to water.\u003Cbr>How many litres of mixed wash will she have in total?\u003Cbr>(1) | 3. Emma needs to buy new summer tyres. She sees an offer\u003Cbr>\u003Cbr>How much would it cost to replace all four tyres?\u003Cbr>(1) |\n| --- | --- | --- |\n| 4. Nelly needs to run cable completely around a rectangular room that measures 5. 26m x 3.76m.\u003Cbr>How much cable will she need?\u003Cbr>(1) | 5. Using the following graph, how much would it cost to a ratchet drill, a file set, one set of tin snips and three hacksaws?\u003Cbr>\u003Cbr>(1) | 6. Jamie has recorded the time it has taken them to deburr 5 copper pipes in minutes\u003Cbr>• Pipe 1 – 25\u003Cbr>• Pipe 2 – 17\u003Cbr>• Pipe 3 – 13\u003Cbr>• Pipe 4 – 21\u003Cbr>• Pipe 5 – 19\u003Cbr>What is the mean time they took?\u003Cbr>(1) |\n| 7. You need to deliver copper pipes to a customer.\u003Cbr>You know how much each pipe weighs and how much weight your van will hold?\u003Cbr>How would you work out how many pipes you could take in a journey?\u003Cbr>(1) | 8. Your college is buying drill gauges. A single gauge costs £2.75 plus VAT.\u003Cbr>VAT is 20%\u003Cbr>How much would it cost to buy 5 drill gauges?\u003Cbr>(1) | 9. Use a reverse calculation to check your answer to question 6.\u003Cbr>(1) |\n\nTotal Marks:   / 9","cbCaivGrM5HxCCnI","https://ap.wps.com/l/cbCaivGrM5HxCCnI","pdf",160000,"English","# Engineering Maths Lesson Starter Quiz\n## Problem Set\n## Total Assessment Marks","[{\"question\":\"How do you calculate the total cost for the specified set of tools based on the graph?\",\"answer\":\"To calculate the total, identify the price for each item from the graph (Ratchet Drill £14, File Set £8, Tin Snips £6, and three Hacksaws at £7 each), sum them up, and arrive at the final total of £49.\"},{\"question\":\"What is the total cost to purchase four summer tyres given the provided offer?\",\"answer\":\"The cost for four summer tyres is £307.96, calculated by multiplying the unit price of £76.99 by four, with the benefit of free fitting.\"},{\"question\":\"How is the mean time calculated for deburring the five copper pipes?\",\"answer\":\"The mean is calculated by summing the times for all five pipes (25, 17, 13, 21, and 19 minutes) to get 95, then dividing that total by the number of pipes, resulting in a mean time of 19 minutes.\"}]","Functional Skills Maths - Lesson Starter Quiz for Engineering Learners | PDF",1792464365]