[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-622430-105":59,"doc-detail-622430-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 set of nine practice questions designed as a lesson starter for engineering learners to improve their functional maths skills. The problems cover a variety of practical applications, including calculating total time for vehicle maintenance tasks, liquid mixing ratios for car maintenance, calculating costs for vehicle parts and tools, determining perimeter measurements for cable installation, calculating the mean time for pipe preparation, and managing logistics with weight limitations. Additionally, the document includes questions regarding VAT calculations and reverse verification methods. The content is structured to challenge students with real-world scenarios, requiring proficiency in arithmetic, geometry, and basic statistical analysis. By working through these problems, learners can apply mathematical concepts to common engineering and trade-related tasks, reinforcing their competency in core functional skills within a vocational context. 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The offer states that fitting is free when buying four, so no additional installation costs are incurred.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What steps are involved in calculating the total cost of the specified tool set?",{"text":117,"@type":113},"Identify the individual costs from the graph: Ratchet Drill (£14), File Set (£8), Tin Snips (£6), and three Hacksaws (£7 each). Sum these values: 14 + 8 + 6 + (3 * 7) = 49. The total cost is £49.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you calculate the total amount of mixed windscreen wash if the ratio of wash to water is 1:3?",{"text":121,"@type":113},"With a 750ml bottle of concentrated wash mixed in a 1:3 ratio, you add three parts water to one part concentrate. This results in 750ml of concentrate plus 2250ml of water, totaling 3000ml or 3 litres of mixed solution.","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},622430,1792699605,{"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":24,"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},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","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","cbCaisIWjFBx1pVU","https://ap.wps.com/l/cbCaisIWjFBx1pVU","pdf",159943,"English","# Lesson Starter Quiz Questions\n## Engineering Maths Problems","[{\"question\":\"How can you determine the total cost of replacing four summer tyres based on the provided offer?\",\"answer\":\"Since each tyre costs £76.99, you multiply this price by four. The offer states that fitting is free when buying four, so no additional installation costs are incurred.\"},{\"question\":\"What steps are involved in calculating the total cost of the specified tool set?\",\"answer\":\"Identify the individual costs from the graph: Ratchet Drill (£14), File Set (£8), Tin Snips (£6), and three Hacksaws (£7 each). Sum these values: 14 + 8 + 6 + (3 * 7) = 49. The total cost is £49.\"},{\"question\":\"How do you calculate the total amount of mixed windscreen wash if the ratio of wash to water is 1:3?\",\"answer\":\"With a 750ml bottle of concentrated wash mixed in a 1:3 ratio, you add three parts water to one part concentrate. This results in 750ml of concentrate plus 2250ml of water, totaling 3000ml or 3 litres of mixed solution.\"}]","Functional Skills Maths - Lesson Starter Quiz for Engineering Learners | PDF",1792466660]