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Questions include ordering configurations for electric cars with constraints, probability problems with dominoes, arithmetic vs geometric sequences, and exponential caffeine decay modeling.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/james-boswell-exam-vwo-mathematics-a-date-example-exam-1/513455/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/james-boswell-exam-vwo-mathematics-a-date-example-exam-1/513455.png","ImageObject",300,407,{"name":42,"@type":43},"Angel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-06",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the general exam presentation requirements?","Question",{"text":63,"@type":64},"Write your name on every sheet, start each question on a new sheet, and use legible blue or black non-erasable ink. 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The use of correction fluid (such as Tipp-Ex) and/or writing in pencil is not permitted. Use a pencil only to draw graphs and geometric figures.  \n• For each question, show how you obtained your answer by writing down a calculation or an explanation (also when using the graphing calculator) .  \nNo points will be awarded to an answer without a calculation or an explanation.  \n• When using special options of the graphing calculator (such as intersect or normalcdf), clearly write down which option you used and what you entered into the calculator.  \n• During the exam, you may use the following:  \no Graphing calculator.  \no Drawing instruments.  \no List of formulas (this will be provided to you at the exam) .  \no Dictionary, subject to the approval of the invigilator.  \nQuestion 1: Electric cars  \nChris wants to place an order for two electric cars of the same type: one for himself and one for his son.  \nYou have several options when ordering this car:  \n• For the paint colour you can choose between white, black, grey, blue or red.  \n• For the rims, you can choose between rimsof 19 inch or rims of 21 inch.  \n• For the colour of the interior you can choose between white, black or cream-coloured.  \nThe only requirement Chris has is that his own car has a different paint colour than his son’s car.  \n3p a Calculate how many different orders Chris can place that satisfy his requirement.  \nThe mechanical power output of a car engine depends on the speed of the car. For the cars that Chris wants to buy, the following formula holds:  \n􀜲 = 0 .00002 ⋅ 􀝒 3 − 0.0025 ⋅ 􀝒 2 + 0.24 ⋅ 􀝒  \nHere 􀜲 is the mechanical power output in kilowatts and 􀝒 is the speed in km per hour. The formula is only valid for 20 ≤ 􀝒 ≤ 140.  \nIn figure 1 the graph of 􀜲 has been drawn.  \n3p b Calculate by what percentage the mechanical power output increases from 100 km per hour to 130 km per hour. Round place.  \nfigure 1  \nincreases when the speed your answer to one decimal  \nThe energy consumption of the cars that Chris wants to buy is expressed in kilowatt-hours per 100 km. The energy consumption 􀜧 can be calculated with the formula:  \n􀜧 =  \n100 ⋅ 􀜲  \n􀝒  \n􀜧  \n3p  \n3p  \nc  \nd  \nIn figure 2 the graph of 􀜧 has been drawn.  \nYou can combine the given formulas for 􀜲 and 􀜧  \nto a formula of the form: 􀜧 = 􀜽􀝒 2 + 􀜾􀝒 + 􀜿 . figure 2  \nCalculate the values of 􀜽, 􀜾 and 􀜿 .  \nAt a speed of 62 .5 km per hour, the energy consumption is minimal.  \nExplain, using the graph of the derivative of 􀜧 , that for 􀝒 > 62. 5 the graph of 􀜧 is increasing.  \n􀝒  \nQuestion 2: Dominos  \nThe game of dominos is played with 28 domino pieces. Every domino consists of two  \nhalves, each of which contains either 0, 1, 2, 3, 4, 5 or 6 dots. In the figure below you see all  \n28 different dominos. The figure is enlarged on the supplement to this exam. There are seven so-called doubles among the dominos: those are the dominos with the same number of dots on both halves.  \nKim and Lucas play dominos together. At the beginning of the game they put all 28 dominos upside down on the table. Then they take turns to draw seven dominos blindly. Kim is the first to take seven dominoes.  \n3p a Calculate the probability that Kim does not draw any double. Round your answer to three decimal places.  \nKim looks at the dominos she has drawn. It turns out that she drew one double: the domino with 5 dots on both halves. According to the rules of the game, the player with‘highest’ double may start the game. This means that Lucas may only start the game if he draws the domino with 6 dots on both halves.  \n3p b Calculate the probability that Lucas ma","cbCaisaDXj0yOOuf","https://ap.wps.com/l/cbCaisaDXj0yOOuf","pdf",828641,"English","# Question 1: Electric cars\n## 1a\n## 1b\n## 1c\n## 1d\n# Question 2: Dominos\n## 2a\n## 2b\n## 2c\n# Question 3: Arithmetic and geometric\n## 3a\n## 3b\n# Question 4: Coffee\n## 4a","[{\"question\":\"What are the general exam presentation requirements?\",\"answer\":\"Write your name on every sheet, start each question on a new sheet, and use legible blue or black non-erasable ink. Correction fluid and pencil are not permitted except for drawing graphs and geometric figures.\"},{\"question\":\"What materials are allowed during the exam?\",\"answer\":\"You may use a graphing calculator, drawing instruments, a list of formulas provided at the exam, and a dictionary if approved by the invigilator.\"},{\"question\":\"How is scoring handled when answers lack working?\",\"answer\":\"No points are awarded to an answer without a calculation or an explanation, including when using a graphing calculator.\"}]","James Boswell Exam VWO Mathematics A - Date: Example exam 1 | PDF",1791285450,25]