// Numbas version: exam_results_page_options
{"name": "VOORBEELDOPLOSSING: Maak een verhoudingstabel", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "VOORBEELDOPLOSSING: Maak een verhoudingstabel", "tags": [], "metadata": {"description": "<p>1) Randomiseer een waarde, bijvoorbeeld de prijs, en pas alles aan zodat het automatisch werkt.</p>\n<p>Een nuttig commando is <code>precround(...,2)</code> wat een getal op 2 cijfers na de komma afrondt.</p>\n<p>2) Randomiseer alle waardes. Het ideaalst lijkt mij het aantal initi&euml;le appels, de prijs van toen, en hoeveel appels je finaal zou kopen. Je kan dit doen door een lijst van goeie opties manueel in te geven, of door automatisch een goeie situatie te selecteren (moeilijker).</p>\n<p>Een nuttig commando is <code>gcd(a,b)</code> wat de grootste gemene deler geeft van 2 getallen (voor de middelste kolom in de verhoudingstabel).</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>Ik kocht net {initial_apples} appels voor &euro;{initial_price}. Hoeveel zouden {final_apples} appels me kosten?</p>", "advice": "<p>We starten met de onderstaande verhoudingstabel</p>\n<table style=\"border: 1px solid black; border-collapse: collapse; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 109px;\">aantal appels</td>\n<td style=\"width: 46px;\">{initial_apples}</td>\n<td style=\"width: 128px;\">{gcd_apples}</td>\n<td style=\"width: 117px;\">{final_apples}</td>\n</tr>\n<tr>\n<td style=\"width: 109px;\">prijs</td>\n<td style=\"width: 46px;\">&euro;{initial_price}</td>\n<td style=\"width: 128px;\"></td>\n<td style=\"width: 117px;\"></td>\n</tr>\n</tbody>\n</table>\n<p>Als we &euro;{initial_price} voor {initial_apples} appels betaalden, dan was het slechts \\(\\frac{1}{\\var{initial_apples/gcd_apples}}\\) van de prijs voor {gcd_apples} appel(s). Of dus, \\(\\frac{1}{\\var{initial_apples/gcd_apples}}\\times&euro;\\var{initial_price}=&euro;\\var{gcd_price}\\)</p>\n<p>Als we dan {final_apples} appels zouden kopen, dan is het eigenlijk \\(\\var{final_apples/gcd_apples}\\) keer {gcd_apples} appel(s) kopen. De prijs daarvoor is dus \\(\\var{final_apples/gcd_apples}\\times &euro;\\var{gcd_price}=&euro;\\var{final_price}\\).</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"initial_apples": {"name": "initial_apples", "group": "Ungrouped variables", "definition": "random(2..20#1)", "description": "<p># staat voor welke stap in de range genomen wordt</p>", "templateType": "anything", "can_override": false}, "prijs_per_appel": {"name": "prijs_per_appel", "group": "Ungrouped variables", "definition": "random(0.6..0.95#0.05)", "description": "", "templateType": "anything", "can_override": false}, "initial_price": {"name": "initial_price", "group": "Ungrouped variables", "definition": "precround(initial_apples*prijs_per_appel,2)", "description": "", "templateType": "anything", "can_override": false}, "final_apples": {"name": "final_apples", "group": "Ungrouped variables", "definition": "random(2..20#1)", "description": "<p>Kijk bij Variable Testing welke 'ongemakkelijke' situaties vermeden worden!</p>\n<p><code>not(gcd_apples=1 or gcd_apples=initial_apples or gcd_apples=final_apples)</code>&nbsp;</p>", "templateType": "anything", "can_override": false}, "gcd_apples": {"name": "gcd_apples", "group": "Ungrouped variables", "definition": "gcd(initial_apples,final_apples)", "description": "<p>Bij \"Variable testing\" zou je kunnen alle gevallen negeren waar de grootste gemene deler simpelweg 1 is. Of waar de grootste gemene deler gelijk is aan het initi&euml;le aantal appels.</p>", "templateType": "anything", "can_override": false}, "gcd_price": {"name": "gcd_price", "group": "Ungrouped variables", "definition": "precround(initial_price/(initial_apples/gcd_apples),2)", "description": "<p>Aannemend dat een leerling in het lager tussendoor zou afronden.</p>", "templateType": "anything", "can_override": false}, "final_price": {"name": "final_price", "group": "Ungrouped variables", "definition": "precround(gcd_price*(final_apples/gcd_apples),2)", "description": "<p>De huidige variabelen volgen sterk het patroon van wat een leerling waarschijnlijk doet. Je kan in principe ook altijd werken met de prijs_per_appel, want die is zo gekozen dat afronden nooit echt een probleem kan opleveren.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "not(gcd_apples=1 or gcd_apples=initial_apples or gcd_apples=final_apples)", "maxRuns": 100}, "ungrouped_variables": ["prijs_per_appel", "initial_apples", "initial_price", "gcd_apples", "gcd_price", "final_apples", "final_price"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Laat ons dit oplossen met een verhoudingstabel. Die ziet er zoals hieronder uit. Vervolledig de gaatjes!</p>\n<table style=\"border: 1px solid black; border-collapse: collapse; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 109px;\">aantal appels</td>\n<td style=\"width: 46px;\">{initial_apples}</td>\n<td style=\"width: 128px;\">{gcd_apples}</td>\n<td style=\"width: 117px;\">{final_apples}</td>\n</tr>\n<tr>\n<td style=\"width: 109px;\">prijs</td>\n<td style=\"width: 46px;\">&euro;{initial_price}</td>\n<td style=\"width: 128px;\">&euro;[[0]]</td>\n<td style=\"width: 117px;\">&euro;[[1]]</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "pergcdappels", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{gcd_price}", "maxValue": "{gcd_price}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "perfinalamountappels", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{final_price}", "maxValue": "{final_price}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Alexander Holvoet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19859/"}]}]}], "contributors": [{"name": "Alexander Holvoet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19859/"}]}