// Numbas version: exam_results_page_options
{"name": "Numbas demo: Randomisation", "extensions": ["random_person"], "custom_part_types": [], "resources": [["question-resources/numbas-randomised-prices_PqUkZL7.svg", "/srv/numbas/media/question-resources/numbas-randomised-prices_PqUkZL7.svg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Numbas demo: Randomisation", "tags": [], "metadata": {"description": "<p>Demonstration of randomisation: many elements in this question are randomised. The names of the products and clients are randomly chosen, as are the prices and order amounts.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p><em>Numbas can randomise every element of a question. In this question, the names of the products and people are randomly chosen, as well as the prices and order amounts.</em></p>\n<p><em><a href=\"https://numbas.mathcentre.ac.uk/question/125038/numbas-demo-randomisation/\">See this question in the public editor</a>.</em></p>\n<hr/>\n<p>The Newcastle Calculating Machines Emporium sells a variety of devices for performing calculations. Their two most popular products are <strong>{name_x}</strong> and <strong>{name_y}</strong>.</p>", "advice": "<h3>a)</h3>\n<p>The formula for the total cost of an order is</p>\n<p>\\[ \\simplify{{price_x}*{initial_x} + {price_y}*{initial_y}} \\]</p>\n<h3>b)</h3>\n<p>The order totals are as follows:</p>\n<p>{table(zip(names,total_costs),[\"Client\",\"Order total (&pound;)\"])}</p>", "rulesets": {}, "extensions": ["random_person"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"num_people": {"name": "num_people", "group": "Ungrouped variables", "definition": "5", "description": "", "templateType": "anything", "can_override": false}, "price_x, price_y": {"name": "price_x, price_y", "group": "Ungrouped variables", "definition": "shuffle(2..6)", "description": "<p>The prices of the products. They are never equal.</p>", "templateType": "anything", "can_override": false}, "orders": {"name": "orders", "group": "Ungrouped variables", "definition": "repeat(shuffle(0..10)[0..2],num_people)", "description": "<p>For each person, how much of each product they ordered. Each quantity is distinct</p>", "templateType": "anything", "can_override": false}, "all_product_names": {"name": "all_product_names", "group": "Ungrouped variables", "definition": "[ \"Calculon\", \"Subtractrix\", \"Addios\", \"Factroid\", \"Plustre\" ]", "description": "<p>Possible product names. They each start with a different letter.</p>", "templateType": "list of strings", "can_override": false}, "total_costs": {"name": "total_costs", "group": "Ungrouped variables", "definition": "map(\n  eval(cost_formula,dict([[string(initial_x),x],[string(initial_y),y]])),\n  [x,y],\n  orders\n)", "description": "<p>The total cost of each person's order.</p>", "templateType": "anything", "can_override": false}, "name_x, name_y": {"name": "name_x, name_y", "group": "Ungrouped variables", "definition": "shuffle(all_product_names)", "description": "<p>The names of the two products.</p>", "templateType": "anything", "can_override": false}, "order_table_data": {"name": "order_table_data", "group": "Ungrouped variables", "definition": "map([name]+order,[name,order],zip(names,orders))", "description": "<p>The data for the table: the person's name, then the quantities of each product ordered.</p>", "templateType": "anything", "can_override": false}, "names": {"name": "names", "group": "Ungrouped variables", "definition": "map(p[\"name\"],p,random_people_with_different_initials(num_people))", "description": "<p>Names for the people. They each start with a different letter.</p>", "templateType": "anything", "can_override": false}, "initial_x,initial_y": {"name": "initial_x,initial_y", "group": "Ungrouped variables", "definition": "map(name(lower(name[0])),name,[name_x,name_y])", "description": "<p>Variable names to use for the two products.</p>", "templateType": "anything", "can_override": false}, "cost_formula": {"name": "cost_formula", "group": "Ungrouped variables", "definition": "substitute([\"price_x\":price_x, \"price_y\": price_y, \"x\": initial_x, \"y\": initial_y],expression(\"price_x * x + price_y*y\"))", "description": "<p>The formula for the total cost of an order.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["price_x, price_y", "name_x, name_y", "initial_x,initial_y", "num_people", "names", "orders", "order_table_data", "all_product_names", "cost_formula", "total_costs"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "information", "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>Here is a page from the Emporium's latest catalogue:</p>\n<p><img style=\"max-width: 20em; display: block; margin-left: auto; margin-right: auto;\" src=\"resources/question-resources/numbas-randomised-prices_PqUkZL7.svg\" alt=\"{name_x}: &pound;{price_x}. {name_y}: &pound;{price_y}.\"/></p>"}, {"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>Write a formula for the total cost of an order of $\\var{initial_x}$ {name_x} units and $\\var{initial_y}$ {name_y} units.</p>\n<p>Total cost = [[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{price_x}*{initial_x} + {price_y}*{initial_y}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": []}], "sortAnswers": false}, {"type": "information", "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>The last 5 orders from the Newcastle Calculating Machines Emporium are shown below.</p>\n<p>{table(order_table_data,[\"Client\",name_x,name_y])}</p>"}, {"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>Calculate the total cost of each order.</p>\n<table>\n<thead>\n<tr>\n<th>Client</th>\n<th>Order total (&pound;)</th>\n</tr>\n</thead>\n<tbody>\n<tr>\n<td>{names[0]}</td>\n<td>[[0]]</td>\n</tr>\n<tr>\n<td>{names[1]}</td>\n<td>[[1]]</td>\n</tr>\n<tr>\n<td>{names[2]}</td>\n<td>[[2]]</td>\n</tr>\n<tr>\n<td>{names[3]}</td>\n<td>[[3]]</td>\n</tr>\n<tr>\n<td>{names[4]}</td>\n<td>[[4]]</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "{names[0]}", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "cost_formula", "part": "p1", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "total_costs[0]", "maxValue": "total_costs[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "{names[1]}", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "cost_formula", "part": "p1", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "total_costs[1]", "maxValue": "total_costs[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "{names[2]}", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "cost_formula", "part": "p1", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "total_costs[2]", "maxValue": "total_costs[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "{names[3]}", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "cost_formula", "part": "p1", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "total_costs[3]", "maxValue": "total_costs[3]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "{names[4]}", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "cost_formula", "part": "p1", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "total_costs[4]", "maxValue": "total_costs[4]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}