// Numbas version: exam_results_page_options
{"name": "Numbas tutorial: arithmetic (finished)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "rulesets": {"std": ["all", "fractionnumbers"]}, "advice": "<h4>a)</h4>\n<p>$\\var{a}+\\var{b} = \\var{a+b}$</p>\n<h4>b)</h4>\n<p>$\\var{a} \\times \\var{b} = \\var{a*b}$</p>\n<h4>c)</h4>\n<p>Using the method of completing the square:</p>\n<p>\\begin{align} <br/>\\simplify{x^2 + {qb}*x + {qc}} = \\simplify[std]{(x+{qb/2})^2 - {qb^2/4} + {qc}} &amp;= \\simplify[std]{(x+{qb/2})^2}-\\left(\\simplify[std]{({sqrt(qb^2/4 - qc)})}\\right)^2 \\\\<br/>&amp;= \\simplify[std,!collectNumbers]{(x+{qb/2}-{sqrt(qb^2/4 - qc)})(x+{qb/2}+{sqrt(qb^2/4 - qc)})} &amp; \\text{(difference of two squares)} \\\\<br/>&amp;= \\simplify[std]{(x+{qb/2}-{sqrt(qb^2/4 - qc)})(x+{qb/2}+{sqrt(qb^2/4 - qc)})} &nbsp;<br/>\\end{align}</p>", "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["a", "b", "c", "d", "x0", "x1", "qb", "qc"], "functions": {}, "statement": "", "preamble": {"css": "", "js": ""}, "tags": [], "variables": {"d": {"name": "d", "description": "", "group": "Ungrouped variables", "definition": "random(-9..9)", "templateType": "anything"}, "qb": {"name": "qb", "description": "", "group": "Ungrouped variables", "definition": "//coefficient of the x term in the quadratic\n    x0+x1", "templateType": "anything"}, "b": {"name": "b", "description": "", "group": "Ungrouped variables", "definition": "random(1..9)", "templateType": "anything"}, "x0": {"name": "x0", "description": "", "group": "Ungrouped variables", "definition": "// first root of the quadratic\n    random(-9..9 except 0)", "templateType": "anything"}, "c": {"name": "c", "description": "", "group": "Ungrouped variables", "definition": "random(-9..9)", "templateType": "anything"}, "qc": {"name": "qc", "description": "", "group": "Ungrouped variables", "definition": "//the constant term in the quadratic\n    x0*x1", "templateType": "anything"}, "a": {"name": "a", "description": "", "group": "Ungrouped variables", "definition": "random(1..9)", "templateType": "anything"}, "x1": {"name": "x1", "description": "", "group": "Ungrouped variables", "definition": "// the other root of the quadratic\n    // use `except x0` to avoid repeated roots\n    random(-9..9 except [x0,0])", "templateType": "anything"}}, "extensions": [], "name": "Numbas tutorial: arithmetic (finished)", "parts": [{"minValue": "a+b", "mustBeReduced": false, "variableReplacementStrategy": "originalfirst", "scripts": {}, "variableReplacements": [], "maxValue": "a+b", "type": "numberentry", "correctAnswerFraction": false, "marks": 1, "prompt": "<p>What is $\\var{a}+\\var{b}$?</p>", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "mustBeReducedPC": 0}, {"minValue": "c*d", "mustBeReduced": false, "variableReplacementStrategy": "originalfirst", "scripts": {}, "variableReplacements": [], "maxValue": "c*d", "type": "numberentry", "correctAnswerFraction": false, "marks": 1, "prompt": "<p>What is $\\var{c} \\times \\var{d}$?</p>", "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "mustBeReducedPC": 0}, {"notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["^"]}, "vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "scripts": {}, "answer": "(x+{x0})(x+{x1})", "vsetrangepoints": 5, "variableReplacements": [], "musthave": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["(", ")"]}, "type": "jme", "expectedvariablenames": [], "marks": 1, "prompt": "<p>Factorise $\\simplify{ x^2 + {x0+x1}*x + {x0*x1} }$.</p>", "showCorrectAnswer": true, "showFeedbackIcon": true, "checkvariablenames": false, "showpreview": true, "checkingtype": "absdiff", "checkingaccuracy": 0.001}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>The question created during the \"Write your first question\" tutorial.</p>"}, "type": "question", "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/"}]}