// Numbas version: exam_results_page_options
{"name": "More transposition", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"n3": {"description": "", "name": "n3", "group": "Ungrouped variables", "definition": "random(-7..7 except 0 n2)", "templateType": "anything"}, "n2": {"description": "", "name": "n2", "group": "Ungrouped variables", "definition": "random(-7..7 except 0)", "templateType": "anything"}, "n1": {"description": "", "name": "n1", "group": "Ungrouped variables", "definition": "random(2..6)", "templateType": "anything"}, "n4": {"description": "", "name": "n4", "group": "Ungrouped variables", "definition": "random(1..10)", "templateType": "anything"}}, "tags": ["Rebel", "REBEL", "rebel", "rebelmaths", "transpose", "transposition"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Another transposition question, which requires (basic) factorisation.</p>\n<p>rebelmaths</p>"}, "variable_groups": [], "statement": "", "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "type": "gapfill", "scripts": {}, "marks": 0, "prompt": "<p>Consider the equation:</p>\n<p>\\[\\simplify{x^{{n1}}*y + {n2}*y*x} = \\simplify{{n3}*y} + \\var{n4}\\]</p>\n<p>Re-arrange this equation to make $y$ the subject:</p>\n<p>$y = $[[0]]</p>", "showFeedbackIcon": true, "steps": [{"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "type": "information", "scripts": {}, "marks": 0, "prompt": "<p>It may be helpful to factor out y. For example:&nbsp;</p>\n<p>\\[\\simplify{x^{{n1}}*y+{n2}*y*x - {n3}*y}=y(\\simplify{x^{{n1}} + {n2}*x - {n3}})\\]</p>", "showFeedbackIcon": true, "showCorrectAnswer": true}], "gaps": [{"checkingaccuracy": 0.001, "vsetrangepoints": 5, "scripts": {}, "variableReplacements": [], "marks": "5", "variableReplacementStrategy": "originalfirst", "checkvariablenames": false, "showCorrectAnswer": true, "showpreview": true, "type": "jme", "answer": "{n4}/(x^{{n1}} + {n2}*x-{n3})", "showFeedbackIcon": true, "expectedvariablenames": [], "vsetrange": [0, 1], "checkingtype": "absdiff"}], "stepsPenalty": 0, "showCorrectAnswer": true}], "advice": "<p>Here, we first have to collect all terms involving $y$ on the same side. Hence, we get:</p>\n<p>\\[\\simplify{x^{{n1}}*y+{n2}*y*x - {n3}*y} = \\var{n4}\\]</p>\n<p>We then spot that $y$ appears exactly once in each term on the left, so factorise:</p>\n<p>\\[y(\\simplify{x^{{n1}} + {n2}*x - {n3}}) = \\var{n4}\\]</p>\n<p>and simple division gives the answer.</p>", "name": "More transposition", "ungrouped_variables": ["n1", "n2", "n3", "n4"], "preamble": {"css": "", "js": ""}, "extensions": [], "rulesets": {}, "type": "question", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}