// Numbas version: finer_feedback_settings
{"name": "Summation notation 2 ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["x2", "x3", "x1", "x6", "x4", "x5"], "name": "Summation notation 2 ", "tags": ["rebel", "Rebel", "REBEL", "rebelmaths", "summation"], "preamble": {"css": "", "js": ""}, "advice": "<p>The symbol $\\Sigma$ means 'sum of' or 'total'.</p>\n<p></p>\n<p>$\\sum y&nbsp; $ means add up the&nbsp;$y$ values.&nbsp;&nbsp;</p>\n<p>$(\\sum y)^2 &nbsp;$&nbsp; means add up the $y$ values and then square your answer. <br/><br/></p>\n<p>$\\sum y^2 &nbsp;$ means square each of the $y$ values then add them up.</p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p>Find</p>\n<p>$\\sum y = $ &nbsp;[[0]]</p>\n<p>$(\\sum y)^2 = $ [[1]]</p>\n<p>$\\sum y^2 = $ [[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{x1}+{x2}+{x3}+{x4}+{x5}+{x6}", "minValue": "{x1}+{x2}+{x3}+{x4}+{x5}+{x6}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "({x1}+{x2}+{x3}+{x4}+{x5}+{x6})^2", "minValue": "({x1}+{x2}+{x3}+{x4}+{x5}+{x6})^2", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{x1}^2+{x2}^2+{x3}^2+{x4}^2+{x5}^2+{x6}^2", "minValue": "{x1}^2+{x2}^2+{x3}^2+{x4}^2+{x5}^2+{x6}^2", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Six adults spent {x1}, {x2}, {x3}, {x4}, {x5} and {x6} euros on lottery tickets last month. Let $y$ denote last month's lottery ticket expenses for an adult.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"x2": {"definition": "random(10..20#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x2", "description": ""}, "x3": {"definition": "random(2..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x3", "description": ""}, "x1": {"definition": "random(1..30#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x1", "description": ""}, "x6": {"definition": "random(5..20#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x6", "description": ""}, "x4": {"definition": "random(5..15#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x4", "description": ""}, "x5": {"definition": "random(2..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "x5", "description": ""}}, "metadata": {"description": "<p>Summation Notation</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "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/"}]}