// Numbas version: exam_results_page_options
{"name": "Precedence of operators", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "variables": {"b": {"group": "Ungrouped variables", "templateType": "anything", "definition": "r*c^d", "name": "b", "description": ""}, "c": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..5)", "name": "c", "description": ""}, "i1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..5 except [c,f])", "name": "i1", "description": ""}, "t": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)", "name": "t", "description": ""}, "k": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..7)", "name": "k", "description": ""}, "d2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)", "name": "d2", "description": ""}, "l": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)", "name": "l", "description": ""}, "n": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..11)", "name": "n", "description": ""}, "h": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9)", "name": "h", "description": ""}, "f2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(1..11 except e2)", "name": "f2", "description": ""}, "a": {"group": "Ungrouped variables", "templateType": "anything", "definition": "(b/(c^d)) - e1*f^g +t*h*i1^j-t*k", "name": "a", "description": ""}, "p": {"group": "Ungrouped variables", "templateType": "anything", "definition": "q*s", "name": "p", "description": ""}, "a2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..11)", "name": "a2", "description": ""}, "q": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9)", "name": "q", "description": ""}, "e2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(1..11)", "name": "e2", "description": ""}, "e1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..8)", "name": "e1", "description": ""}, "d": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)", "name": "d", "description": ""}, "m": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(3..7)", "name": "m", "description": ""}, "j": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)", "name": "j", "description": ""}, "c2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..5)", "name": "c2", "description": ""}, "b2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(3..7)", "name": "b2", "description": ""}, "r": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9)", "name": "r", "description": ""}, "s": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(3..11)", "name": "s", "description": ""}, "f": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..5 except c)", "name": "f", "description": ""}, "g": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)", "name": "g", "description": ""}, "g2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..3)", "name": "g2", "description": ""}}, "ungrouped_variables": ["f2", "b2", "d2", "g2", "i1", "a2", "c2", "e1", "e2", "a", "c", "b", "d", "g", "f", "h", "k", "j", "m", "l", "n", "q", "p", "s", "r", "t"], "rulesets": {}, "name": "Precedence of operators", "showQuestionGroupNames": false, "functions": {}, "parts": [{"showCorrectAnswer": true, "allowFractions": false, "variableReplacementStrategy": "originalfirst", "minValue": "{t*(l-m*n+s)}", "prompt": "<p>$[(\\var{a}-\\var{b} \\div \\var{c}^\\var{d})+\\var{e1} \\times \\var{f}^\\var{g}] \\div (\\var{h} \\times \\var{i1}^\\var{j} -\\var{k}) \\times [\\var{l} -\\var{m} \\times \\var{n} + \\var{p} \\div \\var{q}]$</p>", "showPrecisionHint": false, "scripts": {}, "type": "numberentry", "correctAnswerFraction": false, "variableReplacements": [], "marks": 1, "maxValue": "{t*(l-m*n+s)}"}, {"showCorrectAnswer": true, "allowFractions": false, "variableReplacementStrategy": "originalfirst", "minValue": "{a2+b2*(-c2)^d2 +(e2-f2)^g2}", "prompt": "<p>$\\var{a2}+\\var{b2} \\times (\\var{-c2})^\\var{d2} +(\\var{e2}-\\var{f2})^\\var{g2}$</p>", "showPrecisionHint": false, "scripts": {}, "type": "numberentry", "correctAnswerFraction": false, "variableReplacements": [], "marks": 1, "maxValue": "{a2+b2*(-c2)^d2 +(e2-f2)^g2}"}], "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "<p>Evaluate the following expressions:</p>", "tags": ["BEDMAS", "BIDMAS", "BODMAS", "checked2015", "Precedence of Operators", "SFY0001"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "preamble": {"css": "", "js": ""}, "type": "question", "metadata": {"notes": "", "licence": "Creative Commons Attribution 4.0 International", "description": "<p>Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.</p>"}, "advice": "<p>First work through the expression from left to right, evaluating any expressions inside brackets, being careful to evaluate powers (indices) before MDAS. Thus:</p>\n<p>a)</p>\n<p>$[(\\var{a}-\\var{b} \\div \\var{c}^\\var{d})+\\var{e1} \\times \\var{f}^\\var{g}] \\div (\\var{h} \\times \\var{i1}^\\var{j} -\\var{k}) \\times [\\var{l} -\\var{m} \\times \\var{n} + \\var{p} \\div \\var{q}]$</p>\n<p>$=[(\\var{a}-\\var{b} \\div \\var{c^d})+\\var{e1} \\times \\var{f^g}] \\div (\\var{h} \\times \\var{i1^j} -\\var{k}) \\times [\\var{l} -\\var{m} \\times \\var{n} + \\var{p} \\div \\var{q}]$</p>\n<p>$=[(\\var{a}-\\var{b / (c^d)})+\\var{e1*f^g}] \\div (\\var{h * i1^j} -\\var{k}) \\times [\\var{l} -\\var{m*n} + \\var{p / q}]$</p>\n<p>$=[\\var{a-b / (c^d)+e1*f^g}] \\div (\\var{h * i1^j -k}) \\times [\\var{l -m*n + p / q}]=\\var{t*(l-m*n+s)}$</p>\n<p>b)</p>\n<p>$\\var{a2}+\\var{b2} \\times (\\var{-c2})^\\var{d2} +(\\var{e2}-\\var{f2})^\\var{g2}=\\var{a2}+\\var{b2} \\times (\\var{(-c2)^d2}) +(\\var{e2-f2})^\\var{g2}=\\var{a2}+\\var{b2*((-c2)^d2)} +\\var{(e2-f2)^g2}=\\var{a2+b2*(-c2)^d2 +(e2-f2)^g2}$</p>", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}