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{"name": "00a - Engineering Arithmetic: 005", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"css": "", "js": ""}, "functions": {}, "statement": "<p>Using your calculator, or otherwise, calculate the following:</p>", "variables": {"e2": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "e2", "definition": "random(-1945 .. -1999#1)"}, "a2": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "a2", "definition": "-1*{a1}"}, "c1": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "c1", "definition": "{c2}*{c3}"}, "f1": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "f1", "definition": "random(-2 .. -10#1)"}, "a1a": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "a1a", "definition": "{a1}^(2)"}, "f4": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "f4", "definition": "random(-10 .. -15#1)"}, "e1": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "e1", "definition": "random(-333 .. -999#111)"}, "c3": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "c3", "definition": "random(-3 .. -9#1)"}, "c2": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "c2", "definition": "random(55 .. 90#1)"}, "a3": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "a3", "definition": "{a1}*{a2}"}, "f3": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "f3", "definition": "random(-6 .. -9#1)"}, "f5": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "f5", "definition": "{f1}*{f2}*{f3}*{f4}"}, "c1a": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "c1a", "definition": "{c1}*(-1)"}, "e3": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "e3", "definition": "{e1}-{e2}"}, "f2": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "f2", "definition": "random(-2 .. -9#1)"}, "a1": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "name": "a1", "definition": "random(-251 .. -351#1)"}}, "name": "00a - Engineering Arithmetic: 005", "rulesets": {}, "tags": [], "parts": [{"prompt": "<p>$(\\var{a1}) \\times (\\var{a2})=$[[0]]</p>", "sortAnswers": false, "useCustomName": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "useCustomName": false, "mustBeReducedPC": 0, "type": "numberentry", "maxValue": "{a3}", "correctAnswerStyle": "plain", "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "scripts": {}, "marks": 1, "minValue": "{a3}", "variableReplacements": [], "showFractionHint": true, "mustBeReduced": false, "allowFractions": false, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}], "unitTests": [], "scripts": {}, "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}, {"prompt": "<p>$(\\var{a1}) \\times (\\var{a1})=$[[0]]</p>", "sortAnswers": false, "useCustomName": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "useCustomName": false, "mustBeReducedPC": 0, "type": "numberentry", "maxValue": "{a1}*{a1}", "correctAnswerStyle": "plain", "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "scripts": {}, "marks": 1, "minValue": "{a1}*{a1}", "variableReplacements": [], "showFractionHint": true, "mustBeReduced": false, "allowFractions": false, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}], "unitTests": [], "scripts": {}, "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}, {"prompt": "<p>$(\\var{c1}) \\div (\\var{c2})=$[[0]]</p>", "sortAnswers": false, "useCustomName": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "useCustomName": false, "mustBeReducedPC": 0, "type": "numberentry", "maxValue": "{c3}", "correctAnswerStyle": "plain", "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "scripts": {}, "marks": 1, "minValue": "{c3}", "variableReplacements": [], "showFractionHint": true, "mustBeReduced": false, "allowFractions": false, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}], "unitTests": [], "scripts": {}, "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}, {"prompt": "<p>$\\Large \\frac{(\\var{c1})}{(\\var{c2})}=$[[0]]</p>", "sortAnswers": false, "useCustomName": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "useCustomName": false, "mustBeReducedPC": 0, "type": "numberentry", "maxValue": "{c3}", "correctAnswerStyle": "plain", "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "scripts": {}, "marks": 1, "minValue": "{c3}", "variableReplacements": [], "showFractionHint": true, "mustBeReduced": false, "allowFractions": false, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}], "unitTests": [], "scripts": {}, "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}, {"prompt": "<p>$(\\var{e1}) - (\\var{e2})=$[[0]]</p>", "sortAnswers": false, "useCustomName": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "useCustomName": false, "mustBeReducedPC": 0, "type": "numberentry", "maxValue": "{e3}", "correctAnswerStyle": "plain", "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "scripts": {}, "marks": 1, "minValue": "{e3}", "variableReplacements": [], "showFractionHint": true, "mustBeReduced": false, "allowFractions": false, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}], "unitTests": [], "scripts": {}, "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}, {"prompt": "<p>$(\\var{f1}) \\times (\\var{f2}) \\times (\\var{f3}) \\times (\\var{f4})=$[[0]]</p>", "sortAnswers": false, "useCustomName": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "useCustomName": false, "mustBeReducedPC": 0, "type": "numberentry", "maxValue": "{f5}", "correctAnswerStyle": "plain", "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "scripts": {}, "marks": 1, "minValue": "{f5}", "variableReplacements": [], "showFractionHint": true, "mustBeReduced": false, "allowFractions": false, "correctAnswerFraction": false, "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}], "unitTests": [], "scripts": {}, "marks": 0, "showFeedbackIcon": true, "variableReplacements": [], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "customName": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true}], "extensions": [], "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "<p>Using your calculator for these is much easier if you use the \"negative number\" button instead of the \"minus\" button.</p>\n<p>It is usually labelled as either&nbsp; &nbsp;[ (-) ]&nbsp; &nbsp;or&nbsp; &nbsp;[&nbsp; +/-&nbsp; ].</p>\n<p>a)&nbsp; &nbsp;$(\\var{a1}) \\times (\\var{a2})=\\var{a3}$</p>\n<p>b)&nbsp; &nbsp;$(\\var{a1}) \\times (\\var{a1})=\\var{a1a}$&nbsp; &nbsp;both numbers have the same sign so answer is positive</p>\n<p>c)&nbsp; &nbsp;$(\\var{c1}) \\div (\\var{c2})=\\var{c3}$</p>\n<p>d)&nbsp; &nbsp;This is the same as&nbsp; c)&nbsp; but written differently:</p>\n<p>\\[ \\frac{(\\var{c1})}{(\\var{c2})}=(\\var{c1}) \\div (\\var{c2})=\\var{c3}\\]</p>\n<p>&nbsp; &nbsp; &nbsp; It could also be written as&nbsp; &nbsp; $\\Large -\\frac{(\\var{c1a})}{(\\var{c2})} $&nbsp;&nbsp;</p>\n<p>e)&nbsp; &nbsp;$-(-)$&nbsp; gives&nbsp; $+$&nbsp; so&nbsp; $(\\var{e1}) - (\\var{e2})=\\var{e3}$</p>\n<p>f)&nbsp; &nbsp;There are an even number of negatives so the answer will be a positive number.</p>", "ungrouped_variables": ["a1", "a1a", "a2", "a3", "c3", "c2", "c1", "e1", "e2", "e3", "f1", "f2", "f3", "f4", "f5", "c1a"], "variable_groups": [], "metadata": {"description": "<p>Questions based on Exercise Intro(a) from the Textbook \"Engineering Maths through Applications\" by Kuldeep Singh.</p><p>Intended for use as Homework Exercises.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}]}]}], "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}]}