// Numbas version: exam_results_page_options
{"showstudentname": true, "showQuestionGroupNames": false, "navigation": {"onleave": {"action": "none", "message": ""}, "startpassword": "", "allowregen": true, "showresultspage": "oncompletion", "browse": true, "preventleave": true, "showfrontpage": true, "reverse": true}, "question_groups": [{"pickingStrategy": "all-ordered", "pickQuestions": 1, "name": "Group", "questions": [{"name": "00a - Engineering Arithmetic: 001", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}], "preamble": {"css": "", "js": ""}, "variable_groups": [], "advice": "<p>a)&nbsp; &nbsp;On the number line,&nbsp; $\\var{a1}$&nbsp; lies to the right of&nbsp; $\\var{a2}$&nbsp; so&nbsp; &nbsp; $\\var{a1}&gt;\\var{a2}$.</p>\n<p>b)&nbsp; &nbsp;This is the reverse of a) so&nbsp; &nbsp; $\\var{a2}&lt;\\var{a1}$.</p>\n<p>c)&nbsp; &nbsp;$\\var{c2}$&nbsp; is to the left of&nbsp; $\\var{c1}$&nbsp; so&nbsp; &nbsp;$\\var{c1}&lt;\\var{c2}$.</p>\n<p>d)&nbsp; &nbsp;$\\var{d}$&nbsp; is equal to&nbsp; $\\var{d}$,&nbsp; &nbsp;hence&nbsp; &nbsp; $\\var{d}=\\var{d}$.</p>\n<p>e)&nbsp; &nbsp;Clearly,&nbsp; $\\var{e1}$&nbsp; is less than&nbsp; $0$,&nbsp; so&nbsp; $\\var{e1}&lt;0$.</p>", "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "<p>Fill in the most appropriate symbol&nbsp; $&lt;$,&nbsp; $\\le$,&nbsp; $&gt;$,&nbsp; &nbsp;$\\ge$&nbsp; or&nbsp; $=$ :</p>", "parts": [{"variableReplacementStrategy": "originalfirst", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "prompt": "<p>$\\var{a1}$ [[0]]$\\var{a2}$</p>", "gaps": [{"variableReplacementStrategy": "originalfirst", "matchMode": "exact", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "useCustomName": false, "customName": "", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "answer": ">", "type": "patternmatch", "marks": 1, "showFeedbackIcon": true, "displayAnswer": ""}], "useCustomName": false, "customName": "", "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "gapfill", "marks": 0, "showFeedbackIcon": true}, {"variableReplacementStrategy": "originalfirst", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "prompt": "<p>$\\var{a2}$[[0]]$\\var{a1}$</p>", "gaps": [{"variableReplacementStrategy": "originalfirst", "matchMode": "exact", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "useCustomName": false, "customName": "", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "answer": "<", "type": "patternmatch", "marks": 1, "showFeedbackIcon": true, "displayAnswer": ""}], "useCustomName": false, "customName": "", "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "gapfill", "marks": 0, "showFeedbackIcon": true}, {"variableReplacementStrategy": "originalfirst", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "prompt": "<p>$\\var{c1}$ [[0]]$\\var{c2}$</p>", "gaps": [{"variableReplacementStrategy": "originalfirst", "matchMode": "exact", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "useCustomName": false, "customName": "", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "answer": ">", "type": "patternmatch", "marks": 1, "showFeedbackIcon": true, "displayAnswer": ""}], "useCustomName": false, "customName": "", "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "gapfill", "marks": 0, "showFeedbackIcon": true}, {"variableReplacementStrategy": "originalfirst", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "prompt": "<p>$\\var{d}$ [[0]]$\\var{d}$</p>", "gaps": [{"variableReplacementStrategy": "originalfirst", "matchMode": "exact", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "useCustomName": false, "customName": "", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "answer": "=", "type": "patternmatch", "marks": 1, "showFeedbackIcon": true, "displayAnswer": ""}], "useCustomName": false, "customName": "", "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "gapfill", "marks": 0, "showFeedbackIcon": true}, {"variableReplacementStrategy": "originalfirst", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "prompt": "<p>$\\var{e1}$ [[0]]$0$</p>\n<p></p>", "gaps": [{"variableReplacementStrategy": "originalfirst", "matchMode": "regex", "variableReplacements": [], "unitTests": [], "scripts": {}, "showCorrectAnswer": true, "useCustomName": false, "customName": "", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "answer": ">", "type": "patternmatch", "marks": 1, "showFeedbackIcon": true, "displayAnswer": ""}], "useCustomName": false, "customName": "", "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "gapfill", "marks": 0, "showFeedbackIcon": true}], "metadata": {"licence": "All rights reserved", "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>"}, "functions": {}, "variables": {"c2": {"group": "Ungrouped variables", "definition": "-0.5*{c1}", "description": "", "templateType": "anything", "name": "c2"}, "c1": {"group": "Ungrouped variables", "definition": "random(2 .. 18#2)", "description": "", "templateType": "randrange", "name": "c1"}, "a2": {"group": "Ungrouped variables", "definition": "-1*{a1}", "description": "", "templateType": "anything", "name": "a2"}, "d": {"group": "Ungrouped variables", "definition": "random(-25..25 except 0)", "description": "", "templateType": "anything", "name": "d"}, "a1": {"group": "Ungrouped variables", "definition": "random(10 .. 25#1)", "description": "", "templateType": "randrange", "name": "a1"}, "e1": {"group": "Ungrouped variables", "definition": "random(3 .. 11#0.5)", "description": "", "templateType": "randrange", "name": "e1"}}, "rulesets": {}, "ungrouped_variables": ["a1", "a2", "c1", "c2", "d", "e1"], "tags": []}, {"name": "00a - Engineering Arithmetic: 002", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}], "preamble": {"js": "", "css": ""}, "variable_groups": [], "advice": "<p>a)&nbsp; &nbsp;$\\var{a1}+\\var{a2}=\\var{a3}$</p>\n<p>b)&nbsp; &nbsp;It has to be the subtraction symbol because&nbsp; $-(-)$&nbsp; makes a&nbsp; $+$&nbsp; &nbsp;and&nbsp; &nbsp;$\\var{b1}+\\var{b2a}=\\var{b3}$</p>\n<p>c)&nbsp; &nbsp;$\\var{c3} \\div \\var{c2}=\\var{c1}$</p>\n<p>d)&nbsp; &nbsp;How can we make&nbsp; $\\var{d3}$&nbsp; out of&nbsp; $\\var{d1}$&nbsp; and&nbsp;&nbsp;$\\var{d2}$?</p>\n<p>&nbsp; &nbsp; &nbsp; By multiplication, also minus times minus gives plus. Thus&nbsp; &nbsp;$\\var{d1} \\times \\var{d2}=\\var{d3}$</p>\n<p>e)&nbsp; &nbsp;$\\var{e1}$&nbsp; add&nbsp; $\\var{e2a}$&nbsp; gives&nbsp; $\\var{e3}$.&nbsp; This can only be achieved by using a subtraction symbol between the two numbers because&nbsp; &nbsp;$-(\\var{e2}$&nbsp; &nbsp;gives&nbsp; &nbsp;$\\var{e2a}$.</p>\n<p>&nbsp; &nbsp; &nbsp; Therefore:&nbsp;&nbsp;$\\var{e1}-(\\var{e2})=\\var{e3}$</p>", "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["a1", "a2", "a3", "b1", "b2", "b2a", "b3", "c1", "c2", "c3", "d1", "d2", "d3", "e1", "e2", "e3", "e2a"], "parts": [{"extendBaseMarkingAlgorithm": true, "gaps": [{"minMarks": 0, "extendBaseMarkingAlgorithm": true, "maxMarks": 0, "showCorrectAnswer": true, "distractors": ["", "", "", ""], "shuffleChoices": true, "customMarkingAlgorithm": "", "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "showCellAnswerState": true, "displayType": "radiogroup", "customName": "", "scripts": {}, "variableReplacements": [], "matrix": ["1", 0, 0, 0], "unitTests": [], "showFeedbackIcon": true, "choices": ["$+$", "$-$", "$\\div$", "$\\times$"], "marks": 0, "useCustomName": false}], "showCorrectAnswer": true, "prompt": "<p>$\\var{a1}$&nbsp; ??&nbsp; $\\var{a2}=\\var{a3}$</p>\n<p>[[0]]</p>", "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "customName": "", "scripts": {}, "variableReplacements": [], "unitTests": [], "marks": 0, "useCustomName": false, "sortAnswers": false}, {"extendBaseMarkingAlgorithm": true, "gaps": [{"minMarks": 0, "extendBaseMarkingAlgorithm": true, "maxMarks": 0, "showCorrectAnswer": true, "distractors": ["", "", "", ""], "shuffleChoices": true, "customMarkingAlgorithm": "", "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "showCellAnswerState": true, "displayType": "radiogroup", "customName": "", "scripts": {}, "variableReplacements": [], "matrix": [0, "1", 0, 0], "unitTests": [], "showFeedbackIcon": true, "choices": ["$+$", "$-$", "$\\div$", "$\\times$"], "marks": 0, "useCustomName": false}], "showCorrectAnswer": true, "prompt": "<p>$\\var{b1}$&nbsp; ??&nbsp; $\\var{b2}=\\var{b3}$</p>\n<p>[[0]]</p>", "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "customName": "", "scripts": {}, "variableReplacements": [], "unitTests": [], "marks": 0, "useCustomName": false, "sortAnswers": false}, {"extendBaseMarkingAlgorithm": true, "gaps": [{"minMarks": 0, "extendBaseMarkingAlgorithm": true, "maxMarks": 0, "showCorrectAnswer": true, "distractors": ["", "", "", ""], "shuffleChoices": true, "customMarkingAlgorithm": "", "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "showCellAnswerState": true, "displayType": "radiogroup", "customName": "", "scripts": {}, "variableReplacements": [], "matrix": [0, 0, "1", 0], "unitTests": [], "showFeedbackIcon": true, "choices": ["$+$", "$-$", "$\\div$", "$\\times$"], "marks": 0, "useCustomName": false}], "showCorrectAnswer": true, "prompt": "<p>$\\var{c3}$&nbsp; ??&nbsp; $\\var{c2}=\\var{c1}$</p>\n<p>[[0]]</p>", "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "customName": "", "scripts": {}, "variableReplacements": [], "unitTests": [], "marks": 0, "useCustomName": false, "sortAnswers": false}, {"extendBaseMarkingAlgorithm": true, "gaps": [{"minMarks": 0, "extendBaseMarkingAlgorithm": true, "maxMarks": 0, "showCorrectAnswer": true, "distractors": ["", "", "", ""], "shuffleChoices": true, "customMarkingAlgorithm": "", "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "showCellAnswerState": true, "displayType": "radiogroup", "customName": "", "scripts": {}, "variableReplacements": [], "matrix": [0, 0, 0, "1"], "unitTests": [], "showFeedbackIcon": true, "choices": ["$+$", "$-$", "$\\div$", "$\\times$"], "marks": 0, "useCustomName": false}], "showCorrectAnswer": true, "prompt": "<p>$\\var{d1}$&nbsp; ??&nbsp; $\\var{d2}=\\var{d3}$</p>\n<p>[[0]]</p>", "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "customName": "", "scripts": {}, "variableReplacements": [], "unitTests": [], "marks": 0, "useCustomName": false, "sortAnswers": false}, {"extendBaseMarkingAlgorithm": true, "gaps": [{"minMarks": 0, "extendBaseMarkingAlgorithm": true, "maxMarks": 0, "showCorrectAnswer": true, "distractors": ["", "", "", ""], "shuffleChoices": true, "customMarkingAlgorithm": "", "type": "1_n_2", "variableReplacementStrategy": "originalfirst", "displayColumns": 0, "showCellAnswerState": true, "displayType": "radiogroup", "customName": "", "scripts": {}, "variableReplacements": [], "matrix": [0, "1", 0, 0], "unitTests": [], "showFeedbackIcon": true, "choices": ["$+$", "$-$", "$\\div$", "$\\times$"], "marks": 0, "useCustomName": false}], "showCorrectAnswer": true, "prompt": "<p>$\\var{e1}$&nbsp; ??&nbsp; $\\var{e2}=\\var{e3}$</p>\n<p>[[0]]</p>", "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "customName": "", "scripts": {}, "variableReplacements": [], "unitTests": [], "marks": 0, "useCustomName": false, "sortAnswers": false}], "tags": [], "rulesets": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "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>"}, "variables": {"d3": {"name": "d3", "templateType": "anything", "description": "", "definition": "{d1}*{d2}", "group": "Ungrouped variables"}, "b3": {"name": "b3", "templateType": "anything", "description": "", "definition": "{b1}-{b2}", "group": "Ungrouped variables"}, "e3": {"name": "e3", "templateType": "anything", "description": "", "definition": "{e1}-{e2}", "group": "Ungrouped variables"}, "e1": {"name": "e1", "templateType": "randrange", "description": "", "definition": "random(-3 .. -15#1)", "group": "Ungrouped variables"}, "a2": {"name": "a2", "templateType": "randrange", "description": "", "definition": "random(15 .. 29#1)", "group": "Ungrouped variables"}, "b2": {"name": "b2", "templateType": "randrange", "description": "", "definition": "random(-2 .. -15#1)", "group": "Ungrouped variables"}, "a1": {"name": "a1", "templateType": "randrange", "description": "<p>a1</p>", "definition": "random(22 .. 36#1)", "group": "Ungrouped variables"}, "a3": {"name": "a3", "templateType": "anything", "description": "", "definition": "{a1}+{a2}", "group": "Ungrouped variables"}, "b2a": {"name": "b2a", "templateType": "anything", "description": "", "definition": "{b2}*(-1)", "group": "Ungrouped variables"}, "d2": {"name": "d2", "templateType": "randrange", "description": "", "definition": "random(-16 .. -25#1)", "group": "Ungrouped variables"}, "b1": {"name": "b1", "templateType": "randrange", "description": "", "definition": "random(15 .. 25#1)", "group": "Ungrouped variables"}, "d1": {"name": "d1", "templateType": "randrange", "description": "", "definition": "random(-5 .. -15#1)", "group": "Ungrouped variables"}, "e2a": {"name": "e2a", "templateType": "anything", "description": "", "definition": "{e2}*(-1)", "group": "Ungrouped variables"}, "c2": {"name": "c2", "templateType": "randrange", "description": "", "definition": "random(3 .. 9#1)", "group": "Ungrouped variables"}, "c3": {"name": "c3", "templateType": "anything", "description": "", "definition": "{c1}*{c2}", "group": "Ungrouped variables"}, "e2": {"name": "e2", "templateType": "randrange", "description": "", "definition": "random(-5 .. -20#1)", "group": "Ungrouped variables"}, "c1": {"name": "c1", "templateType": "randrange", "description": "<p>c1</p>", "definition": "random(15 .. 45#1)", "group": "Ungrouped variables"}}, "statement": "<p>Select the correct symbol&nbsp; $+$,&nbsp; $-$,&nbsp; $\\div$,&nbsp; $\\times$ :</p>"}, {"name": "00a - Engineering Arithmetic: 003", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}], "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"}, "tags": [], "statement": "<p>Evaluate the following:</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"c3": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "{c1}-{c2}", "name": "c3"}, "c2a": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "{c2}*(-1)", "name": "c2a"}, "d2": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(-5 .. -25#1)", "name": "d2"}, "a1": {"description": "<p>a1</p>", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(3 .. 16#1)", "name": "a1"}, "a3": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "{a1}-{a2}", "name": "a3"}, "b1": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(-1 .. -10#1)", "name": "b1"}, "c1": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(-3 .. -10#1)", "name": "c1"}, "a2": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(11 .. 19#1)", "name": "a2"}, "b2": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(1 .. 9#1)", "name": "b2"}, "d3": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "{d1}+{d2}", "name": "d3"}, "c2": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(-3 .. -9#1)", "name": "c2"}, "b3": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "{b1}+{b2}", "name": "b3"}, "d1": {"description": "", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(-11 .. -19#1)", "name": "d1"}, "e2": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "{d1}*(-1)", "name": "e2"}}, "advice": "<p>a)&nbsp; &nbsp;$\\var{a1}-\\var{a2}=\\var{a3}$</p>\n<p>b)&nbsp; &nbsp;$\\var{b1}+\\var{b2}=\\var{b3}$</p>\n<p>c)&nbsp; &nbsp;$-(-)$&nbsp; &nbsp;gives&nbsp; &nbsp;$+$&nbsp; &nbsp;so:&nbsp; &nbsp;$\\var{c1}-(\\var{c2})=\\var{c1}+(\\var{c2a})=\\var{c3}$</p>\n<p>d)&nbsp; &nbsp;$+(-)$&nbsp; &nbsp;gives&nbsp; &nbsp;$-$&nbsp; &nbsp;so:&nbsp; $\\var{d1}+(\\var{d2})=\\var{d1}\\var{d2}=\\var{d3}$</p>\n<p>e)&nbsp; &nbsp;As previously&nbsp; &nbsp;$-(-)$&nbsp; &nbsp;gives&nbsp; &nbsp;$+$&nbsp; &nbsp;so:&nbsp; &nbsp;$\\var{d1}-(\\var{d1})=\\var{d1}+\\var{e2}=0$</p>", "preamble": {"css": "", "js": ""}, "ungrouped_variables": ["a1", "a2", "a3", "b1", "b2", "b3", "c1", "c2", "c2a", "c3", "d1", "d2", "d3", "e2"], "functions": {}, "parts": [{"showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "type": "gapfill", "useCustomName": false, "gaps": [{"minValue": "{a1}-{a2}", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "maxValue": "{a1}-{a2}", "mustBeReducedPC": 0, "showFractionHint": true, "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "unitTests": [], "correctAnswerFraction": false, "useCustomName": false, "marks": 1}], "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "extendBaseMarkingAlgorithm": true, "prompt": "<p>$\\var{a1}-\\var{a2}=$[[0]]</p>"}, {"showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "type": "gapfill", "useCustomName": false, "gaps": [{"minValue": "{b1}+{b2}", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "maxValue": "{b1}+{b2}", "mustBeReducedPC": 0, "showFractionHint": true, "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "unitTests": [], "correctAnswerFraction": false, "useCustomName": false, "marks": 1}], "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "extendBaseMarkingAlgorithm": true, "prompt": "<p>$\\var{b1}+\\var{b2}=$[[0]]</p>"}, {"showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "type": "gapfill", "useCustomName": false, "gaps": [{"minValue": "{c1}-{c2}", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "maxValue": "{c1}-{c2}", "mustBeReducedPC": 0, "showFractionHint": true, "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "unitTests": [], "correctAnswerFraction": false, "useCustomName": false, "marks": 1}], "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "extendBaseMarkingAlgorithm": true, "prompt": "<p>$\\var{c1}-(\\var{c2})=$[[0]]</p>"}, {"showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "type": "gapfill", "useCustomName": false, "gaps": [{"minValue": "{d1}+{d2}", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "maxValue": "{d1}+{d2}", "mustBeReducedPC": 0, "showFractionHint": true, "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "unitTests": [], "correctAnswerFraction": false, "useCustomName": false, "marks": 1}], "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "extendBaseMarkingAlgorithm": true, "prompt": "<p>$\\var{d1}+(\\var{d2})=$[[0]]</p>"}, {"showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "type": "gapfill", "useCustomName": false, "gaps": [{"minValue": "0", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "allowFractions": false, "maxValue": "0", "mustBeReducedPC": 0, "showFractionHint": true, "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "unitTests": [], "correctAnswerFraction": false, "useCustomName": false, "marks": 1}], "showCorrectAnswer": true, "scripts": {}, "customName": "", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "extendBaseMarkingAlgorithm": true, "prompt": "<p>$\\var{d1}-(\\var{d1})=$[[0]]</p>"}], "rulesets": {}}, {"name": "00a - Engineering Arithmetic: 004", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "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>"}, "variable_groups": [], "preamble": {"js": "", "css": ""}, "tags": [], "variablesTest": 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"variableReplacementStrategy": "originalfirst", "useCustomName": false, "customMarkingAlgorithm": "", "showFractionHint": true, "unitTests": [], "mustBeReduced": false, "maxValue": "{d3}", "scripts": {}}], "showCorrectAnswer": true, "prompt": "<p>$(\\var{d1}) \\div (\\var{d2})=$[[0]]</p>", "variableReplacementStrategy": "originalfirst", "type": "gapfill", "marks": 0, "showFeedbackIcon": true, "customName": "", "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "scripts": {}, "useCustomName": false, "sortAnswers": false}, {"extendBaseMarkingAlgorithm": true, "gaps": [{"correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "minValue": "{e1}", "allowFractions": false, "type": "numberentry", "marks": 1, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "customName": "", "variableReplacementStrategy": "originalfirst", "useCustomName": false, "customMarkingAlgorithm": "", "showFractionHint": true, "unitTests": [], "mustBeReduced": false, "maxValue": "{e1}", "scripts": {}}], "showCorrectAnswer": true, "prompt": "<p>$(\\var{e3}) \\div (\\var{e2})=$[[0]]</p>", "variableReplacementStrategy": "originalfirst", "type": "gapfill", "marks": 0, "showFeedbackIcon": true, "customName": "", "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "scripts": {}, "useCustomName": false, "sortAnswers": false}, {"extendBaseMarkingAlgorithm": true, "gaps": [{"correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "minValue": "{f3}", "allowFractions": false, "type": "numberentry", "marks": 1, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "customName": "", "variableReplacementStrategy": "originalfirst", "useCustomName": false, "customMarkingAlgorithm": "", "showFractionHint": true, "unitTests": [], "mustBeReduced": false, "maxValue": "{f3}", "scripts": {}}], "showCorrectAnswer": true, "prompt": "<p>$\\var{f1} \\div (-2)=$[[0]]</p>", "variableReplacementStrategy": "originalfirst", "type": "gapfill", "marks": 0, "showFeedbackIcon": true, "customName": "", "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "scripts": {}, "useCustomName": false, "sortAnswers": false}, {"extendBaseMarkingAlgorithm": true, "gaps": [{"correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "minValue": "{g4}", "allowFractions": false, "type": "numberentry", "marks": 1, "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "customName": "", "variableReplacementStrategy": "originalfirst", "useCustomName": false, "customMarkingAlgorithm": "", "showFractionHint": true, "unitTests": [], "mustBeReduced": false, "maxValue": "{g4}", "scripts": {}}], "showCorrectAnswer": true, "prompt": "<p>$(\\var{g1}) \\times (\\var{g2}) \\times (\\var{g3})=$[[0]]</p>", "variableReplacementStrategy": "originalfirst", "type": "gapfill", "marks": 0, "showFeedbackIcon": true, "customName": "", "customMarkingAlgorithm": "", "variableReplacements": [], "unitTests": [], "scripts": {}, "useCustomName": false, "sortAnswers": false}], "functions": {}, "ungrouped_variables": ["a1", "a2", "a3", "b1", "b2", "b3", "c2", "c3", "d1", "d2", "d3", "e1", "e2", "e3", "f1", "f3", "g1", "g2", "g3", "g4"], "statement": "<p>Calculate:</p>", "advice": "<p>If both numbers have the same sign (positive|positive or negative|negative) then the result will be a positive number, otherwise we will get a negative answer:</p>\n<p>a)&nbsp; &nbsp;$(\\var{a3}) \\div (\\var{a2})=\\var{a1}$</p>\n<p>b)&nbsp; &nbsp;$(\\var{b1}) \\times (\\var{b2})=\\var{b3}$</p>\n<p>c)&nbsp; &nbsp;$(\\var{b1}) \\times (\\var{c2})=\\var{c3}$</p>\n<p>d)&nbsp; &nbsp;$(\\var{d1}) \\div (\\var{d2})=\\var{d3}$</p>\n<p>e)&nbsp; &nbsp;$(\\var{e3}) \\div (\\var{e2})=\\var{e1}$</p>\n<p>f)&nbsp; &nbsp;$\\var{f1} \\div (-2)=\\var{f3}$</p>\n<p>g)&nbsp; &nbsp;There are an odd number of negatives, so:&nbsp; &nbsp;$(\\var{g1}) \\times (\\var{g2}) \\times (\\var{g3})=\\var{g4}$</p>\n<p></p>"}, {"name": "00a - Engineering Arithmetic: 005", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}], "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)"}}, "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}], "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"}}]}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Numbers &amp; Operators</p><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>"}, "duration": 0, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "name": "00 - Engineering Arithmetic: Exercise 1a: Numbers & Operators", "feedback": {"showactualmark": true, "showanswerstate": true, "showtotalmark": true, "feedbackmessages": [], "advicethreshold": 0, "intro": "", "allowrevealanswer": true}, "percentPass": "47", "contributors": [{"name": "Michael 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