// Numbas version: exam_results_page_options
{"name": "Key words in maths problems", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", ""], "variable_overrides": [[], [], [], [], []], "questions": [{"name": "The language of maths  - 'find a solution' type problems", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Consider the following question:</p>\n<div></div>\n<div>\n<table cellpadding=\"3px\" cellspacing=\"3px\" width=\"300\" height=\"53\" style=\"height: 53px; border-style: solid; width: 300px; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 283px; text-align: center;\">Find a solution to $x^2-5x=0$.</td>\n</tr>\n</tbody>\n</table>\n</div>\n<div></div>\n<div><br/>Which of the following answers would be acceptable?</div>\n<div></div>", "advice": "<p>All of the answers are correct. Answers <strong>A</strong> and <strong>B</strong> are probably the best because there is no need to find all solutions.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p></p>\n<p></p>", "minMarks": 0, "maxMarks": "2", "shuffleChoices": false, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "score per matched cell", "choices": ["<p><strong>A</strong>&nbsp; &nbsp; &nbsp;$5^2-5(5)=0$ so $x=5$ is a solution.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>B</strong>&nbsp; &nbsp; &nbsp;$0^2-5(0)=0$ so $x=0$ is a solution.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>C</strong>&nbsp; &nbsp; &nbsp;Factorise $x^2-5x=0$ to get $x(x-5)=0$. This implies that $x=0$&nbsp;or $x=5$.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>D</strong>&nbsp; &nbsp; &nbsp;$0^2-5(0)=0$ and $5^2-5(5)=0$ so $x=0$ and $x=5$ are solutions.<br/><br/></p>\n<p></p>"], "matrix": ["0.5", "0.5", "0.5", "0.5"], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "The language of maths  - 'show that something is a solution' type problems", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Consider the following question:</p>\n<div></div>\n<div>\n<table cellpadding=\"3px\" cellspacing=\"3px\" width=\"300\" height=\"53\" style=\"height: 53px; border-style: solid; width: 393px; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 376px; text-align: center;\">Show that $x=5$ is a solution to $x^2-5x=0$.</td>\n</tr>\n</tbody>\n</table>\n</div>\n<div></div>\n<div><br/>Which of the following answers would be acceptable?</div>\n<div></div>", "advice": "<p><strong>A</strong>, <strong>C</strong> and <strong>D</strong> are correct. Answer <strong>A</strong> is probably the best because there is no need to find other solutions.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p></p>\n<p></p>", "minMarks": 0, "maxMarks": "2", "shuffleChoices": false, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "score per matched cell", "choices": ["<p><strong>A</strong>&nbsp; &nbsp; &nbsp;$5^2-5(5)=0$ so $x=5$ is a solution.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>B</strong>&nbsp; &nbsp; &nbsp;$0^2-5(0)=0$ so $x=0$ is a solution.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>C</strong>&nbsp; &nbsp; &nbsp;Factorise $x^2-5x=0$ to get $x(x-5)=0$. This implies that $x=0$&nbsp;or $x=5$.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>D</strong>&nbsp; &nbsp; &nbsp;$0^2-5(0)=0$ and $5^2-5(5)=0$ so $x=0$ and $x=5$ are solutions.<br/><br/></p>\n<p></p>"], "matrix": ["0.5", "0", "0.5", "0.5"], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "The language of maths  - 'solve an equation' type problems", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Consider the following question:</p>\n<div></div>\n<div>\n<table cellpadding=\"3px\" cellspacing=\"3px\" width=\"300\" height=\"53\" style=\"height: 53px; border-style: solid; width: 393px; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 376px; text-align: center;\">Solve $x^2-5x=0$.</td>\n</tr>\n</tbody>\n</table>\n</div>\n<div></div>\n<div><br/>Which of the following is the best answer?</div>\n<div></div>", "advice": "<p><strong>C</strong> is the best answer. Answers <strong>A</strong> and <strong>B</strong> are missing one of the possible solutions. <strong>D </strong>has found all the solutions, so it is correct, but not as good as <strong>C</strong> because it doesn't explain how the solutions were found or why they are the only solutions possible.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["<p><strong>A</strong>&nbsp; &nbsp; &nbsp;$5^2-5(5)=0$ so $x=5$ is a solution.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>B</strong>&nbsp; &nbsp; &nbsp;$0^2-5(0)=0$ so $x=0$ is a solution.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>C</strong>&nbsp; &nbsp; &nbsp;Factorise $x^2-5x=0$ to get $x(x-5)=0$. This implies that $x=0$&nbsp;or $x=5$.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/><br/></p>\n<p></p>", "<p><strong>D</strong>&nbsp; &nbsp; &nbsp;$0^2-5(0)=0$ and $5^2-5(5)=0$ so $x=0$ and $x=5$ are solutions.<br/><br/></p>\n<p></p>"], "matrix": [0, 0, "1", 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "The language of maths  - 'hence, or otherwise' type problems 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>A student solved the following multi-part question:</p>\n<div></div>\n<div>\n<table cellpadding=\"3px\" cellspacing=\"10px\" width=\"523\" height=\"53\" style=\"height: 101px; border-style: solid; width: 519px; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 502px; text-align: center;\">\n<p style=\"text-align: left; padding-left: 40px;\">(a) Factorise the expression $x^2-5x$.</p>\n<p style=\"text-align: left; padding-left: 40px;\">(b) Hence, or otherwise, solve $x^2-5x=0$.</p>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n<div></div>\n<div><br/>Their answer was:</div>\n<div></div>\n<div>\n<div></div>\n<div>\n<table cellpadding=\"3px\" cellspacing=\"3px\" width=\"540\" height=\"53\" style=\"height: 125px; border-style: solid; width: 539px; border-color: #000000;\">\n<tbody>\n<tr style=\"height: 93px;\">\n<td style=\"width: 522px; text-align: center; height: 93px;\">\n<p style=\"text-align: left; padding-left: 40px;\">(a) $x(x-5)$</p>\n<p style=\"text-align: left; padding-left: 40px;\">(b) $x=\\frac{-b \\pm \\sqrt{b^2-4ac}}{2a}=\\frac{5 \\pm \\sqrt{25}}{2}=0$ or $5$.</p>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n<div></div>\n<div></div>\n<div>Choose the correct option below.</div>\n</div>\n<div></div>", "advice": "<p><strong>D</strong> is correct. The student didn't use the idea from part (a) which would have made the solution easier.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["<p><strong>A</strong>&nbsp; &nbsp; &nbsp;The students answer to part (b) was a 'hence' answer because they <strong>did</strong>&nbsp;make use of the earlier part.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>", "<p><strong>B</strong>&nbsp; &nbsp; The students answer to part (b) was a 'hence' answer because they <strong>didn't</strong> make use of the earlier part.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>", "<p><strong>C</strong>&nbsp; &nbsp; The students answer to part (b) was an 'otherwise' answer because they <strong>did</strong>&nbsp;make use of the earlier part.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>", "<p><strong>D</strong>&nbsp; &nbsp; The students answer to part (b) was an 'otherwise' answer because they <strong>didn't</strong> make use of the earlier part.</p>\n<p></p>"], "matrix": [0, 0, "0", "1"], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "The language of maths  - 'hence, or otherwise' type problems 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>A student solved the following multi-part question:</p>\n<div></div>\n<div>\n<table cellpadding=\"3px\" cellspacing=\"10px\" width=\"523\" height=\"53\" style=\"height: 101px; border-style: solid; width: 519px; border-color: #000000;\">\n<tbody>\n<tr>\n<td style=\"width: 502px; text-align: center;\">\n<p style=\"text-align: left; padding-left: 40px;\">(a) Factorise the expression $x^2-5x$.</p>\n<p style=\"text-align: left; padding-left: 40px;\">(b) Hence, or otherwise, solve $x^2-5x=0$.</p>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n<div></div>\n<div><br/>Their answer was:</div>\n<div></div>\n<div>\n<div></div>\n<div>\n<table cellpadding=\"3px\" cellspacing=\"3px\" width=\"540\" height=\"53\" style=\"height: 125px; border-style: solid; width: 539px; border-color: #000000;\">\n<tbody>\n<tr style=\"height: 93px;\">\n<td style=\"width: 522px; text-align: center; height: 93px;\">\n<p style=\"text-align: left; padding-left: 40px;\">(a) $x(x-5)$</p>\n<p style=\"text-align: left; padding-left: 40px;\">(b) $x(x-5)=0$, so $x=0$ or $5$.</p>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n<div></div>\n<div></div>\n<div>Choose the correct option below.</div>\n</div>\n<div></div>", "advice": "<p><strong>A</strong> is correct. The student used the idea from part (a) which made the solution easier.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["<p><strong>A</strong>&nbsp; &nbsp; &nbsp;The students answer to part (b) was a 'hence' answer because they <strong>did</strong>&nbsp;make use of the earlier part.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>", "<p><strong>B</strong>&nbsp; &nbsp; The students answer to part (b) was a 'hence' answer because they <strong>didn't</strong> make use of the earlier part.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>", "<p><strong>C</strong>&nbsp; &nbsp; The students answer to part (b) was an 'otherwise' answer because they <strong>did</strong>&nbsp;make use of the earlier part.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</p>", "<p><strong>D</strong>&nbsp; &nbsp; The students answer to part (b) was an 'otherwise' answer because they <strong>didn't</strong> make use of the earlier part.</p>\n<p></p>"], "matrix": ["1", 0, "0", "0"], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": false, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": "", "allowAttemptDownload": false, "downloadEncryptionKey": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "end_message": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "contributors": [{"name": "Andrew Chuter", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4565/"}], "extensions": [], "custom_part_types": [], "resources": []}