// Numbas version: exam_results_page_options
{"name": "Chemistry Diagnostic Maths Skills Test", "metadata": {"description": "<p>This is a diagnostic test - we use it to determine where extra mathematical help is needed for the class as a whole and&nbsp;where you get to see specific areas where you may need to work on your mathematical skills. The diagnostic test DOES NOT count in any way towards your first year grade.</p>", "licence": "None specified"}, "duration": 2700, "percentPass": "50", "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", "", "", ""], "questions": [{"name": "Unit Conversion 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>For the following convert between the specified units.</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>5&nbsp;nJ to J;</p>\n<p>5&nbsp;&times; 10<sup>[[0]]</sup> J</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Unit1", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "-9", "maxValue": "-9", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>25 &micro;mol dm<sup>&minus;3</sup> to mol m<sup>&minus;3</sup></p>\n<p>25 &times; 10<sup>[[0]]</sup>&nbsp; mol m<sup>&minus;3</sup></p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Unit2", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "-3", "maxValue": "-3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>1780 cm<sup>&minus;1</sup> to m<sup>&minus;1</sup></p>\n<p>&nbsp; &nbsp; &nbsp;1.780 &times;10<sup>[[0]]</sup>&nbsp;m<sup>&minus;1</sup></p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Unit3", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "5", "maxValue": "5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Rearrange the following equations for the variable specified:", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Rearrange the following equations for the variable specified:</p>\n<p></p>\n<p>When typing your answer:</p>\n<ul>\n<li>\n<ul>\n<li><strong>Multiplied variables</strong>: Put an asterisk, *, between variables; \"y = abc\" will not be read correctly; you should input <code><strong>y = a*b*c</strong></code></li>\n<li>Use brackets for clarity when multiplying or representing fractions.</li>\n<li><strong>Greek letters</strong>; type the name; to enter $\\Delta$, type <code><strong>Delta</strong></code> ; to enter $\\lambda$, type <code><strong>lambda</strong></code></li>\n<li><strong>Subscripts</strong>: to display $x_y$ you should input&nbsp;<strong>&nbsp;<code>x_(y)</code></strong></li>\n<li><strong>Powers</strong>: To display $e^x$ or $10^8$, you should input <strong><code>e^(x)</code></strong> or <strong><code>10^(x)</code></strong></li>\n<li><strong>Logarithms</strong>: To enter&nbsp;$\\ln(x)$, enter <strong><code>ln(x)</code></strong> ; to enter $\\log_{10}(x)$, enter <code><strong>log(x)</strong></code></li>\n<li><strong>Scientific notation</strong>: To enter $2.998 \\times 10^8$, you should enter <code><strong>2.998e+8</strong></code> ; to enter $6.626 \\times 10^{-34}$, you should enter <strong><code>6.626e-34</code></strong></li>\n</ul>\n<p><span style=\"text-decoration: underline;\"><strong>The answer will show a preview</strong> </span>- please ensure this is as you expect, particularly with fractions, logarithms and multiplied expressions.</p>\n<p></p>\n<p>Your use of significant figures will be assessed - ensure you are always using&nbsp;<strong>appropriate significant figures</strong> relevant to the problem posed.</p>\n</li>\n</ul>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find z where G = -zVF</p>\n<p></p>\n<p>$z = $[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "-G/(V F)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "f", "value": ""}, {"name": "g", "value": ""}, {"name": "v", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find &Delta;S where &Delta;G = &Delta;H&minus;T&Delta;S</p>\n<p></p>\n<p>$\\Delta S = $[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "<p>Normally you would represent this as a single fraction over a common denominator, rather than two separate fractions over the same dehominator.</p>", "useAlternativeFeedback": true, "answer": "Delta H / T -Delta G / T", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "delta", "value": ""}, {"name": "g", "value": ""}, {"name": "h", "value": ""}, {"name": "t", "value": ""}]}], "answer": "(Delta H-Delta G)/T", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "delta", "value": ""}, {"name": "g", "value": ""}, {"name": "h", "value": ""}, {"name": "t", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Combine the following and rearrange to make the mass m the subject, in terms of only&nbsp;concentration, c, volume, V and molar mass, M<sub>r</sub>.</p>\n<p>$n=\\frac{m}{M_r}$ &amp; $n=cV$</p>\n<p></p>\n<p>$m = $[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "c*V*M_r", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "m_r", "value": ""}, {"name": "v", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The energy in J of a photon on frequency $\\nu$ (greek letter nu) is given by:</p>\n<p>$E=h \\nu$</p>\n<p>The speed of light, c, is related to this frequency and the wavelength, $\\lambda$.</p>\n<p>$c=\\lambda \\nu$</p>\n<p></p>\n<p>The energy in electron volts is given by:</p>\n<p>$E_{eV} = \\frac{E}{e}$</p>\n<p>Where $e$ is the charge on an electron.</p>\n<p></p>\n<p>Write an expression for the energy of a photon in eV as a function of wavelength.</p>\n<p>$E_{eV}=$[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "h*c/(e lambda)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "h", "value": ""}, {"name": "lambda", "value": ""}]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Calculate the following", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Calculate the following:</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>&Delta;S represents the change in&nbsp;entropy of the system between its final state, S<sub>f</sub>&nbsp;and its initial state S<sub>i</sub>.</p>\n<p>Calculate&nbsp;&Delta;S when&nbsp;S<sub>f</sub>&nbsp;= 3.2 J K<sup>&minus;</sup><sup>1</sup> mol<sup>&minus;</sup><sup>1</sup> and S<sub>i</sub> = 7.2 J K<sup>&minus;</sup><sup>1</sup> mol<sup>&minus;</sup><sup>1</sup>.&nbsp;</p>\n<p></p>\n<p>Determine, and use, the appropriate number of decimal places for your answer.</p>\n<p></p>\n<p>&Delta;S =&nbsp;[[0]]&nbsp;J K<sup>&minus;</sup><sup>1</sup> mol<sup>&minus;</sup><sup>1</sup></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "-4.0", "maxValue": "-4.0", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine the pOH of a solution of 0.01 mol dm<sup>&minus;3</sup> HCl.</p>\n<p></p>\n<p>pOH = [[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "12", "maxValue": "12", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": 0, "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find the pKa if the pH=7.1 and the amount of dissociation, x = 0.4</p>\n<p>$\\mathrm{pK_{a}}=\\mathrm{pH} - \\log_{10}\\frac{x}{1-x}$</p>\n<p></p>\n<p>Determine, and use, the appropriate number of decimal places in your answer.</p>\n<p></p>\n<p>$\\mathrm{pK_{a}}$&nbsp;= [[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "7.3", "maxValue": "7.3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The <em>emf </em>(voltage on a voltmeter) is being calibrated. The relationship is given by:</p>\n<p>$ emf = K + 0.059 ~\\mathrm{pH} $&nbsp;&nbsp;</p>\n<p>When the pH = 7 exactly the <em>emf</em> = 0.240 V, calculate&nbsp;the pH when the <em>emf</em> = 0.490 V?</p>\n<p></p>\n<p>Determine, and use, the appropriate number of decimal places in your answer.</p>\n<p></p>\n<p>pH = [[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "11.2", "maxValue": "11.2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Reading Tables & Graphs", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Fill in the empty boxes:</p>\n<p></p>\n<p>(when entering powers of ten please type in as 1.234e+5 to represent \"$1.234 \\times 10^5$\". NOTE:you must include either a + or - after the e)</p>\n<p></p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<table border=\"line\">\n<tbody>\n<tr>\n<td><strong>10<sup>3</sup>&nbsp;/ T / K<sup>&minus;1</sup></strong></td>\n<td><strong>10<sup>8</sup> k / dm<sup>3</sup> mol<sup>&minus;1</sup> s<sup>&minus;1</sup></strong></td>\n<td><strong>T / &ordm;C</strong></td>\n<td><strong>k / dm<sup>3</sup> mol<sup>&minus;1</sup> s<sup>&minus;1</sup></strong></td>\n</tr>\n<tr>\n<td>3.172</td>\n<td>2.73</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "42.1", "maxValue": "42.1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2.73e-8", "maxValue": "2.73e-8", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "sigfig", "precision": "3", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en", "scientific"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Tables and graphs - graph plotting", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>In an experiment where you vary the temperature, T, and measure the rate constant, k, what would you plot on the x- &amp; y-axes to give the most appropriate linear plot given you are fitting the data to the following equation:</p>\n<p></p>\n<p>$k= Ae^{-\\frac{E_a}{RT}}$</p>\n<p></p>\n<p>Please check your answer in the preview which will appear, you will need to use brackets around variables if they are subject to a mathematical function.</p>\n<p>(if using exponents in your answer please enter in the form e^(x), if using logarithms please enter in the form ln(x) for natural logs and log(x) for log to the base 10)</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>x-axis: &nbsp; &nbsp;[[0]]</p>\n<p>y-axis: &nbsp; &nbsp;[[1]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "1/T", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "t", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "ln(k)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "k", "value": ""}]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Basic maths skills", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p></p>\n<p>When typing your answer:</p>\n<ul>\n<li><strong>Multiplied variables</strong>: Put an asterisk, *, between variables; \"y = abc\" will not be read correctly; you should input <code><strong>y = a*b*c</strong></code></li>\n<li>Use brackets for clarity when multiplying or representing fractions.</li>\n<li><strong>Greek letters</strong>; type the name; to enter $\\Delta$, type <code><strong>Delta</strong></code> ; to enter $\\lambda$, type <code><strong>lambda</strong></code></li>\n<li><strong>Subscripts</strong>: to display $x_y$ you should input&nbsp;<strong>&nbsp;<code>x_(y)</code></strong></li>\n<li><strong>Powers</strong>: To display $e^x$ or $10^8$, you should input <strong><code>e^(x)</code></strong> or <strong><code>10^(x)</code></strong></li>\n<li><strong>Logarithms</strong>: To enter&nbsp;$\\ln(x)$, enter <strong><code>ln(x)</code></strong> ; to enter $\\log_{10}(x)$, enter <code><strong>log(x)</strong></code></li>\n<li><strong>Scientific notation</strong>: To enter $2.998 \\times 10^8$, you should enter <code><strong>2.998e+8</strong></code> ; to enter $6.626 \\times 10^{-34}$, you should enter <strong><code>6.626e-34</code></strong></li>\n</ul>\n<p><span style=\"text-decoration: underline;\"><strong>The answer will show a preview</strong> </span>- please ensure this is as you expect, particularly with fractions, logarithms and multiplied expressions.</p>\n<p></p>\n<p>Your use of significant figures will be assessed - ensure you are always using&nbsp;<strong>appropriate significant figures</strong> relevant to the problem posed.</p>\n<p></p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Rearrange to give an expression for $V_i$ where:</p>\n<p>$\\Delta S = R \\ln \\frac{V_f}{V_i}$</p>\n<p>$V_i=$[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "<p>It is not normal to leave answers as fractions; use superscript notation instead.</p>", "useAlternativeFeedback": false, "answer": "V_f / e^((Delta S/R))", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "delta", "value": ""}, {"name": "r", "value": ""}, {"name": "s", "value": ""}, {"name": "v_f", "value": ""}]}], "answer": "V_f e^(-(Delta S/R))", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "delta", "value": ""}, {"name": "r", "value": ""}, {"name": "s", "value": ""}, {"name": "v_f", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find the order of reaction, n, given that the initial concentration of the reactants [A]<sub>0</sub> = 0.1 mol dm<sup>&minus;3</sup> and the initial rate is 0.01 mol dm<sup>&minus;3</sup> s<sup>&minus;1</sup> given as:</p>\n<p></p>\n<p>'rate' $=[A]^n$</p>\n<p></p>\n<p>n=[[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Calculus part 1:", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Determine the following:</p>\n<p></p>\n<p>When typing your answer:</p>\n<ul>\n<li><strong>Multiplied variables</strong>: Put an asterisk, *, between variables; \"y = abc\" will not be read correctly; you should input <code><strong>y = a*b*c</strong></code></li>\n<li>Use brackets for clarity when multiplying or representing fractions.</li>\n<li><strong>Greek letters</strong>; type the name; to enter $\\Delta$, type <code><strong>Delta</strong></code> ; to enter $\\lambda$, type <code><strong>lambda</strong></code></li>\n<li><strong>Subscripts</strong>: to display $x_y$ you should input&nbsp;<strong>&nbsp;<code>x_(y)</code></strong></li>\n<li><strong>Powers</strong>: To display $e^x$ or $10^8$, you should input <strong><code>e^(x)</code></strong> or <strong><code>10^(x)</code></strong></li>\n<li><strong>Logarithms</strong>: To enter&nbsp;$\\ln(x)$, enter <strong><code>ln(x)</code></strong> ; to enter $\\log_{10}(x)$, enter <code><strong>log(x)</strong></code></li>\n<li><strong>Scientific notation</strong>: To enter $2.998 \\times 10^8$, you should enter <code><strong>2.998e+8</strong></code> ; to enter $6.626 \\times 10^{-34}$, you should enter <strong><code>6.626e-34</code></strong></li>\n</ul>\n<p><span style=\"text-decoration: underline;\"><strong>The answer will show a preview</strong> </span>- please ensure this is as you expect, particularly with fractions, logarithms and multiplied expressions.</p>\n<p></p>\n<p>Your use of significant figures will be assessed - ensure you are always using&nbsp;<strong>appropriate significant figures</strong> relevant to the problem posed.</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>when $E = BJ(J+1)$</p>\n<p>$\\frac{\\textrm{d}E}{\\textrm{d}J}$=[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "2B*J+B", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "b", "value": ""}, {"name": "j", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>when $V=\\frac{A}{R^{12}}-\\frac{C}{R^6}$</p>\n<p></p>\n<p>$\\frac{\\textrm{d}V}{\\textrm{d}R}=$[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "answer": "(-12A r^(-13))+(6C r^-7)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "a", "value": ""}, {"name": "c", "value": ""}, {"name": "r", "value": ""}]}], "answer": "(-12A/r^(13))+(6C/r^7)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "a", "value": ""}, {"name": "c", "value": ""}, {"name": "r", "value": ""}]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Calculus part 2:", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Determine the following:</p>\n<p></p>\n<p>When typing your answer:</p>\n<ul>\n<li><strong>Multiplied variables</strong>: Put an asterisk, *, between variables; \"y = abc\" will not be read correctly; you should input <code><strong>y = a*b*c</strong></code></li>\n<li>Use brackets for clarity when multiplying or representing fractions.</li>\n<li><strong>Greek letters</strong>; type the name; to enter $\\Delta$, type <code><strong>Delta</strong></code> ; to enter $\\lambda$, type <code><strong>lambda</strong></code></li>\n<li><strong>Subscripts</strong>: to display $x_y$ you should input&nbsp;<strong>&nbsp;<code>x_(y)</code></strong></li>\n<li><strong>Powers</strong>: To display $e^x$ or $10^8$, you should input <strong><code>e^(x)</code></strong> or <strong><code>10^(x)</code></strong></li>\n<li><strong>Logarithms</strong>: To enter&nbsp;$\\ln(x)$, enter <strong><code>ln(x)</code></strong> ; to enter $\\log_{10}(x)$, enter <code><strong>log(x)</strong></code></li>\n<li><strong>Scientific notation</strong>: To enter $2.998 \\times 10^8$, you should enter <code><strong>2.998e+8</strong></code> ; to enter $6.626 \\times 10^{-34}$, you should enter <strong><code>6.626e-34</code></strong></li>\n</ul>\n<p><span style=\"text-decoration: underline;\"><strong>The answer will show a preview</strong> </span>- please ensure this is as you expect, particularly with fractions, logarithms and multiplied expressions.</p>\n<p></p>\n<p>Your use of significant figures will be assessed - ensure you are always using&nbsp;<strong>appropriate significant figures</strong> relevant to the problem posed.</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\int k \\textrm{d}t$</p>\n<p></p>\n<p>[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "answer": "k*t", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "k", "value": ""}, {"name": "t", "value": ""}]}], "answer": "k*t + c", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "k", "value": ""}, {"name": "t", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\int \\frac{1}{p}\\textrm{d}p$</p>\n<p></p>\n<p>[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "answer": "-ln(p)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "p", "value": ""}]}], "answer": "ln(p)+c", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "p", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\int \\frac{1}{T^2}\\textrm{d}T$</p>\n<p></p>\n<p>[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "answer": "(1/T)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "t", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "answer": "-(T^-1)+c", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "t", "value": ""}]}], "answer": "-(1/T)+c", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "t", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine and rearrange the answer to the simplest expression:</p>\n<p>$-\\int_{V_i}^{V_f}\\frac{nRT}{V}\\textrm{d}V$</p>\n<p></p>\n<p>[[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "<p>This can be simplified by application of the rule of logs</p>", "useAlternativeFeedback": true, "answer": "-n*R*T (ln(V_f)-ln(V_i))", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "n", "value": ""}, {"name": "r", "value": ""}, {"name": "v_f", "value": ""}, {"name": "v_i", "value": ""}]}], "answer": "-n*R*T ln(V_f/V_i)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "n", "value": ""}, {"name": "r", "value": ""}, {"name": "t", "value": ""}, {"name": "v_f", "value": ""}, {"name": "v_i", "value": ""}]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "never", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": false, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "warn", "message": "<p>You have 5 minutes remaining, the exam will automatically time out when your time is up.</p>"}}, "feedback": {"showactualmark": false, "showtotalmark": false, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "<h3>Please read these instructions&nbsp;carefully:</h3>\n<p>To progress through the test please select the question in the left hand column.&nbsp;Some questions have multiple parts.</p>\n<p>Some questions require you to type in algebraic expressions. When typing your answer:</p>\n<ul>\n<li><strong>Multiplied variables</strong>: Put an asterisk, *, (or space) between variables; \"y = abc\" will not be read correctly; you should input <code><strong>y = a*b*c </strong>or<strong> y = a b c</strong></code></li>\n<li>Use brackets for clarity when multiplying or representing fractions.</li>\n<li><strong>Greek letters</strong>; type the name; to enter $\\Delta$, type <code><strong>Delta</strong></code> ; to enter $\\lambda$, type <code><strong>lambda</strong></code></li>\n<li><strong>Subscripts</strong>: to display $x_y$ you should input&nbsp;<strong>&nbsp;<code>x_(y)</code></strong></li>\n<li><strong>Powers</strong>: To display $e^x$ or $10^8$, you should input <strong><code>e^(x)</code></strong> or <strong><code>10^(x)</code></strong></li>\n<li><strong>Logarithms</strong>: To enter&nbsp;$\\ln(x)$, enter <strong><code>ln(x)</code></strong> ; to enter $\\log_{10}(x)$, enter <code><strong>log(x)</strong></code></li>\n<li><strong>Scientific notation</strong>: To enter $2.998 \\times 10^8$, you should enter <code><strong>2.998e+8</strong></code> ; to enter $6.626 \\times 10^{-34}$, you should enter <strong><code>6.626e-34</code></strong></li>\n</ul>\n<p><span style=\"text-decoration: underline;\"><strong>The answer will show a preview</strong> </span>- please ensure this is as you expect, particularly with fractions, logarithms and multiplied expressions.</p>\n<p></p>\n<p>Your use of significant figures will be assessed - ensure you are always using&nbsp;<strong>appropriate significant figures</strong> relevant to the problem posed.</p>\n<p></p>\n<p>On the final page, after submission, you are given the option to download or print transcript. Please print this to pdf for your own records.</p>", "reviewshowscore": false, "reviewshowfeedback": false, "reviewshowexpectedanswer": false, "reviewshowadvice": false, "feedbackmessages": []}, "contributors": [{"name": "Fiona Dickinson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5890/"}], "extensions": [], "custom_part_types": [], "resources": []}