// Numbas version: exam_results_page_options
{"name": "Scientific notation: percentage calculation - biology context", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Scientific notation: percentage calculation - biology context", "tags": [], "metadata": {"description": "<p>One number as a percentage of another.&nbsp; Biology context. Includes standard form.<br />Realistic values.</p>", "licence": "None specified"}, "statement": "", "advice": "<p>When calculating one number as a percentage of another we can use the formula</p>\n<p>\\[ \\text{Percentage in decimal form} = \\frac{\\text{New value}}{\\text{Original value}} \\]</p>\n<p>Don't worry that the values are written in standard form, but it can help to use brackets to ensure your calculator is following the order of operations correctly.</p>\n<p>i.e.</p>\n<p>\\[ \\begin{split} \\text{Percentage in decimal form} &amp;\\,= \\frac{(\\var{n1})}{(\\var{n2})} \\\\ &amp;\\, &amp;\\,= \\var{p} \\end{split} \\]</p>\n<p>To express our answer as a percentage rather than in decimal form, we need to multiply this answer by $100$.</p>\n<p>&nbsp;\\[ \\var{p} \\times 100 = \\var{p*100} \\% \\]</p>\n<p>The question asks for a sensible level of precision. &nbsp;Since the original measurements were taken to 3 significant figures, a sensible choice here would be 2 significant figures.</p>\n<p>p = {p2*100}%</p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"p": {"name": "p", "group": "Ungrouped variables", "definition": "new/og", "description": "", "templateType": "anything", "can_override": false}, "og": {"name": "og", "group": "Ungrouped variables", "definition": "siground(random(3*10^3..4*10^6),3\n)", "description": "", "templateType": "anything", "can_override": false}, "new": {"name": "new", "group": "Ungrouped variables", "definition": "siground(og*actual_p*0.01,3)", "description": "", "templateType": "anything", "can_override": false}, "actual_p": {"name": "actual_p", "group": "Ungrouped variables", "definition": "random(2.5..4.5)", "description": "", "templateType": "anything", "can_override": false}, "n1": {"name": "n1", "group": "Ungrouped variables", "definition": "scientificnumberlatex(og)", "description": "", "templateType": "anything", "can_override": false}, "n2": {"name": "n2", "group": "Ungrouped variables", "definition": "scientificnumberlatex(new)", "description": "", "templateType": "anything", "can_override": false}, "p1": {"name": "p1", "group": "Ungrouped variables", "definition": "siground(p,1)", "description": "", "templateType": "anything", "can_override": false}, "p2": {"name": "p2", "group": "Ungrouped variables", "definition": "siground(p,2)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "new<og", "maxRuns": "15"}, "ungrouped_variables": ["p", "og", "new", "actual_p", "n1", "n2", "p1", "p2"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "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>A patient infected with a respiratory virus is asked to cough and the viral load is measured.<br/><br/>The number of viral copies in the air in front of the patient is initially {n1}.<br/><br/>This load decreases over time, and after 10 seconds there are {n2}&nbsp;viral copies measured.<br/><br/>What is the percentage remaining after 10 seconds?<br/><br/></p>\n<p><em>Give your answer to a sensible degree of accuracy.</em></p>\n<p>[[0]]%</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "alternatives": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "", "useAlternativeFeedback": false, "minValue": "p*100", "maxValue": "p*100", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "The values were measured to 3 significant figures, so it is unreasonable to give your answer to so many significant figures.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "minValue": "p*100", "maxValue": "p*100", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": "100", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}, {"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}]}], "contributors": [{"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}, {"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}