// Numbas version: finer_feedback_settings
{"name": "INU0511 PRACTICE Maths Mini Test (S2) 20-23", "metadata": {"description": "", "licence": "All rights reserved"}, "duration": 3600, "percentPass": "50", "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", "", "", "", ""], "variable_overrides": [[], [], [], [], [], [], [], [], []], "questions": [{"name": "S2 EXAM Correlation coeff 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>Use the table below to calculate the correlation co-efficient for the relationship between science and maths grades for a group of students</p>\n<table width=\"876\" height=\"12\" border=\"1\" style=\"height: 12px;\">\n<tbody>\n<tr>\n<td style=\"width: 70.5556px;\">Science</td>\n<td style=\"width: 70.5556px;\">{x1}</td>\n<td style=\"width: 70.5556px;\">{x2}</td>\n<td style=\"width: 71.6667px;\">{x3}</td>\n<td style=\"width: 71.6667px;\">{x4}</td>\n<td style=\"width: 71.6667px;\">{x5}</td>\n<td style=\"width: 71.6667px;\">{x6}</td>\n<td style=\"width: 71.6667px;\">{x7}</td>\n<td style=\"width: 71.6667px;\">{x8}</td>\n<td style=\"width: 71.6667px;\">{x9}</td>\n</tr>\n<tr>\n<td style=\"width: 70.5556px;\">Maths</td>\n<td style=\"width: 70.5556px;\">{y1}</td>\n<td style=\"width: 70.5556px;\">{y2}</td>\n<td style=\"width: 71.6667px;\">{y3}</td>\n<td style=\"width: 71.6667px;\">{y4}</td>\n<td style=\"width: 71.6667px;\">{y5}</td>\n<td style=\"width: 71.6667px;\">{y6}</td>\n<td style=\"width: 71.6667px;\">{y7}</td>\n<td style=\"width: 71.6667px;\">{y8}</td>\n<td style=\"width: 71.6667px;\">{y9}</td>\n</tr>\n</tbody>\n</table>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"x1": {"name": "x1", "group": "Ungrouped variables", "definition": "random(6..8)", "description": "", "templateType": "anything", "can_override": false}, "x2": {"name": "x2", "group": "Ungrouped variables", "definition": "random(6..8)", "description": "", "templateType": "anything", "can_override": false}, "x3": {"name": "x3", "group": "Ungrouped variables", "definition": "random(6..8)", "description": "", "templateType": "anything", "can_override": false}, "x4": {"name": "x4", "group": "Ungrouped variables", "definition": "random(7..9)", "description": "", "templateType": "anything", "can_override": false}, "x5": {"name": "x5", "group": "Ungrouped variables", "definition": "random(7..9)", "description": "", "templateType": "anything", "can_override": false}, "x6": {"name": "x6", "group": "Ungrouped variables", "definition": "random(7..9)", "description": "", "templateType": "anything", "can_override": false}, "x7": {"name": "x7", "group": "Ungrouped variables", "definition": "random(8..11)", "description": "", "templateType": "anything", "can_override": false}, "x8": {"name": "x8", "group": "Ungrouped variables", "definition": "random(8..11)", "description": "", "templateType": "anything", "can_override": false}, "x9": {"name": "x9", "group": "Ungrouped variables", "definition": "random(8..11)", "description": "", "templateType": "anything", "can_override": false}, "y1": {"name": "y1", "group": "Ungrouped variables", "definition": "random(26..20)", "description": "", "templateType": "anything", "can_override": false}, "y2": {"name": "y2", "group": "Ungrouped variables", "definition": "random(26..20)", "description": "", "templateType": "anything", "can_override": false}, "y3": {"name": "y3", "group": "Ungrouped variables", "definition": "random(26..20)", "description": "", "templateType": "anything", "can_override": false}, "y4": {"name": "y4", "group": "Ungrouped variables", "definition": "random(22..25)", "description": "", "templateType": "anything", "can_override": false}, "y5": {"name": "y5", "group": "Ungrouped variables", "definition": "random(22..25)", "description": "", "templateType": "anything", "can_override": false}, "y6": {"name": "y6", "group": "Ungrouped variables", "definition": "random(22..25)", "description": "", "templateType": "anything", "can_override": false}, "y7": {"name": "y7", "group": "Ungrouped variables", "definition": "random(18..22)", "description": "", "templateType": "anything", "can_override": false}, "y8": {"name": "y8", "group": "Ungrouped variables", "definition": "random(18..22)", "description": "", "templateType": "anything", "can_override": false}, "y9": {"name": "y9", "group": "Ungrouped variables", "definition": "random(18..22)", "description": "", "templateType": "anything", "can_override": false}, "sumxsq": {"name": "sumxsq", "group": "Ungrouped variables", "definition": "x1^2+x2^2+x3^2+x4^2+x5^2+x6^2+x7^2+x8^2+x9^2", "description": "", "templateType": "anything", "can_override": false}, "sumysq": {"name": "sumysq", "group": "Ungrouped variables", "definition": "y1^2+y2^2+y3^2+y4^2+y5^2+y6^2+y7^2+y8^2+y9^2", "description": "", "templateType": "anything", "can_override": false}, "sumxy": {"name": "sumxy", "group": "Ungrouped variables", "definition": "x1*y1+x2*y2+x3*y3+x4*y4+x5*y5+x6*y6+x7*y7+x8*y8+x9*y9", "description": "", "templateType": "anything", "can_override": false}, "sumxallsq": {"name": "sumxallsq", "group": "Ungrouped variables", "definition": "(x1+x2+x3+x4+x5+x6+x7+x8+x9)^2", "description": "", "templateType": "anything", "can_override": false}, "sumyallsq": {"name": "sumyallsq", "group": "Ungrouped variables", "definition": "(y1+y2+y3+y4+y5+y6+y7+y8+y9)^2", "description": "", "templateType": "anything", "can_override": false}, "sumxsumy": {"name": "sumxsumy", "group": "Ungrouped variables", "definition": "(x1+x2+x3+x4+x5+x6+x7+x8+x9)*(y1+y2+y3+y4+y5+y6+y7+y8+y9)", "description": "", "templateType": "anything", "can_override": false}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "9", "description": "", "templateType": "anything", "can_override": false}, "sxx": {"name": "sxx", "group": "Ungrouped variables", "definition": "sumxsq-sumxallsq/n", "description": "", "templateType": "anything", "can_override": false}, "syy": {"name": "syy", "group": "Ungrouped variables", "definition": "sumysq-sumyallsq/n", "description": "", "templateType": "anything", "can_override": false}, "sxy": {"name": "sxy", "group": "Ungrouped variables", "definition": "sumxy-sumxsumy/n", "description": "", "templateType": "anything", "can_override": false}, "r": {"name": "r", "group": "Ungrouped variables", "definition": "sxy/(sqrt(sxx*syy))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["x1", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "y1", "y2", "y3", "y4", "y5", "y6", "y7", "y8", "y9", "sumxsq", "sumysq", "sumxy", "sumxallsq", "sumyallsq", "sumxsumy", "n", "sxx", "syy", "sxy", "r"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "6", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate the correlation co-efficient</p>", "minValue": "r-0.01", "maxValue": "r+0.01", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "S2 EXAM Dice", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Rochelle has a box with {rednum} red dice and {bluenum } blue dice. She takes out one dice and does not replace it. She then takes out another dice.</p>\n<p>Give your answers as fractions</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"blue": {"name": "blue", "group": "Ungrouped variables", "definition": "bluenum/(rednum+bluenum)", "description": "", "templateType": "anything", "can_override": false}, "red": {"name": "red", "group": "Ungrouped variables", "definition": "rednum/(rednum+bluenum)", "description": "", "templateType": "anything", "can_override": false}, "bluenum": {"name": "bluenum", "group": "Ungrouped variables", "definition": "random(3..6)", "description": "", "templateType": "anything", "can_override": false}, "rednum": {"name": "rednum", "group": "Ungrouped variables", "definition": "random(3..8)", "description": "", "templateType": "anything", "can_override": false}, "bluered": {"name": "bluered", "group": "Ungrouped variables", "definition": "(bluenum/(rednum+bluenum))*(rednum/(rednum+bluenum-1))", "description": "", "templateType": "anything", "can_override": false}, "blueredany": {"name": "blueredany", "group": "Ungrouped variables", "definition": "(bluenum/(rednum+bluenum))*(rednum/(rednum+bluenum-1))+(rednum/(rednum+bluenum))*(bluenum/(rednum+bluenum-1))", "description": "", "templateType": "anything", "can_override": true}, "blue2": {"name": "blue2", "group": "Ungrouped variables", "definition": "(bluenum-1)/(bluenum+rednum-1)", "description": "", "templateType": "anything", "can_override": false}, "blueblue": {"name": "blueblue", "group": "Ungrouped variables", "definition": "blue*blue2", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["blue", "red", "bluenum", "rednum", "bluered", "blueredany", "blue2", "blueblue"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she takes out a blue dice on the first try?</p>", "minValue": "blue", "maxValue": "blue", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she takes out a red dice on the first try?</p>", "minValue": "red", "maxValue": "red", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she takes out two blue dice?</p>", "minValue": "blueblue", "maxValue": "blueblue", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p style=\"text-align: left;\">What is the probability that she takes out a blue followed by a red dice?</p>", "minValue": "bluered", "maxValue": "bluered", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability of getting one red and one blue dice?</p>", "minValue": "blueredany", "maxValue": "blueredany", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "S2 EXAM Matching sampling terms", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Match the following terms and definitions</p>", "advice": "", "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_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "minAnswers": 0, "maxAnswers": 0, "shuffleChoices": false, "shuffleAnswers": true, "displayType": "radiogroup", "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["Systematic sampling", "Discrete data", "Stratified sampling", "Quota sampling", "Sample", "Population"], "matrix": [["1", 0, 0, 0, 0, 0], [0, "1", 0, 0, 0, 0], [0, 0, "1", 0, 0, 0], [0, 0, 0, "1", 0, 0], [0, 0, 0, 0, "1", 0], [0, 0, 0, 0, 0, "1"]], "layout": {"type": "all", "expression": ""}, "answers": ["When the data is arranged in an ordered list and every nth value is chosen", "Data which can take specific values", "When a sample has the same proportion of a characteristic as the population", "When a sample is a targeted group", "A small group taken from a larger group", "The whole of the data"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "S2 EXAM Mean, median, mode", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Harry Flynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/976/"}, {"name": "Paul Finley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2232/"}, {"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "<div class=\"description\">\n<p>Topics covered are calculating the mean, median, mode and standard deviation.</p>\n<p>rebelmaths</p>\n</div>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Calculate the mean, median and mode of the numbers in this list:</p>\n<p>$\\var{a2}, \\var{a7}, \\var{a1}, \\var{a5}, \\var{a3}, \\var{a6}$ and $\\var{a4}$.</p>", "advice": "<p>Mean: Add up all the numbers and divide by the number of numbers.</p>\n<p>Median: middle value</p>\n<p>Mode: most common value</p>\n<p></p>", "rulesets": {"std": ["all", "!collectNumbers", "!noLeadingMinus"]}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a7": {"name": "a7", "group": "Ungrouped variables", "definition": "random(131..140)", "description": "", "templateType": "anything", "can_override": false}, "a2": {"name": "a2", "group": "Ungrouped variables", "definition": "random(116..121)", "description": "", "templateType": "anything", "can_override": false}, "a6": {"name": "a6", "group": "Ungrouped variables", "definition": "random(126..130)", "description": "", "templateType": "anything", "can_override": false}, "a4": {"name": "a4", "group": "Ungrouped variables", "definition": "random(122..125)", "description": "", "templateType": "anything", "can_override": false}, "a1": {"name": "a1", "group": "Ungrouped variables", "definition": "random(110..115)", "description": "", "templateType": "anything", "can_override": false}, "a3": {"name": "a3", "group": "Ungrouped variables", "definition": "a2", "description": "", "templateType": "anything", "can_override": false}, "a5": {"name": "a5", "group": "Ungrouped variables", "definition": "random(126..130 except a6)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a1", "a3", "a2", "a5", "a4", "a7", "a6"], "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>$\\text{mean}=\\;\\;$[[0]] (correct to two decimal places)</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{precround(1/7*(a1+a2+a3+a4+a5+a6+a7),2)}", "answerSimplification": "std", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.01, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": []}], "sortAnswers": false}, {"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>$\\text{median}=\\;\\;$[[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 2, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{a4}", "maxValue": "{a4}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\text{mode}=\\;\\;$[[0]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 2, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{a2}", "maxValue": "{a2}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "S2 EXAM Prob from table1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>The number of students in each year group of a school are shown in the table below.&nbsp;</p>\n<p></p>\n<table border=\"1\" cellpadding=\"1\" cellspacing=\"1\" style=\"float: left;\">\n<tbody>\n<tr>\n<td>Year</td>\n<td>5</td>\n<td>6</td>\n<td>7</td>\n<td>8</td>\n<td>9</td>\n</tr>\n<tr>\n<td>Number of students</td>\n<td>{Y5}</td>\n<td>{Y6}</td>\n<td>{Y7}</td>\n<td>{Y8}</td>\n<td>{Y9}</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"y5": {"name": "y5", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y6": {"name": "y6", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y7": {"name": "y7", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y8": {"name": "y8", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "y9": {"name": "y9", "group": "Ungrouped variables", "definition": "random(35 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "total": {"name": "total", "group": "Ungrouped variables", "definition": "Y5+Y6+Y7+Y8+Y9", "description": "", "templateType": "anything", "can_override": false}, "PY9": {"name": "PY9", "group": "Ungrouped variables", "definition": "Y9/total", "description": "", "templateType": "anything", "can_override": false}, "PY8": {"name": "PY8", "group": "Ungrouped variables", "definition": "y8/total", "description": "", "templateType": "anything", "can_override": false}, "PY7": {"name": "PY7", "group": "Ungrouped variables", "definition": "y7/total", "description": "", "templateType": "anything", "can_override": false}, "py6": {"name": "py6", "group": "Ungrouped variables", "definition": "y6/total\n", "description": "", "templateType": "anything", "can_override": false}, "py5": {"name": "py5", "group": "Ungrouped variables", "definition": "y5/total", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["y5", "y6", "y7", "y8", "y9", "total", "PY9", "PY8", "PY7", "py6", "py5"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How many students are there in the school?</p>", "minValue": "total", "maxValue": "total", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>A student is selected at random. What is the probability that they are in year 9? Give your answer as a fraction.</p>", "minValue": "py9", "maxValue": "py9", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Another student is selected at random from all of the students in the school. What is the probability that they are in years 5, 6 or 7? Give your answer as a fraction.</p>", "minValue": "py5+py6+py7", "maxValue": "py5+py6+py7", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "S2 EXAM Stratified Sampling", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "<p>The table shows the number of students studying particular subjects in a college. (Students only study one of these courses)</p>\n<table width=\"596\" height=\"45\" border=\"1\" style=\"height: 45px;\">\n<tbody>\n<tr style=\"background-color: #8deff2;\">\n<td style=\"width: 100px; text-align: center;\">Biology</td>\n<td style=\"width: 100px; text-align: center;\">Chemistry</td>\n<td style=\"width: 100px; text-align: center;\">Physics</td>\n<td style=\"width: 100px; text-align: center;\">Biochemistry</td>\n<td style=\"width: 100px; text-align: center;\">Maths</td>\n<td style=\"width: 100px; text-align: center;\">Statistics</td>\n</tr>\n<tr style=\"background-color: #8deff2;\">\n<td style=\"width: 100px; text-align: center;\">{biol}</td>\n<td style=\"width: 100px; text-align: center;\">{chem}</td>\n<td style=\"width: 100px; text-align: center;\">{phys}</td>\n<td style=\"width: 100px; text-align: center;\">{biochem}</td>\n<td style=\"width: 100px; text-align: center;\">{maths}</td>\n<td style=\"width: 100px; text-align: center;\">{stats}</td>\n</tr>\n</tbody>\n</table>\n<p>The university wants to select a sample of {sample} students to take part in a survey.&nbsp;</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"pop": {"name": "pop", "group": "Ungrouped variables", "definition": "random(2500..3000)", "description": "", "templateType": "anything", "can_override": false}, "biol": {"name": "biol", "group": "Ungrouped variables", "definition": "random(300..450)", "description": "", "templateType": "anything", "can_override": false}, "chem": {"name": "chem", "group": "Ungrouped variables", "definition": "random(300..450)", "description": "", "templateType": "anything", "can_override": false}, "phys": {"name": "phys", "group": "Ungrouped variables", "definition": "random(300..450)", "description": "", "templateType": "anything", "can_override": false}, "biochem": {"name": "biochem", "group": "Ungrouped variables", "definition": "random(300..450)\n", "description": "", "templateType": "anything", "can_override": false}, "maths": {"name": "maths", "group": "Ungrouped variables", "definition": "random(300..450)\n", "description": "", "templateType": "anything", "can_override": false}, "stats": {"name": "stats", "group": "Ungrouped variables", "definition": "pop-(biol+chem+phys+biochem+maths)\n", "description": "", "templateType": "anything", "can_override": false}, "sample": {"name": "sample", "group": "Ungrouped variables", "definition": "random(25..80)", "description": "", "templateType": "anything", "can_override": false}, "P1": {"name": "P1", "group": "Ungrouped variables", "definition": "(biol/pop)*100", "description": "", "templateType": "anything", "can_override": false}, "P2": {"name": "P2", "group": "Ungrouped variables", "definition": "(chem/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P3": {"name": "P3", "group": "Ungrouped variables", "definition": "(phys/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P4": {"name": "P4", "group": "Ungrouped variables", "definition": "(biochem/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P5": {"name": "P5", "group": "Ungrouped variables", "definition": "(maths/pop)*100\n", "description": "", "templateType": "anything", "can_override": false}, "P6": {"name": "P6", "group": "Ungrouped variables", "definition": "(stats/pop)*100", "description": "", "templateType": "anything", "can_override": false}, "N1": {"name": "N1", "group": "Ungrouped variables", "definition": "(P1/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N2": {"name": "N2", "group": "Ungrouped variables", "definition": "(P2/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N3": {"name": "N3", "group": "Ungrouped variables", "definition": "(P3/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N4": {"name": "N4", "group": "Ungrouped variables", "definition": "(P4/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N5": {"name": "N5", "group": "Ungrouped variables", "definition": "(P5/100)*sample", "description": "", "templateType": "anything", "can_override": false}, "N6": {"name": "N6", "group": "Ungrouped variables", "definition": "(P6/100)*sample", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pop", "biol", "chem", "phys", "biochem", "maths", "stats", "sample", "P1", "P2", "P3", "P4", "P5", "P6", "N1", "N2", "N3", "N4", "N5", "N6"], "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>Complete the table below to show the percentage of students for each course.</p>\n<p>Give your answer to 1 decimal place.</p>\n<table width=\"505\" height=\"46\" border=\"1\" style=\"height: 46px; float: left; width: 493px;\">\n<tbody>\n<tr>\n<td style=\"width: 81px;\">Biology</td>\n<td style=\"width: 81px;\">Chemistry</td>\n<td style=\"width: 82px;\">Physics</td>\n<td style=\"width: 83px;\">Biochemistry</td>\n<td style=\"width: 83px;\">&nbsp;Maths</td>\n<td style=\"width: 83px;\">Statistics</td>\n</tr>\n<tr>\n<td style=\"width: 81px;\">[[0]]</td>\n<td style=\"width: 81px;\">[[1]]</td>\n<td style=\"width: 82px;\">[[2]]</td>\n<td style=\"width: 83px;\">[[3]]</td>\n<td style=\"width: 83px;\">[[4]]</td>\n<td style=\"width: 83px;\">[[5]]</td>\n</tr>\n</tbody>\n</table>", "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, "minValue": "P1", "maxValue": "P2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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, "minValue": "P2", "maxValue": "P2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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, "minValue": "P3", "maxValue": "P3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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, "minValue": "P4", "maxValue": "P4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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, "minValue": "P5", "maxValue": "P5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "P6", "maxValue": "P6", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "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": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Complete the table to show the number of students needed for each course in the sample. Remember to round your answers to the nearest whole number.</p>\n<table width=\"558\" height=\"32\" border=\"1\" style=\"height: 52px; width: 480px;\">\n<tbody>\n<tr>\n<td style=\"width: 51.6458px;\">Biology</td>\n<td style=\"width: 71.5729px;\">Chemistry</td>\n<td style=\"width: 51.5417px;\">Physics</td>\n<td style=\"width: 90.9688px;\">Biochemistry</td>\n<td style=\"width: 44.5104px;\">&nbsp;Maths</td>\n<td style=\"width: 75.0938px;\">Statistics</td>\n</tr>\n<tr>\n<td style=\"width: 51.6458px;\">[[0]]</td>\n<td style=\"width: 71.5729px;\">[[1]]</td>\n<td style=\"width: 51.5417px;\">[[2]]</td>\n<td style=\"width: 90.9688px;\">[[3]]</td>\n<td style=\"width: 44.5104px;\">[[4]]</td>\n<td style=\"width: 75.0938px;\">[[5]]</td>\n</tr>\n</tbody>\n</table>", "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, "minValue": "N1-1", "maxValue": "N1+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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"}, {"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, "minValue": "N2-1", "maxValue": "N2+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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"}, {"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, "minValue": "N3-1", "maxValue": "N3+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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"}, {"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, "minValue": "N4-1", "maxValue": "N4+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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"}, {"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, "minValue": "N5-1", "maxValue": "N5+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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"}, {"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, "minValue": "N6-1", "maxValue": "N6+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "S2 EXAM Tree 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Marlene is learning to drive. The probability that she passes her driving test on any attempt is {pass}</p>\n<p>Answer the following questions.</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"pass": {"name": "pass", "group": "Ungrouped variables", "definition": "random(0.6 .. 0.9#0.1)", "description": "", "templateType": "randrange", "can_override": false}, "pass3": {"name": "pass3", "group": "Ungrouped variables", "definition": "fail*fail*pass", "description": "", "templateType": "anything", "can_override": false}, "fail": {"name": "fail", "group": "Ungrouped variables", "definition": "1-pass", "description": "", "templateType": "anything", "can_override": false}, "pass2": {"name": "pass2", "group": "Ungrouped variables", "definition": "fail*pass", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pass", "pass3", "fail", "pass2"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she passes at the first attemot?</p>", "minValue": "pass", "maxValue": "pass", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, 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"extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that she passes in fewer than 4 attempts?</p>", "minValue": "pass+pass2+pass3", "maxValue": "pass+pass2+pass3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "4", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "S2 EXAM Venn4", "extensions": ["eukleides", "jsxgraph"], "custom_part_types": [], "resources": [["question-resources/newspaper.jpg", "/srv/numbas/media/question-resources/newspaper.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "http://localhost:8000/accounts/profile/1/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": ["category: statistics", "leads to: 335, Venn Diagrams (conditional prob.)", "skill: 234, Venn Diagrams (probability)"], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>This question gives some information about which newspaper is read by a group of people.&nbsp;</p>\n<p><img src=\"resources/question-resources/newspaper.jpg\" width=\"494\" height=\"247\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"diagram": {"name": "diagram", "group": "Ungrouped variables", "definition": "eukleides(\"A Venn diagram with {justA} in just The Times, {justB} in just The Guardian, {both} in both, and {neither} in neither\",\n[\ncircle(point(0,0),2) color1 filled opacity(0.5),\npoint(-1,2) label(\"The Guardian\",deg(180)),\ncircle(point(3,0),2) color2 filled opacity(0.5),\npoint(4,2) label(\"The Independent\",deg(0)),\npoint(0,0) label(justA,deg(180)),\npoint(3,0) label(justB,deg(0)),\npoint(1.5,0) label(both,0),\npoint(6,0) 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"anything", "can_override": false}, "neither": {"name": "neither", "group": "Ungrouped variables", "definition": "group[3]", "description": "", "templateType": "anything", "can_override": false}, "p": {"name": "p", "group": "Ungrouped variables", "definition": "(justA+justB)/(justA+justB+both+neither)", "description": "", "templateType": "anything", "can_override": false}, "pb": {"name": "pb", "group": "Ungrouped variables", "definition": "both/(justA+justB+both+neither)", "description": "", "templateType": "anything", "can_override": false}, "ponlyGuardian": {"name": "ponlyGuardian", "group": "Ungrouped variables", "definition": "justB/(justA+justB+both+neither)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["groups", "group", "justA", "justB", "both", "neither", "diagram", "p", "pb", "ponlyGuardian"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, 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"numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the probability that a randomly chosen person reads both?</p>\n<p>Give your answer as a fraction.</p>", "minValue": "pb", "maxValue": "pb", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, 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"contributors": [{"name": "Bill Foster", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/6/"}, {"name": "Yvonne Wancke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3703/"}], "tags": [], "metadata": {"description": "<p>Find a regression equation.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>A college compares the exam results for students in two tests. Here are the results.</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th align=\"left\">Student</th>\n<th>$\\var{obj[0]}$</th>\n<th>$\\var{obj[1]}$</th>\n<th>$\\var{obj[2]}$</th>\n<th>$\\var{obj[3]}$</th>\n<th>$\\var{obj[4]}$</th>\n<th>$\\var{obj[5]}$</th>\n<th>$\\var{obj[6]}$</th>\n<th>$\\var{obj[7]}$</th>\n<th>$\\var{obj[8]}$</th>\n<th>$\\var{obj[9]}$</th>\n</tr>\n<tr>\n<th align=\"left\">First Test $(X)$</th>\n<td>$\\var{r1[0]}$</td>\n<td>$\\var{r1[1]}$</td>\n<td>$\\var{r1[2]}$</td>\n<td>$\\var{r1[3]}$</td>\n<td>$\\var{r1[4]}$</td>\n<td>$\\var{r1[5]}$</td>\n<td>$\\var{r1[6]}$</td>\n<td>$\\var{r1[7]}$</td>\n<td>$\\var{r1[8]}$</td>\n<td>$\\var{r1[9]}$</td>\n</tr>\n<tr>\n<th align=\"left\">Later Score $(Y)$</th>\n<td>$\\var{r2[0]}$</td>\n<td>$\\var{r2[1]}$</td>\n<td>$\\var{r2[2]}$</td>\n<td>$\\var{r2[3]}$</td>\n<td>$\\var{r2[4]}$</td>\n<td>$\\var{r2[5]}$</td>\n<td>$\\var{r2[6]}$</td>\n<td>$\\var{r2[7]}$</td>\n<td>$\\var{r2[8]}$</td>\n<td>$\\var{r2[9]}$</td>\n</tr>\n</tbody>\n</table>", 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"repeat(round(normalsample(67,8)),10)", "description": "", "templateType": "anything", "can_override": false}, "r2": {"name": "r2", "group": "Ungrouped variables", "definition": "map(round(a1+b1*x+random(-9..9)),x,r1)", "description": "", "templateType": "anything", "can_override": false}, "ss": {"name": "ss", "group": "Ungrouped variables", "definition": "[ssq[0]-t[0]^2/n,ssq[1]-t[1]^2/n]", "description": "", "templateType": "anything", "can_override": false}, "res": {"name": "res", "group": "Ungrouped variables", "definition": "map(precround(r2[x]-(a+b*r1[x]),2),x,0..n-1)", "description": "", "templateType": "anything", "can_override": false}, "ssq": {"name": "ssq", "group": "Ungrouped variables", "definition": "[sum(map(x^2,x,r1)),sum(map(x^2,x,r2))]", "description": "", "templateType": "anything", "can_override": false}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "10", "description": "", "templateType": "anything", "can_override": false}, "a1": {"name": "a1", "group": "Ungrouped variables", "definition": "random(10..20)", "description": "", "templateType": "anything", "can_override": false}, "ch": {"name": "ch", "group": "Ungrouped variables", "definition": "random(0..9)", "description": "", "templateType": "anything", "can_override": false}, "spxy": {"name": "spxy", "group": "Ungrouped variables", "definition": "sxy-t[0]*t[1]/n", "description": "", "templateType": "anything", "can_override": false}, "t": {"name": "t", "group": "Ungrouped variables", "definition": "[sum(r1),sum(r2)]", "description": "", "templateType": "anything", "can_override": false}, "tol": {"name": "tol", "group": "Ungrouped variables", "definition": "0.001", "description": "", "templateType": "anything", "can_override": false}, "sc": {"name": "sc", "group": "Ungrouped variables", "definition": "r1[ch]", "description": "", "templateType": "anything", "can_override": false}, "sxy": {"name": "sxy", "group": "Ungrouped variables", "definition": 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