// Numbas version: finer_feedback_settings
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calculate 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ian Loasby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/890/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}], "variables": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [], "ungrouped_variables": [], "preamble": {"js": "", "css": ""}, "rulesets": {}, "tags": [], "parts": [{"scripts": {}, "showCorrectAnswer": true, "prompt": "<p>Calculate the value of $y$ when $\\frac{3}{y}=\\frac{5}{(y-6)}$</p>\n<p>$y$ = [[0]]</p>", "showFeedbackIcon": true, "sortAnswers": false, "gaps": [{"scripts": {}, "showCorrectAnswer": true, "type": "numberentry", "showFeedbackIcon": true, "correctAnswerFraction": false, "unitTests": [], "notationStyles": ["plain", "en", "si-en"], "marks": 1, "customMarkingAlgorithm": "", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "maxValue": "-9", "extendBaseMarkingAlgorithm": true, "minValue": "-9", "mustBeReducedPC": 0, "variableReplacements": [], "allowFractions": false}], "variableReplacements": [], "marks": 0, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "unitTests": [], "customMarkingAlgorithm": ""}], "functions": {}, "advice": "", "statement": "", "metadata": {"licence": "None specified", "description": ""}, "type": "question"}, {"name": "simplification", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ian Loasby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/890/"}], "statement": "", "ungrouped_variables": [], "advice": "", "rulesets": {}, "metadata": {"description": "", "licence": "None specified"}, "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "parts": [{"showFeedbackIcon": true, "variableReplacements": [], "marks": 0, "scripts": {}, "extendBaseMarkingAlgorithm": true, "gaps": [{"checkVariableNames": false, "showFeedbackIcon": true, "vsetRangePoints": 5, "checkingAccuracy": 0.001, "vsetRange": [0, 1], "failureRate": 1, "extendBaseMarkingAlgorithm": true, "answer": "x^2+3x-10", "scripts": {}, "unitTests": [], "showCorrectAnswer": true, "checkingType": "absdiff", "customMarkingAlgorithm": "", "expectedVariableNames": [], "showPreview": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "jme", "marks": 1}], "unitTests": [], "showCorrectAnswer": true, "prompt": "<p>Expand and simplify the expression $(x-2)(x+5)$</p>\n<p>[[0]]</p>", "sortAnswers": false, "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst"}], "variables": {}, "variable_groups": [], "preamble": {"css": "", "js": ""}, "tags": [], "type": "question"}, {"name": "algebra - 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Please include brackets but your expression can be written in either order.</p>", "expectedVariableNames": [], "answer": "(x+3)(x-5)", "showCorrectAnswer": true, "vsetRange": [0, 1], "marks": 1, "variableReplacements": []}], "tags": [], "ungrouped_variables": [], "type": "question"}, {"name": "roots of equation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ian Loasby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/890/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}], "ungrouped_variables": [], "tags": [], "functions": {}, "variable_groups": [], "rulesets": {}, "variables": {}, "advice": "", "statement": "", "preamble": {"js": "", "css": ""}, "metadata": {"licence": "None specified", "description": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"showFeedbackIcon": true, "showCorrectAnswer": true, "prompt": "<p>Calculate the values of $q$ when $5q^2 + 13q -6 =0$</p>\n<p>Enter the lowest value first:&nbsp;</p>\n<p>$q=$ [[0]] ,&nbsp;[[1]]</p>\n<p></p>\n<p></p>", "scripts": {}, "type": "gapfill", "gaps": [{"showFeedbackIcon": true, "showCorrectAnswer": true, "allowFractions": false, "scripts": {}, "type": "numberentry", "mustBeReduced": false, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacements": [], "maxValue": "-3", "correctAnswerStyle": "plain", "extendBaseMarkingAlgorithm": true, "mustBeReducedPC": 0, "minValue": "-3", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "marks": 1, "variableReplacementStrategy": "originalfirst"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "allowFractions": false, "scripts": {}, "type": "numberentry", "mustBeReduced": false, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacements": [], "maxValue": "0.4", "correctAnswerStyle": 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"marks": 1, "scripts": {}, "extendBaseMarkingAlgorithm": true, "unitTests": [], "mustBeReduced": false, "showCorrectAnswer": true, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "customMarkingAlgorithm": "", "type": "numberentry", "variableReplacementStrategy": "originalfirst", "mustBeReducedPC": 0}], "unitTests": [], "showCorrectAnswer": true, "prompt": "<p>What is the value of $n$ if $\\frac{x^n}{x^4}=x^2$</p>\n<p>[[0]]</p>", "sortAnswers": false, "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst"}], "statement": "", "ungrouped_variables": [], "advice": "", "metadata": {"description": "", "licence": "None specified"}, "variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {}, "variable_groups": [], "variables": {}, "functions": {}, "preamble": {"css": "", "js": ""}, "tags": [], "type": "question"}, {"name": "indices 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ian Loasby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/890/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}], "variables": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [], "ungrouped_variables": [], "preamble": {"js": "", "css": ""}, "rulesets": {}, "tags": [], "parts": [{"scripts": {}, "showCorrectAnswer": true, "prompt": "<p>The following expression can be simplified to&nbsp;the form $a^n$, determine the value of $n$ for $\\displaystyle \\frac{a^2 \\times a^5}{(a^3)^3}$</p>\n<p><br/>$n=$ [[0]]</p>", "showFeedbackIcon": true, "sortAnswers": false, "gaps": [{"scripts": {}, "showCorrectAnswer": true, "type": "numberentry", "showFeedbackIcon": true, "correctAnswerFraction": false, "unitTests": [], "notationStyles": ["plain", "en", 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"Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": ""}, "preamble": {"css": "", "js": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "", "advice": "", "rulesets": {}, "tags": [], "ungrouped_variables": [], "parts": [{"scripts": {}, "sortAnswers": false, "showCorrectAnswer": true, "unitTests": [], "type": "gapfill", "extendBaseMarkingAlgorithm": true, "gaps": [{"extendBaseMarkingAlgorithm": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "notationStyles": ["plain", "en", "si-en"], "unitTests": [], "strictPrecision": true, "minValue": "35.0", "showPrecisionHint": true, "variableReplacements": [], "mustBeReducedPC": 0, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "allowFractions": false, "scripts": {}, "precision": "3", "correctAnswerStyle": "plain", "type": "numberentry", "maxValue": "35.0", "mustBeReduced": false, "precisionPartialCredit": 0, "variableReplacementStrategy": "originalfirst", "marks": 1, "precisionType": "sigfig", "precisionMessage": "You have not given your answer to the correct precision."}], "prompt": "<p>The resistance $R$ of a wire at temperature $T^{\\circ}$C is given by $R=R_0(1+\\alpha T)$.</p>\n<p>Calculate $R$ if $\\alpha = 6.8\\times 10^{-4}$, $T=89^{\\circ}$C and $R_0=33 \\Omega$.<br/><br/></p>\n<p>[[0]]</p>", "variableReplacements": [], "showFeedbackIcon": true, "customMarkingAlgorithm": "", "marks": 0, "variableReplacementStrategy": "originalfirst"}], "functions": {}, "variables": {}, "variable_groups": [], "type": "question"}, {"name": "electrical 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ian Loasby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/890/"}], "parts": [{"marks": 0, "gaps": [{"marks": 1, "allowFractions": false, "unitTests": [], "maxValue": "10", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain", "correctAnswerFraction": false, "variableReplacements": [], "mustBeReducedPC": 0, "customMarkingAlgorithm": "", "type": "numberentry", "scripts": {}, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "minValue": "10", "showFeedbackIcon": true}], "unitTests": [], "prompt": "<p>If the current $I=2$A and voltage $V=5$V, calculate the power P, dissipated in a circuit if $I=\\frac{P}{V}$</p>\n<p>[[0]]&nbsp;W</p>", "variableReplacements": [], "customMarkingAlgorithm": "", "type": "gapfill", "scripts": {}, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "sortAnswers": false, "showFeedbackIcon": true}], 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"N^2y-x", "vsetRangePoints": 5, "unitTests": [], "showCorrectAnswer": true, "checkingType": "absdiff", "showPreview": true, "expectedVariableNames": [], "failureRate": 1, "customMarkingAlgorithm": "", "type": "jme", "variableReplacementStrategy": "originalfirst", "vsetRange": [0, 1]}], "unitTests": [], "showCorrectAnswer": true, "prompt": "<p>Transpose (rearrange) the following to make $a$ the subject of the formula $\\displaystyle N = \\sqrt{\\frac{a+x}{y}}$</p>\n<p>$a=$&nbsp;[[0]]</p>", "sortAnswers": false, "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst"}], "statement": "", "ungrouped_variables": [], "advice": "", "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {}, "variable_groups": [], "variables": {}, "functions": {}, "preamble": {"css": "", "js": ""}, "tags": [], "type": "question"}, {"name": 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"variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "allowFractions": false, "mustBeReduced": false, "customMarkingAlgorithm": "", "maxValue": "3", "marks": 1}, {"showCorrectAnswer": true, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "unitTests": [], "mustBeReducedPC": 0, "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "minValue": "2", "correctAnswerStyle": "plain", "type": "numberentry", "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "allowFractions": false, "mustBeReduced": false, "customMarkingAlgorithm": "", "maxValue": "2", "marks": 1}], "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "showFeedbackIcon": true, "type": "gapfill", "variableReplacements": [], "scripts": {}, "customMarkingAlgorithm": "", "prompt": "<p>Solve the simultaneous equations</p>\n<p>$2x + 3y = 12$</p>\n<p>and</p>\n<p>$3x + 4y = 17$</p>\n<p></p>\n<p>$x=$&nbsp;[[0]]</p>\n<p>$y=$ 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You will need to use one of the following kinematic equations:</p>\n<p>\\[v^2 = u^2 + 2as\\]<br/>\\[v = u + at\\]<br/>\\[s = \\frac{1}{2}(u+v)t\\]<br/>\\[s = ut + \\frac{1}{2}at^2\\]</p>\n<p>where $u$ is the initial velocity, $v$ is the final velocity, $t$ is time, $s$ is displacement and $a$ is acceleration.</p>\n<p><br/>[[0]] $m/s^2$</p>", "showCorrectAnswer": true, "sortAnswers": false, "gaps": [{"unitTests": [], "showCorrectAnswer": true, "correctAnswerFraction": false, "minValue": "1.68", "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": "50", "scripts": {}, "customMarkingAlgorithm": "", "precision": "2", "variableReplacementStrategy": "originalfirst", "mustBeReduced": false, "type": "numberentry", "strictPrecision": true, "showFeedbackIcon": true, "mustBeReducedPC": 0, "variableReplacements": [], "allowFractions": false, "extendBaseMarkingAlgorithm": true, "showPrecisionHint": true, "marks": "2", "correctAnswerStyle": "plain", "precisionType": "dp", "notationStyles": ["plain", "en", "si-en"], "maxValue": "1.68"}], "extendBaseMarkingAlgorithm": true, "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "type": "gapfill", "variableReplacementStrategy": "originalfirst"}], "functions": {}, "metadata": {"description": "", "licence": "None specified"}, "type": "question"}, {"name": "Mechanics 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ian Loasby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/890/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}], "variable_groups": [], "tags": [], "advice": "", "statement": "", "ungrouped_variables": ["m", "h"], "variablesTest": {"condition": "", "maxRuns": 100}, "variables": {"h": {"name": "h", "description": "", "definition": "random(3..10#1)", "group": "Ungrouped variables", "templateType": "randrange"}, "m": {"name": "m", "description": "", "definition": "random(4..8#1)", "group": "Ungrouped variables", "templateType": "randrange"}}, "preamble": {"css": "", "js": ""}, "rulesets": {}, "parts": [{"showFeedbackIcon": true, "unitTests": [], "variableReplacements": [], "prompt": "<p>An object of mass 5 kg is dropped from a height of 3 m. 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