// Numbas version: exam_results_page_options
{"name": "Algebra 1 Topic 2 Preview exercise", "metadata": {"description": "<p>These question are designed to be completed without using a calculator.</p>", "licence": "None specified"}, "duration": 1200, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": false, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", ""], "variable_overrides": [[], [], [], [], []], "questions": [{"name": "Write a proportion as a fraction ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}, {"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}], "tags": [], "metadata": {"description": "<p>Write a proportion as a fraction (no variables used)</p>", "licence": "None specified"}, "statement": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p><em>Complete the following without&nbsp;using a calculator.</em></p>\n<p><em>Enter your answer as a fraction using the forward-slash key. </em></p>\n<p><em>For example, you would enter 1 third as 1/3.</em></p>", "advice": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>First, calculate the total number of pages in the book.&nbsp; &nbsp; 15+7=22</p>\n<p>Next write the proportion read as a fraction, with the number of&nbsp;pages read on the top, and the total number of pages on the bottom.&nbsp;</p>\n<p>Laya has read $\\frac{15}{22}$ of the book.</p>\n<p></p>\n<p>[Tip: Fractions can describe the relationship between the part(s) and the whole. The number on the bottom of the fraction (the denominator) tells you how many equal-sized parts make up the whole (total). The number on the top (the numerator) tells you the number of parts selected (the number of pages read). That is $ \\frac{part}{whole}$ = $ \\frac{15} {22}$&nbsp; of the book.</p>\n<p></p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"den": {"name": "den", "group": "Ungrouped variables", "definition": "num+increment", "description": "<p>This is the denominator of the unsimplified answer. It is forced to be larger than the numerator to ensure a proper fraction by the use of the increment.</p>", "templateType": "anything", "can_override": false}, "scale_factor": {"name": "scale_factor", "group": "Ungrouped variables", "definition": "random(6 .. 24#1)", "description": "<p>The scale factor ensures that the book has enough pages, and that the fraction answer will require simplification.</p>", "templateType": "randrange", "can_override": false}, "denominator": {"name": "denominator", "group": "Ungrouped variables", "definition": "den/hcf", "description": "<p>This is the denominator of the final simplified answer.</p>", "templateType": "anything", "can_override": false}, "pagesleft": {"name": "pagesleft", "group": "Ungrouped variables", "definition": "scale_factor*(denominator-numerator)", "description": "<p>This is given in the question. It is the number of pages already read. It is calculated by multiplying the difference between the&nbsp;denominator and the&nbsp;numerator of the final answer by the scale factor.</p>", "templateType": "anything", "can_override": false}, "num": {"name": "num", "group": "Ungrouped variables", "definition": "random(1 .. 6#1)", "description": "<p>This is the numerator of the unsimplified answer. It is the starting point of the fraction answer set-up.</p>", "templateType": "randrange", "can_override": false}, "pagesread": {"name": "pagesread", "group": "Ungrouped variables", "definition": "scale_factor*numerator", "description": "<p>This is given in the question. It is calculated by multiplying the numerator of the final answer by the scale factor.</p>", "templateType": "anything", "can_override": false}, "numerator": {"name": "numerator", "group": "Ungrouped variables", "definition": "num/hcf", "description": "<p>This is the numerator of the final simplified answer.</p>", "templateType": "anything", "can_override": false}, "hcf": {"name": "hcf", "group": "Ungrouped variables", "definition": "gcd(num,den)", "description": "<p>This is the highest common factor of num and den. They are divided by it to give the final simplified answer.</p>", "templateType": "anything", "can_override": false}, "increment": {"name": "increment", "group": "Ungrouped variables", "definition": "random(1..5 except num)", "description": "<p>The increment is added to numerator to force the denominator to be larger than the numerator. This ensures a proper fraction.</p>", "templateType": "anything", "can_override": false}, "NamesIndex": {"name": "NamesIndex", "group": "Ungrouped variables", "definition": "random(0 .. 6#1)", "description": "<p>The random number used to index the list of names.</p>", "templateType": "randrange", "can_override": false}, "Names": {"name": "Names", "group": "Ungrouped variables", "definition": "[ \"Nick\", \"Jessi\", \"Ali\", \"Jo\", \"Lachlan\", \"Ravi\", \"Elisa\" ]", "description": "<p>The lsit of names from which one name is selected.</p>", "templateType": "list of strings", "can_override": false}, "name": {"name": "name", "group": "Ungrouped variables", "definition": "Names[NamesIndex]", "description": "<p>The chosen name for the question.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "numerator<denominator", "maxRuns": 100}, "ungrouped_variables": ["pagesread", "pagesleft", "scale_factor", "increment", "denominator", "numerator", "num", "den", "hcf", "NamesIndex", "Names", "name"], "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>Laya has read 15 pages of a book. There are still 7 pages yet to read.&nbsp; What fraction of the whole book has Laya read?</p>\n<p>[[0]]</p>", "gaps": [{"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, "minValue": "15/22", "maxValue": "15/22", "correctAnswerFraction": true, "allowFractions": true, "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"}, {"name": " Multiply and divide decimals", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}], "tags": [], "metadata": {"description": "<p>Without a calculator no variables used in (b)</p>\n<p>a) Multiply two decimals (user-friendly numbers).&nbsp;</p>\n<p>b) Divide decimals (user-friendly numbers)</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p><em>Complete the following without using a calculator.</em></p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"ab0t0last": {"name": "ab0t0last", "group": "2digit", "definition": "mod(ab0t0,10)", "description": "", "templateType": "anything", "can_override": false}, "abot": {"name": "abot", "group": "2digit", "definition": "if(adigs[2]<>0,[adigs[3],adigs[2]],[adigs[2],adigs[3]])", "description": "<p><g class=\"gr_ gr_3 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"3\" data-gr-id=\"3\">abot</g></p>", "templateType": "anything", "can_override": false}, "ab1t0last": {"name": "ab1t0last", "group": "2digit", "definition": "mod(ab1t0,10)", "description": "", "templateType": "anything", "can_override": false}, "ab0t1carry": {"name": "ab0t1carry", "group": "2digit", "definition": "(ab0t1pluscarry-ab0t1last)/10", "description": "", "templateType": "anything", "can_override": false}, "adps": {"name": "adps", "group": "2digit", "definition": "log(afactprod)", "description": "", "templateType": "anything", "can_override": false}, "adec1": {"name": "adec1", "group": "2digit", "definition": "atopnum/afact1", "description": "", "templateType": "anything", "can_override": false}, "afact1": {"name": "afact1", "group": "2digit", "definition": "random(10,100,1000,10000)", "description": "", "templateType": "anything", "can_override": false}, "adpsword": {"name": "adpsword", "group": "2digit", "definition": "switch(adps=6,\"six\", adps=5, \"five\", adps=4,\"four\", adps=3,\"three\", adps=2, \"two\", adps=1,\"one\",adps=7,\"seven\",adps)", "description": "", "templateType": "anything", "can_override": false}, "ab1t1carry": {"name": "ab1t1carry", "group": "2digit", "definition": "(ab1t1pluscarry-ab1t1last)/10", "description": "", "templateType": "anything", "can_override": false}, "adigs": {"name": "adigs", "group": "2digit", "definition": "shuffle(1..9)[0..4]", "description": "<p>we want distinct digits so it is easier to refer to digits unambiguously.&nbsp;</p>", "templateType": "anything", "can_override": false}, "ab0t1": {"name": "ab0t1", "group": "2digit", "definition": "abot[0]*atop[1]", "description": "", "templateType": "anything", "can_override": false}, "ab1t1": {"name": "ab1t1", "group": "2digit", "definition": "abot[1]*atop[1]", "description": "", "templateType": "anything", "can_override": false}, "ab0t1last": {"name": "ab0t1last", "group": "2digit", "definition": "mod(ab0t1pluscarry,10)", "description": "", "templateType": "anything", "can_override": false}, "ab0t1pluscarry": {"name": "ab0t1pluscarry", "group": "2digit", "definition": "ab0t1+ab0t0carry", "description": "<p>ab</p>", "templateType": "anything", "can_override": false}, "aans": {"name": "aans", "group": "2digit", "definition": "atopnum*abotnum", "description": "", "templateType": "anything", "can_override": false}, "easydigprod": {"name": "easydigprod", "group": "Ungrouped variables", "definition": "easydig1*easydig2", "description": "", "templateType": "anything", "can_override": false}, "easyans": {"name": "easyans", "group": "Ungrouped variables", "definition": "easydigprod/(easyfactprod)", "description": "<p>eas</p>", "templateType": "anything", "can_override": false}, "easyfactprod": {"name": "easyfactprod", "group": "Ungrouped variables", "definition": "easyfact1*easyfact2", "description": "", "templateType": "anything", "can_override": false}, "easyfact2": {"name": "easyfact2", "group": "Ungrouped variables", "definition": "if(easyfact1=1,random(10,100,1000),random(1,10,100,1000))", "description": "", "templateType": "anything", "can_override": false}, "easy1": {"name": "easy1", "group": "Ungrouped variables", "definition": "easydig1/easyfact1", "description": "", "templateType": "anything", "can_override": false}, "afactprod": {"name": "afactprod", "group": "2digit", "definition": "afact1*afact2", "description": "", "templateType": "anything", "can_override": false}, "dps": {"name": "dps", "group": "Ungrouped variables", "definition": "log(easyfactprod)", "description": "", "templateType": "anything", "can_override": false}, "ab0t0carry": {"name": "ab0t0carry", "group": "2digit", "definition": "(ab0t0-ab0t0last)/10", "description": "", "templateType": "anything", "can_override": false}, "aanstho": {"name": "aanstho", "group": "2digit", "definition": "mod((aans-aansone-aansten*10-aanshun*100)/1000,10)", "description": "", "templateType": "anything", "can_override": false}, "adec2": {"name": "adec2", "group": "2digit", "definition": "abotnum/afact2", "description": "", "templateType": "anything", "can_override": false}, "atopnum": {"name": "atopnum", "group": "2digit", "definition": "atop[1]*10+atop[0]", "description": "", "templateType": "anything", "can_override": false}, "ab1t1pluscarry": {"name": "ab1t1pluscarry", "group": "2digit", "definition": "ab1t1+ab1t0carry", "description": "", "templateType": "anything", "can_override": false}, "asum1": {"name": "asum1", "group": "2digit", "definition": "abot[0]*atopnum", "description": "", "templateType": "anything", "can_override": false}, "ab0t0": {"name": "ab0t0", "group": "2digit", "definition": "atop[0]*abot[0]", "description": "", "templateType": "anything", "can_override": false}, "easy2": {"name": "easy2", "group": "Ungrouped variables", "definition": "easydig2/easyfact2", "description": "", "templateType": "anything", "can_override": false}, "asum2": {"name": "asum2", "group": "2digit", "definition": "10*abot[1]*atopnum", "description": "<p>sum2</p>", "templateType": "anything", "can_override": false}, "aansten": {"name": "aansten", "group": "2digit", "definition": "mod((aans-aansone)/10,10)", "description": "", "templateType": "anything", "can_override": false}, "aansone": {"name": "aansone", "group": "2digit", "definition": "mod(aans,10)", "description": "", "templateType": "anything", "can_override": false}, "ab1t0carry": {"name": "ab1t0carry", "group": "2digit", "definition": "(ab1t0-ab1t0last)/10", "description": "", "templateType": "anything", "can_override": false}, "abotnum": {"name": "abotnum", "group": "2digit", "definition": "abot[1]*10+abot[0]", "description": "<p><g class=\"gr_ gr_3 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"3\" data-gr-id=\"3\">botnum</g></p>", "templateType": "anything", "can_override": false}, "atop": {"name": "atop", "group": "2digit", "definition": "if(adigs[0]<>0,[adigs[1],adigs[0]],[adigs[0],adigs[1]])", "description": "", "templateType": "anything", "can_override": false}, "ab1t0": {"name": "ab1t0", "group": "2digit", "definition": "abot[1]*atop[0]", "description": "", "templateType": "anything", "can_override": false}, "aanshun": {"name": "aanshun", "group": "2digit", "definition": "mod((aans-aansone-aansten*10)/100,10)", "description": "", "templateType": "anything", "can_override": false}, "adecans": {"name": "adecans", "group": "2digit", "definition": "aans/afactprod", "description": "", "templateType": "anything", "can_override": false}, "afact2": {"name": "afact2", "group": "2digit", "definition": "if(afact1=10000,random(10,100,1000),random(10,100,1000,10000))", "description": "", "templateType": "anything", "can_override": false}, "easyfact1": {"name": "easyfact1", "group": "Ungrouped variables", "definition": "random(1,10,100,1000)", "description": "", "templateType": "anything", "can_override": false}, "ab1t1last": {"name": "ab1t1last", "group": "2digit", "definition": "mod(ab1t1pluscarry,10)", "description": "", "templateType": "anything", "can_override": false}, "easydig1": {"name": "easydig1", "group": "Ungrouped variables", "definition": "random(3..9)", "description": "", "templateType": "anything", "can_override": false}, "easydig2": {"name": "easydig2", "group": "Ungrouped variables", "definition": "if(easydig1=3,random(4..9),random(3..9))", "description": "", "templateType": "anything", "can_override": false}, "dpsword": {"name": "dpsword", "group": "Ungrouped variables", "definition": "switch(dps=6,\"six\", dps=5, \"five\", dps=4,\"four\", dps=3,\"three\", dps=2, \"two\", dps=1,\"one\",dps)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["easydig1", "easydig2", "easyfact1", "easyfact2", "easydigprod", "easyfactprod", "easy1", "easy2", "easyans", "dps", "dpsword"], "variable_groups": [{"name": "2digit", "variables": ["adigs", "atop", "abot", "atopnum", "abotnum", "aans", "ab0t0", "ab0t0last", "ab0t0carry", "ab0t1", "ab0t1pluscarry", "ab0t1last", "ab0t1carry", "ab1t0", "ab1t0last", "ab1t0carry", "ab1t1", "ab1t1pluscarry", "ab1t1last", "ab1t1carry", "asum1", "asum2", "aansone", "aansten", "aanshun", "aanstho", "afact1", "afact2", "afactprod", "adps", "adpsword", "adec1", "adec2", "adecans"]}], "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>$\\var{easy1}\\times \\var{easy2}= $&nbsp;[[0]]</p>", "gaps": [{"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, "minValue": "easyans", "maxValue": "easyans", "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>$3.6\\div0.3 = $ [[0]]</p>\n<p></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, "minValue": "12", "maxValue": "12", "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"}, {"name": "Change between fraction, decimal and percentage form (B)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}], "tags": [], "metadata": {"description": "<p>Three parts. No variables used in (b) and (c)</p>\n<p>Rewrite a fraction as a decimal,&nbsp; percent as a frac, perc as a dec</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Complete the following without using a calculator.</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"b": {"name": "b", "group": "Ungrouped variables", "definition": "random(2,4,5,10,20,25,50,100)", "description": "", "templateType": "anything", "can_override": false}, "u": {"name": "u", "group": "Ungrouped variables", "definition": "random(0.5,80,37.5,5,2,1.01)", "description": "", "templateType": "anything", "can_override": false}, "x": {"name": "x", "group": "Ungrouped variables", "definition": "random(1,3,5)", "description": "", "templateType": "anything", "can_override": false}, "y": {"name": "y", "group": "Ungrouped variables", "definition": "random(1,2,4)", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "x<>y", "maxRuns": 100}, "ungrouped_variables": ["b", "a", "x", "y", "u"], "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>Rewrite the following in&nbsp;decimal&nbsp;form.</p>\n<p>$\\frac{\\var{y}}{3}$</p>", "minValue": "y/3", "maxValue": "y/3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "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, "prompt": "<p>Rename the following percentage as a fraction.</p>\n<p>Use the / key to enter a fraction answer.</p>\n<p>$8\\%$</p>", "minValue": "2/25", "maxValue": "2/25", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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>Rename the following percentage as a decimal.</p>\n<p>$7.5\\%$</p>\n<p>&nbsp;</p>", "minValue": "0.075", "maxValue": "0.075", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Convert a proportion to a percentage", "extensions": [], "custom_part_types": [], "resources": [["question-resources/14_out_of_20.jpg", "/srv/numbas/media/question-resources/14_out_of_20.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}, {"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}], "tags": [], "metadata": {"description": "<p>Without a calculator, write a proportion as a percentage (no variables used)</p>", "licence": "All rights reserved"}, "statement": "<p><em>Complete the following without a calculator.</em></p>", "advice": "<p>First work out the number of students who do NOT speak a language other than English at home. In this case it is&nbsp;{class_size} - {num_students} = {class_size-num_students} students.</p>\n<p>Then&nbsp;write this as a fraction out of {class_size}.&nbsp; &nbsp;$ \\frac{\\var{class_size-num_students}} {\\var{class_size}} $</p>\n<p>Then convert this&nbsp;to a percentage. You could multiply the fraction by&nbsp;&nbsp;$ \\frac{\\var{100/class_size}}{\\var{100/class_size}} $ in order to scale up to a mark out of 100.&nbsp;</p>\n<p>&nbsp;$ \\frac{\\var{class_size-num_students}} {\\var{class_size}} $ x&nbsp;$ \\frac{\\var{100/class_size}}{\\var{100/class_size}} $ = $ \\frac{\\var{(class_size-num_students)/class_size*100}}{100}$ = $\\var{(class_size-num_students)/class_size*100}\\%$</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"num_students": {"name": "num_students", "group": "Ungrouped variables", "definition": "random(3 .. 19#1)", "description": "<p>The number of students in the class who do speak a language other than English.&nbsp;</p>", "templateType": "randrange", "can_override": false}, "class_size": {"name": "class_size", "group": "Ungrouped variables", "definition": "random(20,25)", "description": "<p>There are either 20 or 25 students in the class, to enable the conversion to a percentage to be done without a calculator, and without the need for rounding.</p>", "templateType": "anything", "can_override": false}, "fraction": {"name": "fraction", "group": "Ungrouped variables", "definition": "{num_students}/{class_size}", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["num_students", "class_size", "fraction"], "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": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>Thirteen of the $25$ students in Darwa's tutorial class speak a language other than English at home. <br/>What percentage of his students speak English at home?&nbsp;</p>\n<p>[[0]] $\\%$</p>", "gaps": [{"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, "minValue": "48", "maxValue": "48", "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"}, {"name": "Find the percentage increase", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}, {"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}], "tags": [], "metadata": {"description": "<p>Find amount of increase, compare it to original value (increase 'out of' original), then write the proportion as a percentage</p>", "licence": "None specified"}, "statement": "", "advice": "<p>Compare the <em>amount of increase</em> in blood volume to the <em>original</em> blood volume.</p>\n<p>First write this comparison as a fraction:</p>\n<p>$\\dfrac{\\textrm{amount of increase}}{\\textrm{original blood volume}}$</p>\n<p>then covert the fraction to a percentage.</p>\n<p><strong>For example</strong></p>\n<p>If exercise training increases blood volume from ${2}$ to ${3}$ litres, the amount of increase is ${3}-{2}$ which is $1$ litre.</p>\n<p>Now compare the increase (1L) to the original blood volume (2L):</p>\n<p>$\\dfrac{\\textrm{amount of increase}}{\\textrm{original blood volume}}=\\frac{1}{2}$</p>\n<p>This means the amount of increase is <em>half</em> the original volume.</p>\n<p>Lastly, convert the fraction to percentage form.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(4,5)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(5,6,7)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "a<b", "maxRuns": 100}, "ungrouped_variables": ["a", "b"], "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>If exercise training increases blood volume from $\\var{a}$ to $\\var{b}$ litres, by what percentage does blood volume increase?</p>\n<p>[[0]]%</p>", "gaps": [{"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, "minValue": "100*(b-a)/a", "maxValue": "100*(b-a)/a", "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"}]}], "allowPrinting": true, "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": false, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "warn", "message": ""}, "timedwarning": {"action": "warn", "message": "<p>You have 5 minutes left.</p>"}}, "feedback": {"showactualmark": false, "showtotalmark": true, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "<p>These question are designed to be completed without using a calculator.</p>\n<p>You may use pen and paper.&nbsp;Do <em>not</em> use your calculator.</p>", "end_message": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": false, "feedbackmessages": [{"message": "<p>Well done. Now try the fast-track quiz to fully assess your skills in this topics.</p>", "threshold": "100"}, {"message": "<p>Your score for this preview exercise is less than 100%. The table shows the sub-topics that the questions you didn't get correct came from:</p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #68a19e; vertical-align: top; width: 137.729px;\">If you&nbsp;did not get <br />full marks&nbsp;in:</td>\n<td style=\"background-color: #68a19e; width: 15.7083px;\"></td>\n<td style=\"background-color: #bebf86; vertical-align: top; width: 158.229px;\">Review this subtopic</td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\">Question 1 to 5</td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\">Sub-topic [2.1]</td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\">Question 6-8</td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\">Sub-topic [2.2]</td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\">Question 9-12</td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\">Sub-topic [2.3]</td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\"></td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\"></td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\"></td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\"></td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\"></td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right; width: 137.729px;\"></td>\n<td style=\"text-align: center; width: 15.7083px;\"></td>\n<td style=\"width: 158.229px;\"></td>\n</tr>\n</tbody>\n</table>\n<p></p>", "threshold": 0}]}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "contributors": [{"name": "Susan McGlynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2148/"}], "extensions": [], "custom_part_types": [], "resources": [["question-resources/14_out_of_20.jpg", "/srv/numbas/media/question-resources/14_out_of_20.jpg"]]}