// Numbas version: exam_results_page_options
{"name": "Conversions & Scientific Notation", "metadata": {"description": "<p>Converting units, scientific notation, currency conversions&nbsp;</p>\n<p>rebel</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", ""], "questions": [{"name": "Q1 Convert from one measurement scale to another", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}], "functions": {}, "ungrouped_variables": ["num", "ans1", "ans2", "ans3", "ans4", "ans5", "num1", "ans21", "ans22", "ans23", "ans24", "ans25"], "tags": ["rebelmaths"], "advice": "<p>Part 1</p>\n<p>i) $\\var{num[0]} \\times 10000 = \\var{ans1}$</p>\n<p>ii) $\\var{num[1]} \\times 1000000&nbsp;= \\var{ans2}$</p>\n<p>iii) $\\var{num[2]} \\times 1000&nbsp;= \\var{ans3}$</p>\n<p>iv) $\\var{num[3]} \\times 100 = \\var{ans4}$</p>\n<p>v) $\\var{num[4]} \\times 1000000= \\var{ans5}$</p>\n<p>Part 2</p>\n<p>i) $\\var{num1[0]} \\times 10000 = \\var{ans21}$</p>\n<p>ii) $\\var{num1[1]} \\times 1000000 = \\var{ans22}$</p>\n<p>iii) $\\var{num1[2]} \\times 1000000000 = \\var{ans23}$</p>\n<p>iv) $\\var{num1[3]} \\times 100 = \\var{ans24}$</p>\n<p>v) $\\var{num1[4]} \\times&nbsp;1000000 = \\var{ans25}$</p>\n<p></p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p>i) $\\var{num[0]}$ square metres ($m^2$) to square centimetres&nbsp;($cm^2$).&nbsp;</p>\n<p>[[0]]$cm^2$</p>\n<p>ii) $\\var{num[1]}m^2$ to square millimetres($mm^2$).&nbsp;</p>\n<p>[[1]]$mm^2$</p>\n<p>iii) $\\var{num[2]}cm^3$ to $mm^3$.&nbsp;</p>\n<p>[[2]]$mm^3$</p>\n<p>iv) $\\var{num[3]}cm^2$ to $mm^2$.&nbsp;</p>\n<p>[[3]]$mm^2$</p>\n<p>v) $\\var{num[4]}$ cubic&nbsp;metres ($m^3$) to cubic&nbsp;centimetres&nbsp;($cm^3$).&nbsp;</p>\n<p>[[4]]$cm^3$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans4}", "minValue": "{ans4}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans5}", "minValue": "{ans5}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>i) $\\var{num1[0]}$ square metres ($m^2$) to square centimetres&nbsp;($cm^2$).&nbsp;</p>\n<p>[[0]]$cm^2$</p>\n<p>ii) $\\var{num1[1]}m^2$ to square millimetres($mm^2$).&nbsp;</p>\n<p>[[1]]$mm^2$</p>\n<p>iii) $\\var{num1[2]}m^3$ to $mm^3$.&nbsp;</p>\n<p>[[2]]$mm^3$</p>\n<p>iv) $\\var{num1[3]}cm^2$ to $mm^2$.&nbsp;</p>\n<p>[[3]]$mm^2$</p>\n<p>v) $\\var{num1[4]}$ cubic&nbsp;metres ($m^3$) to cubic&nbsp;centimetres&nbsp;($cm^3$).&nbsp;</p>\n<p>[[4]]$cm^3$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans21}", "minValue": "{ans21}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans22}", "minValue": "{ans22}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans23}", "minValue": "{ans23}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans24}", "minValue": "{ans24}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans25}", "minValue": "{ans25}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Convert the following.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"num1": {"definition": "shuffle(2..26#0.25)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "ans1": {"definition": "num[0]*10000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "num[1]*1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "num[2]*1000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "ans4": {"definition": " num[3]*100", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "ans5": {"definition": "num[4]*1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans5", "description": ""}, "num": {"definition": "shuffle(2..60)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "num", "description": ""}, "ans25": {"definition": "num1[4]*1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans25", "description": ""}, "ans24": {"definition": "num1[3]*100", "templateType": "anything", "group": "Ungrouped variables", "name": "ans24", "description": ""}, "ans23": {"definition": "num1[2]*1000000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans23", "description": ""}, "ans22": {"definition": "num1[1]*1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans22", "description": ""}, "ans21": {"definition": "num1[0]*10000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans21", "description": ""}}, "metadata": {"description": "<p>Convert from one measurement scale to another</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Q2 Convert from one measurement scale to another", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}], "functions": {}, "ungrouped_variables": ["num", "ans1", "ans2", "ans3", "ans4", "ans5", "ans6", "num2", "ans31", "ans32", "ans33", "ans34", "ans35"], "tags": ["rebelmaths"], "preamble": {"css": "", "js": ""}, "advice": "<p>Part 1</p>\n<p>i) $\\frac{\\var{num2[0]}}{100} = \\var{ans31}$</p>\n<p>ii) $\\frac{\\var{num2[1]}}{1000} =&nbsp;\\var{ans32}$</p>\n<p>iii) $\\frac{\\var{num2[2]}}{10000} =&nbsp;\\var{ans33}$</p>\n<p>iv) $\\frac{\\var{num2[3]}}{1000000}&nbsp;= \\var{ans34}$</p>\n<p>v) $\\frac{\\var{num2[4]}}{1000000000}&nbsp;= &nbsp;\\var{ans35}$</p>\n<p>Part 2</p>\n<p>i) $\\var{num[0]} \\times 1000 = \\var{ans1}$</p>\n<p>ii) $\\frac{\\var{num[1]}}{1000000} = \\var{ans2}$</p>\n<p>iii) $\\frac{\\var{num[2]}}{1000} = \\var{ans3}$</p>\n<p>iv) $\\var{num[3]} \\times 1000 = \\var{ans4}$</p>\n<p>v) $\\frac{\\var{num[4]}}{1000} = \\var{ans5}$</p>\n<p>vi) $\\frac{\\var{num[5]}}{1000000} = \\var{ans6}$</p>", "rulesets": {}, "parts": [{"prompt": "<p>i) $\\var{num2[0]}$ $mm^2$ to $m^2$.&nbsp;</p>\n<p>[[0]]&nbsp;$m^2$</p>\n<p>ii) $\\var{num2[1]}$ $mm^3$ to $cm^3$.&nbsp;</p>\n<p>[[1]]&nbsp;$cm^3$</p>\n<p>iii) $\\var{num2[2]}$ $cm^2$ to $m^2$.&nbsp;</p>\n<p>[[2]]&nbsp;$m^2$</p>\n<p>iv) $\\var{num2[3]}$ $cm^3$ to $m^3$.&nbsp;</p>\n<p>[[3]]&nbsp;$m^3$</p>\n<p>v) $\\var{num2[4]}$ $mm^3$ to $m^3$.</p>\n<p>[[4]]&nbsp;$m^3$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans31}", "strictPrecision": false, "minValue": "{ans31}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "7", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans32}", "strictPrecision": false, "minValue": "{ans32}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans33}", "strictPrecision": false, "minValue": "{ans33}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "4", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans34}", "strictPrecision": false, "minValue": "{ans34}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "6", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans35}", "strictPrecision": false, "minValue": "{ans35}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "10", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>i) $\\var{num[0]}$ square metres ($m^3$) to litres.&nbsp;</p>\n<p>[[0]]&nbsp;litres</p>\n<p>ii) $\\var{num[1]}$ $mm^3$ to litres.&nbsp;</p>\n<p>[[1]]&nbsp;litres</p>\n<p>iii) $\\var{num[2]}$ $cm^3$ to litres.&nbsp;</p>\n<p>[[2]]&nbsp;litres</p>\n<p>iv) $\\var{num[3]}$ $litres$ to $cm^3$.&nbsp;</p>\n<p>[[3]]&nbsp;$cm^3$</p>\n<p>v) $\\var{num[4]}$ $litres$ to $m^3$.&nbsp;</p>\n<p>[[4]]&nbsp;$m^3$</p>\n<p>vi)&nbsp;$\\var{num[5]}$ $litres$ to $mm^3$.&nbsp;</p>\n<p>[[5]]&nbsp;$mm^3$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}", "strictPrecision": false, "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "4", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans3}", "strictPrecision": false, "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans4}", "minValue": "{ans4}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans5}", "strictPrecision": false, "minValue": "{ans5}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans6}", "minValue": "{ans6}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Convert the following.</p>\n<p>Do not answer in&nbsp;scientific notation.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"num2": {"definition": "shuffle(600..2200#5)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "ans1": {"definition": "num[0]*1000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "num[1]/1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "num[2]/1000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "ans4": {"definition": " num[3]*1000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "ans5": {"definition": "num[4]/1000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans5", "description": ""}, "ans6": {"definition": "num[5]*1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans6", "description": ""}, "num": {"definition": "shuffle(2000..60000#100)[0..6]", "templateType": "anything", "group": "Ungrouped variables", "name": "num", "description": ""}, "ans31": {"definition": "num2[0]/1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans31", "description": ""}, "ans32": {"definition": "num2[1]/1000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans32", "description": ""}, "ans33": {"definition": "num2[2]/10000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans33", "description": ""}, "ans34": {"definition": "num2[3]/1000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans34", "description": ""}, "ans35": {"definition": "num2[4]/1000000000", "templateType": "anything", "group": "Ungrouped variables", "name": "ans35", "description": ""}}, "metadata": {"description": "<p>Convert from one measurement scale to another</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Q3 Convert Currency", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}], "functions": {}, "ungrouped_variables": ["numberone", "numbertwo", "numberthree", "numberfour", "ans1", "ans3", "ans2", "ans4", "exchange", "commision", "ansone", "ansthree", "anstwo", "ansfour"], "tags": ["rebelmaths"], "advice": "<p><em>To calculate how many Dollars you get from $&euro;\\var{numberone}:$</em></p>\n<p>$\\frac{&euro;\\var{numberone}}{&euro;\\var{exchange}} * \\$1&nbsp;= \\$\\var{ans1}$&nbsp; <em>(Total amount without commision removed)</em></p>\n<p>$\\$\\var{ansone}$ (Final amount after commision removed)&nbsp;=&nbsp;$\\$\\var{ans1} - ((\\frac{\\var{commision}}{100}) * \\$\\var{ans1})$</p>\n<p><em></em></p>\n<p><em>To calculate how many Euro you get from $\\$\\var{numbertwo}:$</em></p>\n<p>$\\frac{\\$\\var{numbertwo}}{\\$1} * &euro;\\var{exchange}&nbsp;&nbsp;= &euro;\\var{ans2}$ <em>(Total amount without commision removed)</em></p>\n<p>$&euro;\\var{anstwo}$ (Final amount after commision removed) =$&nbsp;&euro;\\var{ans2} - ((\\frac{\\var{commision}}{100}) * &euro;\\var{ans2})$</p>", "rulesets": {}, "parts": [{"prompt": "<p>How many Dollars&nbsp;will I get for&nbsp;&euro;$\\var{numberone}$?</p>\n<p>\\$[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ansone}", "minValue": "{ansone}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>How many Euros will I get for&nbsp;\\$$\\var{numbertwo}$?</p>\n<p>&euro;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{anstwo}", "minValue": "{anstwo}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>How many Dollars&nbsp;will I get for&nbsp;&euro;$\\var{numberthree}$?</p>\n<p>\\$[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ansthree}", "minValue": "{ansthree}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>How many Euros will I get for&nbsp;\\$$\\var{numberfour}$?</p>\n<p>&euro;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ansfour}", "minValue": "{ansfour}", "variableReplacementStrategy": "originalfirst", "strictPrecision": true, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>If the exchange rate between the Euro and the Dollar is $\\$1 = &euro;\\var{exchange}$ and the Bank charges $\\var{commision}$% commision.</p>\n<p><em>(Round to the nearest cent)</em></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"numberone": {"definition": "random(600..800)", "templateType": "anything", "group": "Ungrouped variables", "name": "numberone", "description": ""}, "commision": {"definition": "random(2.2..2.29#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "commision", "description": ""}, "ansthree": {"definition": "{ans3} - ({ans3}*(commision)/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "ansthree", "description": ""}, "ansone": {"definition": "{ans1} - ({ans1}*(commision)/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "ansone", "description": ""}, "exchange": {"definition": "random(0.61..0.91#0.02)", "templateType": "anything", "group": "Ungrouped variables", "name": "exchange", "description": ""}, "ans1": {"definition": "({numberone}/{exchange})", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "({numbertwo)*{exchange}", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "({numberthree}/{exchange})", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "ans4": {"definition": "({numberfour)*{exchange}", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "numberthree": {"definition": "random(150..300 except {numberone} {numbertwo})", "templateType": "anything", "group": "Ungrouped variables", "name": "numberthree", "description": ""}, "numberfour": {"definition": "random(800..950 except {numberone} {numbertwo} {numberthree})", "templateType": "anything", "group": "Ungrouped variables", "name": "numberfour", "description": ""}, "anstwo": {"definition": "{ans2} - ({ans2}*(commision)/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "anstwo", "description": ""}, "ansfour": {"definition": "{ans4} - ({ans4}*(commision)/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "ansfour", "description": ""}, "numbertwo": {"definition": "random(300..600 except {numberone})", "templateType": "anything", "group": "Ungrouped variables", "name": "numbertwo", "description": ""}}, "metadata": {"description": "<p>Currency Conversion</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Q4 Scientific notation to decimal", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}], "functions": {}, "ungrouped_variables": ["num1", "num2", "num3", "num4", "po", "ans1", "ans2", "ans3", "ans4", "ans5", "po1", "po2", "ans21", "ans22", "num21", "pow", "pow1", "pow2", "pow3", "a1", "a2", "a3", "a4", "a5", "a11", "a12", "a13", "a14", "a15"], "tags": ["rebelmaths"], "preamble": {"css": "", "js": ""}, "advice": "<p>Part 1</p>\n<p>Move the decimal point \"the power number\" of times to the right for positive power and to the left for negative power:</p>\n<p>$\\var{num1} \\times 10^\\var{po[0]} = \\var{ans1}$</p>\n<p>$\\var{num2} \\times 10^\\var{po1} = \\var{ans2}$</p>\n<p>Part 2</p>\n<p>Count the nmber of times the decimal point has to be moved to get only one number to the left of the decimal point, this count becomes the power on&nbsp;the $\\times 10$.</p>\n<p>If the decimal point is moved to the left the power number is positive and if it is moved to the right the power is negative:</p>\n<p>$\\var{a11} = \\var{num21[0]} \\times 10^\\var{pow[0]}$</p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p><strong>Write each of the following as a decimal number:</strong></p>\n<p>i) $\\var{num1} \\times 10^\\var{po[0]}$</p>\n<p>[[0]]</p>\n<p>ii) $\\var{num2} \\times 10^\\var{po1}$</p>\n<p>[[1]]</p>\n<p>iii) $\\var{num3[0]} \\times 10^\\var{po[2]}$</p>\n<p>[[2]]</p>\n<p>iv) $\\var{num4} \\times 10^\\var{po2}$</p>\n<p>[[3]]</p>\n<p>v) $\\var{num3[1]} \\times 10^\\var{po[4]}$</p>\n<p>[[4]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}+0.00001", "minValue": "{ans1}-0.00001", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}+0.00001", "strictPrecision": false, "minValue": "{ans2}-0.00001", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "7", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans3}+0.00001", "strictPrecision": false, "minValue": "{ans3}-0.00001", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{ans4}+0.00001", "minValue": "{ans4}-0.00001", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans5}+0.00001", "strictPrecision": false, "minValue": "{ans5}-0.00001", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p><strong>Write each of the following in Scientific Notation:</strong></p>\n<p>i) $\\var{a1}$&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p>\n<p>[[0]]$\\times$ 10^&nbsp;[[1]]</p>\n<p>ii)&nbsp;$\\var{a2}$&nbsp; &nbsp;</p>\n<p>[[2]]$\\times$ 10^[[3]]</p>\n<p>iii)&nbsp;$\\var{a3}$ &nbsp;&nbsp;</p>\n<p>[[4]]$\\times$ 10^[[5]]</p>\n<p>iv) $\\var{a4}$&nbsp; &nbsp;&nbsp;&nbsp;</p>\n<p>[[6]]$\\times$ 10^[[7]]</p>\n<p>v) $\\var{a5}$&nbsp; &nbsp;&nbsp;</p>\n<p>[[8]]$\\times$ 10^[[9]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[0]}", "strictPrecision": false, "minValue": "{num21[0]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow[0]}", "minValue": "{pow[0]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[1]}", "strictPrecision": false, "minValue": "{num21[1]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow1}", "minValue": "{pow1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[2]}", "strictPrecision": false, "minValue": "{num21[2]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow2}", "minValue": "{pow2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[3]}", "strictPrecision": false, "minValue": "{num21[3]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow3}", "minValue": "{pow3}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{num21[4]}", "strictPrecision": false, "minValue": "{num21[4]}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "3", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}, {"allowFractions": false, "variableReplacements": [], "maxValue": "{pow[4]}", "minValue": "{pow[4]}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Answer&nbsp;the following.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"num4": {"definition": "random(5.25..7.75#0.25 except 6 except 7)", "templateType": "anything", "group": "Ungrouped variables", "name": "num4", "description": ""}, "num1": {"definition": "random(7.1..8.9#0.1 except 8)", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "num2": {"definition": "random(3..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "num3": {"definition": "shuffle(7.001..8.009#0.001)[0..2]", "templateType": "anything", "group": "Ungrouped variables", "name": "num3", "description": ""}, "ans1": {"definition": "num1*10^po[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "num2*10^-po[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "num3[0]*10^po[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "ans4": {"definition": "num4*10^-po[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans4", "description": ""}, "ans5": {"definition": "num3[1]*10^po[4]", "templateType": "anything", "group": "Ungrouped variables", "name": "ans5", "description": ""}, "ans22": {"definition": "2", "templateType": "anything", "group": "Ungrouped variables", "name": "ans22", "description": ""}, "ans21": {"definition": "1", "templateType": "anything", "group": "Ungrouped variables", "name": "ans21", "description": ""}, "pow2": {"definition": "-1*pow[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow2", "description": ""}, "pow3": {"definition": "-1*pow[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow3", "description": ""}, "pow1": {"definition": "-1*pow[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow1", "description": ""}, "num21": {"definition": "shuffle(2.001..8.999#0.001)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "num21", "description": ""}, "pow": {"definition": "shuffle(2..8)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "pow", "description": ""}, "po": {"definition": "shuffle(2..7)[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "po", "description": ""}, "a15": {"definition": "(precround(a5,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a15", "description": ""}, "a14": {"definition": "(precround(a4,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a14", "description": ""}, "a11": {"definition": "(precround(a1,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a11", "description": ""}, "a13": {"definition": "(precround(a3,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a13", "description": ""}, "a12": {"definition": "(precround(a2,10))", "templateType": "anything", "group": "Ungrouped variables", "name": "a12", "description": ""}, "po2": {"definition": "-1*po[3]", "templateType": "anything", "group": "Ungrouped variables", "name": "po2", "description": ""}, "po1": {"definition": "-1*po[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "po1", "description": ""}, "a1": {"definition": "num21[0]*10^pow[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "a3": {"definition": "num21[2]*(10^pow2)", "templateType": "anything", "group": "Ungrouped variables", "name": "a3", "description": ""}, "a2": {"definition": "num21[1]*(10^pow1)", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "a5": {"definition": "num21[4]*10^pow[4]", "templateType": "anything", "group": "Ungrouped variables", "name": "a5", "description": ""}, "a4": {"definition": "num21[3]*10^pow3", "templateType": "anything", "group": "Ungrouped variables", "name": "a4", "description": ""}}, "metadata": {"description": "<p>Scientific Notation</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Q5 Solve Scientific Notation problems", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}], "functions": {}, "ungrouped_variables": ["num1", "num11", "num12", "num13", "num2", "po", "po1", "num3", "ans1", "ans2", "ans3"], "tags": ["rebelmaths"], "advice": "<p>Add the powers first.</p>\n<p>Multiply the numbers above the line and multiply the numbers below the line.</p>\n<p>Then divide the total above the line by the total below the line.</p>\n<p>Move the decimal point until only one number is to the left of it.</p>\n<p>Add or subtract the number of times the decimal was moved, to the number to the power of 10.</p>\n<p>(Add to the power if decimal is moved to the left, and subtract from the power if he decimal is moved to the right)</p>\n<p>e.g.</p>\n<p>$\\frac{3&nbsp;\\times10^4&nbsp;\\times&nbsp;2&nbsp;\\times10^5}{6&nbsp;\\times10^-3\\times&nbsp;4&nbsp;\\times10^7}$</p>\n<p>=&nbsp;$(\\frac{3&nbsp;\\times&nbsp;2 }{6 \\times&nbsp;4} )\\times (\\frac{10^4 \\times 10^5}{10^-3\\times 10^7})$</p>\n<p>=&nbsp;$(\\frac{6 }{24} )\\times (\\frac{10^9}{10^4})$</p>\n<p>=&nbsp;$(0.25)\\times (10^5)$</p>\n<p>=&nbsp;$2.5\\times 10^4$</p>", "rulesets": {}, "parts": [{"prompt": "<p>i) $\\frac{\\var{num1[3]}\\times10^\\var{num11}\\times\\var{num1[4]}\\times10^\\var{num12}}{\\var{num1[5]}\\times10^\\var{num13}}$</p>\n<p>[[0]]</p>\n<p>ii) $\\frac{\\var{num2[0]}\\times10^\\var{num2[1]}\\times\\var{num2[2]}\\times10^\\var{num2[3]}}{\\var{num2[4]}\\times10^\\var{num2[5]}}$</p>\n<p>[[1]]</p>\n<p>iii) $\\frac{\\var{num3[0]}\\times10^\\var{po[1]}\\times\\var{num3[1]}\\times10^\\var{po1}}{\\var{num3[2]}\\times10^\\var{po[2]}\\times\\var{num3[3]}\\times10^\\var{po[3]}}$</p>\n<p>[[2]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans1}+0.000001", "minValue": "{ans1}-0.000001", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans2}+0.000001", "minValue": "{ans2}-0.000001", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans3}+0.000001", "minValue": "{ans3}-0.000001", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Evaluate each of the following without using a calculator:</p>\n<p>Answer in decimal form, and round answers off to 2 decimal places.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"num1": {"definition": "shuffle(2..9)[0..6]", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "num2": {"definition": "shuffle(2..9)[0..6]", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "num3": {"definition": "shuffle(2..5#0.1)[0..4]", "templateType": "anything", "group": "Ungrouped variables", "name": "num3", "description": ""}, "ans1": {"definition": "(num1[3]*10^num11*num1[4]*10^num12)/(num1[5]*10^num13)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "(num2[0]*10^num2[1]*num2[2]*10^num2[3])/(num2[4]*10^num2[5])", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "(num3[0]*10^po[1]*num3[1]*10^po1)/(num3[2]*10^po[2]*num3[3]*10^po[3])", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "po1": {"definition": "-1*po[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "po1", "description": ""}, "num12": {"definition": "-1*num1[1]", "templateType": "anything", "group": "Ungrouped variables", "name": "num12", "description": ""}, "num13": {"definition": "-1*num1[2]", "templateType": "anything", "group": "Ungrouped variables", "name": "num13", "description": ""}, "num11": {"definition": "-1*num1[0]", "templateType": "anything", "group": "Ungrouped variables", "name": "num11", "description": ""}, "po": {"definition": "shuffle(2..9)[0..4]", "templateType": "anything", "group": "Ungrouped variables", "name": "po", "description": ""}}, "metadata": {"description": "<p>Scientific Notation</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "Q6 Convert miles to kilometres and vise versa", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}], "functions": {}, "ungrouped_variables": ["numberone", "numbertwo", "numberthree", "numberfour", "ansone", "ansthree", "anstwo", "ansfour"], "tags": ["rebelmaths"], "advice": "<p><em>To convert from miles to kilometres:</em></p>\n<p><em></em>Divide the number of miles by 5 and multiply by 8</p>\n<p><em>To convert from kilometres to miles:</em></p>\n<p><em></em>Divide the number of kilometres by&nbsp;8 and multiply by 5</p>", "rulesets": {}, "parts": [{"prompt": "<p>Convert $\\var{numberone}$ miles to kilometres.</p>\n<p>[[0]]km</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ansone}", "minValue": "{ansone}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Convert $\\var{numbertwo}$ kilometres to miles.</p>\n<p>[[0]]miles</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{anstwo}", "minValue": "{anstwo}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Convert $\\var{numberthree}$ miles to kilometres.</p>\n<p>[[0]]km</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ansthree}", "minValue": "{ansthree}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Convert $\\var{numberfour}$ kilometres to miles.</p>\n<p>[[0]]miles</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ansfour}", "minValue": "{ansfour}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Given that 5 miles is equal to 8 kilometres:</p>\n<p><em>(Round to 2 decimal places)</em></p>", "variable_groups": [], "variablesTest": 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