// Numbas version: exam_results_page_options
{"name": "Conversions - Decimals and Percentages", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z", "aa", "bb", "cc", "dd", "ee", "ff", "gg", "hh", "ii", "jj", "kk", "ll"], "name": "Conversions - Decimals and Percentages", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Decimals and percentages are two ways of expressing same thing. To convert decimals to percentages or vice versa, just move the decimal 2 places to the right or left/multiply or divide by 100.</p>\n<h3>Example: Convert 0.35 to a percentage</h3>\n<p>Move the decimal point two places to the right: 0.35 $\\rightarrow$ 3.5 $\\rightarrow$ 35.</p>\n<p>Add a % sign: 35%</p>\n<p>Answer <b>0.35 = 35%</b></p>\n<p><b>For more help, check this video:&nbsp;</b></p>\n<p><b></b></p>\n<p><b></b><iframe width=\"500\" height=\"375\" src=\"//www.youtube.com/embed/s_DA3qW9pjc\"></iframe></p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "displayColumns": "0", "prompt": "<p>Convert&nbsp;$\\var{a}$% to a decimal :</p>", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "shuffleChoices": true, "maxMarks": "1", "variableReplacements": [], "choices": ["<p>$\\var{b}$</p>", "<p>$\\var{c}$</p>", "<p>$\\var{d}$</p>", "<p>$\\var{f}$</p>", "<p>$\\var{g}$</p>", "<p>$\\var{h}$</p>", "<p>$\\var{j}$</p>", "<p>$\\var{k}$</p>"], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>To convert from a percentage to a decimal, divide by 100 or&nbsp;move the decimal point 2 places to the left.</p>\n<h3>Example: Convert 8.5% to a decimal</h3>\n<p>Move the decimal point two places to the left: 8.5 $\\rightarrow$ &nbsp;0.85 $\\rightarrow$ 0.085</p>\n<p>Answer <b>8.5% = 0.085</b></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", "displayType": "radiogroup", "minMarks": "0"}, {"stepsPenalty": 0, "displayColumns": 0, "prompt": "<p>Convert&nbsp;&nbsp;$\\var{l}$% to a decimal :</p>", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "shuffleChoices": true, "maxMarks": "1", "variableReplacements": [], "choices": ["<p>$\\var{m}$</p>", "<p>$\\var{n}$</p>", "<p>$\\var{o}$</p>", "<p>$\\var{p}$</p>", "<p>$\\var{q}$</p>", "<p>$\\var{r}$</p>", "<p>$\\var{s}$</p>", "<p>$\\var{t}$</p>"], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>To convert from percentage to a decimal, divide by 100 or&nbsp;move the decimal point 2 places to the left.</p>\n<p></p>\n<h3>Example: Convert 8.5% to a decimal</h3>\n<p>Move the decimal point two places to the left: 8.5 $\\rightarrow$ 0.85 $\\rightarrow$ 0.085</p>\n<p>Answer <b>8.5% = 0.085</b></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", "displayType": "radiogroup", "minMarks": "0"}, {"stepsPenalty": 0, "displayColumns": 0, "prompt": "<p>Convert $\\var{u}$ to a percentage :</p>", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "shuffleChoices": true, "maxMarks": "1", "variableReplacements": [], "choices": ["<p>$\\var{v}$ %</p>", "<p>$\\var{w}$ %</p>", "<p>$\\var{x}$ %</p>", "<p>$\\var{y}$ %</p>", "<p>$\\var{z}$ %</p>", "<p>$\\var{aa}$ %</p>", "<p>$\\var{bb}$ %</p>", "<p>$\\var{cc}$ %</p>"], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>To convert from a decimal to a percentage, multiply the decimal by 100 or&nbsp;move the decimal point 2 places to the right</p>\n<h3>Example: Convert 0.68 to a percentage</h3>\n<p>Move the decimal point two places to the right: 0.68 $\\rightarrow$&nbsp;6.8 $\\rightarrow$ 68.</p>\n<p>Answer <b>0.68 = 68%</b></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", "displayType": "radiogroup", "minMarks": "0"}, {"stepsPenalty": 0, "displayColumns": 0, "prompt": "<p>Convert $\\var{dd}$ to a percentage :</p>", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "shuffleChoices": true, "maxMarks": "1", "variableReplacements": [], "choices": ["<p>$\\var{ee}$ %</p>", "<p>$\\var{ff}$ %</p>", "<p>$\\var{gg}$ %</p>", "<p>$\\var{hh}$ %</p>", "<p>$\\var{ii}$ %</p>", "<p>$\\var{jj}$ %</p>", "<p>$\\var{kk}$ %</p>", "<p>$\\var{ll}$ %</p>"], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>To convert from a decimal to a percentage, multiply the decimal by 100 or&nbsp;move the decimal point 2 places to the right.</p>\n<h3>Example: Convert 0.68 to a percentage</h3>\n<p>Move the decimal point two places to the right: 0.68 $\\rightarrow$ 6.8 $\\rightarrow$ 68.</p>\n<p>Answer <b>0.68 = 68%</b></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "distractors": ["", "", "", "", "", "", "", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", "displayType": "radiogroup", "minMarks": "0"}], "extensions": [], "statement": "<p>Convert the given decimals to percentages and vice versa.</p>\n<p>For further help, please check this video:&nbsp;<a href=\"https://www.youtube.com/watch?v=s_DA3qW9pjc\">https://www.youtube.com/watch?v=s_DA3qW9pjc</a>.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"aa": {"definition": "u*2", "templateType": "anything", "group": "Ungrouped variables", "name": "aa", "description": ""}, "jj": {"definition": "dd*2", "templateType": "anything", "group": "Ungrouped variables", "name": "jj", "description": ""}, "cc": {"definition": "u*20", "templateType": "anything", "group": "Ungrouped variables", "name": "cc", "description": ""}, "ii": {"definition": "dd/10", "templateType": "anything", "group": "Ungrouped variables", "name": "ii", "description": ""}, "ll": {"definition": "dd*20", "templateType": "anything", "group": "Ungrouped variables", "name": "ll", "description": ""}, "ee": {"definition": "dd*100", "templateType": "anything", "group": "Ungrouped variables", "name": "ee", "description": ""}, "bb": {"definition": "u*200", "templateType": "anything", "group": "Ungrouped variables", "name": "bb", "description": ""}, "dd": {"definition": "random(0..1#0.001)", "templateType": "anything", "group": "Ungrouped variables", "name": "dd", "description": ""}, "hh": {"definition": "dd*1000\n", "templateType": "anything", "group": "Ungrouped variables", "name": "hh", "description": ""}, "ff": {"definition": "dd*10", "templateType": "anything", "group": "Ungrouped variables", "name": "ff", "description": ""}, "a": {"definition": "random(1..100) //random percentage between 1 and 100", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "gg": {"definition": "dd/100", "templateType": "anything", "group": "Ungrouped variables", "name": "gg", "description": ""}, "c": {"definition": "a/10", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "a/100", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "a*100", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "a*10", "templateType": "anything", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "a/1000", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "description": ""}, "kk": {"definition": "dd*200", "templateType": "anything", "group": "Ungrouped variables", "name": "kk", "description": ""}, "h": {"definition": "a/2", "templateType": "anything", "group": "Ungrouped variables", "name": "h", "description": ""}, "k": {"definition": "a/20", "templateType": "anything", "group": "Ungrouped variables", "name": "k", "description": ""}, "j": {"definition": "a/200", "templateType": "anything", "group": "Ungrouped variables", "name": "j", "description": ""}, "m": {"definition": "l/100", "templateType": "anything", "group": "Ungrouped variables", "name": "m", "description": ""}, "l": {"definition": "random(1..100#0.1) //random decimal percentage", "templateType": "anything", "group": "Ungrouped variables", "name": "l", "description": ""}, "o": {"definition": "l*100", "templateType": "anything", "group": "Ungrouped variables", "name": "o", "description": ""}, "n": {"definition": "l/10", "templateType": "anything", "group": "Ungrouped variables", "name": "n", "description": ""}, "q": {"definition": "l*10", "templateType": "anything", "group": "Ungrouped variables", "name": "q", "description": ""}, "p": {"definition": "l/1000", "templateType": "anything", "group": "Ungrouped variables", "name": "p", "description": ""}, "s": {"definition": "l/200", "templateType": "anything", "group": "Ungrouped variables", "name": "s", "description": ""}, "r": {"definition": "l/2", "templateType": "anything", "group": "Ungrouped variables", "name": "r", "description": ""}, "u": {"definition": "random(0..1#0.01) //random decimal to become a percentage", "templateType": "anything", "group": "Ungrouped variables", "name": "u", "description": ""}, "t": {"definition": "l/20", "templateType": "anything", "group": "Ungrouped variables", "name": "t", "description": ""}, "w": {"definition": "u*10", "templateType": "anything", "group": "Ungrouped variables", "name": "w", "description": ""}, "v": {"definition": "u*100", "templateType": "anything", "group": "Ungrouped variables", "name": "v", "description": ""}, "y": {"definition": "u*1000", "templateType": "anything", "group": "Ungrouped variables", "name": "y", "description": ""}, "x": {"definition": "u/100", "templateType": "anything", "group": "Ungrouped variables", "name": "x", "description": ""}, "z": {"definition": "u/10", "templateType": "anything", "group": "Ungrouped variables", "name": "z", "description": ""}}, "metadata": {"description": "<p>These short questions concentrate on conversion between decimals and percentages.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Nasir Firoz Khan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/909/"}]}]}], "contributors": [{"name": "Nasir Firoz Khan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/909/"}]}