// Numbas version: finer_feedback_settings
{"name": "Q7 Calculating Gross wage given tax information 3", "extensions": [], "custom_part_types": [], "resources": [["question-resources/incometaxpreparer.jpg", "/srv/numbas/media/question-resources/incometaxpreparer.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["name", "cut", "tax", "credit", "standard", "higher", "ans1", "ans3", "ans2", "m"], "name": "Q7 Calculating Gross wage given tax information 3", "tags": ["rebelmaths"], "advice": "<p>Part1:</p>\n<p><strong>$\\var{tax} + \\var{credit} = &euro;\\var{ans1}$</strong></p>\n<p><strong></strong></p>\n<p>Part 2:</p>\n<p><strong>$&euro;\\var{28000} \\times \\frac{100}{\\var{standard}} = &euro;\\var{ans2}$</strong></p>\n<p><strong></strong></p>\n<p>Part 3:</p>\n<p>Calculate the gross income by;&nbsp;<strong></strong></p>\n<p><strong>$(((\\var{tax}+\\var{credit})-(\\var{cut} \\times \\frac{\\var{standard}}{100})) \\times \\frac{100}{\\var{higher}})+\\var{cut} = &euro;\\var{ans3}$</strong></p>\n<p><strong>&nbsp;</strong></p>\n<p><strong></strong></p>\n<p><strong>&nbsp;</strong></p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Her&nbsp;gross income tax for the year.</p>\n<p>&euro;[[0]]</p>\n<p></p>\n<p></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}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>Calculate his gross tax as before.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Calculate how much income tax she paid at the standard rate.</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": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>She paid income tax at the standard rate on all money earned up to the standard rate cut off point.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Calculate&nbsp;her gross income for the year:</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": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>We know how much her gross tax was. In part b we calculated how much of that came from her standard rate earnings. How much of her tax bill came from the higher rate earnings? So how much did she earn at the higher rate?</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "extensions": [], "statement": "<p><img width=\"498\" height=\"316\" src=\"resources/question-resources/incometaxpreparer.jpg\"/></p>\n<p>$\\var{name}$ paid &euro;$\\var{tax}$ in income tax for the year and her&nbsp;tax credits amount to &euro;$\\var{credit}$. Her standard cut-off point was $&euro;\\var{cut}$.&nbsp;The standard rate of income tax is $\\var{standard}$% and the higher rate is $\\var{higher}$%.</p>\n<p><em>Solve the following&nbsp;to the nearest cent!!</em></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"cut": {"definition": "random(25000..33000#500)", "templateType": "anything", "group": "Ungrouped variables", "name": "cut", "description": ""}, "name": {"definition": "random('Susan','Rose','Lisa','Karen','Kate','Vicky')", "templateType": "anything", "group": "Ungrouped variables", "name": "name", "description": ""}, "ans1": {"definition": "{tax}+{credit}", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "{cut}*({standard}/100)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "((({tax}+{credit})-({cut}*({standard}/100)))*(100/{higher}))+{cut}", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "tax": {"definition": "(m*higher) + ((standard*cut)/100) - credit", "templateType": "anything", "group": "Ungrouped variables", "name": "tax", "description": ""}, "m": {"definition": "random(101..199 except [120,140,150,160])", "templateType": "anything", "group": "Ungrouped variables", "name": "m", "description": ""}, "standard": {"definition": "random(20..22#0.5)", "templateType": "anything", "group": "Ungrouped variables", "name": "standard", "description": ""}, "credit": {"definition": "random(2500..3500#100)", "templateType": "anything", "group": "Ungrouped variables", "name": "credit", "description": ""}, "higher": {"definition": "random(40..43)", "templateType": "anything", "group": "Ungrouped variables", "name": "higher", "description": ""}}, "metadata": {"description": "<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}