// Numbas version: finer_feedback_settings
{"name": "Q1 Calculating weekly Net Tax", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["name", "wage", "cut", "credit", "standard", "higher", "ans"], "name": "Q1 Calculating weekly Net Tax", "tags": ["rebelmaths"], "advice": "<p>{standard}% =&gt; $\\frac{\\var{standard}}{100}$</p>\n<p>{higher}% =&gt; $\\frac{\\var{higher}}{100}$</p>\n<p></p>\n<p><em>Calculate the gross income tax for the week first as follows:</em></p>\n<p>Calculate the standard cut-off point amount first by $\\frac{\\var{standard}}{100} \\times \\var{cut}$</p>\n<p>Then, the income tax at the&nbsp;higher rate by $\\frac{\\var{higher}}{100} \\times (\\var{wage} - \\var{cut})$</p>\n<p>Finally, add them to get the gross income tax</p>\n<p>$(\\frac{\\var{standard}}{100} \\times \\var{cut}) + (\\frac{\\var{higher}}{100} \\times (\\var{wage} - \\var{cut}))$</p>\n<p><em>&nbsp;</em></p>\n<p><em>Using the gross income tax calculated in above</em></p>\n<p>Subtract the tax credit, $\\var{credit}$, giving the amount of income tax paid.</p>\n<p>$(\\frac{\\var{standard}}{100} \\times \\var{cut}) + (\\frac{\\var{higher}}{100} \\times (\\var{wage} - \\var{cut})) - \\var{credit} = \\var{ans}$</p>\n<p></p>\n<p>Look at this website for worked examples:</p>\n<p><a href=\"http://www.revenue.ie/en/personal/faqs/how-do-i-work-out-my-tax.html\">how to work out my tax</a></p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Calculate the amount of income tax he pays each week.</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": "{ans}", "minValue": "{ans}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>$\\var{name}$ pays tax at $\\var{standard}$% on the first&nbsp;$\\var{cut}$ of his money, so you need to find&nbsp;$\\var{standard}$% of&nbsp;$\\var{cut}$.</p>\n<p>He pays tax at&nbsp;$\\var{higher}$% on everything above&nbsp;$\\var{cut}$, so you need to find out how much he earns above the cut off&nbsp;$\\var{cut}$ and get&nbsp;$\\var{higher}$% of that.</p>\n<p>Add the two tax bills together to find the gross tax that&nbsp;$\\var{name}$ owes.</p>\n<p>Subtract his tax credits from this.</p>\n<p>The result is the net tax that he has to pay.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "extensions": [], "statement": "<p>$\\var{name}$ has a weekly wage of &euro;$\\var{wage}$. His standard cut-off point is &euro;$\\var{cut}$, and his tax credit is &euro;$\\var{credit}$ per week. The standard rate of income tax is $\\var{standard}$% and the higher rate is $\\var{higher}$%.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"wage": {"definition": "random(750..950#10)", "templateType": "anything", "group": "Ungrouped variables", "name": "wage", "description": ""}, "cut": {"definition": "random(520..680#5)", "templateType": "anything", "group": "Ungrouped variables", "name": "cut", "description": ""}, "name": {"definition": "random('David','John','Paul','Noel','Steve')", "templateType": "anything", "group": "Ungrouped variables", "name": "name", "description": ""}, "standard": {"definition": "random(20..23)", "templateType": "anything", "group": "Ungrouped variables", "name": "standard", "description": ""}, "credit": {"definition": "random(40..75)", "templateType": "anything", "group": "Ungrouped variables", "name": "credit", "description": ""}, "ans": {"definition": "((({standard}/100)*{cut})+(({higher}/100)*({wage}-{cut})))-{credit}", "templateType": "anything", "group": "Ungrouped variables", "name": "ans", "description": ""}, "higher": {"definition": "random(40..43)", "templateType": "anything", "group": "Ungrouped variables", "name": "higher", "description": ""}}, "metadata": {"description": "<p>Net Tax</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": []}], "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/"}]}