// Numbas version: exam_results_page_options
{"name": "Simple and Compound Interest", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["years", "rate", "amount", "simpans", "compans", "year1", "simp1yr"], "name": "Simple and Compound Interest", "tags": [], "advice": "<p>Remember to calculate the interest as a percentage of the original amount.</p>\n<p>In simple interest, this then gets multiplied by the numbers of years, and added to the original amount.</p>\n<p>In compound interest, you have to add and&nbsp;recalculate the interest each year.</p>", "rulesets": {}, "parts": [{"prompt": "<p>Jon has a savings account containing &pound;$\\var{amount}$. The account has a simple interest rate of $\\var{rate}$% annually.</p>\n<p>Calculate how much Jon has in the savings account after 1 year.</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "{simp1yr+0.5}", "minValue": "{simp1yr-0.5}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"prompt": "<p>Jon has a savings account containing &pound;$\\var{amount}$. The account has a simple interest rate of $\\var{rate}$% annually.</p>\n<p>Calculate how much Jon has in the savings account after $\\var{years}$ years.</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "{simpans+0.5}", "minValue": "{simpans-0.5}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"prompt": "<p>Jon has a savings account containing &pound;$\\var{amount}$. The account has a compound&nbsp;interest rate of $\\var{rate}$% annually.</p>\n<p></p>\n<p>Calculate how much Jon has in the savings account after 1 year.</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "{simp1yr+0.5}", "minValue": "{simp1yr-0.5}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"prompt": "<p>Jon has a savings account containing &pound;$\\var{amount}$. The account has a compound&nbsp;interest rate of $\\var{rate}$% annually.</p>\n<p>Calculate how much Jon has in the savings account after $\\var{years}$ years.</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "{compans+0.5}", "minValue": "{compans-0.5}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "extensions": [], "statement": "<p>Answer the following questions about simple and compound interest.&nbsp;Your answer will be in monetary form - you don't need to enter the &pound; sign, but remember money form always has two decimal places, e.g., 599.48 or 399.00. Make sure you input your answers in this format.</p>\n<p>If you need revision on how to round to a given number of decimals places, check out the decimals lesson again.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"compans": {"definition": "precround(({amount}*((1+({rate}/100))^{years})),2)", "templateType": "anything", "group": "Ungrouped variables", "name": "compans", "description": ""}, "simpans": {"definition": "precround(((({amount}/100)*{rate})*{years})+{amount},2)", "templateType": "anything", "group": "Ungrouped variables", "name": "simpans", "description": ""}, "simp1yr": {"definition": "precround(((({amount}/100)*{rate}))+{amount},2)", "templateType": "anything", "group": "Ungrouped variables", "name": "simp1yr", "description": ""}, "rate": {"definition": "random(0.5,1,1.5,2,2.5,3,3.5,4,4.5,5,5.5,6,6.5,7,7.5,8)", "templateType": "anything", "group": "Ungrouped variables", "name": "rate", "description": ""}, "year1": {"definition": "1", "templateType": "anything", "group": "Ungrouped variables", "name": "year1", "description": ""}, "amount": {"definition": "random(100,200,300,400,500,600,700,800,900,1000,1200,1500,1600,1800,2000,2200,2400,2500,2600,2700,2800,3000,3100,3200,3300,3400,3500,3600,3700,3800,3900,4000,4200,4300,4500,4600,4800,5000)", "templateType": "anything", "group": "Ungrouped variables", "name": "amount", "description": ""}, "years": {"definition": "random(2..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "years", "description": ""}}, "metadata": {"description": "<p>Questions checking your knowledge of simple and compound interest.</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": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}]}]}], "contributors": [{"name": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}]}