// Numbas version: exam_results_page_options
{"name": "Simultaneous equations to solve Forces in a system (No Advice)", "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", "a1", "b1", "c1", "ans1", "ans2", "num1", "num2", "num3", "ans"], "name": "Simultaneous equations to solve Forces in a system (No Advice)", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {"std": ["all"]}, "parts": [{"prompt": "<p>$\\simplify{{a}F_1 + {b}F_2 = {c}}$</p>\n<p>$\\simplify{{a1}F_1 + {b1}F_2 = {c1}}$</p>\n<p>$F_1$= &nbsp;[[0]]</p>\n<p>$F_2$= &nbsp;[[1]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}+0.5", "strictPrecision": false, "minValue": "{ans1}-0.5", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": "0", "correctAnswerFraction": false, "showCorrectAnswer": false, "precision": "1", "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans2} +0.5", "strictPrecision": false, "minValue": "{ans2} -0.5", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": "2", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>The forces $F_1$ and $F_2$ in a system are described by the simultaneous equations given below.</p>\n<p>Solve for&nbsp;$F_1$ and $F_2$, giving your answers to $1$ decimal place where necessary.</p>\n<p><em>&nbsp;</em></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(6..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "(ans1*a)+(ans2*b)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(5..9 except [a])", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "num1": {"definition": "random(2..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "num2": {"definition": "random(2..9 except num1)", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "num3": {"definition": "random(2..9 except [num1,num2])", "templateType": "anything", "group": "Ungrouped variables", "name": "num3", "description": ""}, "ans1": {"definition": "random(1.1..2.5#0.1 except 2)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "random(2.6..3.9#0.1 except 3)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "a1": {"definition": "random(1..9 except a)", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "b1": {"definition": "random(-8..9 except[a1,0,b])", "templateType": "anything", "group": "Ungrouped variables", "name": "b1", "description": ""}, "ans": {"definition": "precround((-num3 - (num1*num3))/((num1*num2)-num2),2)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans", "description": ""}, "c1": {"definition": "(ans1*a1)+(ans2*b1)", "templateType": "anything", "group": "Ungrouped variables", "name": "c1", "description": ""}}, "metadata": {"description": "", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}]}], "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}