// Numbas version: exam_results_page_options
{"name": "1.2.5.1 Evaluate a fractional power", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "1.2.5.1 Evaluate a fractional power", "tags": [], "metadata": {"description": "<p>Use a calculator to evaluate a number to the power of a fractional index. Both the number (a positive integer) and the index (a rational) are randomised.</p>\n<p>Part of HELM Book 1.2</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Using a calculator, evaluate $\\var{q2_expr}$ to 4 significant figures.</p>", "advice": "<p>Using a calculator, $\\var{q2_expr}=\\var{eval(q2_expr)}$.</p>\n<p>Rounding this to 4 significant figures means that we round the answer to exactly 4 digits, beginning with the left hand most non-zero digit, even if this is to the right of the decimal point.</p>\n<p>Rounded to 4 significant figures, the answer is: $\\var{sigformat(eval(q2_expr),4)}$</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"q2_expr": {"name": "q2_expr", "group": "Ungrouped variables", "definition": "expression(q2_base+\"^(\"+q2_idx+\")\")", "description": "", "templateType": "anything", "can_override": false}, "q2_base": {"name": "q2_base", "group": "Ungrouped variables", "definition": "random(2..99)", "description": "", "templateType": "anything", "can_override": false}, "q2_idx": {"name": "q2_idx", "group": "Ungrouped variables", "definition": "random(-1,1)*(q2_idxnum/q2_idxden)", "description": "", "templateType": "anything", "can_override": false}, "q2_idxden": {"name": "q2_idxden", "group": "Ungrouped variables", "definition": "random(2..7)", "description": "", "templateType": "anything", "can_override": false}, "q2_idxnum": {"name": "q2_idxnum", "group": "Ungrouped variables", "definition": "random(1..q2_idxden-1)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["q2_expr", "q2_base", "q2_idx", "q2_idxden", "q2_idxnum"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{eval(q2_expr)}", "maxValue": "{eval(q2_expr)}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "sigfig", "precision": "4", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}]}], "contributors": [{"name": "Merryn Horrocks", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4052/"}]}