// Numbas version: exam_results_page_options
{"name": "Brokregning med variable", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "Brokregning med variable", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Learn from your mistakes and have another attempt by clicking on 'Try another question like this one' until you get full marks.</p>", "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers"], "": []}, "parts": [{"stepsPenalty": "0", "prompt": "<p>Trekk sammen</p>\n<p>$\\displaystyle\\simplify{{a}/({b}x)+{c}/({d}x)+{ee}/({b*d}x)}=$[[0]]</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p><em>Utvid br&oslash;kene slik at de f&aring;r en felles nevner. Deretter kan du addere eller subtrahere.&nbsp;</em></p>\n<hr/>\n<p></p>\n<p>Hvis oppgaven var $\\frac{1}{4x}+\\frac{7}{12x}$ kunne vi utvidet den f&oslash;rste br&oslash;ken til $\\frac{3}{12x}$ (ved &aring; multiplisere med 3&nbsp;i teller og nevner), slik at begge br&oslash;kene fikk nevner lik $12x$. Deretter kunne vi addert br&oslash;kene:&nbsp;</p>\n<p style=\"text-align: center;\">\\[\\frac{1}{4x}+\\frac{7}{12x}=\\frac{1\\cdot 3}{4x\\cdot 3}+\\frac{7}{12x}=\\frac{3}{12x}+\\frac{7}{12x}=\\frac{10}{12x}=\\frac{5}{6x}\\]</p>\n<hr/>\n<p>(Husk &aring; forkorte hvis det er mulig)</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{a*d+c*b+ee}/({b*d}x)", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": "0", "prompt": "<p>$\\displaystyle{\\frac{\\var{f}y}{\\var{g}} \\cdot&nbsp;\\frac{\\var{h*g}}{\\var{j}y}}=$[[0]]</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p><em>Multipliser teller med teller, og nevner med nevner.</em></p>\n<hr/>\n<p>For eksempel:&nbsp;</p>\n<p style=\"text-align: center;\">\\[\\frac{4a}{5}\\cdot \\frac{2}{6y}=\\frac{4a\\cdot 2}{5 \\cdot 6y}=\\frac{8a}{30y}=\\frac{4a}{15}\\]</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\">(Husk &aring; forkorte hvis mulig)</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{f*h}/{j}", "marks": "1", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": "0", "prompt": "<p>$\\displaystyle\\frac{\\var{m*k}ab}{\\var{l}}: \\frac{\\var{k}a}{\\var{n*l}b}=$[[0]]</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p><em>Multipliser med den omvendte br&oslash;ken.</em></p>\n<p>Anta du vil finne &nbsp;$\\frac{3x}{7}:\\frac{9x}{4}$. &Aring; dividere med &nbsp;$\\frac{9x}{4}$ er ekvivalent med &aring; multiplisere med &nbsp;$\\frac{4}{9x}$, slik at regnestykket blir:&nbsp;</p>\n<p>\\[\\frac{3x}{7}:\\frac{9x}{4}=\\frac{3x}{7}\\cdot\\frac{4}{9x}=\\frac{3x\\cdot 4}{7\\cdot 9x}=\\frac{4}{21}\\]</p>\n<p>(Husk &aring; forkorte)</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{m*n}b^2", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Regn ut og oppgi svaret ditt som en br&oslash;k eller et bokstavuttrykk. Bruk &nbsp;/ &nbsp;som br&oslash;kstrek, for eksempel skal $\\frac{2}{xy}$ skrives som&nbsp;2/(x*y).</p>", "variable_groups": [{"variables": ["a", "b", "c", "d", "ee", "f", "g", "h", "j", "k", "l", "m", "n"], "name": "numerical fractions"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(1..3)", "templateType": "anything", "group": "numerical fractions", "name": "a", "description": ""}, "c": {"definition": "random(-2..2 except 0)", "templateType": "anything", "group": "numerical fractions", "name": "c", "description": ""}, "b": {"definition": "random(3..6 except a)", "templateType": "anything", "group": "numerical fractions", "name": "b", "description": ""}, "d": {"definition": "random(2..5 except[c,b])", "templateType": "anything", "group": "numerical fractions", "name": "d", "description": ""}, "g": {"definition": "random(3..7 except f)", "templateType": "anything", "group": "numerical fractions", "name": "g", "description": ""}, "f": {"definition": "random(-2..3 except 0)", "templateType": "anything", "group": "numerical fractions", "name": "f", "description": ""}, "ee": {"definition": "random(-1..1 except 0)", "templateType": "anything", "group": "numerical fractions", "name": "ee", "description": ""}, "h": {"definition": "random(-3..3 except [0, -1, 1])", "templateType": "anything", "group": "numerical fractions", "name": "h", "description": ""}, "k": {"definition": "random(-4..4 except 0)", "templateType": "anything", "group": "numerical fractions", "name": "k", "description": ""}, "j": {"definition": "random(2..7)", "templateType": "anything", "group": "numerical fractions", "name": "j", "description": ""}, "m": {"definition": "random(-3..3 except [-1, 0, 1])", "templateType": "anything", "group": "numerical fractions", "name": "m", "description": ""}, "l": {"definition": "random(2..5)", "templateType": "anything", "group": "numerical fractions", "name": "l", "description": ""}, "n": {"definition": "random(2..4)", "templateType": "anything", "group": "numerical fractions", "name": "n", "description": ""}}, "metadata": {"description": "<p>Add, subtract, multiply and divide algebraic fractions.</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": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}]}]}], "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}]}