// Numbas version: exam_results_page_options
{"name": "Trigonometri 1T", "metadata": {"description": "Tester trigonometrikunnskaper fra 1T.<br>", "licence": "Creative Commons Attribution 4.0 International"}, "duration": 7200, "percentPass": "50", "showQuestionGroupNames": true, "showstudentname": false, "question_groups": [{"name": "Intro", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Intro til trigonometripr\u00f8ve", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Hei! Lykke til med denne pr&oslash;ven!</p>\n<p></p>\n<p>Tips: Svarene blir bare godkjent hvis de er riktig avrundet. Hvis f.eks. 21.46 er riktig svar, kan du ikke svare 21.47. For &aring; sikre deg at du f&aring;r riktig svar b&oslash;r du lagre mange desimaler i mellomregninger, og s&aring; avrunde helt til slutt.</p>", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Jeg lover &aring; svare p&aring; oppgavene uten hjelp fra internet eller andre mennesker.</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Ja", "Nei"], "matrix": ["4", "-10"], "distractors": ["", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": false, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Jeg lover &aring; kun bruke skrivesaker og kalkulator, ingen andre hjelpemidler.</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Ja", "Nei"], "matrix": ["4", "-10"], "distractors": ["", ""]}]}]}, {"name": "Oppgaver", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "Trekantopplysninger", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-05-05_at_15.14.09.png", "/srv/numbas/media/question-resources/Screenshot_2020-05-05_at_15.14.09.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>I denne oppgaven f&aring;r du en rekke beskrivelser av en mulig trekant.</p>\n<p></p>\n<p>I hver deloppgave er sp&oslash;rsm&aring;let: <strong>Hvor mange mulige trekanter kan passe med opplysningene som er gitt?</strong></p>\n<p></p>\n<p>Riktig svar er alltid et av tallene, 0, 1, 2 eller 3, som betyr:</p>\n<p>0) Ingen trekant passer med beskrivelsen</p>\n<p>1) En trekant passer</p>\n<p>2) To trekanter passer</p>\n<p>3) Flere enn to trekanter passer</p>\n<p></p>\n<p>NB: Hvis uendelig mange trekanter passer, m&aring; du fortsatt svare \"3\".</p>\n<p></p>\n<p>Vi bruker bokstavene $a$, $b$, og $c$ for sidelengdene, med tilsvarende vinkler $\\angle A$, $\\angle B$, og $ \\angle C$. Her ligger $\\angle A$ mellom sidene $b$ og $c$ og s&aring; videre.</p>\n<p></p>\n<p><img src=\"resources/question-resources/Screenshot_2020-05-05_at_15.14.09.png\"/></p>\n<p></p>", "advice": "", "rulesets": {}, "variables": {"a1": {"name": "a1", "group": "Ungrouped variables", "definition": "random(5 .. 7#1)", "description": "<p>Sidelengde a1</p>", "templateType": "randrange"}, "b1": {"name": "b1", "group": "Ungrouped variables", "definition": "random(11 .. 15#1)", "description": "<p>Sidelengde b1</p>", "templateType": "randrange"}, "d1": {"name": "d1", "group": "Ungrouped variables", "definition": "random(-3 .. 3#1)", "description": "<p>Diff variable</p>", "templateType": "randrange"}, "c1": {"name": "c1", "group": "Ungrouped variables", "definition": "a1+b1-d1", "description": "<p>Sidelengde c</p>", "templateType": "anything"}, "ans1": {"name": "ans1", "group": "Ungrouped variables", "definition": "ceil(0.5*sgn(d1))", "description": "<p>Answer</p>", "templateType": "anything"}, "alpha2": {"name": "alpha2", "group": "Ungrouped variables", "definition": "random(20 .. 60#5)", "description": "", "templateType": "randrange"}, "beta2": {"name": "beta2", "group": "Ungrouped variables", "definition": "random(42 .. 82#4)", "description": "", "templateType": "randrange"}, "delta2": {"name": "delta2", "group": "Ungrouped variables", "definition": "random(-10 .. 10#10)", "description": "<p>Angle diff</p>", "templateType": "randrange"}, "gamma2": {"name": "gamma2", "group": "Ungrouped variables", "definition": "180-alpha2-beta2+delta2", "description": "<p>Suggested third angle</p>", "templateType": "anything"}, "x": {"name": "x", "group": "Ungrouped variables", "definition": "sign(delta2)", "description": "", "templateType": "anything"}, "ans2": {"name": "ans2", "group": "Ungrouped variables", "definition": "3*(1+x)(1-x)", "description": "", "templateType": "anything"}, "a3": {"name": "a3", "group": "Ungrouped variables", "definition": "random(7 .. 10#1)", "description": "", "templateType": "randrange"}, "d3": {"name": "d3", "group": "Ungrouped variables", "definition": "random(2 .. 5#1)", "description": "", "templateType": "randrange"}, "beta4": {"name": "beta4", "group": "Ungrouped variables", "definition": "30", "description": "", "templateType": "anything"}, "a4": {"name": "a4", "group": "Ungrouped variables", "definition": "random(6 .. 14#2)", "description": "", "templateType": "randrange"}, "h4": {"name": "h4", "group": "Ungrouped variables", "definition": "a4*sin(radians(beta4))", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(0.4 .. 2.6#0.2)", "description": "<p>Used in the relation b4 = f*h4</p>", "templateType": "randrange"}, "b4": {"name": "b4", "group": "Ungrouped variables", "definition": "f*h4", "description": "", "templateType": "anything"}, "two": {"name": "two", "group": "Ungrouped variables", "definition": "(f-1)(f-2)<0", "description": "<p>True if there are two triangles.</p>", "templateType": "anything"}, "zero": {"name": "zero", "group": "Ungrouped variables", "definition": "f<1", "description": "<p>True if there are zero triangles.</p>", "templateType": "anything"}, "ans4": {"name": "ans4", "group": "Ungrouped variables", "definition": "switch(two, 2, zero, 0, 1)", "description": "<p>Answer</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a1", "b1", "d1", "c1", "ans1", "alpha2", "beta2", "delta2", "gamma2", "x", "ans2", "a3", "d3", "beta4", "a4", "h4", "f", "b4", "two", "zero", "ans4"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Trekant der sidelengdene er $a=\\var{a1}$,&nbsp;$b=\\var{c1}$ og $c=\\var{b1}$.<span style=\"line-height: 15px;\"></span></p>", "minValue": "ans1", "maxValue": "ans1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Trekant der vinklene er $\\angle A = \\var{alpha2}^{\\circ}$,&nbsp;$\\angle B= \\var{beta2}^{\\circ}$ og $\\angle C = \\var{gamma2}^{\\circ}$.<span style=\"line-height: 15px;\"></span></p>", "minValue": "ans2", "maxValue": "ans2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Rettvinklet trekant der alle tre sidelengdene er oddetall.</p>", "minValue": "0", "maxValue": "0", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Likebent trekant der $a=\\var{a3}$ og $b=\\var{a3+d3}$.</p>", "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Trekant der $\\angle B = \\var{beta4}^{\\circ}$, der $a=\\var{a4}$, og $b = \\var{b4}$.</p>", "minValue": "ans4", "maxValue": "ans4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}, {"name": "Trekantopplysninger 2", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-05-05_at_15.14.09.png", "/srv/numbas/media/question-resources/Screenshot_2020-05-05_at_15.14.09.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>Igjen f&aring;r du en rekke beskrivelser av en mulig trekant, og oppgaven er den samme.</p>\n<p></p>\n<p>I hver deloppgave er sp&oslash;rsm&aring;let: <strong>Hvor mange mulige trekanter kan passe med opplysningene som er gitt?</strong></p>\n<p></p>\n<p>Riktig svar er alltid et av tallene, 0, 1, 2 eller 3, som betyr:</p>\n<p>0) Ingen trekant passer med beskrivelsen</p>\n<p>1) En trekant passer</p>\n<p>2) To trekanter passer</p>\n<p>3) Flere enn to trekanter passer</p>\n<p></p>\n<p>NB: Hvis uendelig mange trekanter passer, m&aring; du fortsatt svare \"3\".</p>\n<p></p>\n<p>Vi bruker bokstavene $a$, $b$, og $c$ for sidelengdene, med tilsvarende vinkler $\\angle A$, $\\angle B$, og $ \\angle C$. Her ligger $\\angle A$ mellom sidene $b$ og $c$ og s&aring; videre.</p>\n<p></p>\n<p><img src=\"resources/question-resources/Screenshot_2020-05-05_at_15.14.09.png\"/></p>\n<p></p>", "advice": "", "rulesets": {}, "variables": {"a1": {"name": "a1", "group": "Ungrouped variables", "definition": "random(5 .. 7#1)", "description": "<p>Sidelengde a1</p>", "templateType": "randrange"}, "b1": {"name": "b1", "group": "Ungrouped variables", "definition": "random(11 .. 15#1)", "description": "<p>Sidelengde b1</p>", "templateType": "randrange"}, "d1": {"name": "d1", "group": "Ungrouped variables", "definition": "random(-3 .. 3#1)", "description": "<p>Diff variable</p>", "templateType": "randrange"}, "c1": {"name": "c1", "group": "Ungrouped variables", "definition": "a1+b1-d1", "description": "<p>Sidelengde c</p>", "templateType": "anything"}, "ans1": {"name": "ans1", "group": "Ungrouped variables", "definition": "ceil(0.5*sgn(d1))", "description": "<p>Answer</p>", "templateType": "anything"}, "alpha2": {"name": "alpha2", "group": "Ungrouped variables", "definition": "random(20 .. 60#5)", "description": "", "templateType": "randrange"}, "beta2": {"name": "beta2", "group": "Ungrouped variables", "definition": "random(42 .. 82#4)", "description": "", "templateType": "randrange"}, "delta2": {"name": "delta2", "group": "Ungrouped variables", "definition": "random(-10 .. 10#10)", "description": "<p>Angle diff</p>", "templateType": "randrange"}, "gamma2": {"name": "gamma2", "group": "Ungrouped variables", "definition": "180-alpha2-beta2+delta2", "description": "<p>Suggested third angle</p>", "templateType": "anything"}, "x": {"name": "x", "group": "Ungrouped variables", "definition": "sign(delta2)", "description": "", "templateType": "anything"}, "ans2": {"name": "ans2", "group": "Ungrouped variables", "definition": "3*(1+x)(1-x)", "description": "", "templateType": "anything"}, "a3": {"name": "a3", "group": "Ungrouped variables", "definition": "random(7 .. 10#1)", "description": "", "templateType": "randrange"}, "d3": {"name": "d3", "group": "Ungrouped variables", "definition": "random(2 .. 5#1)", "description": "", "templateType": "randrange"}, "beta4": {"name": "beta4", "group": "Ungrouped variables", "definition": "30", "description": "", "templateType": "anything"}, "a4": {"name": "a4", "group": "Ungrouped variables", "definition": "random(6 .. 14#2)", "description": "", "templateType": "randrange"}, "h4": {"name": "h4", "group": "Ungrouped variables", "definition": "a4*sin(radians(beta4))", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(0.4 .. 2.6#0.2)", "description": "<p>Used in the relation b4 = f*h4</p>", "templateType": "randrange"}, "b4": {"name": "b4", "group": "Ungrouped variables", "definition": "f*h4", "description": "", "templateType": "anything"}, "two": {"name": "two", "group": "Ungrouped variables", "definition": "(f-1)(f-2)<0", "description": "<p>True if there are two triangles.</p>", "templateType": "anything"}, "zero": {"name": "zero", "group": "Ungrouped variables", "definition": "f<1", "description": "<p>True if there are zero triangles.</p>", "templateType": "anything"}, "ans4": {"name": "ans4", "group": "Ungrouped variables", "definition": "switch(two, 2, zero, 0, 1)", "description": "<p>Answer</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a1", "b1", "d1", "c1", "ans1", "alpha2", "beta2", "delta2", "gamma2", "x", "ans2", "a3", "d3", "beta4", "a4", "h4", "f", "b4", "two", "zero", "ans4"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Trekant der sidelengdene er $a=\\var{a1}$,&nbsp;$b=\\var{c1}$ og $c=\\var{b1}$.<span style=\"line-height: 15px;\"></span></p>", "minValue": "ans1", "maxValue": "ans1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Trekant der vinklene er $\\angle A = \\var{alpha2}^{\\circ}$,&nbsp;$\\angle B= \\var{beta2}^{\\circ}$ og $\\angle C = \\var{gamma2}^{\\circ}$.<span style=\"line-height: 15px;\"></span></p>", "minValue": "ans2", "maxValue": "ans2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Trekant der $\\angle B = \\var{beta4}^{\\circ}$, der $a=\\var{a4}$, og $b = \\var{b4}$.</p>", "minValue": "ans4", "maxValue": "ans4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}, {"name": "Rettvinklet trekant 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>I en rettvinklet trekant har hypotenusen lengde <span style=\"line-height: 15px;\">$ \\var{c} $</span><span class=\"p\"></span>, og &eacute;n av katetene har lengde <span style=\"line-height: 15px;\">$ \\var{kmin} $</span><span class=\"p\"></span>.</p>", "advice": "", "rulesets": {}, "variables": {"m": {"name": "m", "group": "Ungrouped variables", "definition": "random(2 .. 7#1)", "description": "<p>Generator m, an integer between 2 and 7 inclusive.</p>", "templateType": "randrange"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(1 .. 2#1)", "description": "<p>Generator d, used to define n=m+d.</p>", "templateType": "randrange"}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "m+d", "description": "", "templateType": "anything"}, "kmin": {"name": "kmin", "group": "Ungrouped variables", "definition": "n^2-m^2", "description": "<p>Minste katet.</p>", "templateType": "anything"}, "kmax": {"name": "kmax", "group": "Ungrouped variables", "definition": "2*m*n", "description": "<p>St&oslash;rste katet.</p>", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "n^2+m^2", "description": "<p>Hypotenus.</p>", "templateType": "anything"}, "vmin": {"name": "vmin", "group": "Ungrouped variables", "definition": "arcsin(kmin/c)*180/pi", "description": "<p>Minste vinkel.</p>", "templateType": "anything"}, "vmax": {"name": "vmax", "group": "Ungrouped variables", "definition": "arcsin(kmax/c)*180/pi", "description": "<p>St&oslash;rste vinkel</p>", "templateType": "anything"}, "areal": {"name": "areal", "group": "Ungrouped variables", "definition": "kmin*kmax/2", "description": "<p>Arealet til trekanten</p>", "templateType": "anything"}, "h": {"name": "h", "group": "Ungrouped variables", "definition": "kmin*kmax/c", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["m", "d", "n", "kmin", "kmax", "c", "vmin", "vmax", "areal", "h"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor lang er den andre kateten?</p>", "minValue": "kmax", "maxValue": "kmax", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hva er arealet til trekanten?</p>", "minValue": "areal", "maxValue": "areal", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor mange grader er den minste vinkelen i trekanten? Svar med 2 riktige desimaler.</p>", "minValue": "vmin", "maxValue": "vmin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor lang er h&oslash;yden som st&aring;r vinkelrett p&aring; hypotenusen? Svar p&aring; br&oslash;kform (forkortet).</p>", "minValue": "h", "maxValue": "h", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "showFractionHint": true, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}, {"name": "Rettvinklet trekant 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>I en rettvinklet trekant er den ene vinkelen <span style=\"line-height: 15px;\">$ \\var{vmin}^{\\circ} $</span><span class=\"p\"></span>, og hypotenusen har lengde <span style=\"line-height: 15px;\">$ \\var{c} $</span><span class=\"p\"></span>.</p>\n<p></p>\n<p>Gi svarene med 2 riktige desimaler.</p>", "advice": "", "rulesets": {}, "variables": {"vmin": {"name": "vmin", "group": "Ungrouped variables", "definition": "random(11 .. 40#1)", "description": "<p>Minste vinkel.</p>", "templateType": "randrange"}, "vmax": {"name": "vmax", "group": "Ungrouped variables", "definition": "90-vmin", "description": "<p>St&oslash;rste vinkel</p>", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(5 .. 15#1)", "description": "<p>Hypotenusen.</p>", "templateType": "randrange"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "c*sin(vmin*pi/180)", "description": "<p>Minste katet.</p>", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "c*sin(vmax*pi/180)", "description": "<p>St&oslash;rste katet</p>", "templateType": "anything"}, "areal": {"name": "areal", "group": "Ungrouped variables", "definition": "a*b/2", "description": "<p>Arealet til trekanten.</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["vmin", "vmax", "c", "a", "b", "areal"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor lang er den minste kateten i trekanten? </p>", "minValue": "a", "maxValue": "a", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor lang er den lengste kateten?</p>", "minValue": "b", "maxValue": "b", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hva er arealet til trekanten?</p>", "minValue": "areal", "maxValue": "areal", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}, {"name": "Verdier til sin, cos, tan", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>En spiss vinkel $v$ er slik at <span style=\"line-height: 15px;\">$ sin(v) = \\frac{\\var{a} }{\\var{c}} $</span><span class=\"p\"></span>.</p>\n<p></p>\n<p>Svar p&aring; forkortet br&oslash;kform p&aring; begge oppgavene.</p>", "advice": "", "rulesets": {}, "variables": {"m": {"name": "m", "group": "Ungrouped variables", "definition": "random(2 .. 5#1)", "description": "<p>Generator m, an integer between 2 and 5 inclusive.</p>", "templateType": "randrange"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(1 .. 3#1)", "description": "<p>Generator d, used to define n=m+d.</p>", "templateType": "randrange"}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "m+d", "description": "", "templateType": "anything"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "n^2-m^2", "description": "<p>Katet nr 1</p>", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "2*m*n", "description": "<p>Katet nr 2</p>", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "n^2+m^2", "description": "<p>Hypotenus.</p>", "templateType": "anything"}, "v1": {"name": "v1", "group": "Ungrouped variables", "definition": "arcsin(a/c)*180/pi", "description": "<p>Vinkel motst&aring;ende a</p>", "templateType": "anything"}, "v2": {"name": "v2", "group": "Ungrouped variables", "definition": "arcsin(b/c)*180/pi", "description": "<p>Vinkel motst&aring;ende b</p>", "templateType": "anything"}, "areal": {"name": "areal", "group": "Ungrouped variables", "definition": "a*b/2", "description": "<p>Arealet til trekanten</p>", "templateType": "anything"}, "h": {"name": "h", "group": "Ungrouped variables", "definition": "a*b/c", "description": "", "templateType": "anything"}, "cos1": {"name": "cos1", "group": "Ungrouped variables", "definition": "b/c", "description": "<p>cos(v1)</p>", "templateType": "anything"}, "sin1": {"name": "sin1", "group": "Ungrouped variables", "definition": "a/c", "description": "<p>sin(v1)</p>", "templateType": "anything"}, "tan1": {"name": "tan1", "group": "Ungrouped variables", "definition": "a/b", "description": "<p>tan(v1)</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["m", "d", "n", "a", "b", "c", "v1", "v2", "areal", "h", "cos1", "sin1", "tan1"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Regn ut $\\cos(v)$.</p>", "minValue": "cos1", "maxValue": "cos1", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "showFractionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Regn ut $\\tan(v) $.</p>", "minValue": "tan1", "maxValue": "tan1", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "showFractionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}, {"name": "Generell trekant 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>En trekant har sidelengdene&nbsp;<span style=\"line-height: 15px;\">$ \\var{a} $</span>,&nbsp;<span style=\"line-height: 15px;\">$ \\var{c} $</span> og <span style=\"line-height: 15px;\">$ \\var{b} $</span><span class=\"p\"></span>.</p>\n<p></p>\n<p>Gi svarene med 2 riktige desimaler.</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(5 .. 7#1)", "description": "<p>Kortest side</p>", "templateType": "randrange"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(10 .. 13#1)", "description": "<p>Mellomlang side</p>", "templateType": "randrange"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(1 .. 4#1)", "description": "<p>Will be used to define c as a+b-d</p>", "templateType": "randrange"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "a+b-d", "description": "<p>Lengst side</p>", "templateType": "anything"}, "s": {"name": "s", "group": "Ungrouped variables", "definition": "(a+b+c)/2", "description": "", "templateType": "anything"}, "areal": {"name": "areal", "group": "Ungrouped variables", "definition": "sqrt(s*(s-a)*(s-b)*(s-c))", "description": "<p>Arealet til trekanten.</p>", "templateType": "anything"}, "alpha": {"name": "alpha", "group": "Ungrouped variables", "definition": "(180/pi)*arccos((b^2+c^2-a^2)/(2*b*c))", "description": "<p>Minste vinkel</p>", "templateType": "anything"}, "beta": {"name": "beta", "group": "Ungrouped variables", "definition": "(180/pi)*arccos((a^2+c^2-b^2)/(2*a*c))", "description": "<p>Mellomvinkel</p>", "templateType": "anything"}, "gamma": {"name": "gamma", "group": "Ungrouped variables", "definition": "(180/pi)*arccos((b^2+a^2-c^2)/(2*b*a))", "description": "<p>St&oslash;rste vinkel</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "d", "c", "s", "areal", "alpha", "beta", "gamma"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor mange grader er den minste vinkelen i trekanten?</p>", "minValue": "alpha", "maxValue": "alpha", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor mange grader er den st&oslash;rste vinkelen i trekanten?</p>", "minValue": "gamma", "maxValue": "gamma", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hva er arealet til trekanten?</p>", "minValue": "areal", "maxValue": "areal", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}, {"name": "Generell trekant 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>En trekant har sidelengdene&nbsp;<span style=\"line-height: 15px;\">$ \\var{a} $</span> og <span style=\"line-height: 15px;\">$ \\var{b} $</span><span class=\"p\"></span>. Mellom disse to sidene finner vi vinkelen $ \\var{gamma}^{\\circ}$.</p>\n<p></p>\n<p>Gi alle svar med 2 riktige desimaler.</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(5 .. 7#1)", "description": "<p>Sidelengde a</p>", "templateType": "randrange"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(8 .. 11#1)", "description": "<p>Sidelengde b</p>", "templateType": "randrange"}, "s": {"name": "s", "group": "Ungrouped variables", "definition": "(a+b+c)/2", "description": "", "templateType": "anything"}, "areal": {"name": "areal", "group": "Ungrouped variables", "definition": "sqrt(s*(s-a)*(s-b)*(s-c))", "description": "<p>Arealet til trekanten.</p>", "templateType": "anything"}, "alpha": {"name": "alpha", "group": "Ungrouped variables", "definition": "(180/pi)*arccos((b^2+c^2-a^2)/(2*b*c))", "description": "<p>Vinkel alpha</p>", "templateType": "anything"}, "beta": {"name": "beta", "group": "Ungrouped variables", "definition": "(180/pi)*arccos((a^2+c^2-b^2)/(2*a*c))", "description": "<p>Vinkel beta</p>", "templateType": "anything"}, "gamma": {"name": "gamma", "group": "Ungrouped variables", "definition": "random(18 .. 74#1)", "description": "<p>Vinkel mellom a og b</p>", "templateType": "randrange"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "sqrt(a^2+b^2-2*a*b*cos(gamma*pi/180))", "description": "<p>Den ukjente siden c</p>", "templateType": "anything"}, "vmin": {"name": "vmin", "group": "Ungrouped variables", "definition": "min(gamma,min(alpha, beta))", "description": "<p>Den minste vinkelen</p>", "templateType": "anything"}, "vmax": {"name": "vmax", "group": "Ungrouped variables", "definition": "max(gamma,max(alpha, beta))", "description": "<p>Den st&oslash;rste vinkelen</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "gamma", "c", "s", "areal", "alpha", "beta", "vmin", "vmax"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hva er arealet til trekanten?</p>", "minValue": "areal", "maxValue": "areal", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor lang er den tredje siden i trekanten?</p>", "minValue": "c", "maxValue": "c", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor mange grader er den minste vinkelen i trekanten?</p>", "minValue": "vmin", "maxValue": "vmin", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hvor mange grader er den st&oslash;rste vinkelen i trekanten?</p>", "minValue": "vmax", "maxValue": "vmax", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}, {"name": "Generell trekant 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "tags": [], "metadata": {"description": "Gitt en katet og hypotenusen, regn ut den andre kateten, arealet, minste vinkel, og h\u00f8yde.<br>", "licence": "None specified"}, "statement": "<p>En trekant har vinklene <span style=\"line-height: 15px;\">$ \\var{beta}^{\\circ}$</span> og <span style=\"line-height: 15px;\">$ \\var{gamma}^{\\circ} $</span><span class=\"p\"></span>. Mellom disse to vinklene finner vi en sidelengde lik $ \\var{a}$.</p>\n<p></p>\n<p>Gi alle svar med 2 riktige desimaler.</p>", "advice": "", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(4 .. 15#1)", "description": "<p>Sidelengde a</p>", "templateType": "randrange"}, "s": {"name": "s", "group": "Ungrouped variables", "definition": "(a+b+c)/2", "description": "", "templateType": "anything"}, "areal": {"name": "areal", "group": "Ungrouped variables", "definition": "sqrt(s*(s-a)*(s-b)*(s-c))", "description": "<p>Arealet til trekanten.</p>", "templateType": "anything"}, "gamma": {"name": "gamma", "group": "Ungrouped variables", "definition": "random(93 .. 119#1)", "description": "<p>Vinkel mellom a og b</p>", "templateType": "randrange"}, "vmin": {"name": "vmin", "group": "Ungrouped variables", "definition": "min(gamma,min(alpha, beta))", "description": "<p>Den minste vinkelen</p>", "templateType": "anything"}, "vmax": {"name": "vmax", "group": "Ungrouped variables", "definition": "max(gamma,max(alpha, beta))", "description": "<p>Den st&oslash;rste vinkelen</p>", "templateType": "anything"}, "beta": {"name": "beta", "group": "Ungrouped variables", "definition": "random(21 .. 33#1)", "description": "", "templateType": "randrange"}, "alpha": {"name": "alpha", "group": "Ungrouped variables", "definition": "180-beta-gamma", "description": "<p>Vinkel alpha</p>", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "a*sin(radians(beta))/sin(radians(alpha))", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "a*sin(radians(gamma))/sin(radians(alpha))", "description": "<p>Sidelengde c</p>", "templateType": "anything"}, "p": {"name": "p", "group": "Ungrouped variables", "definition": "a+b+c", "description": "<p>Omkrets</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "beta", "gamma", "alpha", "b", "c", "s", "areal", "vmin", "vmax", "p"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hva er arealet til trekanten?</p>", "minValue": "areal", "maxValue": "areal", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>Hva er omkretsen til trekanten?</p>", "minValue": "p", "maxValue": "p", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "plain-eu"], "correctAnswerStyle": "plain"}]}]}], "navigation": {"allowregen": false, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": "trekant"}, "timing": {"allowPause": false, "timeout": {"action": "warn", "message": "<p>Tiden er ute.</p>"}, "timedwarning": {"action": "warn", "message": "<p>Bare 5 minutter igjen!</p>"}}, "feedback": {"showactualmark": false, "showtotalmark": true, "showanswerstate": false, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": [{"message": "<p>Bra! Husk n&aring; &aring; ta skjermbilde av resultatet ditt! </p>", "threshold": "30"}]}, "contributors": [{"name": "Andreas Holmstrom", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/285/"}], "extensions": [], "custom_part_types": [], "resources": [["question-resources/Screenshot_2020-05-05_at_15.14.09.png", "/srv/numbas/media/question-resources/Screenshot_2020-05-05_at_15.14.09.png"]]}