// Numbas version: finer_feedback_settings
{"name": "Gu\u00eda de Porcentaje y Volumen de Cuerpos", "metadata": {"description": "", "licence": "None specified"}, "duration": 7200, "percentPass": "0", "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "8\u00b0 B\u00e1sico B", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "questions": [{"name": "Gu\u00eda de 8\u00b0 de Porcentaje y Vol\u00famenes de Cuerpos", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/9326/"}], "tags": [], "metadata": {"description": "
En este test se evaluarán el calculo de porcentajes y de área y volumen de cubos, prismas de base cuadrada y cilindros.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "1) ¿Cuál es el $40\\%$de $1200$?
\n
\n2) ¿Qué porcentaje es $625$ de $2500$?
\n
\n3) ¿De qué cantidad $128$ es el $16\\%$?
\n
\n4) ¿Cuál es el área de una caja de pandora cúbica si su arista mide $8$ m?
\n
\n5) ¿Cuál es el volumen de un refrigerador de base cuadrada, arista basal $50$ cm y altura $180$ cm?
\n
\n6) Se tienen dos tarros, el primer tarro de frutas su diámetro es de $8$ cm (radio $4$ cm) y altura $6$ cm. El segundo tarro de leche tiene diámetro $6$ $cm$ (radio $3$ cm) y altura $8$ cm, ¿Cuál de los dos tarros tiene mayor volumen? Considere $\\pi=3$.
\n", "advice": "Vamos mucho éxito en su producto de aprendizaje
", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Desarrollo 1", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Observación: En las preguntas 1, 2 y 3, en el paso 2 del desarrollo, usted debe escribir una expresión de la forma $x=$$\\Large \\frac{a \\cdot b}{c} $, debe considerar para obtener la respuesta correcta que $a<b$, es decir $a$ es menor que $b$, en cada uno de los ejercicios.
\n
\nPaso 1: Construir la tabla de porcentaje.
\n\n\n\n[[0]] | \n$\\rightarrow$ | \n$100\\%$ | \n
\n\n$x$ | \n$\\rightarrow$ | \n[[1]]$\\%$ | \n
\n\n
\nPaso 2: Realizar la multiplicación cruzada entre valores conocidos y dividirlo por el valor cruzado a $x$.
\n
[[2]]$\\cdot$ [[3]]
\n $x=$ _______________
\n [[4]]
\n [[5]]
\n $x=$ _______ $=$ [[6]]
\n [[4]]
\n
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"adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Paso 1: Construir la tabla de porcentaje.
\n\n\n\n[[0]] | \n$\\rightarrow$ | \n$100\\%$ | \n
\n\n[[1]] | \n$\\rightarrow$ | \n$x\\%$ | \n
\n\n
\nPaso 2: Realizar la multiplicación cruzada entre valores conocidos y dividirlo por el valor cruzado a $x$.
\n
[[2]]$\\cdot$[[3]]
\n $x=$ ______________
\n [[4]]
\n [[5]]
\n $x=$ _______ $=$ [[6]]
\n [[4]]
\n
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"adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Paso 1: Construir la tabla de porcentaje.
\n\n\n\n$x$ | \n$\\rightarrow$ | \n$100\\%$ | \n
\n\n[[0]] | \n$\\rightarrow$ | \n[[1]] $\\%$ | \n
\n\n
\nPaso 2: Realizar la multiplicación cruzada entre valores conocidos y dividirlo por el valor cruzado a $x$.
\n
[[2]]$\\cdot$[[3]]
\n $x=$ ______________
\n [[4]]
\n [[5]]
\n $x=$ _______ $=$ [[6]]
\n [[4]]
\n
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"useCustomName": false, "customName": "", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "128", "maxValue": "128", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, 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"customName": "", "marks": "0.8", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "800", "maxValue": "800", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Desarrollo 4", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "El área de un cubo se obtiene por medio de la fórmula $A_{cubo}=6\\cdot a^2$, donde $a$ es la medida de la arista del cubo.
\n\nRespuesta: $A_{cubo}=6 \\cdot$ [[0]]$^{2}$
\n $=6\\cdot$[[1]]
\n $=$[[2]]
\n
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\n\nRespuesta: $V_{prisma}=$ [[0]]$^2 \\cdot$ [[1]]
\n $=$ [[2]] $\\cdot$ [[1]]
\n $=$ [[3]]
\n
\n", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "50", "maxValue": "50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "180", "maxValue": "180", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2500", "maxValue": "2500", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "450000", "maxValue": "450000", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Desarrollo", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Para este ejercicio debemos usar para ambos tarros la fórmula del volumen de un cilindro, es cual se obtiene por medio de la expresión $V_{cilindro}=\\pi \\cdot r^2 \\cdot h$, considerando en cada volumen que $\\pi=3$.
\n\nVolumen del tarro de frutas: $V_{frutas}=3 \\cdot$ [[0]] $^2$ $\\cdot$ [[1]]
\n $= 3 \\cdot$ [[2]] $\\cdot$ [[1]]
\n $=$ [[3]]
\n\nVolumen del tarro de leche: $V_{leche}=3 \\cdot$ [[4]] $^2$ $\\cdot$ [[5]]
\n $= 3 \\cdot$ [[6]] $\\cdot$ [[5]]
\n $=$ [[7]]
\nRespuesta el volumen del tarro de frutas es [[8]] al volumen del tarro de leche.
\n
\n
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