{"version":3,"file":"6P11-yuUjdOzF.js","sources":["../../src/exercices/6e/6P11.js"],"sourcesContent":["import { texteEnCouleur, texteEnCouleurEtGras } from '../../lib/outils/embellissements'\nimport { texteExposant } from '../../lib/outils/ecritures.js'\nimport {\n  arrondi,\n  nombreDeChiffresDansLaPartieDecimale,\n  nombreDeChiffresDansLaPartieEntiere,\n  nombreDeChiffresDe\n} from '../../lib/outils/nombres.js'\nimport { numAlpha, sp } from '../../lib/outils/outilString.js'\nimport { prenomF, prenomM } from '../../lib/outils/Personne.js'\nimport { texPrix } from '../../lib/format/style'\nimport { stringNombre } from '../../lib/outils/texNombre.js'\nimport Exercice from '../Exercice.js'\nimport { context } from '../../modules/context.js'\nimport { calculANePlusJamaisUtiliser, gestionnaireFormulaireTexte, listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const titre = 'Solve proportionality problems using simple linearity'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const amcReady = true\nexport const amcType = 'AMCHybride'\n\n/**\n * On donne une relation de proportionnalité du type n objets coûtent x€ et on demande le prix de y objets\n * et le nombre d'objets qu'on peut acheter avec z€.\n * @author Jean-Claude Lhote\n * référence 6P11\n * 03/2021 : ajout de situations de proportionnalité : CGrolleau\n * 08/2021 : Ajout de la version simplifiée et de la possibilité de choisir le type de question : Guillaume Valmont\n * Relecture : Décembre 2021 par EE\n */\n\n// _____ Les fonctions suivantes renvoient un objet : {texte = ; texteCorr = ;} ______\n// elles correspondent aux différentes situations problèmes\nlet versionSimplifiee = false\nlet indexN\nconst couplePremiersEntreEux = [\n  [3, 4],\n  [3, 5],\n  [3, 7],\n  [6, 7],\n  [3, 8],\n  [7, 8],\n  [7, 9],\n  [3, 10],\n  [7, 10],\n  [9, 10],\n  [3, 11],\n  [6, 11],\n  [7, 11],\n  [9, 11],\n  [7, 12],\n  [9, 12],\n  [11, 12],\n  [3, 13],\n  [6, 13],\n  [7, 13],\n  [9, 13],\n  [11, 13],\n  [12, 13]\n\n] // Couples de nombres premiers entre eux\n\nfunction questionAchat (exo, i) { // questions d'origine du 6P11 : achat.\n  const listeDeLieux = [\n    'in a DIY store',\n    'in a pet store',\n    'at the local supermarket',\n    'at the grocery store',\n    'in the museum shop'\n  ]\n  const listeDeChoses = [[]]\n  const listeDePrixUnit = [[]]\n  listeDeChoses[0] = [\n    'items',\n    'tools',\n    'accessories',\n    'tool parts',\n    'paint brushes',\n    'light bulbs',\n    'screwdriver',\n    'spatulas',\n    'pipe fittings'\n  ]\n  listeDeChoses[1] = [\n    'goldfish',\n    'cantons',\n    'parakeets',\n    'stick insects',\n    'flea collars',\n    'mouse',\n    'rabbits',\n    'seed packets'\n  ]\n  listeDeChoses[2] = [\n    'placemats',\n    'glasses',\n    'plates',\n    'chewing bones',\n    'coffee pods',\n    'milk packs',\n    'pasta packets'\n  ]\n  listeDeChoses[3] = [\n    'mangoes',\n    'pineapple',\n    'passion fruit',\n    'melons',\n    'packets of madeleines from Commercy',\n    'bergamot',\n    'bredeles',\n    'cancoillotte pots'\n  ]\n  listeDeChoses[4] = [\n    'cards',\n    'books',\n    'engravings',\n    'puzzles',\n    'models',\n    'rocks',\n    'board games'\n  ]\n  listeDePrixUnit[0] = [5, 4, 1.25, 3, 0.5, 1.5, 2, 6, 4.5]\n  listeDePrixUnit[1] = [1.5, 7, 20, 2.5, 25, 2, 15, 8]\n  listeDePrixUnit[2] = [1.25, 1.5, 2, 0.5, 5, 4.5, 3]\n  listeDePrixUnit[3] = [2, 2.5, 1.25, 1.5, 4, 7, 12, 3]\n  listeDePrixUnit[4] = [0.5, 5, 7, 13.5, 10, 15, 20]\n  const index1 = randint(0, 4)\n  const prenoms = [prenomF(), prenomM()]\n  const index2 = randint(0, listeDeChoses[index1].length - 1)\n  const objet = listeDeChoses[index1][index2]\n  const pu = listeDePrixUnit[index1][index2] * (1 + randint(1, 2) * 0.2 * randint(-1, 1))\n  let n, x, y\n  if (versionSimplifiee) {\n    n = couplePremiersEntreEux[indexN][0]\n    x = couplePremiersEntreEux[indexN][1]\n    y = n * randint(2, 5)\n  } else {\n    n = randint(3, 6)\n    x = calculANePlusJamaisUtiliser(n * pu, 2)\n    y = n * randint(2, 5)\n  }\n  let met = false\n  let p, z\n  while (met === false) {\n    p = n * randint(2, 5)\n    if (p !== y) {\n      met = true\n    }\n  }\n  if (versionSimplifiee) {\n    z = x * randint(2, 5)\n  } else {\n    z = calculANePlusJamaisUtiliser(p * pu, 2)\n  }\n  let enonceAMC1 = `${numAlpha(0)} ${prenoms[0]} has spotted, ${listeDeLieux[index1]}, ${objet}s that interest it.` +\n        `She reads that ${n} ${objet} costs $${texPrix(x)}$${sp()}€.`\n  let texte = enonceAMC1\n  enonceAMC1 += `She wants to buy some ${y}.<br> How many euros will she spend${sp()}?`\n  texte += `She wants to buy some ${y}.<br> How much will she spend${sp()}?`\n  texte += ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: `${sp()}€` })\n  let texteCorr = `${numAlpha(0)} ${y} ${objet}, c'est ${texteEnCouleur(\n            stringNombre(y / n)\n        )} fois ${texteEnCouleur(\n            n,\n            'blue'\n        )} ${objet}.<br> Si ${texteEnCouleur(\n            n,\n            'blue'\n        )} ${objet} coûtent $${texPrix(x)}$${sp()}€, alors ${texteEnCouleur(\n            stringNombre(y / n)\n        )} fois ${texteEnCouleur(\n            n,\n            'blue'\n        )} ${objet} coûtent ${texteEnCouleur(\n            stringNombre(y / n)\n        )} fois $${texPrix(x)}$${sp()}€.<br>` +\n        `${texteEnCouleur(\n            stringNombre(y / n)\n        )} $\\\\times$ ${texteEnCouleur(`$${texPrix(x)}$`, 'blue')}${sp()}€ = ${stringNombre(y * x / n)}${sp()}€<br>` +\n        texteEnCouleurEtGras(`Conclusion: ${prenoms[0]} will spend $${texPrix(y * x / n)}$${sp()}€.`, 'black') + '<br>'\n  const enonceAMC2 = `${numAlpha(1)} ${prenoms[1]\n    } veut lui aussi acheter ces ${objet}. Il dispose de $${texPrix(z)}$${sp()}€.<br> Combien peut-il en acheter${sp()}?<br>`\n  texte += '<br>' + enonceAMC2 + ajouteChampTexteMathLive(exo, i + 1, 'width25 inline', { texteApres: ' ' + objet })\n  texteCorr += `${numAlpha(1)} $${texPrix(z)}$${sp()}€, c'est ${texteEnCouleur(\n        stringNombre(z / x)\n    )} fois $${texPrix(x)}$${sp()}€.<br> Si avec $${texPrix(x)}$${sp()}€ on peut acheter ${texteEnCouleur(\n        n,\n        'blue'\n    )} ${objet}, alors avec ${texteEnCouleur(\n        stringNombre(z / x)\n    )} fois $${texPrix(x)}$${sp()}€, on peut acheter ${texteEnCouleur(\n        stringNombre(z / x)\n    )} fois ${texteEnCouleur(n, 'blue')} ${objet}.<br>`\n  texteCorr += `${texteEnCouleur(\n        stringNombre(z / x)\n    )} $\\\\times$ ${texteEnCouleur(n, 'blue')} = ${stringNombre(z * n / x)}<br>`\n  texteCorr += texteEnCouleurEtGras(`Conclusion: ${prenoms[1]} will be able to buy ${stringNombre(z * n / x)} ${objet}.`, 'black') + '<br>'\n  if (!context.isAmc) {\n    setReponse(exo, i, calculANePlusJamaisUtiliser(y * x / n, 2))\n    setReponse(exo, i + 1, calculANePlusJamaisUtiliser(z * n / x, 2))\n  } else {\n    exo.autoCorrection[i] = {\n      enonce: '',\n      enonceAvant: false,\n      options: { multicols: true, barreseparation: true },\n      propositions: [\n        {\n          type: 'AMCNum',\n          propositions: [{\n            texte: texteCorr,\n            statut: '',\n            reponse: {\n              texte: enonceAMC1,\n              valeur: [arrondi(y * x / n, 2)],\n              param: {\n                digits: nombreDeChiffresDe(arrondi(y * x / n, 2)),\n                decimals: nombreDeChiffresDansLaPartieDecimale(arrondi(y * x / n, 2)),\n                signe: false,\n                approx: 0\n              }\n            }\n          }]\n        },\n        {\n          type: 'AMCNum',\n          propositions: [{\n            texte: '',\n            statut: '',\n            reponse: {\n              texte: enonceAMC2,\n              valeur: [arrondi(z * n / x, 0)],\n              param: {\n                digits: nombreDeChiffresDansLaPartieEntiere(z * n / x, 0),\n                decimals: 0,\n                signe: false,\n                approx: 0\n              }\n            }\n          }]\n        }\n      ]\n    }\n  }\n  return {\n    qtexte: texte,\n    qtexteCorr: texteCorr\n  }\n}\n\nfunction questionRecette (exo, i) { // questions avec des masses pour un nombre de personne dans des recettes correction : passage à l'unité\n  let texte, texteCorr\n  const liste = [ // liste des ingrédients avec différentes recettes associées et masses\n    {\n      ingredient: 'flour',\n      recettes: ['lemon cake', 'waffles', 'crepes', 'cake'],\n      quantites_par_pers: [20, 25, 30, 35, 40, 50] // A voir pour l'instant quantités 'simple'.\n    },\n    {\n      ingredient: 'sugar',\n      recettes: ['cake', 'chocolate mousse', 'French toast', 'milk rice'],\n      quantites_par_pers: [15, 20, 25, 30, 35]\n    },\n    {\n      ingredient: 'chocolate',\n      recettes: ['cake', 'chocolate mousse', 'flan', 'milk rice'],\n      quantites_par_pers: [10, 15, 20, 25, 30, 35]\n    },\n    {\n      ingredient: 'butter',\n      recettes: ['cake', 'chocolate mousse'],\n      quantites_par_pers: [10, 12, 15, 18]\n    }\n  ]\n  const nbPersonneInit = randint(2, 6) // nombre de personnes indiqué dans la recette.\n  const alea4 = randint(2, 5)\n  const nbPersonneFinal = nbPersonneInit * alea4 // nombre de personnes pour lequel on veut cuisiner\n  const alea1 = randint(0, 3) // pour le choix de l'ingredient\n  const alea2 = randint(0, liste[alea1].recettes.length - 1) // pour le choix de la recette\n  const alea3 = randint(0, liste[alea1].quantites_par_pers.length - 1) // pour le choix de la quantité par personne.\n  const quantite = calculANePlusJamaisUtiliser(liste[alea1].quantites_par_pers[alea3] * nbPersonneInit, 3) // Calcul de la quantité dans la recette à partir de la qtt/personne et du nb de personnes\n  const quantite2 = quantite * randint(2, 5, [alea4])\n  const quantiteReponse = calculANePlusJamaisUtiliser(liste[alea1].quantites_par_pers[alea3] * nbPersonneFinal, 3) // Pour la correction\n  const prenoms = [prenomF(), prenomM()] // Choix de prénoms pour l'énoncé\n  let enonceAMC1 = `${numAlpha(0)} ${prenoms[0]} reads on its ${liste[alea1].recettes[alea2]} recipe for ${nbPersonneInit} people that it takes ${quantite}${sp()}g of ${liste[alea1].ingredient}.` +\n        `She wants to adapt her recipe for ${nbPersonneFinal} people.`\n  texte = enonceAMC1\n  enonceAMC1 += `<br> What mass, en${sp()}g, of ${liste[alea1].ingredient} should predict${sp()}?`\n  texte += `<br> What mass of ${liste[alea1].ingredient} should ${sp()} be predicted?`\n  texte += ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: ' g' })\n  texteCorr = `${numAlpha(0)} ${nbPersonneFinal} people, it's ${texteEnCouleur(nbPersonneFinal / nbPersonneInit)} times ${nbPersonneInit} people.` +\n        `We therefore need ${texteEnCouleur(nbPersonneFinal / nbPersonneInit)} times more ${liste[alea1].ingredient}.<br>` +\n        `${quantite}${sp()}g $\\\\times $ ${texteEnCouleur(nbPersonneFinal / nbPersonneInit)} = ${quantiteReponse}${sp()}g. <br>` +\n        texteEnCouleurEtGras(`Conclusion: ${prenoms[0]} should use ${quantiteReponse}${sp()}g from ${liste[alea1].ingredient} for ${nbPersonneFinal} people.<br>`, 'black')\n  const enonceAMC2 = `${numAlpha(1)} ${prenoms[1]} utilise la même recette de ${liste[alea1].recettes[alea2]}. Il dispose de ${quantite2}${sp()}g de ${liste[alea1].ingredient}.\n  Pour combien de personnes au maximum peut-il cuisiner${sp()}?`\n  texte += '<br>' + enonceAMC2 + ajouteChampTexteMathLive(exo, i + 1, 'width25 inline', { texteApres: ' people' })\n  texteCorr += `${numAlpha(1)} ${quantite2}${sp()}g is ${texteEnCouleur(quantite2 / quantite)} times ${quantite}${sp()}g.` +\n        `${prenoms[1]} can therefore cook for ${texteEnCouleur(quantite2 / quantite)} times more people.<br>` +\n        `${nbPersonneInit}${sp()}g $\\\\times $ ${texteEnCouleur(quantite2 / quantite)} = ${nbPersonneInit * quantite2 / quantite}. <br>` +\n        texteEnCouleurEtGras(`Conclusion: ${prenoms[1]} can therefore prepare its recipe for ${nbPersonneInit * quantite2 / quantite} people.`, 'black')\n  if (!context.isAmc) {\n    setReponse(exo, i, quantiteReponse)\n    setReponse(exo, i + 1, calculANePlusJamaisUtiliser(nbPersonneInit * quantite2 / quantite, 3))\n  } else {\n    exo.autoCorrection[i] = {\n      enonce: '',\n      enonceAvant: false,\n      options: { multicols: true, barreseparation: true },\n      propositions: [\n        {\n          type: 'AMCNum',\n          propositions: [{\n            texte: texteCorr,\n            statut: '',\n            reponse: {\n              texte: enonceAMC1,\n              valeur: [quantiteReponse],\n              param: {\n                digits: nombreDeChiffresDe(quantiteReponse),\n                decimals: nombreDeChiffresDansLaPartieDecimale(quantiteReponse),\n                signe: false,\n                approx: 0\n              }\n            }\n          }]\n        },\n        {\n          type: 'AMCNum',\n          propositions: [{\n            texte: '',\n            statut: '',\n            reponse: {\n              texte: enonceAMC2,\n              valeur: [calculANePlusJamaisUtiliser(nbPersonneInit * quantite2 / quantite, 3)],\n              param: {\n                digits: nombreDeChiffresDansLaPartieEntiere(nbPersonneInit * quantite2 / quantite),\n                decimals: 0,\n                signe: false,\n                approx: 0\n              }\n            }\n          }]\n        }\n      ]\n    }\n  }\n  return {\n    qtexte: texte,\n    qtexteCorr: texteCorr\n  }\n}\n\nfunction questionDillution (exo, i) { // questions de mélange de volumes\n  let uniteSolvantVolumeFinal\n  const liste = [\n    {\n      solute: 'syrup',\n      volumeUnitaire: [12, 15, 18, 20],\n      unite_solute: 'cL',\n      unite_solvant: ['L', 'L'] // liste pour [0] singulier [1] pluriel\n    },\n    {\n      solute: 'floor cleaner',\n      volumeUnitaire: [5, 8, 10, 12],\n      unite_solute: 'cL',\n      unite_solvant: ['L', 'L']\n    },\n    {\n      solute: 'medicine',\n      volumeUnitaire: [3, 3.5, 4, 4.5, 5, 7.5],\n      unite_solute: 'mL',\n      unite_solvant: ['dL', 'dL']\n    },\n    {\n      solute: 'swimming pool product',\n      volumeUnitaire: [1, 1.2, 0.8, 1.5],\n      unite_solute: 'L',\n      unite_solvant: ['ten cubic meters', 'tens of cubic meters']\n    }\n  ]\n  const alea1 = randint(0, 3) // pour le choix du soluté\n  const alea2 = randint(0, liste[alea1].volumeUnitaire.length - 1) // pour le choix du volume pour une unité de solvant\n  let volumeInitial, quantite\n  if (versionSimplifiee) {\n    volumeInitial = couplePremiersEntreEux[indexN][0]\n    quantite = couplePremiersEntreEux[indexN][1]\n  } else {\n    volumeInitial = randint(1, 5) + (randint(1, 5)) * 0.1 * randint(-1, 1, [0]) // volume d'eau pour la préparation\n    quantite = liste[alea1].volumeUnitaire[alea2] * volumeInitial\n  }\n  const volumeFinal = volumeInitial * randint(2, 5)\n  if (volumeFinal < 2) {\n    uniteSolvantVolumeFinal = liste[alea1].unite_solvant[0]\n  } else {\n    uniteSolvantVolumeFinal = liste[alea1].unite_solvant[1]\n  }\n  const volumeFinalAff = stringNombre(volumeFinal) // pour affichage avec bon séparateur.\n  const volumeInitialAff = stringNombre(volumeInitial) // pour affichage avec bon séparateur.\n  let enonceAMC = `It is indicated on the ${liste[alea1].solute} bottle that it is necessary` +\n        ` ${stringNombre(quantite)}${sp()}${liste[alea1].unite_solute} of ${liste[alea1].solute} for $${volumeInitialAff}$`\n  enonceAMC += volumeInitialAff < 2 ? `Water ${liste[alea1].unite_solvant[0]}.<br>` : `Water ${liste[alea1].unite_solvant[1]}.<br>`\n  enonceAMC += `We want to use $${volumeFinalAff}$ ${uniteSolvantVolumeFinal} of water.`\n  let texte = enonceAMC\n  enonceAMC += `What volume, in ${sp()}${liste[alea1].unite_solute}, of ${liste[alea1].solute} should we predict${sp()}?`\n  texte += `How much ${liste[alea1].solute} should we predict?`\n  texte += ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: ' ' + liste[alea1].unite_solute })\n  const texteCorr = `The volume of ${sp()} is proportional to the volume of water. <br>` +\n        ` ${liste[alea1].solute} ${texteEnCouleur(volumeFinalAff)} of water is ${uniteSolvantVolumeFinal} times ${texteEnCouleur(stringNombre(volumeFinal / volumeInitial))} ${volumeInitialAff} of water. <br>` +\n        `We therefore need ${liste[alea1].unite_solvant[0]} times more than ${texteEnCouleur(stringNombre(volumeFinal / volumeInitial))}${texteEnCouleur(stringNombre(quantite), 'blue')}${sp()} of ${liste[alea1].unite_solute}. <br>` +\n        `${texteEnCouleur(stringNombre(quantite), 'blue')}${sp()}${liste[alea1].unite_solute} $\\\\times $ ${texteEnCouleur(stringNombre(volumeFinal / volumeInitial))} = ${stringNombre(quantite * volumeFinal / volumeInitial)}${sp()}${liste[alea1].unite_solute}  <br>\n        ${texteEnCouleurEtGras(`Conclusion: We must therefore predict ${liste[alea1].solute}${stringNombre(quantite * volumeFinal / volumeInitial)}${sp()} of ${liste[alea1].unite_solute}.`, 'black')}`\n  if (!context.isAmc) {\n    setReponse(exo, i, calculANePlusJamaisUtiliser(quantite * volumeFinal / volumeInitial, 3))\n  } else {\n    exo.autoCorrection[i] = {\n      enonce: '',\n      enonceAvant: false,\n      // options: { multicols: true, barseparation: true },\n      propositions: [\n        {\n          type: 'AMCNum',\n          propositions: [{\n            texte: texteCorr,\n            statut: '',\n            reponse: {\n              texte: enonceAMC,\n              valeur: [calculANePlusJamaisUtiliser(quantite * volumeFinal / volumeInitial, 3)],\n              param: {\n                digits: nombreDeChiffresDe(calculANePlusJamaisUtiliser(quantite * volumeFinal / volumeInitial)),\n                decimals: nombreDeChiffresDansLaPartieDecimale(calculANePlusJamaisUtiliser(quantite * volumeFinal / volumeInitial, 3)),\n                signe: false,\n                approx: 0\n              }\n            }\n          }]\n        }\n      ]\n    }\n  }\n  return {\n    qtexte: texte,\n    qtexteCorr: texteCorr\n  }\n}\n\nfunction questionDistance (exo, i) { // questions de distance parcourue à une vitesse moyenne donnée\n  let texte, texteCorr\n  const liste = [ // liste des 'means of transport' et vitesses associées\n    {\n      locomotion: 'pedestrian',\n      vitesse: [3, 3.5, 4, 4.5]\n    },\n    {\n      locomotion: 'cyclist',\n      vitesse: [12, 15, 16, 17, 18, 20, 22]\n    },\n    {\n      locomotion: 'truck',\n      vitesse: [75, 77.5, 80, 82.5, 85]\n    },\n    {\n      locomotion: 'train',\n      vitesse: [125, 150, 175, 185, 195]\n    }\n  ]\n  const alea1 = randint(0, 3) // pour le choix de locomotion\n  const duree = [{\n    temps: '15 minutes',\n    rapport: 0.25\n  },\n  {\n    temps: '30 minutes',\n    rapport: 0.5\n  },\n  {\n    temps: '45 minutes',\n    rapport: 0.75\n  },\n  {\n    temps: '1 hour and a half',\n    rapport: 1.5\n  },\n  {\n    temps: '2 hours',\n    rapport: 2\n  },\n  {\n    temps: '2 and a half hours',\n    rapport: 2.5\n  },\n  {\n    temps: '3 hours',\n    rapport: 3\n  }]\n  if (versionSimplifiee) {\n    const alea1 = randint(0, 3) // pour le choix de locomotion\n    let dureeQ, distance\n    if (alea1 === 0) { // Si piéton\n      const indice = randint(0, 3)\n      dureeQ = couplePremiersEntreEux[indice][0]\n      distance = couplePremiersEntreEux[indice][1] * (couplePremiersEntreEux[indice][0] + 1)\n    } else {\n      dureeQ = couplePremiersEntreEux[indexN][0]\n      distance = couplePremiersEntreEux[indexN][1] * 2 * alea1 * alea1 * (couplePremiersEntreEux[indexN][0] + 1)\n    }\n    const dureeR = dureeQ * randint(2, 5)\n    let enonceAMC = `A ${liste[alea1].solute} travels on average ${liste[alea1].locomotion}${stringNombre(distance)}km in ${sp()} hours.`\n    texte = enonceAMC\n    enonceAMC += `<br> What distance, in ${dureeQ}km, will he travel, at the same speed in ${sp()} hours${dureeR}?`\n    texte += `<br> What distance will he travel, at the same speed in ${sp()} hours${dureeR}?` + ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: ' km' })\n    texteCorr = `${sp()} hours is ${texteEnCouleur(dureeR)} times ${texteEnCouleur(dureeR / dureeQ)} hours.<br>` +\n            `The ${dureeQ} will therefore cover ${liste[alea1].locomotion} times more distance than in ${texteEnCouleur(dureeR / dureeQ)} hours.<br>` +\n            `${stringNombre(distance)}${sp()}km $\\\\times $ ${texteEnCouleur(dureeR / dureeQ)} = ${stringNombre(distance * dureeR / dureeQ)}${sp()}km.<br>\n    ${texteEnCouleurEtGras(`Conclusion: The ${dureeQ} will travel ${liste[alea1].locomotion}${stringNombre(distance * dureeR / dureeQ)}km at the same speed in ${sp()} hours.`, 'black')}`\n    if (!context.isAmc) {\n      setReponse(exo, i, calculANePlusJamaisUtiliser(distance * dureeR / dureeQ, 3))\n    } else {\n      exo.autoCorrection[i] = {\n        enonce: '',\n        enonceAvant: false,\n        propositions: [\n          {\n            type: 'AMCNum',\n            propositions: [{\n              texte: texteCorr,\n              statut: '',\n              reponse: {\n                texte,\n                valeur: [calculANePlusJamaisUtiliser(distance * dureeR / dureeQ)],\n                param: {\n                  digits: nombreDeChiffresDe(calculANePlusJamaisUtiliser(distance * dureeR / dureeQ, 3)),\n                  decimals: nombreDeChiffresDansLaPartieDecimale(calculANePlusJamaisUtiliser(distance * dureeR / dureeQ, 3)),\n                  signe: false,\n                  approx: 0\n                }\n              }\n            }]\n          }\n        ]\n      }\n    }\n  } else {\n    const alea2 = randint(0, liste[alea1].vitesse.length - 1) // pour le choix du temps passé\n    const rapportQuestion2 = [0.25, 0.5, 0.75, 1.25, 1.5, 2]\n    let alea3 = randint(0, rapportQuestion2.length - 1)\n    while (duree[alea2].rapport === rapportQuestion2[alea3]) {\n      alea3 = randint(0, rapportQuestion2.length - 1)\n    }\n    const reponseQ1 = calculANePlusJamaisUtiliser(duree[alea2].rapport * liste[alea1].vitesse[alea2], 3)\n    const distance = stringNombre(calculANePlusJamaisUtiliser(rapportQuestion2[alea3] * liste[alea1].vitesse[alea2])) // pour question 2\n    let enonceAMC1 = `${numAlpha(0)} A ${liste[alea1].locomotion} covers on average ${stringNombre(liste[alea1].vitesse[alea2])}${sp()}km in one hour.<br>`\n    texte = enonceAMC1\n    enonceAMC1 += `What distance, in ${sp()}km, will he travel, at the same speed, in ${duree[alea2].temps}${sp()}?`\n    texte += `How far will he travel, at the same speed, in ${duree[alea2].temps}${sp()}?`\n    texte += ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: ' km' })\n    texteCorr = `${numAlpha(0)} ${duree[alea2].temps} is ${texteEnCouleur(stringNombre(duree[alea2].rapport))} times an hour.<br>` +\n            `In one hour, the ${liste[alea1].locomotion} travels ${texteEnCouleur(stringNombre(liste[alea1].vitesse[alea2], 'blue'))}${sp()}km so in ${duree[alea2].temps}, it will travel ${texteEnCouleur(stringNombre(duree[alea2].rapport))} times ${texteEnCouleur(stringNombre(liste[alea1].vitesse[alea2], 'blue'))}${sp()}km. <br>` +\n            `${texteEnCouleur(stringNombre(duree[alea2].rapport))} $\\\\times$ ${texteEnCouleur(stringNombre(liste[alea1].vitesse[alea2], 'blue'))}${sp()}km = ${stringNombre(reponseQ1)}${sp()}km <br>` +\n            texteEnCouleurEtGras(` Conclusion: The ${liste[alea1].locomotion} will therefore travel ${stringNombre(reponseQ1)}${sp()}km.`, 'black') + '<br>'\n    const enonceAMC2 = `${numAlpha(1)} How long, in minutes, will it take to travel ${distance}${sp()}km at this same speed${sp()}?`\n    texte += `<br> ${numAlpha(1)} How long will it take to travel ${distance}${sp()}km at this same speed${sp()}?` + ajouteChampTexteMathLive(exo, i + 1, 'width25 inline', { texteApres: ' minutes' })\n    texteCorr += `${numAlpha(1)} ${distance}${sp()}km, c'est ${texteEnCouleur(stringNombre(rapportQuestion2[alea3]))} fois ${stringNombre(liste[alea1].vitesse[alea2])}${sp()}km.\n      Le ${liste[alea1].locomotion} parcourt ${stringNombre(liste[alea1].vitesse[alea2])}${sp()}km en une heure. <br>` +\n            `It will therefore take ${texteEnCouleur(stringNombre(rapportQuestion2[alea3]))} times an hour to travel ${distance}${sp()}km. <br>` +\n            texteEnCouleurEtGras(`Conclusion: The ${liste[alea1].locomotion} will therefore take ${stringNombre(rapportQuestion2[alea3])} hour${rapportQuestion2[alea3] >= 2 ? 's' : ''} to travel ${distance}${sp()}km, which makes ${calculANePlusJamaisUtiliser(rapportQuestion2[alea3] * 60, 0)} minutes (${stringNombre(rapportQuestion2[alea3])} $\\\\times$ 60 minutes).`, 'black')\n    if (!context.isAmc) {\n      setReponse(exo, i, reponseQ1)\n      setReponse(exo, i + 1, calculANePlusJamaisUtiliser(rapportQuestion2[alea3] * 60, 2))\n    } else {\n      exo.autoCorrection[i] = {\n        enonce: '',\n        enonceAvant: false,\n        options: { multicols: true, barreseparation: true },\n        propositions: [\n          {\n            type: 'AMCNum',\n            propositions: [{\n              texte: texteCorr,\n              statut: '',\n              reponse: {\n                texte: enonceAMC1,\n                valeur: [reponseQ1],\n                param: {\n                  digits: nombreDeChiffresDe(reponseQ1),\n                  decimals: nombreDeChiffresDansLaPartieDecimale(reponseQ1),\n                  signe: false,\n                  approx: 0\n                }\n              }\n            }]\n          },\n          {\n            type: 'AMCNum',\n            propositions: [{\n              texte: '',\n              statut: '',\n              reponse: {\n                texte: enonceAMC2,\n                valeur: [calculANePlusJamaisUtiliser(rapportQuestion2[alea3] * 60, 2)],\n                param: {\n                  digits: nombreDeChiffresDe(calculANePlusJamaisUtiliser(rapportQuestion2[alea3] * 60, 2)),\n                  decimals: nombreDeChiffresDansLaPartieDecimale(calculANePlusJamaisUtiliser(rapportQuestion2[alea3] * 60, 2)),\n                  signe: false,\n                  approx: 0\n                }\n              }\n            }]\n          }\n        ]\n      }\n    }\n  }\n  return {\n    qtexte: texte,\n    qtexteCorr: texteCorr\n  }\n}\n\nfunction questionEchelle (exo, i) { // X cm sur une carte correspond à x km dans la réalité...\n  let texte, texteCorr\n  const distanceCarte = couplePremiersEntreEux[indexN][0] // Choix d'un nombre de cm sur la carte\n  const distanceReel = couplePremiersEntreEux[indexN][1] // Choix d'a number of km in reality (we avoid'avoir 1cm pour 1km)\n  const rapport = [0.25, 0.5, 0.75, 1.25, 1.5, 2, 3, 4, 5] // rapport entre la référence et la question (rapports simples car niveau 6eme)\n  const alea1 = randint(0, rapport.length - 1)\n  const alea2 = randint(0, rapport.length - 1, [alea1])\n  if (versionSimplifiee) {\n    rapport[alea1] = randint(2, 5)\n    rapport[alea2] = randint(2, 5, [rapport[alea1]])\n  }\n  const distanceCarte2 = stringNombre(calculANePlusJamaisUtiliser(rapport[alea1] * distanceCarte, 2))\n  const distanceReelQ2 = stringNombre(calculANePlusJamaisUtiliser(rapport[alea2] * distanceReel, 2))\n  const prenoms = [prenomF(), prenomM()]\n  texte = `${numAlpha(0)} Sur une carte sur laquelle ${distanceCarte} cm représente ${distanceReel}${sp()}km dans la réalité,\n${prenoms[0]} mesure son trajet et elle trouve une distance de ${distanceCarte2} cm. <br>`\n  const enonceAMC1 = texte + `How far, en${sp()}km, does this correspond to in reality${sp()}?`\n  texte += `How far does this correspond in reality to ${sp()}?` + ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: ' km' })\n  texteCorr = `${numAlpha(0)} ${distanceCarte2} cm, c'est ${texteEnCouleur(stringNombre(rapport[alea1]))} fois ${distanceCarte} cm. <br>\nDans la réalité, ${distanceCarte} cm correspond à ${texteEnCouleur(distanceReel, 'blue')}${sp()}km donc` +\n        `  ${distanceCarte2} cm will correspond to ${texteEnCouleur(stringNombre(rapport[alea1]))} times ${texteEnCouleur(distanceReel, 'blue')}${sp()}km. <br>` +\n        `${texteEnCouleur(stringNombre(rapport[alea1]))} $\\\\times$ ${texteEnCouleur(distanceReel, 'blue')}${sp()}km = ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea1] * distanceReel, 2))}${sp()}km <br>` +\n        texteEnCouleurEtGras(`Conclusion: The ${prenoms[0]} path is ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea1] * distanceReel, 2))}${sp()}km.`, 'black') + '<br>'\n  let enonceAMC2 = `${numAlpha(1)} Two cities are ${distanceReelQ2}${sp()}km apart.`\n  texte += '<br>' + enonceAMC2\n  enonceAMC2 += `What distance, in cm, will we measure on the map between these two cities${sp()}?`\n  texte += `What distance will we measure on the map between these two cities${sp()}?` + ajouteChampTexteMathLive(exo, i + 1, 'width25 inline', { texteApres: ' cm' })\n  texteCorr += `${numAlpha(1)} ${distanceReelQ2}${sp()}km, c'est ${texteEnCouleur(stringNombre(rapport[alea2]))} fois ${distanceReel}${sp()}km.\nOr ${distanceReel}${sp()}km est représenté par ${texteEnCouleur(distanceCarte, 'blue')} cm sur la carte. <br>` +\n        `So ${distanceReelQ2}${sp()}km is represented by ${texteEnCouleur(stringNombre(rapport[alea2]))} times ${texteEnCouleur(distanceCarte, 'blue')} cm on the map. <br>` +\n        `${texteEnCouleur(stringNombre(rapport[alea2]))} $\\\\times$ ${texteEnCouleur(distanceCarte, 'blue')} cm = ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea2] * distanceCarte, 2))} cm <br>` +\n        texteEnCouleurEtGras(`Conclusion: The two cities are separated by ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea2] * distanceCarte, 2))} cm on the map.`, 'black')\n  if (!context.isAmc) {\n    setReponse(exo, i, calculANePlusJamaisUtiliser(rapport[alea1] * distanceReel, 2))\n    setReponse(exo, i + 1, calculANePlusJamaisUtiliser(rapport[alea2] * distanceCarte, 2))\n  } else {\n    exo.autoCorrection[i] = {\n      enonce: '',\n      enonceAvant: false,\n      options: { multicols: true, barreseparation: true },\n      propositions: [\n        {\n          type: 'AMCNum',\n          propositions: [{\n            texte: texteCorr,\n            statut: '',\n            reponse: {\n              texte: enonceAMC1,\n              valeur: [calculANePlusJamaisUtiliser(rapport[alea1] * distanceReel, 2)],\n              param: {\n                digits: nombreDeChiffresDe(calculANePlusJamaisUtiliser(rapport[alea1] * distanceReel, 2)),\n                decimals: nombreDeChiffresDansLaPartieDecimale(calculANePlusJamaisUtiliser(rapport[alea1] * distanceReel, 2)),\n                signe: false,\n                approx: 0\n              }\n            }\n          }]\n        },\n        {\n          type: 'AMCNum',\n          propositions: [{\n            texte: '',\n            statut: '',\n            reponse: {\n              texte: enonceAMC2,\n              valeur: [calculANePlusJamaisUtiliser(rapport[alea2] * distanceCarte, 2)],\n              param: {\n                digits: nombreDeChiffresDe(calculANePlusJamaisUtiliser(rapport[alea2] * distanceCarte, 2)),\n                decimals: nombreDeChiffresDansLaPartieDecimale(calculANePlusJamaisUtiliser(rapport[alea2] * distanceCarte, 2)),\n                signe: false,\n                approx: 0\n              }\n            }\n          }]\n        }\n      ]\n    }\n  }\n  return {\n    qtexte: texte,\n    qtexteCorr: texteCorr\n  }\n}\n\nfunction questionRecouvrirSurface (exo, i) { // peinture, gazon, carrelage pour une surface donnée.\n  let texte, texteCorr\n  const liste = [\n    {\n      matiere: 'paint',\n      unite: 'L',\n      qtt_matiere_unitaire: [0.5, 1, 1.5, 2], // quantité au m²\n      qtt_surface: [10, 25, 15] // nombre de m² indiqués sur l'emballage\n    },\n    {\n      matiere: 'grass',\n      unite: 'kg',\n      qtt_matiere_unitaire: [2.5, 3, 5, 10],\n      qtt_surface: [200, 175, 150]\n    },\n    {\n      matiere: 'tiles',\n      unite: 'tiles',\n      qtt_matiere_unitaire: [24, 40, 60, 100],\n      qtt_surface: [10, 20, 5]\n    }\n  ]\n  const prenoms = [prenomF(), prenomM()]\n  if (versionSimplifiee) {\n    const alea1 = 2 // Pour avoir un coef entier, qtt_matiere_unitaire doit être plus grand que qtt_surface, ce qui n'is possible that'avec les carreaux\n    const quantiteD = couplePremiersEntreEux[indexN][1]\n    const surfaceD = couplePremiersEntreEux[indexN][0]\n    const coef = randint(2, 5)\n    const quantiteF = calculANePlusJamaisUtiliser(quantiteD * coef, 3)\n    const surfaceF = calculANePlusJamaisUtiliser(surfaceD * coef, 3)\n    const enonceAMC = `${prenoms[0]} must buy ${liste[alea1].matiere}.` +\n            `On the instructions, it is indicated to provide ${quantiteD}${sp()}${liste[alea1].unite} for ${surfaceD}${sp()}m${texteExposant(2)}. <br>` +\n            `How many ${sp()}${liste[alea1].unite} should she buy for an area of ${surfaceF}${sp()}m${texteExposant(2)}${sp()}?`\n    texte = enonceAMC + ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: ' ' + liste[alea1].unite })\n    texteCorr = `${stringNombre(surfaceF)}${sp()}m${texteExposant(2)} is ${texteEnCouleur(coef)} times ${surfaceD}${sp()}m${texteExposant(2)} <br>` +\n            `We will therefore need ${texteEnCouleur(coef)} times ${texteEnCouleur(quantiteD, 'blue')}${sp()}${liste[alea1].unite} for ${stringNombre(surfaceF)}${sp()}m${texteExposant(2)} <br>` +\n            `${texteEnCouleur(coef)} $\\\\times$ ${texteEnCouleur(quantiteD, 'blue')}${sp()}${liste[alea1].unite} = ${stringNombre(quantiteF)}${sp()}${liste[alea1].unite}<br>` +\n            texteEnCouleurEtGras(`Conclusion: ${prenoms[0]} must buy ${quantiteF}${sp()}${liste[alea1].unite}.`, 'black') + '<br>'\n    if (!context.isAmc) {\n      setReponse(exo, i, quantiteF)\n    } else {\n      exo.autoCorrection[i] = {\n        enonce: '',\n        enonceAvant: false,\n        propositions: [\n          {\n            type: 'AMCNum',\n            propositions: [{\n              texte: texteCorr,\n              statut: '',\n              reponse: {\n                texte: enonceAMC,\n                valeur: [quantiteF],\n                param: {\n                  digits: nombreDeChiffresDe(quantiteF),\n                  decimals: nombreDeChiffresDansLaPartieDecimale(quantiteF),\n                  signe: false,\n                  approx: 0\n                }\n              }\n            }]\n          }\n        ]\n      }\n    }\n  } else {\n    const alea1 = randint(0, liste.length - 1)\n    const alea2 = randint(0, liste[alea1].qtt_matiere_unitaire.length - 1)\n    const alea3 = randint(0, liste[alea1].qtt_surface.length - 1)\n    const rapport = [0.25, 0.5, 0.75, 1.25, 1.5, 2, 3, 4, 5] // choix parmi des rapports simples (en 6eme cela paraît suffisant)\n    const quantite = liste[alea1].qtt_matiere_unitaire[alea2]\n    const alea4 = randint(0, rapport.length - 1)\n    const surfaceFinale = calculANePlusJamaisUtiliser(rapport[alea4] * liste[alea1].qtt_surface[alea3], 3)\n    const alea5 = randint(0, rapport.length - 1, [alea4])\n    const quantite2 = calculANePlusJamaisUtiliser(rapport[alea5] * liste[alea1].qtt_matiere_unitaire[alea2], 3)\n    const alea6 = randint(-2, 2, [0])\n    const surfaceFinale2 = calculANePlusJamaisUtiliser(rapport[alea5] * liste[alea1].qtt_surface[alea3] + alea6, 3)\n    const qttaffichage = stringNombre(quantite) // Pour affichage avec virgule en séparateur.\n    const enonceAMC1 = `${numAlpha(0)} ${prenoms[0]} must buy ${liste[alea1].matiere}.` +\n            `On the instructions, it is indicated to provide ${qttaffichage}${sp()}${liste[alea1].unite} for ${liste[alea1].qtt_surface[alea3]}${sp()}m${texteExposant(2)}. <br>` +\n            `How many ${sp()}${liste[alea1].unite} should she buy for an area of ${stringNombre(surfaceFinale)}${sp()}m${texteExposant(2)}${sp()}?`\n    texte = enonceAMC1 + ajouteChampTexteMathLive(exo, i, 'width25 inline', { texteApres: ' ' + liste[alea1].unite })\n    texteCorr = `${numAlpha(0)} ${stringNombre(surfaceFinale)}${sp()}m${texteExposant(2)} is ${texteEnCouleur(stringNombre(rapport[alea4]))} times ${liste[alea1].qtt_surface[alea3]}${sp()}m${texteExposant(2)}. <br>` +\n            `We will therefore need ${texteEnCouleur(stringNombre(rapport[alea4]))} times ${texteEnCouleur(qttaffichage, 'blue')}${sp()}${liste[alea1].unite} for ${stringNombre(surfaceFinale)}${sp()}m${texteExposant(2)}. <br>` +\n            `${texteEnCouleur(stringNombre(rapport[alea4]))} $\\\\times$ ${texteEnCouleur(qttaffichage, 'blue')}${sp()}${liste[alea1].unite} = ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea4] * quantite, 3))}${sp()}${liste[alea1].unite}<br>` +\n            texteEnCouleurEtGras(`Conclusion: ${prenoms[0]} must buy ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea4] * quantite, 3))}${sp()}${liste[alea1].unite}.`, 'black') + '<br>'\n    const enonceAMC2 = `${numAlpha(1)} ${prenoms[1]} bought ${liste[alea1].matiere}. He still has ${stringNombre(quantite2)}${sp()}${liste[alea1].unite}. On the instructions, it is also indicated to provide ${qttaffichage}${sp()}${liste[alea1].unite} for ${stringNombre(liste[alea1].qtt_surface[alea3])}${sp()}m${texteExposant(2)}. <br>` +\n            `Does he have enough for the area of ${stringNombre(surfaceFinale2)}${sp()}m${texteExposant(2)} that he still needs to make${sp()}?<br>`\n    texte += '<br>' + enonceAMC2 + ajouteChampTexteMathLive(exo, i + 1, 'width25 inline', { texteApres: ' (Yes or no)' })\n    texteCorr += `${numAlpha(1)} ${stringNombre(quantite2)}${sp()}${liste[alea1].unite} is ${texteEnCouleur(stringNombre(rapport[alea5]))} times ${qttaffichage}${sp()}${liste[alea1].unite}. <br>` +\n            `Avec ${stringNombre(quantite2)}${sp()}${liste[alea1].unite} on peut donc traiter une surface de ${texteEnCouleur(stringNombre(rapport[alea5]))}\nfois ${texteEnCouleur(stringNombre(liste[alea1].qtt_surface[alea3]), 'blue')}${sp()}m${texteExposant(2)}. <br>` +\n            `${texteEnCouleur(stringNombre(rapport[alea5]))} $\\\\times$ ${texteEnCouleur(stringNombre(liste[alea1].qtt_surface[alea3]), 'blue')}${sp()}m${texteExposant(2)} = ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea5] * liste[alea1].qtt_surface[alea3], 3))}${sp()}m${texteExposant(2)}<br>`\n    texteCorr += rapport[alea5] * liste[alea1].qtt_surface[alea3] < surfaceFinale2\n      ? texteEnCouleurEtGras(`Conclusion: ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea5] * liste[alea1].qtt_surface[alea3], 3))}${sp()}m${texteExposant(2)} < ${stringNombre(surfaceFinale2)}${sp()}m${texteExposant(2)} therefore ${prenoms[1]} has enough for ${surfaceFinale2}${sp()}m${texteExposant(2)}.`, 'black') + ' <br>'\n      : texteEnCouleurEtGras(`Conclusion: ${stringNombre(calculANePlusJamaisUtiliser(rapport[alea5] * liste[alea1].qtt_surface[alea3], 3))}${sp()}m${texteExposant(2)} > ${stringNombre(surfaceFinale2)}${sp()}m${texteExposant(2)} therefore ${prenoms[1]} does not have enough for ${surfaceFinale2}${sp()}m${texteExposant(2)}.`, 'black') + ' <br>'\n\n    if (!context.isAmc) {\n      setReponse(exo, i, calculANePlusJamaisUtiliser(rapport[alea4] * quantite, 3))\n      setReponse(exo, i + 1, calculANePlusJamaisUtiliser(rapport[alea5] * liste[alea1].qtt_surface[alea3], 3) > surfaceFinale2 ? 'Yes' : 'No')\n    } else {\n      exo.autoCorrection[i] = {\n        enonce: '',\n        enonceAvant: false,\n        propositions: [\n          {\n            type: 'AMCNum',\n            propositions: [{\n              texte: texteCorr,\n              statut: '',\n              reponse: {\n                texte: enonceAMC1,\n                valeur: [calculANePlusJamaisUtiliser(rapport[alea4] * quantite, 3)],\n                param: {\n                  digits: nombreDeChiffresDe(calculANePlusJamaisUtiliser(rapport[alea4] * quantite, 3)),\n                  decimals: nombreDeChiffresDansLaPartieDecimale(calculANePlusJamaisUtiliser(rapport[alea4] * quantite, 3)),\n                  signe: false,\n                  approx: 0\n                }\n              }\n            }]\n          },\n          {\n            type: 'AMCOpen',\n            propositions: [{\n              enonce: enonceAMC2,\n              statut: 2\n            }]\n          }\n        ]\n      }\n    }\n  }\n  return {\n    qtexte: texte,\n    qtexteCorr: texteCorr\n  }\n}\n\n// _______ End of functions corresponding to problem situations _____\n\nexport const uuid = 'f7a14'\nexport const ref = '6P11'\nexport default function ProportionnaliteParLinearite () {\n  let question\n  Exercice.call(this) // Héritage de la classe Exercice()\n  context.isHtml ? 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'Answer the question asked with justification.' : 'Answer the questions asked with reasons.'\n    }\n    let indiceQuestion = 0\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    this.autoCorrection = []\n    /*\n        let listeIndexSituationsDisponible = []\n\n        if (!this.sup2) { // Si aucune liste n'est saisie\n          listeIndexSituationsDisponible = rangeMinMax(1, 6)\n        } else {\n          if (typeof (this.sup2) === 'number') { // Si c'is a number, the number was entered in the address bar\n            listeIndexSituationsDisponible[0] = contraindreValeur(1, 7, this.sup2, 7)\n          } else {\n            listeIndexSituationsDisponible = this.sup2.split('-')// Sinon on créé un tableau à partir des valeurs séparées par des -\n            for (let i = 0; i < listeIndexSituationsDisponible.length; i++) { // on a un tableau avec des strings : ['1', '5', '2','toto','45']\n              listeIndexSituationsDisponible[i] = contraindreValeur(1, 7, parseInt(listeIndexSituationsDisponible[i]), 7) // parseInt en fait un tableau d'entiers\n            }\n          }\n        }\n        if (compteOccurences(listeIndexSituationsDisponible, 7) > 0) listeIndexSituationsDisponible = rangeMinMax(1, 6) // Teste si l'utilisateur a choisi tout\n        const listeIndexSituations = combinaisonListes(listeIndexSituationsDisponible, this.nbQuestions) // permet de ne pas avoir 2 fois la même situation si - de questions que de situations\n        */\n\n    const listeIndexSituations = gestionnaireFormulaireTexte({\n      max: 6,\n      defaut: 7,\n      melange: 7,\n      nbQuestions: this.nbQuestions,\n      saisie: this.sup2\n    })\n\n    for (let i = 0, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      indexN = randint(0, couplePremiersEntreEux.length - 1)\n      if (this.sup) {\n        versionSimplifiee = true\n      } else {\n        versionSimplifiee = false\n      }\n      switch (parseInt(listeIndexSituations[i])) {\n        case 1:\n          question = questionAchat(this, indiceQuestion)\n          if (!context.isAmc) {\n            indiceQuestion += 2\n          } else {\n            indiceQuestion++\n          }\n          break\n        case 2:\n          question = questionRecette(this, indiceQuestion)\n          if (!context.isAmc) {\n            indiceQuestion += 2\n          } else {\n            indiceQuestion++\n          }\n          break\n        case 3:\n          question = questionDillution(this, indiceQuestion)\n          indiceQuestion++\n          break\n        case 4:\n          question = questionDistance(this, indiceQuestion)\n          if (versionSimplifiee) {\n            indiceQuestion++\n          } else {\n            if (!context.isAmc) {\n              indiceQuestion += 2\n            } else {\n              indiceQuestion++\n            }\n          }\n          break\n        case 5:\n          question = questionEchelle(this, indiceQuestion)\n          if (!context.isAmc) {\n            indiceQuestion += 2\n          } else {\n            indiceQuestion++\n          }\n          break\n        case 6:\n          question = questionRecouvrirSurface(this, indiceQuestion)\n          if (versionSimplifiee) {\n            indiceQuestion++\n          } else {\n            if (!context.isAmc) {\n              indiceQuestion += 2\n            } else {\n              indiceQuestion++\n            }\n          }\n          break\n      }\n      if (this.listeQuestions.indexOf(question.qtexte) === -1) { // Si la question n'a jamais été posée, on la garde.\n        this.listeQuestions.push(question.qtexte)\n        this.listeCorrections.push(question.qtexteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this) // Espacement de 2 em entre chaque questions.\n  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