{"id":818,"date":"2026-01-25T10:27:37","date_gmt":"2026-01-25T10:27:37","guid":{"rendered":"https:\/\/bliv-klogere.dk\/?page_id=818"},"modified":"2026-02-05T16:13:36","modified_gmt":"2026-02-05T16:13:36","slug":"2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge","status":"publish","type":"page","link":"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/","title":{"rendered":"2. Vurdere og arbejde med forholdstal, br\u00f8k og procent i relevante sammenh\u00e6nge"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Indholdsfortegnelse<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#1_Rater_og_ratioer\" >1. Rater og ratio&#8217;er<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#Hvad_er_en_rate\" >Hvad er en rate?&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#Hvad_er_en_ratioforholdstal\" >Hvad er en ratio\/forholdstal)?&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#Forskel_pa_rate_og_ratioforholdstal\" >Forskel p\u00e5 rate og ratio\/forholdstal<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#Opgaver\" >Opgaver<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#21_Forholdstal_multiple_choice\" >2.1 Forholdstal multiple choice<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#22_Lidt_svaerere_opgaver_med_multiple_choice\" >2.2 Lidt sv\u00e6rere opgaver med multiple choice<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/#23_Flere_forholdstal\" >2.3 Flere forholdstal<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Rater_og_ratioer\"><\/span>1. Rater og ratio&#8217;er<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Hvad_er_en_rate\"><\/span><strong>Hvad er en rate?<\/strong>&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">En <strong>rate<\/strong> fort\u00e6ller, <em>hvor meget der er pr. enhed<\/em>.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Eksempler:<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>90 km\/t (kilometer pr. time)&nbsp;<\/li>\n\n\n\n<li>120 kr.\/time (kroner pr. time)&nbsp;<\/li>\n\n\n\n<li>8 liter\/minut (liter pr. minut)&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kendetegn:<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Der er n\u00e6sten altid ordet <strong>\u201cpr.\u201d<\/strong> med&nbsp;<\/li>\n\n\n\n<li>Enhederne er forskellige (fx km og timer)&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Eksempel 1<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En h\u00e5ndv\u00e6rker tjener <strong>180 kr. pr. time<\/strong>.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Hvor meget tjener han p\u00e5 5 timer?&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Udregning: 180 kr. \u00d7 5 = <strong>900 kr.<\/strong>&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Hvad_er_en_ratioforholdstal\"><\/span><strong>Hvad er en ratio\/forholdstal)?<\/strong>&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">En <strong>ratio<\/strong> eller <strong>forholdstal<\/strong> viser forholdet mellem to st\u00f8rrelser af <em>samme type<\/em>.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Eksempler:<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Forholdet mellem m\u00e6nd og kvinder&nbsp;<\/li>\n\n\n\n<li>Forholdet mellem saft og vand&nbsp;<\/li>\n\n\n\n<li>Forholdet mellem r\u00f8d og bl\u00e5 maling&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Ratio\/forholdstal skrives ofte som:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 : 3 (l\u00e6ses: 2 til 3), 1 : 2,  1 : 5 osv.<\/li>\n\n\n\n<li>Mange har nok blandet f.eks. saftevand i forholdet 1:4&nbsp;<\/li>\n\n\n\n<li>De bruges ogs\u00e5 i sandsynligheder som f.eks. odds&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Eksempel 2<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Der er <strong>2 piger for hver 3 drenge<\/strong> i en klasse.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ratio\/forholdstal: <strong>2 : 3<\/strong>&nbsp;<\/li>\n\n\n\n<li>I alt: 5 dele&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Hvis der er 20 elever:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>20 \u00f7 5 = 4&nbsp;<\/li>\n\n\n\n<li>Piger: 2 \u00d7 4 = <strong>8<\/strong>&nbsp;<\/li>\n\n\n\n<li>Drenge: 3 \u00d7 4 = <strong>12<\/strong>&nbsp;<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Forskel_pa_rate_og_ratioforholdstal\"><\/span>Forskel p\u00e5 rate og ratio\/forholdstal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Rate<\/strong><\/td><td><strong>Ratio\/forholdstal<\/strong><\/td><\/tr><tr><td>Pr enhed<\/td><td>Forhold mellem st\u00f8rrelser<\/td><\/tr><tr><td>Forskellige enheder<\/td><td>Samme type enhed<\/td><\/tr><tr><td>F.eks. km\/t<\/td><td>F.eks. 2:3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Sammenligning forholdstal, br\u00f8ker og procenter<\/strong>&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Forholdstal, br\u00f8ker og procenter er det samme&nbsp;<\/li>\n\n\n\n<li>Is\u00e6r br\u00f8ker ligner forholdstal meget&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Opgaver\"><\/span>Opgaver<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"21_Forholdstal_multiple_choice\"><\/span>2.1 Forholdstal multiple choice<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Inden du g\u00e5r i gang&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u00e5r du l\u00f8ser opgaverne, s\u00e5 lav f\u00f8rst et overslag p\u00e5 resultatet. Bagefter kan du regne efter. Svarene st\u00e5r nederst&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Forholdstal&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Forholdet mellem 12 og 18 er&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 1:2&nbsp;<\/li>\n\n\n\n<li>b) 2:3&nbsp;<\/li>\n\n\n\n<li>c) 3:4&nbsp;<\/li>\n\n\n\n<li>d) 4:5&nbsp;<\/li>\n\n\n\n<li>e) 1:3&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Drenge og piger&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et hold har 8 drenge og 12 piger. Forholdet drenge:piger er:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 1:1&nbsp;<\/li>\n\n\n\n<li>b) 2:3&nbsp;<\/li>\n\n\n\n<li>c) 3:2&nbsp;<\/li>\n\n\n\n<li>d) 1:2&nbsp;<\/li>\n\n\n\n<li>e) 2:5&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Saft og kraft&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hvis 5 liter saft blandes med 15 liter vand, hvad er forholdet saft:vand?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 1:2&nbsp;<\/li>\n\n\n\n<li>b) 1:3&nbsp;<\/li>\n\n\n\n<li>c) 1:4&nbsp;<\/li>\n\n\n\n<li>d) 2:3&nbsp;<\/li>\n\n\n\n<li>e) 3:1&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. K\u00f8nsfordeling&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et firma har 20 m\u00e6nd og 30 kvinder ansat. Hvilket udsagn passer bedst?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) Der er dobbelt s\u00e5 mange m\u00e6nd som kvinder&nbsp;<\/li>\n\n\n\n<li>b) Der er 2\/3 s\u00e5 mange m\u00e6nd som kvinder&nbsp;<\/li>\n\n\n\n<li>c) Der er 3\/2 s\u00e5 mange m\u00e6nd som kvinder&nbsp;<\/li>\n\n\n\n<li>d) Der er halvt s\u00e5 mange kvinder som m\u00e6nd&nbsp;<\/li>\n\n\n\n<li>e) Der er lige mange m\u00e6nd og kvinder&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>5. Opskrifter<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En opskrift bruger 250 g mel og 100 g sukker. Forholdet mel:sukker er:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 5:2&nbsp;<\/li>\n\n\n\n<li>b) 2:5&nbsp;<\/li>\n\n\n\n<li>c) 2:1&nbsp;<\/li>\n\n\n\n<li>d) 5:1&nbsp;<\/li>\n\n\n\n<li>e) 1:2&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>6. Stole i et klasselokale<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et klasselokale har 18 stole til venstre og 12 til h\u00f8jre. Forholdet venstre:h\u00f8jre er:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 2:3&nbsp;<\/li>\n\n\n\n<li>b) 3:2&nbsp;<\/li>\n\n\n\n<li>c) 3:4&nbsp;<\/li>\n\n\n\n<li>d) 4:3&nbsp;<\/li>\n\n\n\n<li>e) 5:3&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>7. K\u00f8rsel&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En bil k\u00f8rer 180 km p\u00e5 15 liter benzin. Hvor mange km k\u00f8rer bilen pr. liter?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 10&nbsp;<\/li>\n\n\n\n<li>b) 12&nbsp;<\/li>\n\n\n\n<li>c) 15&nbsp;<\/li>\n\n\n\n<li>d) 18&nbsp;<\/li>\n\n\n\n<li>e) 20&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>8. Tr\u00e6er&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et tr\u00e6 er 4 meter h\u00f8jt, og et andet er 10 meter h\u00f8jt. Forholdet sm\u00e5t:stort tr\u00e6 er:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 2:5&nbsp;<\/li>\n\n\n\n<li>b) 4:10&nbsp;<\/li>\n\n\n\n<li>c) 5:2&nbsp;<\/li>\n\n\n\n<li>d) 1:3&nbsp;<\/li>\n\n\n\n<li>e) 3:1&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>9. Masser af vand og t\u00e5lmod&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et vandbassin fyldes med 3 liter pr. minut. Hvor lang tid tager det at fylde 180 liter?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 50 min&nbsp;<\/li>\n\n\n\n<li>b) 55 min&nbsp;<\/li>\n\n\n\n<li>c) 60 min&nbsp;<\/li>\n\n\n\n<li>d) 65 min&nbsp;<\/li>\n\n\n\n<li>e) 70 min&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>10. K\u00f8nsfordeling igen&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et firma har ansatte fordelt med 40 % m\u00e6nd og 60 % kvinder. Hvilket forhold m\u00e6nd:kvinder passer bedst?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 2:3&nbsp;<\/li>\n\n\n\n<li>b) 3:2&nbsp;<\/li>\n\n\n\n<li>c) 1:2&nbsp;<\/li>\n\n\n\n<li>d) 2:1&nbsp;<\/li>\n\n\n\n<li>e) 3:1&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>11. Mobil modelbil<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En modelbil skaleres med forholdet 1:25. Hvis den originale bil er 4 meter lang, hvor lang er modellen?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 10 cm&nbsp;<\/li>\n\n\n\n<li>b) 12 cm&nbsp;<\/li>\n\n\n\n<li>c) 15 cm&nbsp;<\/li>\n\n\n\n<li>d) 16 cm&nbsp;<\/li>\n\n\n\n<li>e) 20 cm&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>12. Holdspillere&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et hold har 7 spillere med bl\u00e5 tr\u00f8jer og 5 spillere med r\u00f8de tr\u00f8jer. Hvilket udsagn passer bedst?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) Der er dobbelt s\u00e5 mange r\u00f8de som bl\u00e5&nbsp;<\/li>\n\n\n\n<li>b) Der er n\u00e6sten lige mange bl\u00e5 og r\u00f8de&nbsp;<\/li>\n\n\n\n<li>c) Der er 2\/3 s\u00e5 mange bl\u00e5 som r\u00f8de&nbsp;<\/li>\n\n\n\n<li>d) Der er 7\/5 gange s\u00e5 mange bl\u00e5 som r\u00f8de&nbsp;<\/li>\n\n\n\n<li>e) Der er tre gange s\u00e5 mange bl\u00e5 som r\u00f8de&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>13. Opskrifter&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En opskrift siger 200 g sm\u00f8r til 500 g mel. Hvilket forhold sm\u00f8r:mel passer?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 1:2&nbsp;<\/li>\n\n\n\n<li>b) 2:5&nbsp;<\/li>\n\n\n\n<li>c) 5:2&nbsp;<\/li>\n\n\n\n<li>d) 2:1&nbsp;<\/li>\n\n\n\n<li>e) 1:3&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>14. Tog&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et tog k\u00f8rer 180 km p\u00e5 3 timer. Hvilken hastighed i km\/t passer?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 50 km\/t&nbsp;<\/li>\n\n\n\n<li>b) 55 km\/t&nbsp;<\/li>\n\n\n\n<li>c) 60 km\/t&nbsp;<\/li>\n\n\n\n<li>d) 65 km\/t&nbsp;<\/li>\n\n\n\n<li>e) 70 km\/t&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>15. Sidste opgave, beklager \ud83d\ude42<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En klasse har 12 drenge og 18 piger. Hvilket udsagn passer bedst?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) Der er dobbelt s\u00e5 mange piger som drenge&nbsp;<\/li>\n\n\n\n<li>b) Der er 2:3 forhold drenge:piger&nbsp;<\/li>\n\n\n\n<li>c) Der er 3:2 forhold drenge:piger&nbsp;<\/li>\n\n\n\n<li>d) Der er lige mange drenge og piger&nbsp;<\/li>\n\n\n\n<li>e) Der er halvt s\u00e5 mange drenge som piger&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Svar<\/strong>: 1:b, 2 b\u00e5de a og b er rigtige, da 2\/5 er det samme som 4\/10, 3:b, 4:b, 5:a, 6:b, 7:b, 8:a, 9:c, 10:a, 11:c, 12:d, 13:b, 14:c, 15:b&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"22_Lidt_svaerere_opgaver_med_multiple_choice\"><\/span>2.2 Lidt sv\u00e6rere opgaver med multiple choice<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Svarene st\u00e5r nederst.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1. K\u00f8nsfordeling&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et firma har ansatte fordelt i forholdet m\u00e6nd:kvinder = 7:5. Hvis der er 84 m\u00e6nd, hvor mange kvinder er der?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 50&nbsp;<\/li>\n\n\n\n<li>b) 55&nbsp;<\/li>\n\n\n\n<li>c) 60&nbsp;<\/li>\n\n\n\n<li>d) 65&nbsp;<\/li>\n\n\n\n<li>e) 70&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Bland noget saft&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En blanding best\u00e5r af 3 dele saft og 5 dele vand. Hvis man har 2 liter saft, hvor meget vand skal tils\u00e6ttes for at bevare forholdet?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 3 L&nbsp;<\/li>\n\n\n\n<li>b) 3,5 L&nbsp;<\/li>\n\n\n\n<li>c) 4 L&nbsp;<\/li>\n\n\n\n<li>d) 4,5 L&nbsp;<\/li>\n\n\n\n<li>e) 5,3 L<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Flere drenge og piger&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et hold har 12 drenge og 18 piger. Holdet udvides med x drenge og y piger, s\u00e5 forholdet drenge:piger bliver 1:1. Hvad er det mindste antal drenge og piger, man kan tilf\u00f8je samlet?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 6 drenge, 0 piger&nbsp;<\/li>\n\n\n\n<li>b) 6 drenge, 6 piger&nbsp;<\/li>\n\n\n\n<li>c) 0 drenge, 6 piger&nbsp;<\/li>\n\n\n\n<li>d) 12 drenge, 6 piger&nbsp;<\/li>\n\n\n\n<li>e) 12 drenge, 0 piger&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. Ud og se med DSB&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Et tog k\u00f8rer fra by A til by B med forholdsm\u00e6ssig hastighed p\u00e5 120 km\/t i 2 timer og 80 km\/t i 3 timer. Hvad er den gennemsnitlige hastighed p\u00e5 hele turen?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 92 km\/t&nbsp;<\/li>\n\n\n\n<li>b) 96 km\/t&nbsp;<\/li>\n\n\n\n<li>c) 100 km\/t&nbsp;<\/li>\n\n\n\n<li>d) 104 km\/t&nbsp;<\/li>\n\n\n\n<li>e) 108 km\/t&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>5. Mindre sukker<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En opskrift bruger 200 g sukker til 500 g mel. Hvis man \u00f8nsker at lave dobbelt portion og samtidig reducere sukkeret med 10 %, hvor meget sukker skal bruges?&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) 350 g&nbsp;<\/li>\n\n\n\n<li>b) 360 g&nbsp;<\/li>\n\n\n\n<li>c) 370 g&nbsp;<\/li>\n\n\n\n<li>d) 380 g&nbsp;<\/li>\n\n\n\n<li>e) 400 g&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Svar<\/strong>&nbsp;1:c, 2:d, 3:a, 4:b, 5:b&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"23_Flere_forholdstal\"><\/span>2.3 Flere forholdstal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Indbyggere i Danmark&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Udfyld tabellerne: <\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Omr\u00e5de<\/strong>&nbsp;<\/td><td><strong>Indbyggertal<\/strong>&nbsp;<\/td><td><strong>Overslag p\u00e5 andel af Danmarks befolkning<\/strong>&nbsp;<\/td><td><strong>Andel i procent af Danmarks befolkning<\/strong>&nbsp;<\/td><td><strong>Chancen for at en dansker bor der<\/strong>&nbsp;<\/td><\/tr><tr><td>Danmark&nbsp;<\/td><td>6,0 mio&nbsp;<\/td><td>100%&nbsp;<\/td><td>100%&nbsp;<\/td><td>1:1&nbsp;<\/td><\/tr><tr><td>Jylland&nbsp;<\/td><td>2,64 mio&nbsp;<\/td><td>40%&nbsp;<\/td><td>&nbsp;44%<\/td><td>&nbsp;44 : 100 <br>eller 11 : 25<\/td><\/tr><tr><td>Sj\u00e6lland&nbsp;<\/td><td>2,65 mio&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>Fyn&nbsp;<\/td><td>0,47 mio&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Kommune<\/strong>&nbsp;<\/td><td><strong>Indbyggertal<\/strong>&nbsp;<\/td><td><strong>Overslag p\u00e5 andel af Danmarks befolkning<\/strong>&nbsp;<\/td><td><strong>Andel i procent af Danmarks befolkning<\/strong>&nbsp;<\/td><td><strong>Chancen for, at en dansker bor der<\/strong>&nbsp;<\/td><\/tr><tr><td>K\u00f8benhavn&nbsp;<\/td><td>667.009&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>Aarhus&nbsp;<\/td><td>373.383&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>Horsens&nbsp;<\/td><td>97.921&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>Overslag p\u00e5 andel af Danmarks befolkningfVejle&nbsp;<\/td><td>122.433&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>Hedensted&nbsp;<\/td><td>48.433&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>S\u00e5 hvad er chancen for, at din bedste ven\/venindes k\u00e6reste er fynbo?&nbsp;<\/li>\n\n\n\n<li>Hvad er chancen for, at din svigermor er K\u00f8benhavner&nbsp;<\/li>\n\n\n\n<li>Hvad er chancen for, at en tilf\u00e6ldig dansker bor i Hedensted Kommune&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Folketinget<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Der bor 6,0 mio indbyggere i Danmark. Vi antager, at 70% af befolkningen kan stemme til et valg. Der sidder 175 personer i Folketinget.&nbsp;&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Hvor mange stemmer kr\u00e6ver det for at f\u00e5 et mandat til at sidde i folketinget (teoretisk)&nbsp;<\/li>\n\n\n\n<li>Hvis alle med stemmeret i Hedensted stemmer p\u00e5 den samme kandidat (husk, at kun 70% af kommunens befolkning kan stemme)&nbsp;<\/li>\n\n\n\n<li>Hvad er chancen for, at en tilf\u00e6ldig person du m\u00f8der p\u00e5 gaden, er folketingsmedlem&nbsp;<\/li>\n\n\n\n<li>Gr\u00f8nland og F\u00e6r\u00f8erne har hver ca. 55.000 indbyggere. De har hver 2 mandater i Folketinget. Vi antager ogs\u00e5 her, at 70% af befolkningen kan stemme. Hvor mange stemmer kr\u00e6ver et mandat&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Spil meyer<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Du spiller meyer sammen med nogle venner. I meyer er der 2 terninger.&nbsp;Vurder sandsynligheden for, at &#8230;&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>At du sl\u00e5r 2 seksere&nbsp;<\/li>\n\n\n\n<li>At du sl\u00e5r lille meyer (1 og 3)&nbsp;<\/li>\n\n\n\n<li>At du sl\u00e5r meyer (1 og 2)&nbsp;<\/li>\n\n\n\n<li>At du sl\u00e5r mere 2 femmere&nbsp;<\/li>\n\n\n\n<li>At du sl\u00e5r 61 eller derover (dvs 6 + 1, 6 + 2 osv til 6. + 6 samt lille meyer og meyer)&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Pr\u00f8v nu at beregne dem. Det kan hj\u00e6lpe dig at udfylde nedenst\u00e5ende tabel og arbejde ud fra den. Tip. Hvis du har en terning, s\u00e5 er sandsynligheden for at sl\u00e5 en sekser lig med 1 : 6.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Terningkast<\/strong>&nbsp;<\/td><td><strong>1<\/strong>&nbsp;<\/td><td><strong>2<\/strong>&nbsp;<\/td><td><strong>3<\/strong>&nbsp;<\/td><td><strong>4<\/strong>&nbsp;<\/td><td><strong>5<\/strong>&nbsp;<\/td><td><strong>6<\/strong>&nbsp;<\/td><\/tr><tr><td><strong>1<\/strong>&nbsp;<\/td><td>Par 1&nbsp;<\/td><td>Meyer&nbsp;<\/td><td>Lille meyer&nbsp;<\/td><td>41&nbsp;<\/td><td>51&nbsp;<\/td><td>61&nbsp;<\/td><\/tr><tr><td><strong>2<\/strong>&nbsp;<\/td><td>Meyer&nbsp;<\/td><td>Par 2&nbsp;<\/td><td>32&nbsp;<\/td><td>42&nbsp;<\/td><td>52&nbsp;<\/td><td>62&nbsp;<\/td><\/tr><tr><td><strong>3<\/strong>&nbsp;<\/td><td>Lille meyer&nbsp;<\/td><td>32&nbsp;<\/td><td>Par 3&nbsp;<\/td><td>43&nbsp;<\/td><td>53&nbsp;<\/td><td>63&nbsp;<\/td><\/tr><tr><td><strong>4<\/strong>&nbsp;<\/td><td>41&nbsp;<\/td><td>42&nbsp;<\/td><td>43&nbsp;<\/td><td>Par 4&nbsp;<\/td><td>54&nbsp;<\/td><td>64&nbsp;<\/td><\/tr><tr><td><strong>5<\/strong>&nbsp;<\/td><td>51&nbsp;<\/td><td>52&nbsp;<\/td><td>53&nbsp;<\/td><td>54&nbsp;<\/td><td>Par 5&nbsp;<\/td><td>65&nbsp;<\/td><\/tr><tr><td><strong>6<\/strong>&nbsp;<\/td><td>61&nbsp;<\/td><td>62&nbsp;<\/td><td>63&nbsp;<\/td><td>64&nbsp;<\/td><td>65&nbsp;<\/td><td>Par 6&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. L\u00e6s kort (sv\u00e6r)<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"434\" height=\"437\" src=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-268.png\" alt=\"\" class=\"wp-image-831\" srcset=\"https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-268.png 434w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-268-298x300.png 298w, https:\/\/bliv-klogere.dk\/wp-content\/uploads\/2026\/01\/image-268-150x150.png 150w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Her er et kort over Odsherred, som ligger p\u00e5 Vestsj\u00e6lland.&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>P\u00e5 kortet st\u00e5r der 1:75.000. Forklar hvad det betyder&nbsp;<\/li>\n\n\n\n<li>Hvor langt vil 1 cm v\u00e6re p\u00e5 kortet&nbsp;<\/li>\n\n\n\n<li>Afstanden i luftlinje fra Holb\u00e6k (nederst th p\u00e5 kortet) og til Nyk\u00f8bing Sj\u00e6lland (\u00f8verst th p\u00e5 kortet) er ca. 30 km i luftlinje. Hvor langt skal det v\u00e6re p\u00e5 kortet?&nbsp;Vis udregningen<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/\">toppen af siden<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Rater og ratio&#8217;er Hvad er en rate?&nbsp; En rate fort\u00e6ller, hvor meget der er pr. enhed.&nbsp; Eksempler:&nbsp; Kendetegn:&nbsp; Eksempel 1&nbsp; En h\u00e5ndv\u00e6rker tjener 180 kr. pr. time.&nbsp; Udregning: 180 kr. \u00d7 5 = 900 kr.&nbsp; Hvad er en ratio\/forholdstal)?&nbsp; En ratio eller forholdstal viser forholdet mellem to st\u00f8rrelser af samme type.&nbsp; Eksempler:&nbsp; Ratio\/forholdstal skrives &hellip; <a href=\"https:\/\/bliv-klogere.dk\/index.php\/2-vurdere-og-arbejde-med-forholdstal-brok-og-procent-i-relevante-sammenhaenge\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">2. Vurdere og arbejde med forholdstal, br\u00f8k og procent i relevante sammenh\u00e6nge<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-818","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/818","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/comments?post=818"}],"version-history":[{"count":13,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/818\/revisions"}],"predecessor-version":[{"id":1377,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/818\/revisions\/1377"}],"wp:attachment":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/media?parent=818"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}