{"id":1012,"date":"2026-03-24T11:32:57","date_gmt":"2026-03-24T10:32:57","guid":{"rendered":"https:\/\/academy.studybuddy.se\/?p=1012"},"modified":"2026-04-14T11:50:52","modified_gmt":"2026-04-14T10:50:52","slug":"testa-dig-sjalv-matematik-1b","status":"publish","type":"post","link":"https:\/\/studybuddy.se\/en\/testa-dig-sjalv-matematik-1b\/","title":{"rendered":"Testa dig sj\u00e4lv \u2013 Matematik 1b"},"content":{"rendered":"<style>\n  *, *::before, *::after { box-sizing: border-box; margin: 0; padding: 0; }\n  .sb-test { max-width: 900px; margin: 0 auto; font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Arial, sans-serif; font-size: 0.95rem; color: #1a1a1a; padding: 16px; }\n  .sb-header { display: flex; justify-content: space-between; align-items: flex-start; margin-bottom: 16px; gap: 12px; flex-wrap: wrap; }\n  .sb-logo { background: #e63329; color: #fff; font-weight: 800; font-size: 1.2rem; padding: 6px 14px; border-radius: 4px; }\n  .sb-logo span { font-style: italic; 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cursor: pointer; font-size: 0.85rem; font-weight: 600; }\n  .sb-reset-btn { background: transparent; color: #888; border: 1px solid #ccc; padding: 8px 14px; border-radius: 4px; cursor: pointer; font-size: 0.82rem; }\n  .sb-progress-wrap { margin-bottom: 16px; }\n  .sb-progress-bar-bg { background: #eee; border-radius: 99px; height: 8px; }\n  .sb-progress-bar { background: #e63329; height: 8px; border-radius: 99px; width: 0%; transition: width 0.4s; }\n  .sb-progress-label { font-size: 0.78rem; color: #888; margin-top: 4px; text-align: right; }\n  @media (max-width: 600px) {\n    .sb-columns { grid-template-columns: 1fr; }\n    .sb-meta { grid-template-columns: 1fr; }\n    .sb-meta-field { border-right: none; border-bottom: 1px solid #ccc; }\n    .sb-meta-field:last-child { border-bottom: none; }\n    .sb-title-block { text-align: left; }\n    .sb-header { flex-direction: column; }\n    .sb-total { flex-direction: column; align-items: flex-end; }\n  }\n<\/style>\n<div class=\"sb-test\">\n<div class=\"sb-header\">\n<div class=\"sb-logo\"><span>Studybuddy\u00ae<\/span><\/div>\n<div class=\"sb-title-block\">\n<h1>Testa dig sj\u00e4lv \u2013 Matematik 1b <span class=\"sb-badge\">1b<\/span><\/h1>\n<p>Gymnasiet \u00b7 H\u00f6gskolef\u00f6rberedande (ekonomi\/samh\u00e4ll) \u00b7 Bredare inneh\u00e5ll \u00e4n 1a<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-meta\">\n<div class=\"sb-meta-field\"><label>Namn<\/label><input type=\"text\"><\/div>\n<div class=\"sb-meta-field\"><label>Klass<\/label><input type=\"text\"><\/div>\n<div class=\"sb-meta-field\"><label>Datum<\/label><input type=\"date\"><\/div>\n<\/p><\/div>\n<div class=\"sb-infobox\">Ma 1b riktar sig till ekonomi- och samh\u00e4llsprogram. Bredare \u00e4n 1a \u2013 inkluderar linj\u00e4ra funktioner, ekvationer och mer statistik. Ej lika djup som 1c.<\/div>\n<div class=\"sb-progress-wrap\">\n<div class=\"sb-progress-bar-bg\">\n<div class=\"sb-progress-bar\" id=\"progressBar\"><\/div>\n<\/div>\n<div class=\"sb-progress-label\" id=\"progressLabel\">0 av 11 fr\u00e5gor besvarade<\/div>\n<\/p><\/div>\n<div class=\"sb-columns\">\n<div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Tal &amp; procent<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">1<\/span><span>Ett l\u00e5n p\u00e5 50 000 kr har 4% r\u00e4nta per \u00e5r. Hur mycket \u00e4r r\u00e4ntan f\u00f6rsta \u00e5ret?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"1\" data-correct=\"2000|2 000\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-1\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">2<\/span><span>En aktie steg fr\u00e5n 120 kr till 156 kr. Hur m\u00e5nga procent steg den?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"2\" data-correct=\"30\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-2\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">3<\/span><span>Ber\u00e4kna med hj\u00e4lp av f\u00f6r\u00e4ndringsfaktor: ett pris \u00f6kar med 12%. Ursprungspris: 850 kr.<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"3\" data-correct=\"952\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-3\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Algebra &amp; ekvationer<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">4<\/span><span>L\u00f6s: 5x \u2212 3 = 2x + 9<\/span><\/div>\n<div class=\"sb-answer-row\"><label>x =<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"4\" data-correct=\"4\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-4\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">5<\/span><span>L\u00f6s ekvationssystemet: 3x + y = 11 &nbsp;|&nbsp; x \u2212 y = 1<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>x = <input type=\"text\" class=\"sb-ans\" data-q=\"5a\" data-correct=\"3\" placeholder=\"\"><\/span><br \/>\n            <span>y = <input type=\"text\" class=\"sb-ans\" data-q=\"5b\" data-correct=\"2\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-5\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">6<\/span><span>F\u00f6renkla: 3(2x \u2212 1) \u2212 2(x + 4)<\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"6\" data-correct=\"4x-11|4x \u2212 11\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-6\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Linj\u00e4ra funktioner<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">7<\/span><span>Ge lutning och y-sk\u00e4rning f\u00f6r y = \u22123x + 5. \u00c4r funktionen v\u00e4xande eller avtagande?<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>k = <input type=\"text\" class=\"sb-ans\" data-q=\"7a\" data-correct=\"-3\" placeholder=\"\"><\/span><br \/>\n            <span>m = <input type=\"text\" class=\"sb-ans\" data-q=\"7b\" data-correct=\"5\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-7\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">8<\/span><span>Tv\u00e5 linjer: y = 2x + 1 och y = \u2212x + 7. Var sk\u00e4r de varandra?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-double-answer\">\n            <span>x = <input type=\"text\" class=\"sb-ans\" data-q=\"8a\" data-correct=\"2\" placeholder=\"\"><\/span><br \/>\n            <span>y = <input type=\"text\" class=\"sb-ans\" data-q=\"8b\" data-correct=\"5\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-8\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Formelblad<\/div>\n<div class=\"sb-formulas\">\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">F\u00f6r\u00e4ndringsfaktor<\/div>\n<p>\u00f6kning: 1+p\/100<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Linj\u00e4r funktion<\/div>\n<p>y = kx + m<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Pythagoras<\/div>\n<p>a\u00b2+b\u00b2=c\u00b2<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Cirkel<\/div>\n<p>A=\u03c0r\u00b2 | O=2\u03c0r<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Medelv\u00e4rde<\/div>\n<p>\u03a3x \/ n<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Procent<\/div>\n<p>del\/helhet\u00d7100<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Geometri<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">9<\/span><span>En cirkel har diameter 10 cm. Ber\u00e4kna area och omkrets.<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-double-answer\">\n            <span>A = <input type=\"text\" class=\"sb-ans\" data-q=\"9a\" data-correct=\"78,5|78.5\" placeholder=\"\"><\/span><br \/>\n            <span>O = <input type=\"text\" class=\"sb-ans\" data-q=\"9b\" data-correct=\"31,4|31.4\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-9\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">10<\/span><span>Hypotenusan \u00e4r 13 cm, ena kateten \u00e4r 5 cm. Hur l\u00e5ng \u00e4r den andra kateten?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"10\" data-correct=\"12\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-10\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Statistik<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">11<\/span><span>Data: 5, 8, 3, 9, 7, 5, 6, 4. Ber\u00e4kna medelv\u00e4rde, median, typv\u00e4rde och variationsbredd.<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-double-answer\" style=\"flex-wrap:wrap;gap:8px;\">\n            <span>Mv: <input type=\"text\" class=\"sb-ans\" data-q=\"11a\" data-correct=\"5,875|5.875\" placeholder=\"\"><\/span><br \/>\n            <span>Med: <input type=\"text\" class=\"sb-ans\" data-q=\"11b\" data-correct=\"5,5|5.5\" placeholder=\"\"><\/span><br \/>\n            <span>Tv: <input type=\"text\" class=\"sb-ans\" data-q=\"11c\" data-correct=\"5\" placeholder=\"\"><\/span><br \/>\n            <span>Vb: <input type=\"text\" class=\"sb-ans\" data-q=\"11d\" data-correct=\"6\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-11\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-facit\">\n<div class=\"sb-facit-title\">Facit<\/div>\n<p>    <button class=\"sb-facit-toggle\" onclick=\"toggleFacit()\">Visa facit<\/button><\/p>\n<div class=\"sb-facit-content\" id=\"facitContent\">\n<div class=\"sb-facit-grid\">\n<div><strong>1.<\/strong> <span>2 000 kr<\/span><\/div>\n<div><strong>2.<\/strong> <span>30%<\/span><\/div>\n<div><strong>3.<\/strong> <span>952 kr<\/span><\/div>\n<div><strong>4.<\/strong> <span>x = 4<\/span><\/div>\n<div><strong>5.<\/strong> <span>x=3, y=2<\/span><\/div>\n<div><strong>6.<\/strong> <span>4x\u221211<\/span><\/div>\n<div><strong>7.<\/strong> <span>k=\u22123, m=5, avtagande<\/span><\/div>\n<div><strong>8.<\/strong> <span>x=2, y=5<\/span><\/div>\n<div><strong>9.<\/strong> <span>\u224878,5 cm\u00b2 | \u224831,4 cm<\/span><\/div>\n<div><strong>10.<\/strong> <span>12 cm<\/span><\/div>\n<div><strong>11.<\/strong> <span>5,875 | 5,5 | 5 | 6<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-grades\"><strong>Betygsgr\u00e4ns (riktlinje):<\/strong> E: 16p &nbsp;|&nbsp; C: 22p &nbsp;|&nbsp; A: 28p <em>(ej officiella gr\u00e4nser)<\/em><\/div>\n<div class=\"sb-total\">\n    <button class=\"sb-check-btn\" onclick=\"checkAll()\">R\u00e4tta mina svar<\/button><br \/>\n    <button class=\"sb-reset-btn\" onclick=\"resetAll()\">Nollst\u00e4ll<\/button><\/p>\n<div class=\"sb-total-box\">\n<div class=\"label\">Totalt<\/div>\n<div class=\"score\"><span id=\"scoreVal\">\u2013<\/span> \/ 33<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<p><script>\n  const pts = {'1':3,'2':3,'3':3,'4':3,'5a':1.5,'5b':1.5,'6':3,'7a':1.5,'7b':1.5,'8a':1.5,'8b':1.5,'9a':1.5,'9b':1.5,'10':3,'11a':0.75,'11b':0.75,'11c':0.75,'11d':0.75};\n  const groups = {'1':['1'],'2':['2'],'3':['3'],'4':['4'],'5':['5a','5b'],'6':['6'],'7':['7a','7b'],'8':['8a','8b'],'9':['9a','9b'],'10':['10'],'11':['11a','11b','11c','11d']};\n  const inputs = document.querySelectorAll('.sb-ans');\n  const filled = new Set();\n  inputs.forEach(inp => {\n    inp.addEventListener('input', () => {\n      const key = inp.dataset.q.replace(\/[abcd]$\/, '');\n      const siblings = document.querySelectorAll(`.sb-ans[data-q^=\"${key}\"]`);\n      if (Array.from(siblings).some(s => s.value.trim())) filled.add(key); 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