{"id":1010,"date":"2026-03-24T11:30:16","date_gmt":"2026-03-24T10:30:16","guid":{"rendered":"https:\/\/academy.studybuddy.se\/?p=1010"},"modified":"2026-04-14T11:51:11","modified_gmt":"2026-04-14T10:51:11","slug":"testa-dig-sjalv-matematik-2b","status":"publish","type":"post","link":"https:\/\/studybuddy.se\/en\/testa-dig-sjalv-matematik-2b\/","title":{"rendered":"Testa dig sj\u00e4lv \u2013 Matematik 2b"},"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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}\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 2b <span class=\"sb-badge\">2b<\/span><\/h1>\n<p>Gymnasiet \u00b7 Ekonomi\/samh\u00e4llsprogram \u00b7 Bygger p\u00e5 Ma 1b<\/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 2b bygger p\u00e5 1b. Tillkommer: andragradsfunktioner, exponentialfunktioner, f\u00f6rdjupad statistik med normalf\u00f6rdelning och mer om sannolikhet.<\/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\">Andragradsfunktioner<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">1<\/span><span>Best\u00e4m nollst\u00e4llena f\u00f6r f(x) = x\u00b2 \u2212 x \u2212 6.<\/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=\"1a\" data-correct=\"-2\" placeholder=\"\"><\/span><br \/>\n            <span>x = <input type=\"text\" class=\"sb-ans\" data-q=\"1b\" data-correct=\"3\" placeholder=\"\"><\/span>\n          <\/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>Ange symmetriaxel och toppunkt f\u00f6r f(x) = x\u00b2 \u2212 4x + 1.<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-double-answer\">\n            <span>Sym: x = <input type=\"text\" class=\"sb-ans\" data-q=\"2a\" data-correct=\"2\" placeholder=\"\"><\/span><br \/>\n            <span>Topp: <input type=\"text\" class=\"sb-ans\" data-q=\"2b\" data-correct=\"(2,-3)\" placeholder=\"\"><\/span>\n          <\/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>L\u00f6s: x\u00b2 \u2212 3x = 0<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>x = <input type=\"text\" class=\"sb-ans\" data-q=\"3a\" data-correct=\"0\" placeholder=\"\"><\/span><br \/>\n            <span>x = <input type=\"text\" class=\"sb-ans\" data-q=\"3b\" data-correct=\"3\" placeholder=\"\"><\/span>\n          <\/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\">Exponentialfunktioner<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">4<\/span><span>En befolkning p\u00e5 5 000 v\u00e4xer med 2% per \u00e5r. Hur stor \u00e4r den efter 10 \u00e5r?<\/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=\"4\" data-correct=\"6095|\u22486095|6 095\" 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>Vilket \u00e4r startsv\u00e4rdet och tillv\u00e4xtfaktorn f\u00f6r f(x) = 3 \u00b7 1,5\u02e3?<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>Start: <input type=\"text\" class=\"sb-ans\" data-q=\"5a\" data-correct=\"3\" placeholder=\"\"><\/span><br \/>\n            <span>Faktor: <input type=\"text\" class=\"sb-ans\" data-q=\"5b\" data-correct=\"1,5|1.5\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-5\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Algebra<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">6<\/span><span>Faktorisera fullst\u00e4ndigt: 2x\u00b2 + 6x<\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"6\" data-correct=\"2x(x+3)\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-6\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">7<\/span><span>L\u00f6s olikheten: x\u00b2 \u2212 4 &lt; 0. Ange l\u00f6sningen som ett intervall.<\/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=\"7\" data-correct=\"-2<x<2|(-2,2)\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-7\"><\/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\">PQ-formeln<\/div>\n<p>x=\u2212p\/2\u00b1\u221a((p\/2)\u00b2\u2212q)<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Toppunkt parabel<\/div>\n<p>x=\u2212b\/2a<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Exponential<\/div>\n<p>f(x)=a\u00b7b\u02e3<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">R\u00e4nta p\u00e5 r\u00e4nta<\/div>\n<p>K\u00b7(1+r)\u207f<\/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\">Std.avvikelse<\/div>\n<p>s=\u221a(\u03a3(x\u2212x\u0304)\u00b2\/n)<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Statistik &amp; sannolikhet<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">8<\/span><span>Data: 2, 4, 4, 6, 8, 10. Ber\u00e4kna medelv\u00e4rde och standardavvikelse.<\/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\u0304 = <input type=\"text\" class=\"sb-ans\" data-q=\"8a\" data-correct=\"5,67|5.67\" placeholder=\"\"><\/span><br \/>\n            <span>s = <input type=\"text\" class=\"sb-ans\" data-q=\"8b\" data-correct=\"2,49|2.49\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-8\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">9<\/span><span>P(A) = 0,4 och P(B) = 0,3. A och B \u00e4r oberoende. Ber\u00e4kna P(A och B).<\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"9\" data-correct=\"0,12|0.12|12%\" placeholder=\"\"><\/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>En normalf\u00f6rdelad variabel har \u03bc = 50 och \u03c3 = 10. Vilket intervall t\u00e4cker 68% av v\u00e4rdena?<\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"10\" data-correct=\"[40,60]|40-60|40 till 60\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-10\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">11<\/span><span>Visa att summan av tv\u00e5 p\u00e5 varandra f\u00f6ljande heltal alltid \u00e4r udda. (Skriv ett kort algebraiskt bevis.)<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"3\" placeholder=\"Skriv ditt bevis h\u00e4r...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Facit:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"11\" data-correct=\"n+(n+1)=2n+1\" placeholder=\"t.ex. n+(n+1)=...\"><\/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>x=\u22122, x=3<\/span><\/div>\n<div><strong>2.<\/strong> <span>x=2, (2,\u22123)<\/span><\/div>\n<div><strong>3.<\/strong> <span>x=0, x=3<\/span><\/div>\n<div><strong>4.<\/strong> <span>\u22486 095<\/span><\/div>\n<div><strong>5.<\/strong> <span>3 | 1,5<\/span><\/div>\n<div><strong>6.<\/strong> <span>2x(x+3)<\/span><\/div>\n<div><strong>7.<\/strong> <span>\u22122&lt;x&lt;2<\/span><\/div>\n<div><strong>8.<\/strong> <span>x\u0304\u22485,67 | s\u22482,49<\/span><\/div>\n<div><strong>9.<\/strong> <span>0,12<\/span><\/div>\n<div><strong>10.<\/strong> <span>[40, 60]<\/span><\/div>\n<div><strong>11.<\/strong> <span>n+(n+1)=2n+1 (udda)<\/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={'1a':1.5,'1b':1.5,'2a':1.5,'2b':1.5,'3a':1.5,'3b':1.5,'4':3,'5a':1.5,'5b':1.5,'6':3,'7':3,'8a':1.5,'8b':1.5,'9':3,'10':3,'11':3};\n  const groups={'1':['1a','1b'],'2':['2a','2b'],'3':['3a','3b'],'4':['4'],'5':['5a','5b'],'6':['6'],'7':['7'],'8':['8a','8b'],'9':['9'],'10':['10'],'11':['11']};\n  const inputs=document.querySelectorAll('.sb-ans');const filled=new Set();\n  inputs.forEach(inp=>{inp.addEventListener('input',()=>{const key=inp.dataset.q.replace(\/[ab]$\/,'');const sib=document.querySelectorAll(`.sb-ans[data-q^=\"${key}\"]`);if(Array.from(sib).some(s=>s.value.trim()))filled.add(key);else filled.delete(key);updateProgress();});});\n  function normalize(v){return v.trim().toLowerCase().replace(\/\\s\/g,'').replace(\/kr$|%$\/,'').replace(',','.');}\n  function isCorrect(inp){return inp.dataset.correct.split('|').map(a=>normalize(a)).includes(normalize(inp.value));}\n  function checkAll(){let total=0;inputs.forEach(inp=>{if(!inp.value.trim())return;if(isCorrect(inp)){inp.classList.add('correct');inp.classList.remove('wrong');total+=pts[inp.dataset.q]||0;}else{inp.classList.add('wrong');inp.classList.remove('correct');}});Object.entries(groups).forEach(([g,qs])=>{const fb=document.getElementById('fb-'+g);if(!fb)return;const ans=qs.filter(q=>document.querySelector(`.sb-ans[data-q=\"${q}\"]`)?.value.trim());if(!ans.length){fb.textContent='';return;}const allOk=qs.every(q=>{const el=document.querySelector(`.sb-ans[data-q=\"${q}\"]`);return el&&el.value.trim()&&isCorrect(el);});const anyOk=qs.some(q=>{const el=document.querySelector(`.sb-ans[data-q=\"${q}\"]`);return el&&el.value.trim()&&isCorrect(el);});if(allOk){fb.textContent='\u2713 R\u00e4tt!';fb.className='sb-feedback ok';}else if(anyOk){fb.textContent='\u25b3 Delvis r\u00e4tt';fb.className='sb-feedback no';}else{fb.textContent='\u2717 Fel svar';fb.className='sb-feedback no';}});document.getElementById('scoreVal').textContent=total%1===0?total:total.toFixed(1);}\n  function resetAll(){inputs.forEach(i=>{i.value='';i.classList.remove('correct','wrong');});document.querySelectorAll('.sb-feedback').forEach(f=>{f.textContent='';f.className='sb-feedback';});document.getElementById('scoreVal').textContent='\u2013';filled.clear();updateProgress();}\n  function updateProgress(){const d=filled.size,t=11;document.getElementById('progressBar').style.width=Math.round(d\/t*100)+'%';document.getElementById('progressLabel').textContent=d+' av '+t+' fr\u00e5gor besvarade';}\n  function toggleFacit(){const el=document.getElementById('facitContent'),btn=document.querySelector('.sb-facit-toggle');el.classList.toggle('visible');btn.textContent=el.classList.contains('visible')?'D\u00f6lj facit':'Visa facit';}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Studybuddy\u00ae Testa dig sj\u00e4lv \u2013 Matematik 2b 2b Gymnasiet \u00b7 Ekonomi\/samh\u00e4llsprogram \u00b7 Bygger p\u00e5 Ma 1b Namn Klass Datum Ma 2b bygger p\u00e5 1b. Tillkommer: andragradsfunktioner, exponentialfunktioner, f\u00f6rdjupad statistik med normalf\u00f6rdelning och mer om sannolikhet. 0 av 11 fr\u00e5gor besvarade Andragradsfunktioner 1Best\u00e4m nollst\u00e4llena f\u00f6r f(x) = x\u00b2 \u2212 x \u2212 6. x = x = [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":59203,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[3000],"tags":[3001,3002],"class_list":["post-1010","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nationella-proven","tag-nationella-provet","tag-testa-dig-sjalv"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.3 (Yoast SEO v28.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Testa dig sj\u00e4lv \u2013 Matematik 2b | Studybuddy L\u00e4xhj\u00e4lp<\/title>\n<meta name=\"description\" content=\"F\u00f6rb\u00e4ttra dina matematiska f\u00e4rdigheter med Testa dig sj\u00e4lv \u2013Nationella provet Matematik 2b - Studybuddy Academy\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/academy.studybuddy.se\/nationella-proven\/testa-dig-sjalv-matematik-2b\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Testa dig sj\u00e4lv \u2013 Matematik 2b\" \/>\n<meta property=\"og:description\" content=\"Studybuddy\u00ae Testa dig sj\u00e4lv \u2013 Matematik 2b 2b Gymnasiet \u00b7 Ekonomi\/samh\u00e4llsprogram \u00b7 Bygger p\u00e5 Ma 1b Namn Klass Datum Ma 2b bygger p\u00e5 1b. 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