{"id":1014,"date":"2026-03-24T11:33:55","date_gmt":"2026-03-24T10:33:55","guid":{"rendered":"https:\/\/academy.studybuddy.se\/?p=1014"},"modified":"2026-04-14T11:50:04","modified_gmt":"2026-04-14T10:50:04","slug":"testa-dig-sjalv-matematik-1a","status":"publish","type":"post","link":"https:\/\/studybuddy.se\/en\/testa-dig-sjalv-matematik-1a\/","title":{"rendered":"Testa dig sj\u00e4lv \u2013 Matematik 1a"},"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; letter-spacing: -0.5px; }\n  .sb-logo span { font-style: italic; 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}\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 1a <span class=\"sb-badge\">1a<\/span><\/h1>\n<p>Gymnasiet \u00b7 Yrkesprogram \u00b7 Tal, algebra, geometri, statistik<\/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 1a riktar sig till yrkesprogram. Fokus p\u00e5 praktisk matematik, vardagsr\u00e4kning, procentr\u00e4kning och grundl\u00e4ggande geometri \u2013 utan komplexa algebraiska bevis.<\/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\">Taluppfattning &amp; vardagsr\u00e4kning<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">1<\/span><span>Du handlar f\u00f6r 348 kr och betalar med 500 kr. Hur mycket f\u00e5r du tillbaka?<\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"1\" data-correct=\"152\" 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 jacka kostar 899 kr. Den \u00e4r nedsatt med 30%. Vad \u00e4r priset efter rabatt?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Utrymme f\u00f6r ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"2\" data-correct=\"629,30|629.30|629,3\" 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>Omvandla: 2,5 timmar = ___ min &nbsp;|&nbsp; 3500 m = ___ km<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>min: <input type=\"text\" class=\"sb-ans\" data-q=\"3a\" data-correct=\"150\" placeholder=\"\"><\/span><br \/>\n            <span>km: <input type=\"text\" class=\"sb-ans\" data-q=\"3b\" data-correct=\"3,5|3.5\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-3\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">4<\/span><span>En bil f\u00f6rbrukar 0,8 dl bensin per km. Hur mycket \u00e5tg\u00e5r p\u00e5 15 mil?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Utrymme f\u00f6r ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"4\" data-correct=\"12\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-4\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Procent &amp; f\u00f6r\u00e4ndring<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">5<\/span><span>Ett f\u00f6retag hade 240 anst\u00e4llda. Nu \u00e4r de 300. Hur m\u00e5nga procent \u00f6kade det?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Utrymme f\u00f6r ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"5\" data-correct=\"25\" placeholder=\"\"><\/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>Moms \u00e4r 25%. En vara kostar 160 kr exkl. moms. Vad kostar den inkl. moms?<\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"6\" data-correct=\"200\" 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>72 av 180 elever cyklar till skolan. Hur stor andel \u00e4r det i procent?<\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"7\" data-correct=\"40\" 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\">Rektangel<\/div>\n<p>A = l \u00d7 b<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Triangel<\/div>\n<p>A = (b\u00d7h)\/2<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Cirkel<\/div>\n<p>A = \u03c0r\u00b2<\/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\">Procent<\/div>\n<p>del\/helhet \u00d7 100<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">F\u00f6r\u00e4ndring<\/div>\n<p>(ny\u2212gammal)\/gammal \u00d7 100<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Geometri &amp; m\u00e4tning<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">8<\/span><span>En rektangul\u00e4r tomt \u00e4r 25 m l\u00e5ng och 14 m bred. Ber\u00e4kna arean och omkretsen.<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Utrymme f\u00f6r ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-double-answer\">\n            <span>A = <input type=\"text\" class=\"sb-ans\" data-q=\"8a\" data-correct=\"350\" placeholder=\"\"><\/span><br \/>\n            <span>O = <input type=\"text\" class=\"sb-ans\" data-q=\"8b\" data-correct=\"78\" 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>En stege lutar mot en v\u00e4gg. Stegen \u00e4r 5 m l\u00e5ng och foten st\u00e5r 3 m fr\u00e5n v\u00e4ggen. Hur h\u00f6gt n\u00e5r stegen?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Utrymme f\u00f6r ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"9\" data-correct=\"4\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-9\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Statistik &amp; diagram<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">10<\/span><span>Fem personers l\u00f6ner (tkr): 22, 26, 24, 31, 22. Ber\u00e4kna medelv\u00e4rde och typv\u00e4rde.<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>Mv: <input type=\"text\" class=\"sb-ans\" data-q=\"10a\" data-correct=\"25\" placeholder=\"\"><\/span><br \/>\n            <span>Tv: <input type=\"text\" class=\"sb-ans\" data-q=\"10b\" data-correct=\"22\" placeholder=\"\"><\/span>\n          <\/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>I ett cirkeldiagram utg\u00f6r &#8221;mat&#8221; 40% och &#8221;n\u00f6je&#8221; 25%. Hur stor \u00e4r resterande del i grader?<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Utrymme f\u00f6r ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"11\" data-correct=\"126\" placeholder=\"\"><\/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>152 kr<\/span><\/div>\n<div><strong>2.<\/strong> <span>629,30 kr<\/span><\/div>\n<div><strong>3.<\/strong> <span>150 min | 3,5 km<\/span><\/div>\n<div><strong>4.<\/strong> <span>12 dl<\/span><\/div>\n<div><strong>5.<\/strong> <span>25%<\/span><\/div>\n<div><strong>6.<\/strong> <span>200 kr<\/span><\/div>\n<div><strong>7.<\/strong> <span>40%<\/span><\/div>\n<div><strong>8.<\/strong> <span>350 m\u00b2 | 78 m<\/span><\/div>\n<div><strong>9.<\/strong> <span>4 m<\/span><\/div>\n<div><strong>10.<\/strong> <span>25 | 22<\/span><\/div>\n<div><strong>11.<\/strong> <span>126\u00b0<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-grades\">\n    <strong>Betygsgr\u00e4ns (riktlinje):<\/strong> E: 16p &nbsp;|&nbsp; C: 22p &nbsp;|&nbsp; A: 28p <em>(ej officiella gr\u00e4nser)<\/em>\n  <\/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  \/\/ Points per question (3p each = 33 total, q3 and q8 and q10 split 3p as 1.5+1.5)\n  const pts = { '1':3,'2':3,'3a':1.5,'3b':1.5,'4':3,'5':3,'6':3,'7':3,'8a':1.5,'8b':1.5,'9':3,'10a':1.5,'10b':1.5,'11':3 };\n  \/\/ Question groups for feedback\n  const groups = { '1':['1'],'2':['2'],'3':['3a','3b'],'4':['4'],'5':['5'],'6':['6'],'7':['7'],'8':['8a','8b'],'9':['9'],'10':['10a','10b'],'11':['11'] };<\/p>\n<p>  const inputs = document.querySelectorAll('.sb-ans');\n  const filled = new Set();<\/p>\n<p>  inputs.forEach(inp => {\n    inp.addEventListener('input', () => {\n      const key = inp.dataset.q.replace(\/[ab]$\/, '');\n      const siblings = document.querySelectorAll(`.sb-ans[data-q^=\"${key}\"]`);\n      const anyFilled = Array.from(siblings).some(s => s.value.trim());\n      if (anyFilled) filled.add(key); else filled.delete(key);\n      updateProgress();\n    });\n  });<\/p>\n<p>  function normalize(val) {\n    return val.trim().toLowerCase().replace(\/\\s\/g,'').replace(\/kr$|%$|m$|dl$|min$|km$|\u00b0$\/,'').replace(',','.');\n  }<\/p>\n<p>  function isCorrect(inp) {\n    const correct = inp.dataset.correct;\n    const answers = correct.split('|').map(a => normalize(a));\n    return answers.includes(normalize(inp.value));\n  }<\/p>\n<p>  function checkAll() {\n    let total = 0;\n    inputs.forEach(inp => {\n      if (!inp.value.trim()) return;\n      if (isCorrect(inp)) {\n        inp.classList.add('correct'); inp.classList.remove('wrong');\n        total += pts[inp.dataset.q] || 0;\n      } else {\n        inp.classList.add('wrong'); inp.classList.remove('correct');\n      }\n    });<\/p>\n<p>    \/\/ Feedback per group\n    Object.entries(groups).forEach(([g, qs]) => {\n      const fb = document.getElementById('fb-' + g);\n      if (!fb) return;\n      const answered = qs.filter(q => document.querySelector(`.sb-ans[data-q=\"${q}\"]`)?.value.trim());\n      if (!answered.length) { fb.textContent = ''; return; }\n      const allCorrect = qs.every(q => {\n        const el = document.querySelector(`.sb-ans[data-q=\"${q}\"]`);\n        return el && el.value.trim() && isCorrect(el);\n      });\n      const anyCorrect = qs.some(q => {\n        const el = document.querySelector(`.sb-ans[data-q=\"${q}\"]`);\n        return el && el.value.trim() && isCorrect(el);\n      });\n      if (allCorrect) { fb.textContent = '\u2713 R\u00e4tt!'; fb.className = 'sb-feedback ok'; }\n      else if (anyCorrect) { fb.textContent = '\u25b3 Delvis r\u00e4tt'; fb.className = 'sb-feedback no'; }\n      else { fb.textContent = '\u2717 Fel svar'; fb.className = 'sb-feedback no'; }\n    });<\/p>\n<p>    document.getElementById('scoreVal').textContent = total % 1 === 0 ? total : total.toFixed(1);\n  }<\/p>\n<p>  function resetAll() {\n    inputs.forEach(inp => { inp.value = ''; inp.classList.remove('correct','wrong'); });\n    document.querySelectorAll('.sb-feedback').forEach(f => { f.textContent = ''; f.className = 'sb-feedback'; });\n    document.getElementById('scoreVal').textContent = '\u2013';\n    filled.clear(); updateProgress();\n  }<\/p>\n<p>  function updateProgress() {\n    const total = 11;\n    const done = filled.size;\n    document.getElementById('progressBar').style.width = Math.round(done\/total*100) + '%';\n    document.getElementById('progressLabel').textContent = done + ' av ' + total + ' fr\u00e5gor besvarade';\n  }<\/p>\n<p>  function toggleFacit() {\n    const el = document.getElementById('facitContent');\n    const btn = document.querySelector('.sb-facit-toggle');\n    el.classList.toggle('visible');\n    btn.textContent = el.classList.contains('visible') ? 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Fokus p\u00e5 praktisk matematik, vardagsr\u00e4kning, procentr\u00e4kning och grundl\u00e4ggande geometri \u2013 utan komplexa algebraiska bevis. 0 av 11 fr\u00e5gor besvarade Taluppfattning &amp; vardagsr\u00e4kning 1Du handlar f\u00f6r 348 kr och betalar med [&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-1014","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 1a | 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 1a - 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