{"id":998,"date":"2026-03-24T11:22:26","date_gmt":"2026-03-24T10:22:26","guid":{"rendered":"https:\/\/academy.studybuddy.se\/?p=998"},"modified":"2026-04-14T11:52:23","modified_gmt":"2026-04-14T10:52:23","slug":"testa-dig-sjalv-matematik-2c","status":"publish","type":"post","link":"https:\/\/studybuddy.se\/en\/testa-dig-sjalv-matematik-2c\/","title":{"rendered":"Testa dig sj\u00e4lv \u2013 Matematik 2c"},"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 2c <span class=\"sb-badge\">2c<\/span><\/h1>\n<p>Gymnasiet \u00b7 Natur- &amp; teknikprogram \u00b7 Bygger p\u00e5 Ma 1c<\/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 2c bygger p\u00e5 1c f\u00f6r natur\/teknik. Tillkommer: trigonometri, logaritmer, f\u00f6rdjupad andragradsekvation, bevis och abstrakt algebraisk resonemang.<\/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 10 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\">Trigonometri<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">1<\/span><span>I en r\u00e4tvinklig triangel \u00e4r en katet 6 cm och hypotenusan 10 cm. Ber\u00e4kna sin, cos och tan f\u00f6r den minsta vinkeln.<\/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>sin= <input type=\"text\" class=\"sb-ans\" data-q=\"1a\" data-correct=\"3\/5|0,6|0.6\" placeholder=\"\"><\/span><br \/>\n            <span>cos= <input type=\"text\" class=\"sb-ans\" data-q=\"1b\" data-correct=\"4\/5|0,8|0.8\" placeholder=\"\"><\/span><br \/>\n            <span>tan= <input type=\"text\" class=\"sb-ans\" data-q=\"1c\" data-correct=\"3\/4|0,75|0.75\" 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>Ber\u00e4kna vinkeln \u03b1 om cos \u03b1 = 0,6 (avrunda till n\u00e4rmaste grad).<\/span><\/div>\n<div class=\"sb-answer-row\"><label>\u03b1 =<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"2\" data-correct=\"53|\u224853\" 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>En mast kastar en skugga p\u00e5 12 m. Solens vinkel \u00e4r 35\u00b0. Hur h\u00f6g \u00e4r masten? (tan 35\u00b0 = 0,70)<\/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=\"8,4|8.4|\u22488,4|\u22488.4\" 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\">Logaritmer<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">4<\/span><span>Ber\u00e4kna: log 1000 och log\u2082 32<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>log 1000 = <input type=\"text\" class=\"sb-ans\" data-q=\"4a\" data-correct=\"3\" placeholder=\"\"><\/span><br \/>\n            <span>log\u2082 32 = <input type=\"text\" class=\"sb-ans\" data-q=\"4b\" data-correct=\"5\" placeholder=\"\"><\/span>\n          <\/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: 3\u02e3 = 81<\/span><\/div>\n<div class=\"sb-answer-row\"><label>x =<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"5\" data-correct=\"4\" 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>En radioaktiv substans halveras var 5:e \u00e5r. Efter hur m\u00e5nga \u00e5r \u00e4r 80% borta? (Skriv ekvation och l\u00f6s med log.)<\/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=\"6\" data-correct=\"11,6|\u224811,6|\u224811.6|11.6\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-6\"><\/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\">Sin\/Cos\/Tan<\/div>\n<p>mot\/hyp, n\u00e4r\/hyp, mot\/n\u00e4r<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Logaritmlagar<\/div>\n<p>log(ab)=log a+log b<\/p><\/div>\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\">Konjugat<\/div>\n<p>(a+b)(a\u2212b)=a\u00b2\u2212b\u00b2<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Exp-ekvation<\/div>\n<p>a\u02e3=b \u2192 x=log b\/log a<\/p><\/div>\n<div class=\"sb-formula\">\n<div class=\"sb-formula-title\">Enhetscirkeln<\/div>\n<p>sin\u00b2x+cos\u00b2x=1<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Andragradanalys<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">7<\/span><span>Kvadratkomplettera: x\u00b2 + 6x + 2<\/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=\"(x+3)\u00b2-7|(x+3)^2-7\" placeholder=\"\"><\/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>Hur m\u00e5nga l\u00f6sningar har 2x\u00b2 \u2212 4x + 5 = 0? Motivera med diskriminanten.<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-double-answer\">\n            <span>D = <input type=\"text\" class=\"sb-ans\" data-q=\"8a\" data-correct=\"-24\" placeholder=\"\"><\/span><br \/>\n            <span>Antal: <input type=\"text\" class=\"sb-ans\" data-q=\"8b\" data-correct=\"0|inga\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-8\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Bevis &amp; resonemang<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">9<\/span><span>Bevisa att \u221a2 \u00e4r irrationell (kortfattat motbevisargument).<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"3\" placeholder=\"Skriv ditt bevis...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Nyckel:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"9\" data-correct=\"antag p\/q|motbevis|contradiction\" placeholder=\"t.ex. antag p\/q...\"><\/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>Visa att (a+b)\u00b2 \u2212 (a\u2212b)\u00b2 = 4ab f\u00f6r alla reella tal a och b.<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"3\" placeholder=\"Expandera b\u00e5da led...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>Nyckel:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"10\" data-correct=\"expandera|4ab\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-10\"><\/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>3\/5 | 4\/5 | 3\/4<\/span><\/div>\n<div><strong>2.<\/strong> <span>\u224853\u00b0<\/span><\/div>\n<div><strong>3.<\/strong> <span>8,4 m<\/span><\/div>\n<div><strong>4.<\/strong> <span>3 | 5<\/span><\/div>\n<div><strong>5.<\/strong> <span>x = 4<\/span><\/div>\n<div><strong>6.<\/strong> <span>\u224811,6 \u00e5r<\/span><\/div>\n<div><strong>7.<\/strong> <span>(x+3)\u00b2\u22127<\/span><\/div>\n<div><strong>8.<\/strong> <span>D=\u221224, inga reella l\u00f6sningar<\/span><\/div>\n<div><strong>9.<\/strong> <span>Antag p\/q \u2192 motbevis<\/span><\/div>\n<div><strong>10.<\/strong> <span>Expandera b\u00e5da led \u2192 4ab<\/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; 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teknikprogram \u00b7 Bygger p\u00e5 Ma 1c Namn Klass Datum Ma 2c bygger p\u00e5 1c f\u00f6r natur\/teknik. Tillkommer: trigonometri, logaritmer, f\u00f6rdjupad andragradsekvation, bevis och abstrakt algebraisk resonemang. 0 av 10 fr\u00e5gor besvarade Trigonometri 1I en r\u00e4tvinklig triangel \u00e4r en katet 6 cm och hypotenusan [&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-998","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 2c | Studybuddy L\u00e4xhj\u00e4lp<\/title>\n<meta name=\"description\" content=\"F\u00f6rb\u00e4ttra dina 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