{"id":1007,"date":"2026-03-24T11:26:32","date_gmt":"2026-03-24T10:26:32","guid":{"rendered":"https:\/\/academy.studybuddy.se\/?p=1007"},"modified":"2026-04-14T11:51:29","modified_gmt":"2026-04-14T10:51:29","slug":"testa-dig-sjalv-matematik-ak9","status":"publish","type":"post","link":"https:\/\/studybuddy.se\/en\/testa-dig-sjalv-matematik-ak9\/","title":{"rendered":"Testa dig sj\u00e4lv \u2013 Nationella Proven i Matematik \u00e5k 9"},"content":{"rendered":"<style>\n  *, *::before, *::after { box-sizing: border-box; margin: 0; padding: 0; }\n  .sb-test { max-width: 960px; margin: 0 auto; font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Arial, sans-serif; font-size: 0.93rem; color: #1a1a1a; padding: 20px 16px; background: #fff; }<\/p>\n<p>  \/* Header *\/\n  .sb-header { display: flex; justify-content: space-between; align-items: center; margin-bottom: 4px; gap: 12px; flex-wrap: wrap; }\n  .sb-logo { background: #c0392b; color: #fff; font-weight: 800; font-size: 1.15rem; padding: 7px 16px; 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color: #fff; border: none; padding: 8px 18px; border-radius: 4px; 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; }<\/p>\n<p>  @media (max-width: 620px) {\n    .sb-columns { grid-template-columns: 1fr; }\n    .sb-meta { grid-template-columns: 1fr; gap: 8px 0; }\n    .sb-title-block { text-align: left; }\n    .sb-header { flex-direction: column; align-items: flex-start; }\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\">Studybuddy\u00ae<\/div>\n<div class=\"sb-title-block\">\n<h1>Testa dig sj\u00e4lv \u2013 Nationella Proven i Matematik<\/h1>\n<p>\u00c5k 9 &nbsp;|&nbsp; Taluppfattning \u00b7 Algebra \u00b7 Geometri \u00b7 Sannolikhet \u00b7 Funktioner<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<hr class=\"sb-divider\">\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-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 14 fr\u00e5gor besvarade<\/div>\n<\/p><\/div>\n<div class=\"sb-columns\">\n<p>    <!-- LEFT --><\/p>\n<div>\n<div class=\"sb-section\">\n<div class=\"sb-section-title\">Taluppfattning &amp; aritmetik<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">1<\/span><span>Ber\u00e4kna: <strong>3,6 \u00d7 2,5 \u2212 4,5 \u00f7 1,5<\/strong><\/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=\"6\" 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>Vilket tal \u00e4r st\u00f6rst? Ringa in och motivera.<\/span><\/div>\n<div class=\"sb-choices\" data-q=\"2\" data-correct=\"7\/11\">\n<div class=\"sb-choice\" data-val=\"\u2153\">\u2153<\/div>\n<div class=\"sb-choice\" data-val=\"62%\">62%<\/div>\n<div class=\"sb-choice\" data-val=\"0,61\">0,61<\/div>\n<div class=\"sb-choice\" data-val=\"7\/11\">7\/11<\/div>\n<\/p><\/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 vara kostar 480 kr efter 20% rabatt. Ursprungspris?<\/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=\"600\" 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<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">4<\/span><span>L\u00f6s: <strong>3(x \u2212 2) = 2x + 7<\/strong><\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>x =<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"4\" data-correct=\"13\" 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>F\u00f6renkla: <strong>4a\u00b3 \u2212 3a + 2a\u00b3 + 5a \u2212 1<\/strong><\/span><\/div>\n<div class=\"sb-answer-row\"><label>Svar:<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"5\" data-correct=\"6a\u00b3+2a-1|6a^3+2a-1\" placeholder=\"\" style=\"width:130px\"><\/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>L\u00f6s systemet: <strong>2x + y = 8 &amp; x \u2212 y = 1<\/strong><\/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=\"6a\" data-correct=\"3\" placeholder=\"\"><\/span><br \/>\n            <span>y = <input type=\"text\" class=\"sb-ans\" data-q=\"6b\" data-correct=\"2\" placeholder=\"\"><\/span>\n          <\/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\">Funktioner &amp; grafer<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">12<\/span><span><strong>y = 2x \u2212 3<\/strong> \u2013 ange lutning och y-sk\u00e4rning.<\/span><\/div>\n<div class=\"sb-double-answer\">\n            <span>k = <input type=\"text\" class=\"sb-ans\" data-q=\"12a\" data-correct=\"2\" placeholder=\"\"><\/span><br \/>\n            <span>m = <input type=\"text\" class=\"sb-ans\" data-q=\"12b\" data-correct=\"-3\" placeholder=\"\"><\/span>\n          <\/div>\n<div class=\"sb-feedback\" id=\"fb-12\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">13<\/span><span>Rita (0,\u22123), (1,\u22121), (2,1) och dra en linje. Vad \u00e4r funktionen?<\/span><\/div>\n<p>          <canvas class=\"sb-coord\" id=\"coordCanvas\"><\/canvas><\/p>\n<div class=\"sb-answer-row\" style=\"margin-top:6px\"><label>f(x) =<\/label><input type=\"text\" class=\"sb-ans\" data-q=\"13\" data-correct=\"y=2x-3|2x-3\" placeholder=\"\"><\/div>\n<div class=\"sb-feedback\" id=\"fb-13\"><\/div>\n<\/p><\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">14<\/span><span>Parabel upp\u00e5t, toppunkt (0,0)?<\/span><\/div>\n<div class=\"sb-choices\" data-q=\"14\" data-correct=\"y=x\u00b2\">\n<div class=\"sb-choice\" data-val=\"y=\u2212x\u00b2\">y=\u2212x\u00b2<\/div>\n<div class=\"sb-choice\" data-val=\"y=x\u00b2\">y=x\u00b2<\/div>\n<div class=\"sb-choice\" data-val=\"y=x+1\">y=x+1<\/div>\n<div class=\"sb-choice\" data-val=\"y=2x\">y=2x<\/div>\n<\/p><\/div>\n<div class=\"sb-feedback\" id=\"fb-14\"><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<p>    <!-- RIGHT --><\/p>\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\">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 | O = 2\u03c0r<\/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\">Cylinder<\/div>\n<p>V = \u03c0r\u00b2h<\/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\">7<\/span><span>Kateterna \u00e4r 6 cm och 8 cm. Hur l\u00e5ng \u00e4r hypotenusan?<\/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=\"10\" 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>Cylinder: r = 5 cm, h = 12 cm. Ber\u00e4kna volymen.<\/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=\"8\" data-correct=\"942|\u2248942|942,5|\u2248942,5\" placeholder=\"\"><\/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>Cirkelarea = 50,24 cm\u00b2. Vad \u00e4r radien? (\u03c0 \u2248 3,14)<\/span><\/div>\n<p>          <textarea class=\"sb-work-area\" rows=\"2\" placeholder=\"Ber\u00e4kning...\"><\/textarea><\/p>\n<div class=\"sb-answer-row\"><label>r =<\/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\">Sannolikhet &amp; statistik<\/div>\n<div class=\"sb-question\">\n<div class=\"sb-question-text\"><span class=\"sb-qnum\">10<\/span><span>P\u00e5se: 4 r\u00f6da, 3 bl\u00e5, 5 gr\u00f6na kulor. P(bl\u00e5) = ?<\/span><\/div>\n<div class=\"sb-choices\" data-q=\"10\" data-correct=\"1\/4\">\n<div class=\"sb-choice\" data-val=\"1\/4\">1\/4<\/div>\n<div class=\"sb-choice\" data-val=\"3\/12\">3\/12<\/div>\n<div class=\"sb-choice\" data-val=\"1\/3\">1\/3<\/div>\n<div class=\"sb-choice\" data-val=\"5\/12\">5\/12<\/div>\n<\/p><\/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>Prov: 4, 7, 5, 9, 7, 3, 7, 8. Ber\u00e4kna medelv\u00e4rde, median och typv\u00e4rde.<\/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=\"6,25|6.25\" placeholder=\"\"><\/span><br \/>\n            <span>Med: <input type=\"text\" class=\"sb-ans\" data-q=\"11b\" data-correct=\"7\" placeholder=\"\"><\/span><br \/>\n            <span>Tv: <input type=\"text\" class=\"sb-ans\" data-q=\"11c\" data-correct=\"7\" 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>6<\/span><\/div>\n<div><strong>2.<\/strong> <span>7\/11 = 0,636<\/span><\/div>\n<div><strong>3.<\/strong> <span>600 kr<\/span><\/div>\n<div><strong>4.<\/strong> <span>x = 13<\/span><\/div>\n<div><strong>5.<\/strong> <span>6a\u00b3+2a\u22121<\/span><\/div>\n<div><strong>6.<\/strong> <span>x=3, y=2<\/span><\/div>\n<div><strong>7.<\/strong> <span>10 cm<\/span><\/div>\n<div><strong>8.<\/strong> <span>\u2248942 cm\u00b3<\/span><\/div>\n<div><strong>9.<\/strong> <span>r = 4 cm<\/span><\/div>\n<div><strong>10.<\/strong> <span>1\/4<\/span><\/div>\n<div><strong>11.<\/strong> <span>6,25 | 7 | 7<\/span><\/div>\n<div><strong>12.<\/strong> <span>k=2, m=\u22123<\/span><\/div>\n<div><strong>13.<\/strong> <span>y = 2x\u22123<\/span><\/div>\n<div><strong>14.<\/strong> <span>y = x\u00b2<\/span><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"sb-grades\"><strong>Betygsgr\u00e4ns (riktlinje):<\/strong> E: 18p &nbsp;|&nbsp; C: 24p &nbsp;|&nbsp; A: 30p &nbsp;<em>(ej officiella NP-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> \/ 36<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<p><script>\n  \/\/ Draw coordinate canvas\n  const canvas = document.getElementById('coordCanvas');\n  if (canvas) {\n    const ctx = canvas.getContext('2d');\n    canvas.width = 270; canvas.height = 170;\n    const ox = 95, oy = 85, sc = 26;\n    ctx.strokeStyle = '#e8e8e8'; ctx.lineWidth = 1;\n    for (let i = -3; i <= 4; i++) { ctx.beginPath(); ctx.moveTo(ox+i*sc,0); ctx.lineTo(ox+i*sc,170); ctx.stroke(); }\n    for (let i = -3; i <= 3; i++) { ctx.beginPath(); ctx.moveTo(0,oy+i*sc); ctx.lineTo(270,oy+i*sc); ctx.stroke(); 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Ringa in och motivera. \u2153 62% 0,61 7\/11 3En vara [&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-1007","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 Nationella Proven i Matematik \u00e5k 9 | Studybuddy L\u00e4xhj\u00e4lp<\/title>\n<meta name=\"description\" content=\"F\u00f6rb\u00e4ttra dina matematiska f\u00e4rdigheter med Testa dig sj\u00e4lv \u2013 Nationella Proven i Matematik \u00e5k 9. 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