{"id":5603,"date":"2021-09-02t11:12:02","date_gmt":"2021-09-02t18:12:02","guid":{"rendered":"\/\/www.catharsisit.com\/hs\/?p=5603"},"modified":"2022-06-14t09:03:01","modified_gmt":"2022-06-14t16:03:01","slug":"act-math-practice","status":"publish","type":"post","link":"\/\/www.catharsisit.com\/hs\/act\/act-math-practice\/","title":{"rendered":"act math practice questions and solutions"},"content":{"rendered":"<p>here, you&#8217;ll find <a href=\"\/\/www.catharsisit.com\/hs\/act\/act-math\/\" rel=\"noopener\" target=\"_blank\">act math<\/a> practice questions for three of the main areas tested on act math: algebra, geometry, and trigonometry. they range in difficulty from easy to very hard, but these practice questions test many essential skills you&#8217;ll need on test day.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-16766\" src=\"\/\/www.catharsisit.com\/hs\/files\/2021\/08\/act-math-practice.jpg\" alt=\"pencil writing math equations\" width=\"1200\" height=\"600\" srcset=\"\/\/www.catharsisit.com\/hs\/files\/2021\/08\/act-math-practice.jpg 1200w, \/\/www.catharsisit.com\/hs\/files\/2021\/08\/act-math-practice-300x150.jpg 300w, \/\/www.catharsisit.com\/hs\/files\/2021\/08\/act-math-practice-600x300.jpg 600w, \/\/www.catharsisit.com\/hs\/files\/2021\/08\/act-math-practice-768x384.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<h2 style=\"color: #4d2079;\" data-darkreader-inline-color=\"\">act math practice questions (with answer explanations)<\/h2>\n<p>after you&#8217;ve worked through each question, click on the link for the video answer and explanation! you can also do them in a row and check your answers later, as a mini-practice test in math.<\/p>\n<p>we&#8217;ve included buttons for you to click to save your answers as you work through these problems, but keep in mind that these are just for your use. they don&#8217;t submit or save your answers, so you may want to take notes as you go. and now, without further ado, here&#8217;s are 15 act sample math questions to test your knowledge and sharpen your test-taking skills!<\/p>\n<h3><strong>act algebra sample questions<\/strong><\/h3>\n<p><span style=\"color: #c5168c;\" data-darkreader-inline-color=\"\"> difficulty: medium<\/span><\/p>\n<p>1. if \\(\\frac{x}{3}+\\frac{x}{4}+15=\\text{x}\\), then \\(\\text{x}= \\)<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q1a\" name=\"choice-q1\" type=\"radio\" value=\"a\" \/><label for=\"q1a\"> 18 <\/label><br \/>\n<input id=\"q1b\" name=\"choice-q1\" type=\"radio\" value=\"b\" \/><label for=\"q1b\"> 24 <\/label><br \/>\n<input id=\"q1c\" name=\"choice-q1\" type=\"radio\" value=\"c\" \/><label for=\"q1c\"> 36 <\/label><br \/>\n<input id=\"q1d\" name=\"choice-q1\" type=\"radio\" value=\"d\" \/><label for=\"q1d\"> 48 <\/label><br \/>\n<input id=\"q1e\" name=\"choice-q1\" type=\"radio\" value=\"e\" \/><label for=\"q1e\"> 60 <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/113\/a\/452042423?utm_source=actblog&amp;utm_medium=blog&amp;utm_campaign=actquestions&amp;utm_term=inline&amp;utm_content=act-math-practice\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 1!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #c5168c;\" data-darkreader-inline-color=\"\"> difficulty: medium<\/span><\/p>\n<p>2. given that f(x) = 3x \u2013 5 and g(x) = x^3 \u2013 x, what is f(g(2))?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q2a\" name=\"choice-q2\" type=\"radio\" value=\"a\" \/><label for=\"q2a\"> 0 <\/label><br \/>\n<input id=\"q2b\" name=\"choice-q2\" type=\"radio\" value=\"b\" \/><label for=\"q2b\"> 1 <\/label><br \/>\n<input id=\"q2c\" name=\"choice-q2\" type=\"radio\" value=\"c\" \/><label for=\"q2c\"> 7 <\/label><br \/>\n<input id=\"q2d\" name=\"choice-q2\" type=\"radio\" value=\"d\" \/><label for=\"q2d\"> 13 <\/label><br \/>\n<input id=\"q2e\" name=\"choice-q2\" type=\"radio\" value=\"e\" \/><label for=\"q2e\"> 19 <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/10716\/a\/452321347\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 2!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #c5168c;\" data-darkreader-inline-color=\"\"> difficulty: medium<\/span><\/p>\n<p>3. a, b, and c are consecutive odd integers such that a&lt;b&lt;c.<\/p>\n<p>if a + b + c = 81, then a + c =<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q3a\" name=\"choice-q1\" type=\"radio\" value=\"a\" \/><label for=\"q3a\"> 52 <\/label><br \/>\n<input id=\"q3b\" name=\"choice-q1\" type=\"radio\" value=\"a\" \/><label for=\"q3b\"> 54 <\/label><br \/>\n<input id=\"q3c\" name=\"choice-q1\" type=\"radio\" value=\"a\" \/><label for=\"q3c\"> 56 <\/label><br \/>\n<input id=\"q3d\" name=\"choice-q1\" type=\"radio\" value=\"a\" \/><label for=\"q3d\"> 58 <\/label><br \/>\n<input id=\"q3e\" name=\"choice-q1\" type=\"radio\" value=\"a\" \/><label for=\"q3e\"> 60 <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/gre.www.catharsisit.com\/questions\/7\/a\/451745348\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 3!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #c5168c;\" data-darkreader-inline-color=\"\"> difficulty: medium<\/span><\/p>\n<p>4. five lemonades and two cookies cost $1.50. two lemonades and five cookies cost $2.70. how much does one cookie and one lemonade cost?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q4a\" name=\"choice-q4\" type=\"radio\" value=\"a\" \/><label for=\"q4a\"> $0.10 <\/label><br \/>\n<input id=\"q4b\" name=\"choice-q4\" type=\"radio\" value=\"b\" \/><label for=\"q4b\"> $0.50 <\/label><br \/>\n<input id=\"q4c\" name=\"choice-q4\" type=\"radio\" value=\"c\" \/><label for=\"q4c\"> $0.60 <\/label><br \/>\n<input id=\"q4d\" name=\"choice-q4\" type=\"radio\" value=\"d\" \/><label for=\"q4d\"> $1.50 <\/label><br \/>\n<input id=\"q4e\" name=\"choice-q4\" type=\"radio\" value=\"e\" \/><label for=\"q4e\"> $1.60 <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/4714\/a\/452422303\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 4!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #c5168c;\" data-darkreader-inline-color=\"\"> difficulty: medium<\/span><\/p>\n<p>5. if x &gt; x<sup>2<\/sup>, which of the following must be true about x?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q5a\" name=\"choice-q5\" type=\"radio\" value=\"a\" \/><label for=\"q5a\"> x&lt;1<\/label><br \/>\n<input id=\"q5b\" name=\"choice-q5\" type=\"radio\" value=\"b\" \/><label for=\"q5b\"> 0&lt;x&lt;1<\/label><br \/>\n<input id=\"q5c\" name=\"choice-q5\" type=\"radio\" value=\"c\" \/><label for=\"q5c\"> x = 0 <\/label><br \/>\n<input id=\"q5d\" name=\"choice-q5\" type=\"radio\" value=\"d\" \/><label for=\"q5d\"> -1&lt;x&lt;0<\/label><br \/>\n<input id=\"q5e\" name=\"choice-q5\" type=\"radio\" value=\"e\" \/><label for=\"q5e\"> x&lt;-1 <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/13944\/a\/452422400\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 5!<\/a><\/p>\n<hr \/>\n<h3><strong>act geometry sample questions<\/strong><\/h3>\n<p><span style=\"color: #c5168c;\" data-darkreader-inline-color=\"\"> difficulty: medium<\/span><\/p>\n<p>6. <img decoding=\"async\" class=\"alignnone size-full wp-image-16799\" src=\"\/\/www.catharsisit.com\/hs\/files\/2016\/02\/trapezoid.png\" alt=\"geometric problem solving the area of a trapezoid\" width=\"261\" height=\"125\" \/><br \/>\nin trapezoid abcd, bc = ef = 6, af = de = 3, and<\/p>\n<p>ab = cd = 5. if the area of a trapezoid is given by<\/p>\n<p>\\(\\text{a}=(\\frac{{\\text{b}_1}+{\\text{b}_2}}{2})\\text{h}\\)<\/p>\n<p>then which of the following is the area of trapezoid abcd?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q6a\" name=\"choice-q6\" type=\"radio\" value=\"a\" \/><label for=\"q6a\"> 12 <\/label><br \/>\n<input id=\"q6b\" name=\"choice-q6\" type=\"radio\" value=\"b\" \/><label for=\"q6b\"> 24 <\/label><br \/>\n<input id=\"q6c\" name=\"choice-q6\" type=\"radio\" value=\"c\" \/><label for=\"q6c\"> 36 <\/label><br \/>\n<input id=\"q6d\" name=\"choice-q6\" type=\"radio\" value=\"d\" \/><label for=\"q6d\"> 45 <\/label><br \/>\n<input id=\"q6e\" name=\"choice-q6\" type=\"radio\" value=\"e\" \/><label for=\"q6e\"> 54 <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/6113\/a\/452321723\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 6!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #cd2026;\" data-darkreader-inline-color=\"\"> difficulty: hard<\/span><\/p>\n<p>7. in the diagram below, chord df is parallel to the diameter ac. the length of df is 20 cm and the length of ac is 28 cm. what is the distance, in centimeters, from b, the center of the circle, to e, the midpoint of df?<br \/>\n<img decoding=\"async\" class=\"alignnone size-full wp-image-16800\" src=\"\/\/www.catharsisit.com\/hs\/files\/2016\/02\/circle.png\" alt=\"geometric problem solving for distance\" width=\"297\" height=\"236\" \/><\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q7a\" name=\"choice-q7\" type=\"radio\" value=\"a\" \/><label for=\"q7a\"> \\(8\\)<\/label><br \/>\n<input id=\"q7b\" name=\"choice-q7\" type=\"radio\" value=\"b\" \/><label for=\"q7b\"> \\(9{\\frac{1}{3}}\\)<\/label><br \/>\n<input id=\"q7c\" name=\"choice-q7\" type=\"radio\" value=\"c\" \/><label for=\"q7c\"> \\(4{\\sqrt\u200b{6}}\\)<\/label><br \/>\n<input id=\"q7d\" name=\"choice-q7\" type=\"radio\" value=\"d\" \/><label for=\"q7d\">\\(10\\)<\/label><br \/>\n<input id=\"q7e\" name=\"choice-q7\" type=\"radio\" value=\"e\" \/><label for=\"q7e\">\\(16{\\sqrt{6}}\\)<\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/6489\/a\/452321765\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 7!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #2e8540;\" data-darkreader-inline-color=\"\"> difficulty: easy<\/span><\/p>\n<p>8. tony plans to put a rectangular perimeter of fencing around his backyard pool. the area to be sectioned off for the pool area measures 22 feet by 30 feet. one long side of the pool area is along the house, so he only needs to fence off 3 sides. how many feet of fencing will he need?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q8a\" name=\"choice-q8\" type=\"radio\" value=\"a\" \/><label for=\"q8a\"> 52 <\/label><br \/>\n<input id=\"q8b\" name=\"choice-q8\" type=\"radio\" value=\"b\" \/><label for=\"q8b\"> 74 <\/label><br \/>\n<input id=\"q8c\" name=\"choice-q8\" type=\"radio\" value=\"c\" \/><label for=\"q8c\"> 104 <\/label><br \/>\n<input id=\"q8d\" name=\"choice-q8\" type=\"radio\" value=\"d\" \/><label for=\"q8d\"> 112 <\/label><br \/>\n<input id=\"q8e\" name=\"choice-q8\" type=\"radio\" value=\"e\" \/><label for=\"q8e\"> 144 <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/6488\/a\/452321792\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 8!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #cd2026;\" data-darkreader-inline-color=\"\"> difficulty: hard<\/span><\/p>\n<p>9. circle b below has a radius of 4 and arc ac has a central degree measure of 145\u00b0. what is the approximate length of arc ac?<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-16801\" src=\"\/\/www.catharsisit.com\/hs\/files\/2016\/02\/circle2.png\" alt=\"geometric problem solving for arc\" width=\"304\" height=\"289\" srcset=\"\/\/www.catharsisit.com\/hs\/files\/2016\/02\/circle2.png 304w, \/\/www.catharsisit.com\/hs\/files\/2016\/02\/circle2-300x285.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q9a\" name=\"choice-q9\" type=\"radio\" value=\"a\" \/><label for=\"q9a\">\\(2\u03c0\\)<\/label><br \/>\n<input id=\"q9b\" name=\"choice-q9\" type=\"radio\" value=\"b\" \/><label for=\"q9b\">\\(3\u03c0\\)<\/label><br \/>\n<input id=\"q9c\" name=\"choice-q9\" type=\"radio\" value=\"c\" \/><label for=\"q9c\">\\(4\u03c0\\)<\/label><br \/>\n<input id=\"q9d\" name=\"choice-q9\" type=\"radio\" value=\"d\" \/><label for=\"q9d\">\\(5\u03c0\\)<\/label><br \/>\n<input id=\"q9e\" name=\"choice-q9\" type=\"radio\" value=\"e\" \/><label for=\"q9e\">\\(6\u03c0\\)<\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/6494\/a\/452321821\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 9!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #cd2026;\" data-darkreader-inline-color=\"\"> difficulty: very hard<\/span><\/p>\n<p>10. \u25b3abc and \u25b3def are both equilateral. given <span style=\"text-decoration: overline;\">de<\/span> is 50% greater than <span style=\"text-decoration: overline;\">ab<\/span>, by what percentage is the area of \u25b3def greater than the area of \u25b3abc?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q10a\" name=\"choice-q10\" type=\"radio\" value=\"a\" \/><label for=\"q10a\"> 75% <\/label><br \/>\n<input id=\"q10b\" name=\"choice-q10\" type=\"radio\" value=\"b\" \/><label for=\"q10b\"> 100% <\/label><br \/>\n<input id=\"q10c\" name=\"choice-q10\" type=\"radio\" value=\"c\" \/><label for=\"q10c\"> 125% <\/label><br \/>\n<input id=\"q10d\" name=\"choice-q10\" type=\"radio\" value=\"d\" \/><label for=\"q10d\"> 150% <\/label><br \/>\n<input id=\"q10e\" name=\"choice-q10\" type=\"radio\" value=\"e\" \/><label for=\"q10e\"> 225% <\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/11530\/a\/452321856\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 10!<\/a><\/p>\n<hr \/>\n<h3><strong>act trigonometry sample questions<\/strong><\/h3>\n<p><span style=\"color: #cd2026;\" data-darkreader-inline-color=\"\"> difficulty: very hard<\/span><\/p>\n<p>11. whenever cos(\u03b8) = 0, and \u03c0 \u2264 \u03b8 \u2264 2\u03c0, the value of sin(\u03b8) =<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q11a\" name=\"choice-q11\" type=\"radio\" value=\"a\" \/><label for=\"q11a\">\\(-1\\)<\/label><br \/>\n<input id=\"q11b\" name=\"choice-q11\" type=\"radio\" value=\"b\" \/><label for=\"q11b\"> \\(0\\)<\/label><br \/>\n<input id=\"q11c\" name=\"choice-q11\" type=\"radio\" value=\"c\" \/><label for=\"q11c\"> \\(\u200b\\frac{1}{2}\\)<\/label><br \/>\n<input id=\"q11d\" name=\"choice-q11\" type=\"radio\" value=\"d\" \/><label for=\"q11d\"> \\(1\\)<\/label><br \/>\n<input id=\"q11e\" name=\"choice-q11\" type=\"radio\" value=\"e\" \/><label for=\"q11e\"> it cannot be determined from the information provided.<\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/6502\/a\/452321903\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 11!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #cd2026;\" data-darkreader-inline-color=\"\"> difficulty: hard<\/span><\/p>\n<p>12. <img decoding=\"async\" class=\"alignnone size-full wp-image-16802\" src=\"\/\/www.catharsisit.com\/hs\/files\/2016\/02\/triangle.png\" alt=\"geometric figure solving an angle\" width=\"190\" height=\"142\" \/><\/p>\n<p>which of the following is the value of<\/p>\n<p>(sin(30\u00b0) \u2013 cos(30\u00b0))2 ?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q12a\" name=\"choice-q12\" type=\"radio\" value=\"a\" \/><label for=\"q12a\"> \\(1\\)<\/label><br \/>\n<input id=\"q12b\" name=\"choice-q12\" type=\"radio\" value=\"b\" \/><label for=\"q12b\"> \\(\\frac{1}{2}\\)<\/label><br \/>\n<input id=\"q12c\" name=\"choice-q12\" type=\"radio\" value=\"c\" \/><label for=\"q12c\"> -\\(\\frac{1}{2}\\)<\/label><br \/>\n<input id=\"q12d\" name=\"choice-q12\" type=\"radio\" value=\"d\" \/><label for=\"q12d\"> \\(1-{\\frac{\\sqrt{3}}{2}}\\) <\/label><br \/>\n<input id=\"q12e\" name=\"choice-q12\" type=\"radio\" value=\"e\" \/><label for=\"q12e\"> \\(1-{\\frac{\\sqrt{3}}{2}}\\)<\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/5370\/a\/452321949\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 12!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #cd2026;\" data-darkreader-inline-color=\"\"> difficulty: hard<\/span><\/p>\n<p>13. which of the following angles has the same terminal side as 1,105\u00b0?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q13a\" name=\"choice-q13\" type=\"radio\" value=\"a\" \/><label for=\"q13a\"> 15\u00b0<\/label><br \/>\n<input id=\"q13b\" name=\"choice-q13\" type=\"radio\" value=\"b\" \/><label for=\"q13b\"> 25\u00b0<\/label><br \/>\n<input id=\"q13c\" name=\"choice-q13\" type=\"radio\" value=\"c\" \/><label for=\"q13c\"> 45\u00b0<\/label><br \/>\n<input id=\"q13d\" name=\"choice-q13\" type=\"radio\" value=\"d\" \/><label for=\"q13d\"> 105\u00b0<\/label><br \/>\n<input id=\"q13e\" name=\"choice-q13\" type=\"radio\" value=\"e\" \/><label for=\"q13e\"> 335\u00b0<\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/6506\/a\/452322006\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 13!<\/a><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #cd2026;\" data-darkreader-inline-color=\"\"> difficulty: hard<\/span><\/p>\n<p>14. the tree below casts a shadow that is 24 feet long, and the angle of elevation from the tip of the shadow to the top of the tree has a cosine of \\(\\frac{4}{5}\\). what is the height of the tree?<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-16803\" src=\"\/\/www.catharsisit.com\/hs\/files\/2016\/02\/triangle-tree.png\" alt=\"measuring the height of a tree using an angle\" width=\"275\" height=\"258\" \/><\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q14a\" name=\"choice-q14\" type=\"radio\" value=\"a\" \/><label for=\"q14a\"> 16<\/label><br \/>\n<input id=\"q14b\" name=\"choice-q14\" type=\"radio\" value=\"b\" \/><label for=\"q14b\"> 18<\/label><br \/>\n<input id=\"q14c\" name=\"choice-q14\" type=\"radio\" value=\"c\" \/><label for=\"q14c\"> 24<\/label><br \/>\n<input id=\"q14d\" name=\"choice-q14\" type=\"radio\" value=\"d\" \/><label for=\"q14d\"> 30<\/label><br \/>\n<input id=\"q14e\" name=\"choice-q14\" type=\"radio\" value=\"e\" \/><label for=\"q14e\"> 32<\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/6500\/a\/452322076\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 14!<\/a><\/p>\n<hr \/>\n<p><span style=\"color: #c5168c;\" data-darkreader-inline-color=\"\"> difficulty: medium<\/span><\/p>\n<p>15. which of the following is the value of 240\u00b0 in radians?<\/p>\n<form>\n<fieldset>\n<legend><em>answer choices:<\/em><\/legend>\n<p><input id=\"q15a\" name=\"choice-q15\" type=\"radio\" value=\"a\" \/><label for=\"q15a\"> \u200b\\(\u200b\\frac{2\u03c0}{3}\\)<br \/>\n\u200b\u200b<\/label><br \/>\n<input id=\"q15b\" name=\"choice-q15\" type=\"radio\" value=\"b\" \/><label for=\"q15b\"> \\(\u200b3\u03c0\/4\\)<\/label><br \/>\n<input id=\"q15c\" name=\"choice-q15\" type=\"radio\" value=\"c\" \/><label for=\"q15c\"> \\(\u200b\\frac{3\u03c0}{8}\\)<\/label><br \/>\n<input id=\"q15d\" name=\"choice-q15\" type=\"radio\" value=\"d\" \/><label for=\"q15d\"> \\(\u200b\u200b\\frac{4\u03c0}{3}\\)<\/label><br \/>\n<input id=\"q15e\" name=\"choice-q15\" type=\"radio\" value=\"e\" \/><label for=\"q15e\"> \\(\u200b\u200b\\frac{8\u03c0}{3}\\)<\/label><\/fieldset>\n<\/form>\n<p><a href=\"https:\/\/act.www.catharsisit.com\/questions\/5373\/a\/452322110\" target=\"_blank\" rel=\"noopener\">click here for the answer and video explanation for problem 15!<\/a><\/p>\n<hr \/>\n<h2 style=\"color: #4d2079;\" data-darkreader-inline-color=\"\">more resources for act math<\/h2>\n<p>want more act math practice questions and resources? impressive! so what are your next steps? check out these posts to get a better understanding of all the question types you&#8217;ll see on the act math test, from categories of questions to basic formulas to geometric figures and systems of equations. these resources will help your act math prep by letting you get a better sense of all the different kinds of act math questions you&#8217;ll see on the actual test! take a look.<\/p>\n<ul>\n<li><a href=\"\/\/www.catharsisit.com\/hs\/act\/act-practice-test\/\" target=\"_blank\" rel=\"noopener\">7 free 2022世界杯入门名单s<\/a><\/li>\n<li><a href=\"\/\/www.catharsisit.com\/hs\/act\/hard-act-math-problems\/\" target=\"_blank\" rel=\"noopener\">hard act math problems<\/a><\/li>\n<li><a href=\"\/\/www.catharsisit.com\/hs\/act\/act-trigonometry\/\" target=\"_blank\" rel=\"noopener\">guide to act trig<\/a><\/li>\n<li><a href=\"\/\/www.catharsisit.com\/hs\/act\/5-most-frequently-tested-act-math-topics\/\" target=\"_blank\" rel=\"noopener\">guide to common act math topics<\/a><\/li>\n<li><a href=\"\/\/www.catharsisit.com\/hs\/act\/math-formulas-on-the-act\/\" target=\"_blank\" rel=\"noopener\">act math formulas to learn<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>looking for act math practice questions? check out these act algebra, geometry, and trig problems with video answers and explanations!<\/p>\n","protected":false},"author":228,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[90],"tags":[9,6,7],"ppma_author":[24872,24876],"acf":[],"yoast_head":"<!-- this site is optimized with the yoast seo premium plugin v21.7 (yoast seo v21.7) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>act math practice questions and solutions - magoosh blog | high school<\/title>\n<meta name=\"description\" content=\"looking for act math practice questions? check out these act algebra, geometry, and trig problems with video answers and explanations!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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kapelke-dale","image":{"@type":"imageobject","inlanguage":"en-us","@id":"\/\/www.catharsisit.com\/hs\/#\/schema\/person\/image\/1fa8237f9d15e21c17ec0cc6264dd6e6","url":"https:\/\/secure.gravatar.com\/avatar\/a68bd32a77dfbc38df6b7158ca0d4fcb?s=96&d=mm&r=g","contenturl":"https:\/\/secure.gravatar.com\/avatar\/a68bd32a77dfbc38df6b7158ca0d4fcb?s=96&d=mm&r=g","caption":"rachel kapelke-dale"},"description":"rachel has helped students around the world prepare for various standardized tests, including the sat, act, toefl, gre, and gmat, and she is one of the authors of our magoosh act prep book. rachel has a bachelor of arts in comparative literature from brown university, an ma in cinematography from the universit\u00e9 de paris vii, and a ph.d. in film studies from university college london.","honorificsuffix":"phd","knowsabout":["sat","act","toefl","gre","gmat"],"knowslanguage":["english","french"],"jobtitle":"content creator","worksfor":"magoosh","url":"\/\/www.catharsisit.com\/hs\/author\/rachelkd\/"}]}},"authors":[{"term_id":24872,"user_id":228,"is_guest":0,"slug":"rachelkd","display_name":"rachel kapelke-dale","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/a68bd32a77dfbc38df6b7158ca0d4fcb?s=96&d=mm&r=g","user_url":"http:\/\/rachelkapelkedale.com\/","last_name":"kapelke-dale","first_name":"rachel","description":"rachel is a magoosh content creator. she writes and updates content on our <a href=\"\/\/www.catharsisit.com\/hs\/\">high school <\/a>and <a href=\"\/\/www.catharsisit.com\/gre\/\">gre blogs<\/a> to ensure students are equipped with the best information during their test prep journey. as a test-prep instructor for more than five years in there different countries, rachel has helped students around the world prepare for various standardized tests, including the sat, act, toefl, gre, and gmat, and she is one of the authors of our <a href=\"https:\/\/www.amazon.com\/act-prep-magoosh-schedules-strategies\/dp\/1610660692\" rel=\"noopener noreferrer\">magoosh act prep book<\/a>. rachel has a bachelor of arts in comparative literature from brown university, an ma in cinematography from the universit\u00e9 de paris vii, and a ph.d. in film studies from university college london. for over a decade, rachel has honed her craft as a fiction and memoir writer and public speaker. her novel,<a href=\"https:\/\/read.macmillan.com\/lp\/the-ballerinas\/\" rel=\"noopener noreferrer\"> the ballerinas<\/a>, is forthcoming in december 2021 from<a href=\"https:\/\/us.macmillan.com\/author\/rachelkapelkedale\/\" rel=\"noopener noreferrer\"> st. martin's press<\/a>, while her memoir,<a href=\"https:\/\/www.penguinrandomhouse.com\/books\/315080\/graduates-in-wonderland-by-jessica-pan\/\" rel=\"noopener noreferrer\"> graduates in wonderland<\/a>, co-written with jessica pan, was published in 2014 by penguin random house. her <a href=\"http:\/\/rachelkapelkedale.com\/\" rel=\"noopener noreferrer\">work<\/a> has appeared in over a dozen online and print publications, including vanity fair hollywood. when she isn't strategically stringing words together at magoosh, you can find rachel riding horses or with her nose in a book. join her on<a href=\"https:\/\/twitter.com\/rkapelkedale\" rel=\"noopener noreferrer\"> twitter<\/a>,<a href=\"https:\/\/www.instagram.com\/rachelkapelkedale\/\" rel=\"noopener noreferrer\"> instagram<\/a>, or<a href=\"https:\/\/www.facebook.com\/rkapelkedale\" rel=\"noopener noreferrer\"> facebook<\/a>!"},{"term_id":24876,"user_id":431,"is_guest":0,"slug":"brendanh","display_name":"brendan henrique","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/78f738ce01c498ea4aa44f3c3b43739f?s=96&d=mm&r=g","user_url":"","last_name":"henrique","first_name":"brendan","description":"\r\n<a href=\"https:\/\/brendanhenrique.com\/?page_id=99\">brendan henrique<\/a> is a gre content expert for magoosh. brendan has been helping students with the sat, act and gre for over six years and has been a middle school <a href=\"https:\/\/edsource.org\/2020\/one-more-challenge-for-teachers-in-distance-learning-all-new-science-curriculum\/645101\">science teacher<\/a> for the past two years. he attended uc berkeley (b.a.) for cognitive science and loyola marymount (m.a.) for urban education. he is currently pursuing his ph.d. of learning sciences at uc berkeley where he will focus on building a framework for equitable stem education.  his <a href=\"https:\/\/digitalcommons.lmu.edu\/glra\/awards\/2021\/4\/\">master\u2019s thesis<\/a> analyzed differing labor practices and their effects between charter schools and public schools. he has mentored hundreds of students domestically from boston to minneapolis to oakland. he has also been able to teach students remotely in international locations ranging from china to spain. brendan is a proud board member of <a href=\"https:\/\/lovelearnsuccess.org\/about-us\/board-members\/\">love.learn.success<\/a>, a nonprofit organization that runs after school programs in the bay area. connect with him and magoosh on <a href=\"https:\/\/www.linkedin.com\/in\/brendanhenrique\">linkedin<\/a>! 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