[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-461318-105":59,"doc-detail-461318-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","the-act-math-test-must-know-act-math-formulas","The ACT Math Test - Must Know ACT Math Formulas","","Guide to the ACT Math Test structure and study priorities, emphasizing that students should master math concepts expected through advanced algebra and basic trigonometry but not calculus. Covers the second section format, including time limit, number of multiple-choice questions, and calculator use rules. Provides a targeted study list across pre-algebra, elementary and intermediate algebra, coordinate/plane geometry, and basic trigonometry, plus clear boundaries for what not to study. Includes a consolidated formulas reference covering core topics such as geometry, trigonometry identities, probability, counting principles, sequences, and special triangle ratios.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/the-act-math-test-must-know-act-math-formulas/461318/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/the-act-math-test-must-know-act-math-formulas/461318.png","ImageObject",300,407,{"name":92,"@type":93},"Aurelia","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-28","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How is the ACT Math section structured and timed?","Question",{"text":112,"@type":113},"The ACT Math section is the second section, with a 60-minute time limit. It includes 60 multiple-choice questions, and you may use an approved calculator for the whole test.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which topics should you study for ACT Math?",{"text":117,"@type":113},"Focus on geometry formulas for area, volume, and surface area; multiple-choice strategies like backsolving and substituting values; and foundational content including pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and very basic trigonometry.",{"name":119,"@type":110,"acceptedAnswer":120},"What trigonometry topics should you avoid?",{"text":121,"@type":113},"Avoid trigonometry beyond the very basics. You should still know key basics such as SOH-CAH-TOA, solving right triangles, the unit circle, key trigonometric relations, and how sine, cosine, and tangent graphs look.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},461318,1790814242,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},1099514068365,"https://ap-avatar.wpscdn.com/avatar/10000253d8d9f28188e?_k=1776742907772140068","1  \nThe ACT Math Test  \nThe ACT Math Test assesses the mathematical skills students are expected to obtain before grade 12 ( meaning through advanced algebra and basic trigonometry, but not calculus) .  \nWhat to Know  \nIt’s the second section of the ACT  \n● You have a 60-minute time limit  \n● You will face 60 multiple choice questions  \n● You get to use a calculator for the whole test (but it must be an approved one)  \nWhat to Study  \n● Geometry formulas for the area, volume, and surface area of basic shapes ( unlike the SAT, the ACT won’t give you these!)  \n● Multiple-choice math test strategies such as “backsolving” the problem using the answer choices, substituting in numbers, and estimating.  \n● Pre-Algebra  \n○ decimals, fractions, integers, positive and negative numbers, square roots, scientific notation, factors, ratios, proportions, percents, charts and graphs of statistics  \n● Elementary Algebra  \n○ exponents, evaluating algebraic expressions through substitution, using variables to express relationships, algebraic operations, and factoring quadratic equations  \n● Intermediate Algebra  \n2  \n○ quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and series, systems of equations, quadratic inequalities, functions, matrices, roots of polynomials, probability, and complex numbers  \n● Coordinate Geometry  \n○ evaluating points and lines on a graph, polynomials, circles and other curves, graphing inequalities, slope, parallel and perpendicular lines, distance, midpoints, and conics  \n● Plane Geometry  \n○ angles and relationships among perpendicular and parallel lines, properties of circles, ellipses, rectangles, triangles, parallelograms, trapezoids, transformations, area, volume, three-dimensional geometry  \n● Trigonometry (on a very basic level)  \n○ trigonometric relations in right angles, values and properties of trig functions, graphing trig functions, using trig identities, solving trig equations  \nWhat Not to Study  \n● Trigonometry beyond the very basics. However, you should know:  \n○ SOH-CAH-TOA  \n○ how to solve right triangles  \n○ the unit circle  \n○ tan θ = sin θ / cos θ  \n○ sin^2 θ + cos^2 θ = 1  \n○ what sine, cosine, and tangent graphs look like  \n3  \nWhere to Start  \nWith the formulas! Unlike the SAT, the ACT does not give you a list of formulas at the beginning of the math test. That means that you absolutely must memorize some formulas. This PDF contains a list of math formulas the the ACT commonly tests.  \nPrint this out and carry it with you. That way, you can study a bit here and there andbefore you know it-you’ll have all the useful formulas memorized. Brilliant.  \n4  \nMust Know ACT Math Formulas  \nAverage  \nS/T  \n(Average = Sum/ Number of things)  \nIt’s also good to thin k of it as Sum = Average x Number of Things as the test will often give you the average and not the sum.  \nLines  \nSlope intercept form  \ny = mx + b (where m is the slope and b is the y-intercept)  \nSlope  \nGiven two points (x1 , y1) and (x2 , y2)  \nQuadrilaterals  \nPerimeter of a rectangle  \n2l + 2w (where l is the length and w is the width)  \n5  \nArea of a rectangle  \nlw (length x width)  \nVolume of a box  \nlw h (length x width x height)  \nSurface area of a rectangular solid  \n2lw + 2wh + 2lh  \nDiagonal in a rectangular solid  \nApply the Pythagorean theorem twice orl2 + w2 + h2 = d2  \nTriangles  \nArea of a triangle  \n½ bh (1/2 base x height)  \nCircles and Spheres  \nArea of a circle  \nπ r2 (where r is the radius of the circle)  \nCircumference of a circle  \n2πr (2pi x radius)  \n6  \nVolume of a sphere  \n4/3 π r3  \nCylinders:  \nVolume of a cylinder  \nπ r2 h (where r is the radius and h is the height)  \nPythagorean Theorem  \na2 + b2 = c2 (where a and b are the lengths of the sides that form the right angle, and c is the hypotenuse)  \nTrigonometry  \nSOHCAHTOA  \nsin x = opposite/hypotenuse cos x = adjacent/hypotenuse tan x = opposite/adjacent  \nTangent Identity  \nPythagorean Identity  \n7  \nRec","cbCairAwWMV55HrM","https://ap.wps.com/l/cbCairAwWMV55HrM","pdf",1415618,13,"English","# What to Know\n# What to Study\n# What Not to Study\n# Where to Start\n# Must Know ACT Math Formulas\n## Average, Lines, and Slope\n## Quadrilaterals and Core Geometry Areas/Volumes\n## Triangles and Circles/Spheres\n## Trigonometry and Identities\n## Probability and Counting Principles\n## Sequences and Additional Geometry Formulas","[{\"question\":\"How is the ACT Math section structured and timed?\",\"answer\":\"The ACT Math section is the second section, with a 60-minute time limit. It includes 60 multiple-choice questions, and you may use an approved calculator for the whole test.\"},{\"question\":\"Which topics should you study for ACT Math?\",\"answer\":\"Focus on geometry formulas for area, volume, and surface area; multiple-choice strategies like backsolving and substituting values; and foundational content including pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and very basic trigonometry.\"},{\"question\":\"What trigonometry topics should you avoid?\",\"answer\":\"Avoid trigonometry beyond the very basics. You should still know key basics such as SOH-CAH-TOA, solving right triangles, the unit circle, key trigonometric relations, and how sine, cosine, and tangent graphs look.\"}]","The ACT Math Test - Must Know ACT Math Formulas | PDF",1790761327,33]