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Includes geometry area and circumference for circles, rectangles, triangles, and volumes for prisms, cylinders, spheres, cones, and pyramids, plus percentage, fraction, interest, and rate/ratio conversions. Covers exponent, root, and polynomial rules, key parabola forms with intercepts and discriminant concepts, coordinate-geometry line graphing formulas, data and probability relationships, angle and triangle/circle theorems, polygon area/angle sums, trigonometry identities, and transformation rules for parent graphs.","The Ultimate Formula Sheet for SAT Math  \nThese formulas are provided in the reference information atthe beginning of each SAT math section:  \nArea of a Circle: A = π r2  \nCircumference of a Circle: C = 2π r  \nArea of a Rectangle: A = lw  \n1  \nArea of a Triangle: A = ~~ ~~ bh 2  \nPythagorean Theorem: a2 + b2 = c 2  \nVolume of a Rectangular Prism (Box): V = lwh  \nVolume of a Cylindar: V = π r2h  \nVolume of a Sphere: V = ~~ ~~43~~ ~~ π r3  \nVolume of a Cone: V = ~~ ~~13~~ ~~ π r2h  \nSpecial Right Triangles: Volume of a Pyramid: V = ~~ ~~13lwh  \nFractions, Decimals, and Percentages: (for this section, r is the percent in decimal form)  \nFraction = part  whole  \npercent = ~~ ~~p1a0rt0  \nPercent Increase or Decrease:  old− new   ×100%  \nold  \nIncrease by a percent: multiply by (1+ r)  \nDecrease by a percent: multiply by (1 − r)  \nSimple Interest: A = P(1+ rt)  \nInterest Compounded Annually: A = P(1+ r)t Interest Compounded n times per year:  \nA = P 􀂧􀂨􀂩 1 + ~~ ~~rn~~ ~~ 􀂷􀂹􀂸 nt  \n\n| Rates, Ratios, and Proportions: |  |\n| --- | --- |\n| General form of a conversion factor: | Concentration of A x Volume of A |\n| 􀂧 ending_ units 􀂷\u003Cbr>􀂩􀂨 starting_ units 􀂹􀂸 | + Concentration of B x Volume of B\u003Cbr>= Final concentration (Vol. of A + Vol. of B)\u003Cbr>Distance = Rate x Time |\n| Example: 10feet􀂧􀂨􀂩 ~~ ~~121inchfootes~~ ~~ 􀂷􀂹􀂸 = 120inches |  |\n\nExponents, Roots, & Polynomials:  \nMultiplication Rule for Exponents: ab ⋅ac = ab+c  \nDivision Rule for Exponents: a  = ab−c  \na  \nPower Rule for Exponents: ( ab )c = abc  \n−b 1  \nNegative Exponents: a =  ab  \nFractional Exponents: a ~~ ~~ = cab or ( ca )bi 2 = − 1 ; i 3 = −i ; i 4 = 1  \ni 4 n = 1 ; i 4 n+1 = i ; i 4 n+2 = − 1 ; i 4 n+3 = −i  \nParabolas:  \nStandard Form: f (x ) = ax 2 + bx + c ;  \n􀂧  b  􀂧  b 􀂷􀂷 vertex= 􀂩􀂨 − 2a , f 􀂨􀂩 − 2a 􀂹􀂸 􀂹􀂸 ;  \ny-intercept = c;  \n−b± b2 − 4ac x-intercepts = ~~ ~~  \n2a Sum of solutions =   \nDiscriminant = b2 − 4ac ; Pos=2 real roots Zero=  \n1 real root; Neg=2 imaginary roots Factored Form: f (x ) = a(x− m)(x − n) ;  \nx-intercepts are m and n;  \nx-coordinate of vertex = m+ n  \n2  \nVertex Form: f (x ) = a(x − h)2 + k ;  \nvertex = (h, k)  \nDifference of Squares: a2 − b2 = (a+ b)(a− b)  \nPerfect Square Trinomial: a2 + 2ab + b2 = ( a+ b)2 and a2 − 2ab + b2 = ( a− b)2  \n2 􀂧  b  􀂷 2 􀂧  b  􀂷 2  \nCompleting the Square: x + bx + 􀂩􀂨 2 􀂹􀂸 = 􀂩􀂨 x + 2 􀂹􀂸  \n\n| Graphing Lines:\u003Cbr>Slope Formula: m = ~~ ~~yx~~2~~2~~ ~~−yx~~1~~1 Slope of horizontal line = 0 Slope of vertical line = undefined\u003Cbr>| Standard Form: Ax +By = C\u003Cbr>Slope-Intercept Form: y = mx + b\u003Cbr>Point-Slope Form: y − y1 = m(x − x1 )\u003Cbr>Distance Formula: d = (x2 − x1 )2 + (y2 − y1 )2\u003Cbr>Midpoint Formula: M = 􀂧􀂩􀂨 x~~1 ~~+2x~~2 ~~ , ~~ ~~y~~1 ~~+2y~~2 ~~􀂷􀂹􀂸\u003Cbr>Parallel lines: equal slopes\u003Cbr>⊥ Lines: slopes are opposite reciprocals |\n| --- | --- |\n| Data and Probability: |  |\n|  sum_of_items  average = number _of_items median = middle_ number | range = maximum−minimum\u003Cbr> desired_ outcomes  probability =\u003Cbr>possible_ outcomes |\n\nAngles:  \nVertical ∠’ s are ≅  \n∠’s that form a linear pair are supplementary (add up to 180°)  \n∠’ s that form a circle add up to 360°  \nWhen ∥ lines are cut by a transversal, all acute ∠’ s are ≅ and all obtuse ∠’ s are ≅  \nTriangles:  \nThe three ∠’ s of a ∆ add up to 180° An exterior ∠ is equal to the sum of the two remote interior ∠’ s  \nCircles:  \nA radius and tangent make a right ∠  \nPythagorean Triples: 3-4-5 and 5-12-13  \nA central ∠ is double the inscribed ∠  \nx arc  \n~~ ~~ = ~~  ~~360 circumference  \nand  \nx sector  \n~~ ~~ = ~~ ~~ where x = central angle 360 area_ of_ circle  \nFormula for a Circle: (x − h)2 + (y − k)2 = r 2 , where (h, k) is the center and r is the radius  \nPolygons: (for this section, n is the number of sides)  \nArea of a trapezoid: 12~~ ~~ (b1 + b2 )h  \nSum of the interior angles: 180(n− 2)  \nSum of the exterior angles: 360°  \nProperties of Parallelograms:  \n1. Opp sides are ∥ and ≅  \n2. Opp ∠’ s are ≅  \n3. Consec ∠’s are supplementary  \n4. Each diagonal forms a pair of ≅∆’s  ","cbCaitzB6rRjiU9z","https://ap.wps.com/l/cbCaitzB6rRjiU9z","pdf",279693,28,"English","en",105,"# SAT Math Reference Formulas\n## Geometry and Measurement\n## Fractions, Percentages, Rates, and Interest\n## Exponents, Roots, Polynomials, and Parabolas\n## Graphing Lines and Coordinate Geometry\n## Data, Probability, Angles, and Triangles\n## Circles, Polygons, and Trigonometry\n## Parent Graphs and Transformations","[{\"question\":\"What main math topics are covered in this SAT math formula sheet?\",\"answer\":\"It groups formulas for geometry and volume, fractions/decimals/percentages and rates, algebra with exponents and polynomials, graphing lines and distance/midpoint, data and probability, angles and triangles, circles and polygons, trigonometry, and transformations of parent graphs.\"},{\"question\":\"How are percentages represented in the fractions/percent section of the sheet?\",\"answer\":\"The sheet states that, for this section, r is the percent written in decimal form. It then provides formulas for fraction/percent relationships and for percent increase or decrease using old and new values.\"},{\"question\":\"Which parabola-related formulas are listed?\",\"answer\":\"The sheet includes standard form, vertex information, y-intercept, x-intercepts via the discriminant, factored form, and vertex form. It also includes completing the square guidance.\"}]","SAT Math Formula Sheet | PDF",1789407108,{"code":4,"msg":81,"data":82},"ok",{"site_id":75,"language":74,"slug":83,"title":65,"keywords":84,"description":66,"schema_data":85,"social_meta":139,"head_meta":141,"extra_data":143,"updated_unix":79},"sat-math-formula-sheet","",{"@graph":86,"@context":138},[87,101,121],{"@type":88,"itemListElement":89},"BreadcrumbList",[90,94,96,99],{"item":91,"name":92,"@type":93,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":95,"name":9,"@type":93,"position":14},"https://docshare.wps.com/document/",{"item":97,"name":20,"@type":93,"position":98},"https://docshare.wps.com/document/exam/",3,{"item":100,"name":65,"@type":93,"position":19},"https://docshare.wps.com/document/sat-math-formula-sheet/266402/",{"url":100,"name":65,"@type":102,"image":103,"author":108,"headline":65,"publisher":110,"fileFormat":113,"inLanguage":74,"description":66,"dateModified":114,"datePublished":115,"encodingFormat":113,"isAccessibleForFree":116,"interactionStatistic":117},"DigitalDocument",{"url":104,"@type":105,"width":106,"height":107},"https://docshare.wps.com/thumbnails/sat-math-formula-sheet/266402.png","ImageObject",300,407,{"name":63,"@type":109},"Person",{"url":91,"name":111,"@type":112},"DocShare","Organization","application/pdf","2026-11-04","2026-09-14",true,{"@type":118,"interactionType":119,"userInteractionCount":72},"InteractionCounter",{"@type":120},"ViewAction",{"@type":122,"mainEntity":123},"FAQPage",[124,130,134],{"name":125,"@type":126,"acceptedAnswer":127},"What main math topics are covered in this SAT math formula sheet?","Question",{"text":128,"@type":129},"It groups formulas for geometry and volume, fractions/decimals/percentages and rates, algebra with exponents and polynomials, graphing lines and distance/midpoint, data and probability, angles and triangles, circles and polygons, trigonometry, and transformations of parent graphs.","Answer",{"name":131,"@type":126,"acceptedAnswer":132},"How are percentages represented in the fractions/percent section of the sheet?",{"text":133,"@type":129},"The sheet states that, for this section, r is the percent written in decimal form. It then provides formulas for fraction/percent relationships and for percent increase or decrease using old and new values.",{"name":135,"@type":126,"acceptedAnswer":136},"Which parabola-related formulas are listed?",{"text":137,"@type":129},"The sheet includes standard form, vertex information, y-intercept, x-intercepts via the discriminant, factored form, and vertex form. It also includes completing the square guidance.","https://schema.org",{"og:url":100,"og:type":140,"og:title":65,"og:site_name":111,"og:description":66},"article",{"robots":142,"canonical":100},"index,follow",{"doc_id":61,"site_id":75}]