{"id":22855,"date":"2023-07-13T04:32:17","date_gmt":"2023-07-12T23:02:17","guid":{"rendered":"https:\/\/ischoolprep.com\/blog\/?p=22855"},"modified":"2025-09-25T17:45:18","modified_gmt":"2025-09-25T12:15:18","slug":"sat-math-formulas-key-formulas-to-memorize","status":"publish","type":"post","link":"https:\/\/ischoolprep.com\/blog\/sat-math-formulas-key-formulas-to-memorize\/","title":{"rendered":"SAT Math Formulas: 12 Key Formulas, Practice Tips, and More"},"content":{"rendered":"\r\n

Introduction<\/b><\/h2>\r\n

The <\/span>SAT exam<\/span><\/a> can seem challenging, but armed with the right tools, including the SAT math formulas, your path to achieving a high score can be smoother. These formulas aren\u2019t just mathematical expressions; they\u2019re keys to unlocking the numerous problem-solving doors in the SAT Math section. As stated by the College Board, the Math section makes up 50% of the total SAT score, indicating its critical role. Let\u2019s take a deep dive into understanding, learning, and memorising these indispensable formulas.<\/span><\/p>\r\n

What is the SAT Math Formula Sheet?<\/b><\/h2>\r\n

The <\/span>SAT math section<\/span><\/a> is divided into two portions: one allows the use of a calculator, and the other does not. However, the comforting fact is that you\u2019re provided with a SAT maths formula sheet at the beginning of each Math section. This formula sheet offers you a set of basic formulas and conversions. Some standard\u00a0 <\/span>SAT maths<\/span><\/a> formulas include area and volume formulas, quadratic formulas, circle properties, and some trigonometric ratios.<\/span><\/p>\r\n

However, it\u2019s important to note that this sheet doesn\u2019t contain all the formulas you might need to answer every question. It implies the necessity to have specific additional SAT<\/a> math formulas at your fingertips.<\/p>\r\n

Here\u2019s what it usually contains:<\/span><\/p>\r\n

Geometry Formulas<\/h3>\r\n
    \r\n
  • Area of a Circle: <\/b>A=\u03c0r2A = \\pi r^2A=\u03c0r2<\/span>
    <\/span><\/li>\r\n
  • Circumference of a Circle:<\/b> C=2\u03c0rC = 2\\pi rC=2\u03c0r<\/span>
    <\/span><\/li>\r\n
  • Area of a Rectangle: <\/b>A=lwA = lwA=lw<\/span>
    <\/span><\/li>\r\n
  • Area of a Triangle:<\/b> A=12bhA = \\tfrac{1}{2} bhA=21\u200bbh<\/span>
    <\/span><\/li>\r\n
  • Pythagorean Theorem:<\/b> a2+b2=c2a^2 + b^2 = c^2a2+b2=c2<\/span>
    <\/span><\/li>\r\n
  • Volume of a Rectangular Solid: <\/b>V=lwhV = lwhV=lwh<\/span>
    <\/span><\/li>\r\n
  • Volume of a Cylinder:<\/b> V=\u03c0r2hV = \\pi r^2 hV=\u03c0r2h<\/span>
    <\/span><\/li>\r\n
  • Volume of a Sphere:<\/b> V=43\u03c0r3V = \\tfrac{4}{3}\\pi r^3V=34\u200b\u03c0r3<\/span>
    <\/span><\/li>\r\n
  • Volume of a Cone:<\/b> V=13\u03c0r2hV = \\tfrac{1}{3}\\pi r^2 hV=31\u200b\u03c0r2h<\/span><\/li>\r\n
  • Volume of a Pyramid:<\/b> V=13BhV = \\tfrac{1}{3}BhV=31\u200bBh (where BBB is the base area)<\/span><\/li>\r\n<\/ul>\r\n

    Algebra & Other Notes<\/span><\/h3>\r\n
      \r\n
    • Standard equation of a circle:<\/b> (x\u2212h)2+(y\u2212k)2=r2(x – h)^2 + (y – k)^2 = r^2(x\u2212h)2+(y\u2212k)2=r2<\/span>
      <\/span><\/li>\r\n
    • Distance formula:<\/b> (x2\u2212x1)2+(y2\u2212y1)2\\sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}(x2\u200b\u2212x1\u200b)2+(y2\u200b\u2212y1\u200b)2\u200b<\/span>
      <\/span><\/li>\r\n
    • Midpoint formula:<\/b> (x1+x22,y1+y22)\\left( \\tfrac{x_1 + x_2}{2}, \\tfrac{y_1 + y_2}{2} \\right)(2×1\u200b+x2\u200b\u200b,2y1\u200b+y2\u200b\u200b)<\/span><\/li>\r\n<\/ul>\r\n

      Although these formulas are not included in the SAT maths formula sheet, knowing them can save you precious time during the test.<\/span><\/p>\r\n

      Additional Essential Formulas<\/strong><\/h2>\r\n

      In addition to the ones previously mentioned, here are a few more critical SAT maths formulas that are likely to come in handy during the test:<\/span><\/b><\/p>\r\n

        \r\n
      • Average (Arithmetic mean):<\/b> Average = (Sum of terms)\/ (Number of terms)<\/span><\/li>\r\n
      • Percentages: <\/b>Percent Change = [(Final value \u2013 Initial value)\/ Initial value] x 100%<\/span><\/li>\r\n
      • Probability:<\/b> Probability = Number of favourable outcomes \/ Total number of outcomes.<\/span><\/li>\r\n
      • Exponent rules:<\/b> For any non-zero number a, (a^n)\/(a^m) = a^(n-m), a^n * a^m = a^(n+m), (a^n)^m = a^(nm).<\/span><\/li>\r\n
      • SOHCAHTOA (For right triangles):<\/b> Sine = Opposite\/Hypotenuse, Cosine = Adjacent\/Hypotenuse, Tangent = Opposite\/Adjacent.<\/span><\/li>\r\n<\/ul>\r\n

        Understanding these formulas and their applications can equip you with the necessary mathematical tools to answer a range of SAT maths problems.<\/span><\/p>\r\n

        \u00a0<\/div>\r\n