Mathematics Formula Sheet & Explanation The Mathematical Reasoning test contains a formula sheet, which displays formulasrelating to geometric measurement and certain algebra concepts. Formulas are provided to test-takers so that they may focus on application, rather than the memorization, of formulas. Area of a: 2 square A= s rectangle A = lw parallelogram A = bh triangle A= trapezoid A= circle A = πr ! ! ! ! bh h(b1 + b2) 2 Perimeter of a: square rectangle P = 4s P = 2l + 2w triangle Circumference of a circle P = s 1 + s 2 + s3 C = 2πr OR C = πd; π ≈ 3.14 Surface area and volume of a: rectangular prism SA = 2 lw + 2 lh + 2 wh V = lwh right prism SA = ph + 2B V = Bh cylinder SA = 2 πrh + 2πr pyramid SA = cone SA = πrs + πr sphere ! ! 2 SA = 4 πr 2 V = πr h ! V = Bh ! ps + B 2 2 ! V = πr2h ! ! V = πr3 ! (p = perimeter of base with area B; π ≈ 3.14) Data mean mean is equal to the total of the values of a data set, divided by the number of elements in the data set median median is the middle value in an odd number of ordered values of a data set, or the mean of the two middle values in an even number of ordered values in a data set Algebra !! − !! !! − !! slope of a line != slope -intercept form of the equation of a line y = mx + b point-slope form of the equation of a line y – y1 = m(x – x1) standard form of a quadratic equation y = ax + bx + c quadratic formula 2 != −! ± ! ! − 4!" 2! 2 Pythagorean theorem a + b2 = c 2 simple interest I = Prt (I = interest, P = principal, r = rate, t = time) distance formula d = rt total cost total cost = (number of units) × (price per unit)