Massachusetts Tests for Educator Licensure (MTEL ) www.mtel.nesinc.com

Mathematics (09) Practice TestCandidates taking the Mathematics test (field 09) will be provided with the formulas shown below atthe test administration.FORMULASFormulaDescriptionV = 1 3 BhA = 4πr 2V = 4 3 πr 3Volume of a right circular cone and a pyramidSurface area of a sphereVolume of a sphereA = πr r 2 + h 2 Lateral surface area of a right circular coneS n= n 2 [2a + (n – 1)d] = n a + a n2 S n= a(1 – r n )1 – rSum of an arithmetic seriesSum of a geometric series∞n = 0ar n =a1 – r , ⏐r⏐ < 1 Sum of an infinite geometric seriesd = (x 2– x 1) 2 + (y 2– y 1) 2 Distance formula x 1+ x 2 2, y 1 + y 22m = ΔyΔx = y 2 – y 1x 2– x 1asin A =bsin B =csin Cc 2 = a 2 + b 2 – 2ab cos CMidpoint formulaSlopeLaw of sinesLaw of cosiness 2 =n (x i– _ x) 2i = 1n – 1Variances = rθx = –b ± b2 – 4ac2aArc lengthQuadratic formula3