Scholastic Math Inventory - Scholastic Education Product Support

Figure 9. SMI Grade 6 and up Formula Sheet.FormulasCirclesCircumference: C 5 2prArea: A 5 pr 2Surface AreaPrism: SA 5 sum of the area of all facesPyramid: SA 5 sum of the area of all facesCylinder: SA 5 2prh + 2pr 2Sphere: SA 5 4pr 2VolumePrism: V 5 Bh1Pyramid: V 5 Bh– 3Cylinder: V 5 pr 2 h1– 34–3Cone: V 5 pr 2 hSphere: V 5 pr 3KeyC 5 circumferenceA 5 areaSA 5 surface areaV 5 volumeB 5 base arear 5 radiush 5 heightPythagorean Theorem: a² + b² = c²where a and b are the lengths of the legsof a right triangle and c is the length ofthe hypotenuse.Distance Formula:d 5!§§§§§§(x 22x 1) 2 1 (y 22y 1) 2for points (x 1,y 1) and (x 2,y 2)Quadratic Formula:{b 6 !§§§§ bx 2 2 4ac5for ax 2 1 bx 1 c 5 02aSimple Interest: I 5 Prtwhere I 5 interest, P 5 principal,r 5 annual interest rate, and t 5 time(in years)Permutation: nP r5 n !(n 2 r)!where r is the number of items chosen froma set of n total items resulting in the totalnumber of permutationsCompound Annual Interest: A 5 P(1 1 –n ) ntwhere A 5 amount after interest is earned,P 5 principal, r 5 interest rate, n = number oftimes per year the interest is compounded, andt 5 time (in years)Combination: nC r5n !(n 2 r) ! r !where r is the number of items chosen froma set of n total items resulting in the totalnumber of combinationsrUsing the Scholastic Math Inventory47