2016SHSAT_English

​​​Sample Test – mathematicsExplanations of Correct Answers AForm51. (E) 100(2 1 0.1) 2 2 100____ 10257. (B) 0.00102 ​5 100(2.1) 2 N ​2 1005 100(4.41) 2 100________ 100,0005 441 2 100100,000 ​• (0.00102) ​ ____ 102N ​5 341_________ 102100,000 ​ ​ ____ 102N ​52. (J) ​__4 5 ​ P 48N 100,000​1 __5 ​ P ​ ___ 484 ​ 1258. (F) Since Frances’ age (F) is given, use thatinformation to find Judy’s age (J):​3 __ ​ P 12 • 3 36J 2F 2 • 15 305So, Judy is 30 years old. Now, use thatinformation to calculate Carmen’s age (C):53. (C) First, use the given information to calculate thevalue of b:C n JC n 30​a __b ​ 5 2 ​ __ 8b ​ 5 2 8 = 2b 4 = bC 30 – nNow, calculate 3b 1 a 2 by substituting59. (B) Since 5.6 ricks and 12.88 dalts are both equala 5 8 and b = 4:to 1 sind, then 5.6 ricks 12.88 dalts. To3(4) 1 (8) 2 5 12 1 64 5 76calculate the number of dalts (d) in 1 rick, setup a proportion:54. (J) Multiply the numerator and denominator by 100​______5.6to eliminate the decimals:12.88 ​ 5 ​ __ 1d ​3.99 4 1.5 55.6d 12.88_____ 3.99(1.5 ​ ____)(​ 100100 ​ ) = ​____399150 ​= ​133 ____ ​= ​266 ____d 2.3​= 2.6650 100Note: You could also solve this equation using 60. (H) According to the chart, 22% of people walk tolong-division.work and 4% ride a bicycle. Subtract to findthe percentage of how many more people walkthan bicycle:55. (C) To calculate the midpoint of a segment, add thevalues of the two endpoints and divide by 2:22% 4% 18%Midpoint of ___​ PQ​ ​ _________ 2 ( 6) ​ 2To find the exact number of people, multiply2Midpoint of ___18% (0.18) by the number of people working in​ QR​ ​ ______ 6 22 ​ 4Center City (15,000):15,000 • 0.18 2,700To find how many units from one midpoint tothe other, subtract the midpoint values:4 – ( 61. (A) Since the figure is drawn to scale, use the values2) 6from the grid to solve:(c, d) (1, 3) and (a, b) ( 2, 1)56. (J) Since Jack scored a mean of 15 points perThen, c a 1 ( 2) 1, andgame in each of the first 3 games, he must haveearned a total of 45 points for the first threed b 3 1 4.games by definition. Use that information toThe point ( 1, 4) is point R on the graph.calculate the mean over the four games:_______ 45 1 27 72​ 5 ​ ___4 4 ​ 5 1864