2016SHSAT_English

​Sample Test – MathematicsExplanations of Correct AnswersBFormrepeating decimal. Thus, the correct answermust contain two non-repeating decimals,which is option D: ​__1 4 ​ ​ 1__5 ​82. (J) 1 L 1,000 mL1 L (1,000)(1,000) cu mm 1,000,000 cu mm83. (B) If the song is 5 minutes long, then it could beplayed up to 60 4 5 5 12 times per hour. Thereare 9 hours between 8:00 a.m. and 5:00 p.m.So, the song could be played up to 12 3 9 5 108possible times between the given hours. Sincethe song is played 6 times per day, the probabilityof Samantha hearing the song is ​____6108 ​ 5 ​ ___ 118 ​.84. (F) To find the speed of the plane, divide the milestravelled by the number of hours:First leg: 900 miles 4 2 hours 450 mphSecond leg: 1,400 miles 4 2​1__ ​ hours 560 mph2The question asks how much greater thespeed was in the second leg than in the first,so subtract: 560 – 450 110 mph85. (B) Let x be the number of gallons of water the tankholds when completely full. Use the informationin the first sentence to set up the equation:​4__5 ​x ​ 1__ ​x 213___ 1215 ​x – ​ ___ 5​x 21157x 15 • 21x 45 gallons86. (J) First, set up an equation to express Tom’s age(T) and Jordan’s age (J) today:T ​1__4 ​ JTwo years from now, Tom’s age will be T 2and Jordan’s age will be J 2. Use that informationand the information from the secondsentence in the question to set up an equationabout the relationship between Tom’s age andJordan’s age in two years:T 1 2 5 ​1__ ​ (J 2)3Simplify the above equation for T:T ​__1 (J 2) – 23Now, set the two equations equal to each otherand solve for J:​1__4 J ​ 1__ (J 2) – 23​1__4 J ​ 1__3 J – ​4 __3 ​Multiply both sides of the equation by thecommon denominator (12):12 (​1__4 J) 12 (​ 1__3 J – ​ 4__3 ​)3J 4J – 16J 1687. (C) First, simplify N: N 5 (3 2 8 1 4) 5 ( 1) 5 1Then, find |N|: |N| 5 |1| 5 188. (G) First, find the amount by which Joe is currentlyexceeding the speed limit of 55 miles per hour:65​1__2 ​ 55 10​ 1__2 ​ mphHe increased his speed at a rate of 1​__1 2 ​ mpheach half-minute, or 3 mph every minute.To determine how many minutes he has beenexceeding the speed limit, divide:10​1__2 ​ 3 ​ 7__2 ​ 3​ 1__2 ​ minutes89. (A) The question asks for the number of positivetwo-digit numbers evenly divisible by 4. Thesmallest such number is 12 (4 3), and thelargest is 96 (4 24). Thus, the two-digitnumbers evenly divisible by 4 are 4 3,4 4, 4 5, and so on up to 4 24.To find how many such numbers there are,subtract the lowest value from the greatestvalue: 24 – 3 21.However, since each endpoint is included(4 3 and 4 24), add 1 to that value to getthe exact count of the numbers: 21 1 22105