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ACT/SAT Math Jeopardy Answer Key

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ACT Math I
#1 A car averages 27 miles per gallon. If gas costs $4.04 per gallon, about how much was the gas for this car to travel 2,727 typical miles? $408.04
#2 A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How many hours of work are included in a $210 bill for a consultation? 4
#3 What is the value of x when 2x + 3 = 3x 4 ? 7
#4 The expression (4z + 3)(z and#8722; 2) is simplified to: 4z2 and#8722; 5z and#8722; 6
#5 If 40% of a given number is 8, then what is 15% of the given number? SAT
#5 Educated guesses and guesses are better than leaving me blank ACT
SAT Math
#1 A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, 2 times; and each sophomore's name, 1 time. What is the probability that a senior's name will be chosen? 3/8
#2 What is the result when 436,921 is rounded to the nearest thousand and then expressed in scientific notation? 4.37 x 10^5
#3 For the first part of his bike trip, Dag rode down a hill at X miles per hour for T hours. For the rest of his trip, Dag rode up a hill at half that speed for twice as long. What was Dag's average speed, in miles per hour, for his entire trip? 2/3X
#4 A wire bent in the form of a circle of radius 21units is cut and bent to form a square. What is the ratio of area of circle to that of the square? 14:11
#5 A shopkeeper has three kinds of rice of 77 pounds, 147 pounds and 252 pounds. Find the least number of bags of equal size required to pack them without mixing. 68
SAT Math II
#1 A cube and a rectangular solid are equal in volume. If the lengths of the edges of the rectangular solid are 4, 8 and 16, what is the surface area of the cube? 384
#2 Twenty persons, among whom A and B, sit at random around a round table. Find the probability that there are any 6 persons between A and B. 2/19
#3 The flowers in a basket become double after every minute. In one hour, the basket becomes full. After how many minutes the basket would be half filled? 59
#4 A person had 72 mangoes, he had given them to three persons A, B and C, in such a manner that A got thrice as many as B, and the sum total of mangoes A and B got was 60. He had given the remaining mangoes to C. Express in decimal the fraction of mangoes C got out of the total. .167
#5 A monkey climbs a slippery pole by thrusts. The pole is 30 feet high. With every thrust, it goes up 5 feet in 5 seconds and slips down 3 feet in 1 second. How many seconds will it take to climb the pole? 82
Final Question
A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red? 35