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
#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