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 |