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OG18-数学分册
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Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other's point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?(1)At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.(2)Train Q averaged a speed of 55 miles per hour for the entire trip.
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What is the value of $${v}^{3}-{k}^{3}$$?(1)$$v k > 0$$(2)$$v - k = 6$$
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PREP07 Test 1
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An attorney charged a fee for estate planning services for a certain estate. The attorney's fee was what percent of the accessed value of the estate?(1)The accessed value of the estate was $1.2 million.(2)The attorney charged $2,400 for the estate planning services.
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Is the sum of the integers x and y a prime number?(1)x is an even prime number.(2)y is a prime number between 10 and 20.
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OG18-数学分册
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A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card?(1)The units digit of the sum of the numbers on the remaining 35 cards is 6.(2)The sum of the numbers on the remaining 35 cards is 176.
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PREP07 Test 1
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A construction company was paid a total of $500,000 for a construction project. The company's only costs for the project were for labor and materials. Was the company's profit for the project greater than $150,000?(1)The company's total cost was three times its cost for materials.(2)The company's profit was greater than its cost for labor.
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OG18-数学分册
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The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is $$\frac4 3\pi$$, what is the length of line segment RU?
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OG17 OG18 OG19 OG20 OG2022
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When n liters of fuel was added to a tank that was already $$\frac1 3$$ full, the tank was filled to $$\frac7 9$$ of its capacity. In terms of n, what is the capacity of the tank, in liters?
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OG18-数学分册
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Of all the students in a certain dormitory, $$\frac1 2$$ are first-year students and the rest are second-year students. If $$\frac4 5$$ of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
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OG12 OG15 OG16 OG17 OG18
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At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?
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OG16 OG17 OG18
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If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990, what is the least possible value of n?
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Last year, 36 houses in a certain development had roof repairs and 48 houses were repainted. If 20 houses in the development had roof repairs but were not repainted last year, how many houses were repainted but did not have roof repairs?
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 The figure shown represents a board with 4 rows of pegs, and at the bottom of the board are 4 cells numbered 1 to 4. Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening. The ball then has the probability $$\frac1 2$$ of passing through the opening immediately to the left of that peg and probability $$\frac1 2$$ of passing through the opening immediately to the right. What is the probability that when the ball passes through the first two pegs at the top it will end in Cell 2?
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The function f is defined by $${f}({x})=-\frac{1} x$$ for all nonzero numbers x. If $${f}({a})=-\frac1 2$$ and $${f}({a}{b})=\frac1 6$$, then b =
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If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?
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OG16 OG17 OG18 OG19 OG20 OG2022
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 The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?
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If the average (arithmetic mean) of positive integers x, y, and z is 10, what is the greatest possible value of z ?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In the first week of the year, Nancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?
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OG17
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The average (arithmetic mean) score on a test taken by 10 students was x. If the average score for 5 of the students was 8, what was the average score, in terms of x, for the remaining 5 students who took the test?
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During a spring season, a certain glacier surged at the rate of 1 mile per 100 days. What was its rate in feet per hour? (1 mile = 5,280 feet)
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