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OG18-数学分册	The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50(x – 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
OG18-数学分册	Is the perimeter of square S greater than the perimeter of equilateral triangle T?(1) The ratio of the length of a side of S to the length of a side of T is 4:5.(2) The sum of the lengths of a side of S and a side of T is 18.
OG18-数学分册	David used part of $100,000 to purchase a house. Of the remaining portion, he invested $$\frac{1}{3}$$ of it at 4 percent simple annual interest and $$\frac{2}{3}$$ of it at 6 percent simple annual interest. If after a year the income from the two investments totaled $320, what was the purchase price of the house?
OG18 OG19 OG20 OG2022	Three printing presses, R, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take R, working alone at its constant rate, to do the same job?
OG19-数学分册	The toll T, in dollars, for a truck using a certain bridge is given by the formula $$ T = 1.50 + 0.50(x - 2)$$ , where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
OG19-数学分册	Is the perimeter of square S greater than the perimeter of equilateral triangle T? (1) The ratio of the length of a side of S to the length of a side of T is 4:5. (2) The sum of the lengths of a side of S and a side of T is 18.
300难题	Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 installed sprinklers? (1)The lawn is rectangular and its area is 32 square yards. (2)Each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards.
Ready4	If $x$ , $y$ , $b$ , and $t$ are all positive integers, $x=\frac{y}{5}+2$ and $t=\frac{b}{7}+<font color='#FE8080'>4</font>$ , is $b(t^{xy})$ an even number? (1) $3.5t-2$ is even (2) $\frac{b}{t}$ is even
	In the figure shown, triangle ABC is inscribed in the circle. What is the circumference of the circle?(1)AB is a diameter of the circle.(2)The ratio of the lengths of BC, AC, and AB, respectively, is 3 : 4 : 5.
	If I and k are lines in the xy-plane, is the product of the slopes of I and k equal to -1 ?(1)Line I passes through the origin and the point (1, 2).(2)Line k has x-intercept 4 and y-intercept 2.
300难题	The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2, 3, and 4 exactly once in each integer, what is the sum of these 24 integers?
Magoosh	Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
Ready4	Carbon dioxide comprises, on average, about 397 parts per million of the Earth's atmosphere, on a molecular basis. In an even sample of the Earth's atmosphere consisting of 4 billion molecules, approximately how many of those molecules would be expected to be carbon dioxide? (1 billion = 1,000,000,000)
Ready4	What is the median duration of a client engagement, billed in weeks, to the nearest week, at a particular company? Exactly 30 percent of the client engagements last 4 or more weeks. Exactly 40 percent of the client engagements last 2 or fewer weeks.
Ready4	The ratio of coupons Troy has to coupons Padma has is 9:4. After Troy gives Padma 6 of his coupons, the ratio of coupons Troy has to coupons Padma has will be 8:5. How many more coupons will Troy have than Padma after the 6 coupons are given?
181215	The elements in set B are twice as many as those in set A, and the intersection of AB is empty. $$\frac{1}{3}$$of the elements in set C come from A, and $$\frac{1}{4}$$from B. What is the proportion of intersection of A and C in set C?
190124	500 students chose courses. Students who didn't take a single course accounted for 1% of the total. Students who took 1, 2, 3 and 4 courses accounted for 50%, 30%, 10% and 9% of the total number of students respectively. What is the median of the number of the courses the students chose?
Ready4	The weights of all dishes of type $X$ are exactly the same, and the weights of all dishes of type $Y$ are exactly the same. Is the weight of 1 dish of type $X$ less than the weight of 1 dish of type $Y$ ? (1) The total weight of 3 dishes of type $X$ and 2 dishes of type $Y$ is less than the total weight of 2 dishes of type $X$ and 4 dishes of type $Y$ . (2) The total weight of 4 dishes of type $X$ and 3 dishes of type $Y$ is less than the total weight of 3 dishes of type $X$ and 4 dishes of type $Y$ .
Ready4	If $2$ different houses are to be selected at random from a group of $12$ houses on a street and if $p$ is the probability that both houses selected will have even address numbers, is $p < \frac{1}{2}$ ? (1) More than $\frac{1}{2}$ of the $12$ houses have even numbers. (2) The probability that both houses selected will have odd numbers is less than $\frac{1}{<font color='#FE8080'>4</font>}$ .
	M = {-6, -5, -4, -3, -2}T = {-2, -1, 0, 1, 2, 3}If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?