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Ready4	If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 36. By how much do the two digits differ?
Ready4	If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 27. By how much do the two digits differ?
Ready4	If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
Ready4	If $a$ represents a single digit and the four-digit integer $a12a$ is divisible by 6, what is $a$ ?
Ready4	How many factors of 60 are even?
Ready4	Six distinct pairs of shoes are in a closet. If three shoes are selected at random from the closet, what is the probability that no two of the chosen shoes make a pair?
Ready4	A 20-liter mixture of water and apple juice contains juice and water in a ratio of 6 : 4. Ten liters of the mixture are removed and replaced with pure juice; then this process is repeated once more. At the end of the two removals and replacements, what is the ratio of juice to water in the resulting mixture?
Ready4	When Jacob closes the drain in his bathtub and turns on the cold water spigot, it takes him 3 minutes and 40 seconds to fill the tub completely. If he fills it from the hot water spigot instead, it takes him 5 minutes and 30 seconds to fill it completely. When the drain is opened in a completely full bathtub, it takes 11 minutes for the tub to empty. How many minutes will it take Jacob to fill the bathtub with both hot and cold water running simultaneously, if the drain is open and draining at a constant pace?
	Which of the following fractions has the greatest value?
PREP07 Test 2	For each country listed in the left column of the table, the number in the right column gives the number of units of Country X currency that is equivalent to 1 unit of the country's currency. Which of the following is equivalent to the greatest number of units of Country X currency?
OG12 OG15	If n is a positive integer, then n(n + l)(n + 2) is
190321	Regular hexagon ABCDEF is inscribed on circle O whose radius is 5. What is the area of the shaded area?
Ready4	If $r$ is an integer and $s = (2r+1)^2$ , which of the following CANNOT be a divisor of $r$ ?
Ready4	Running at their respective constant rates, Machine X takes 2 days longer to produce $w$ widgets than Machine Y. At these rates, if the two machines together produce $\frac{5}{<font color='#FE8080'>4</font>}w$ widgets in 3 days, how many days would it take Machine X alone to produce $2w$ widgets?
Ready4	How many integer values of $a$ satisfy the inequality $\|a-5 \| \leq 2.5$ ?
Ready4	The sum $\frac{3}{8} + \frac{2}{9}$ is between
Ready4	The ages of all children in Group A are the same, and the ages of all children in Group B are the same. Is the age of a child in Group A less than the age of a child in Group B? The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B. The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
OG15 OG16 OG17 OG18	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	The number of visible stars in the night sky, $T$ , can be estimated by the formula $T=\left ( \tfrac{<font color='#FE8080'>4</font>\pi L^2}{A} \right )N$ $,$ where $N$ is the number of stars counted through a tube with length $L$ , in centimeters, and a circular mouth of area $A$ , in square centimeters. Based on the formula, what is the estimated number of visible stars in the night sky if 240 stars are observed through a tube 10 feet long with a mouth of radius of 4 feet? (1 foot = 30.48 centimeters)
300难题	If d=$$\frac{a+b}{1+\frac{ab}{c^{2}}}$$ ,a=$$\frac{c}{2}$$,and b=$$\frac{3c}{4}$$,what is the value of d in terms of c ?