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PREP07 Test 1	$$\frac{({8}^{2})({3}^{3})({2}^{4})}{96^2}$$
300难题	If m and n are positive integers, what is the value of $$\frac{3}{m}+\frac{n}{4}$$ ? 1.mn=12 2.$$\frac{3}{m}$$ is in lowest terms and $$\frac{n}{4}$$ is in lowest terms.
Ready4	If $x=-1$ , then $x^<font color='#FE8080'>4</font>-x^3+x^2-x^1+x^0=$
KMFPS	A rectangular yard (white area) is surrounded by a hedge (shaded region) with a length of 15 meters and a width of 12 meters, as shown in the figure above. The area of the yard is equal to the area of the hedge. If the ratio of the length of the hedge to the width of the hedge is the same as the ratio of the length of the yard to the width of the yard, what is the width, in meters, of the yard?
PREP07 Test 1	Which of the following is equal to the value of $${2}^{5}+{2}^{5}+{3}^{5}+{3}^{5}+{3}^{5}$$ ?
Ready4	In a rectangular coordinate system, point $R$ lies on the $y$ -axis and has coordinates $(0,6)$ . If point $S$ lies on the negative $x$ -axis and the area of the triangle formed by connecting the origin, $R$ , and $S$ is $24$ , what is the $x$ -coordinate of $S$ ?
Manhattan	During the summer of 1778, seeking to find alternative explanations for the process of evolution, Jean-Baptiste Lamarck repeated his initial experiment on mollusks once in every 4 weeks but received exactly the same results 3 times in a row.
	The symbol $$\Delta$$ denotes one of the four arithmetic operations: addition, subtraction, multiplication, or division. If 6 $$\Delta 3 \le 3$$, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=4
Magoosh	Jack has 5 cats and 1 dog. If the dog's weight is 3 times the average (arithmetic mean) weight of the cats, then the dog's weight is what fraction of the total weight of all 6 animals?
Magoosh	If$$\frac{1}{x} = 0.4$$, then $${1}\over{x+2} =$$
Magoosh	In a group of children, the average (arithmetic mean) weight of the boys is 60 pounds, and the average weight of the girls is 48 pounds. If the average weight of all of the children in the group is 50 pounds, what is the ratio of the number of boys to the number of girls?
Magoosh	In the diagram above, angle C = 90º and AC = BC. Point M is the midpoint of AB. Arc AXB has its center at C, and passes through A and B. Arc AYB has its center at M and passes through A and B. The shaded region between the two arcs is called a "lune." What is the ratio of the area of the lune to the area of triangle ABC?
OG19 OG20 OG2022	In a set of 24 cards, each card is numbered with a different positive integer from 1 to 24. One card will be drawn at random from the set. What is the probability that the card drawn will have either a number that is divisible by both 2 and 3 or a number that is divisible by 7 ?
OG19 OG20 OG2022	Which of the following fractions is closest to $$\frac{1}{2}$$
OG19-数学分册	Of all the students in a certain dormitory, $$\frac{1}{2}$$ are first year students and the rest are second-year students. !f $$\frac{4}{5}$$ 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?
OG19-数学分册	The price of a certain stock increased by 0.25 of 1 percent on a certain day. By what fraction did the price of the stock increase that day?
Ready4	In a town, 25 percent of the population are miners by profession, and 16 percent of the population are employed miners. What percent of the miners in the town are not employed?
Ready4	At his regular hourly rate, Ed estimated the cost of a research task to be $528 and he was paid that amount. However, the job took 8 hours less time than he had estimated and, consequently, he earned $11 per hour more than his regular hourly rate. What was the time Ed took to complete the task, in hours?
Ready4	If 5 is one solution of the equation $x^{2} + 4 x + m = 5$ , where m is a constant, what is the other solution?
Ready4	A game is played with a deck of cards all numbered with either 2, 3, 5, or 7 spots. The point value of a card is its number of spots, unless it is a red card, in which case the point value of the card is 13. In one instance, eleven cards are drawn from the container. If the product of the point values of the removed cards is 5,733,000, how many black 7-spot cards were drawn?