题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
81	If k is a positive integer, what is the remainder when $$(k + 2)({k}^{3} – k)$$ is divided by 6 ?
82	Which of the following fractions is closest to $$\frac{1}{2}$$?
83	If p $$\neq 0$$ and $$p - \frac{1-p^{2}}{p} = \frac{r}{p}$$, then r =
84	If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x ?
85	What number is 108 more than two-thirds of itself?
86	A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent was the prescribed dosage greater than the typical dosage?
87	Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?
88	The function f is defined by $${f}({x})=\sqrt x-{10}$$ for all positive numbers x. If $$u = f(t)$$ for some positive numbers $$t$$ and $$u$$. What is t in terms of $$u$$?
89	A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
90	If m and p are positive integers and$$ m^{2} + p^{2} < 100$$, what is the greatest possible value of mp ?
91	If $$\frac{x}{y}=\frac{c}{d}$$ and $$\frac{d}{c}=\frac{b}{a}$$, which of the following must be true?I. $$\frac{y}{x} = \frac{b}{a}$$II. $$\frac{x}{a} = \frac{y}{b}$$III. $$\frac{y}{a} = \frac{x}{b}$$
92	If k is an integer and $$({0.0025})({0.025})({0.00025})\times{10}^{k}$$ is an integer, what is the least possible value of k?
93	If a(a + 2) = 24 and b(b + 2) = 24, where $$ a\neq b,$$ then a + b =
94	In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
95	In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?
96	A manufacturer makes and sells 2 products, P and Q. The revenue from the sale of each unit of P is $20.00 and the revenue from the sale of each unit of Q is $17.00. Last year the manufacturer sold twice as many units of Q as P. What was the manufacturer's average (arithmetic mean ) revenue per unit sold of these 2 products last year?
97	On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?
98	A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?
99	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?
100	A certain fruit stand sold apples for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase?

序号

题目内容

If k is a positive integer, what is the remainder when $$(k + 2)({k}^{3} – k)$$ is divided by 6 ?

Which of the following fractions is closest to $$\frac{1}{2}$$?

If p $$\neq 0$$ and $$p - \frac{1-p^{2}}{p} = \frac{r}{p}$$, then r =

If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x ?

What number is 108 more than two-thirds of itself?

A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent was the prescribed dosage greater than the typical dosage?

Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?

The function f is defined by $${f}({x})=\sqrt x-{10}$$ for all positive numbers x. If $$u = f(t)$$ for some positive numbers $$t$$ and $$u$$. What is t in terms of $$u$$?

A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?

If m and p are positive integers and$$ m^{2} + p^{2} < 100$$, what is the greatest possible value of mp ?