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PREP07 Test 2	In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose a 3-member committee, which must have at least 1 member who teaches French, how many different committees can be chosen?
190302	The cinema was supposed to sell 10 adult tickets and 20 children's tickets. Tickets for adults and children were sold $25 and $10, respectively. A total of $300 tickets were not sold before the film started. 4 adult tickets were sold. How many children tickets were sold?
OG19 OG20 OG2022	If S=1+$$\frac{1}{2^{2}}+\frac{1}{3^{2}}+\frac{1}{4^{2}}+\frac{1}{5^{2}}+\frac{1}{6^{2}}+\frac{1}{7^{2}}+\frac{1}{8^{2}}+\frac{1}{9^{2}}+\frac{1}{10^{2}}$$, which of the following is true?
Ready4	Is $10^{x} + 16$ divisible by 4? (1) x is a positive prime number (2) x is an odd number
PREP07 Test 1	On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?(1) The first tollbooth and the last tollbooth are 25 miles apart.(2) Janet drives through 4 tollbooths on her way home from work.
Magoosh	A cow is tethered to the corner of a rectangular shed. If the length of the rope is 5, and the shed has length 4 and width 3, what is the maximum area that is accessible to the cow? (The cow cannot enter the shed).
OG18 OG19 OG20 OG2022	If a is a 3-digit integer and b is a 3-digit integer, is the units digit of the product of a and b greater than 5? (1) The units digit of a is 4 (2) The units digit of b is 7.
Magoosh	If the average (arithmetic mean) of four different positive integers is greater than 3 and less than 4, what is the range of the four numbers?(1) One number is greater than 7(2) The median of the four numbers is 2.5
OG18	The symbol $$\Delta$$denotes one of the four arithmetic operations: addition, subtraction, multiplication, or division. If 6$$\Delta3\le3$$, which of the following must be true? I. 2$$\Delta$$2=0II.2$$\Delta$$2=1III. 4$$\Delta$$2=2
OG19 OG20 OG2022	A company bought 3 printers and 1 scanner. What was the price of the scanner? (1)The total price of the printers and the scanner was $1, 300. (2)The price of each printer was 4 times the price of the scanner.
几何	In the figure above, the area of square region PRTV is 81, and the ratio of the area of square region XSTU to the area of square region PQXW is 1 to 4. What is the length of segment RS?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the number of cans that can be packed in a certain carton?(1) The interior volume of this carton is 2,304 cubic inches.(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.
	If ¼ of the larger of two numbers is greater than 5 times the smaller of the same two numbers, is the smaller number less than 4?(1) The larger number is greater than 70.(2) The larger number is less than 80.
	A certain club has 20 members. How many of the members of the club are female?(1) The ratio of male to female members in the club are 3 : 2.(2) There are 4 more male members in the club than female members.
300难题	If the lengths of the legs of a right triangle are integers, what is the area of the triangular region? 1.The length of one leg is $$\frac{3}{4}$$ the length of the other. 2.The length of the hypotenuse is 5.
300难题	If x is a positive integer, how many positive integers less than x are divisors of x ? 1. $$x^{2}$$ is divisible by exactly 4 positive integers less than $$x^{2}$$. 2. 2x is divisible by exactly 3 positive integers less than 2x.
Ready4	If $x$ is a prime number, is $15x^3+30x^2+6x+9$ divisible by $x^2$ ? (1) $x^2 > <font color='#FE8080'>4</font>$ and $x^2 < 30$ (2) $x^2-10x+21=0$
190113	There are 50 balls in an opaque bag. The number of red balls, orange balls, yellow balls and green balls is 20, 20, 6, and 4, respectively. Two balls will be taken out randomly at one time from the bag. What's the approximate probability that the two balls are the same color?
191222	A team of 15 people is working on a project. They work 8 hours per day and have completed 1/4 of the total project in 18 days. How many additional people, each working at the same constant rate, will be needed to complete the rest of the project in 6 days?
OG18-数学分册	Half of a large pizza is cut into 4 equal-sized pieces, and the other half is cut into 6 equal-sized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?