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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the value of $$\frac{(2t+t-x)}{(t-x)}$$(1)$$\frac{2t}{t-x}=3$$(2)t-x=5
OG12 OG15 OG16	Is n an integer?(1)$${n}^{2}$$ is an integer.(2)$$\sqrt{n}$$ is an integer.
OG12 OG15 OG16	Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
OG12 PREP07 Test 2	If n is a positive integer, is $$n^3 - n$$ divisible by 4 ?(1)$$n = 2k + 1$$, where k is an integer.(2)$$n^2 + n$$ is divisible by 6.
OG12 OG15 OG16	Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
OG12 OG15 OG16 OG17 OG18	What is the tens digit of positive integer x ?(1)x divided by 100 has a remainder of 30.(2)x divided by 110 has a remainder of 30.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the difference between the sixth and the fifth terms of the sequence 2,4, 7,... whose $$n^{th}$$ term is $$n + {2}^{n-1}$$?
OG12 OG15 OG16	If x, y, and z are positive integers, is x - y odd?(1)$$x = z^2$$(2)$$y = (z-1)^2$$
OG12 OG15	If $$({x}-{1})^{2}$$ = 400, which of the following could be the value of x - 5 ?
OG12 OG15 OG16	If arc PQR above is a semicircle, what is the length of diameter $$\overline{PR}$$ ?(1)a = 4(2)b = 1
OG12 OG15	Which of the following describes all values of x for which $${1}-{x}^{2}\geq{0}$$?
OG12 OG15	Marcia's bucket can hold a maximum of how many liters of water?(1)The bucket currently contains 9 liters of water.(2)If 3 liters of water are added to the bucket when it is half full of water, the amount of water in thebucket will increase by $$\frac1 3$$
OG12 OG15 OG16	The probability is $$\frac{1}{2}$$ that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
OG12 OG15 OG16	Of the final grades received by the students in acertain math course, $$\frac{1}{5}$$ are A's, $$\frac{1}{4}$$ are B's,$$\frac{1}{2}$$ are C's,and the remaining 10 grades are D's. What is the number of students in the course?
OG12 OG15	As x increases from 165 to 166, which of the following must increase?I 2x-5II $$1-\frac{1}{x}$$III $$\frac{1}{x^2-x}$$
OG12 OG15	A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?
OG12	The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, 10 students are in both Chess and Drama, 5 students are in both Chess and Math, and 6 students are in both Drama and Math. How many different students are in the three clubs?
OG12	The ratio of two quantities is 3 to 4. If each of the quantities is increased by 5, what is the ratio of these two new quantities?
OG12	If the average (arithmetic mean) of x and y is 60 and the average (arithmetic mean) of y and z is 80, what is the value of z - x ?
OG12	If $$\frac{1}{2}$$ of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes?