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Ready4	If $l$ and $w$ represent the length and width, respectively, of a rectangle, then what is the perimeter? (1) $2l + w = 48$ (2) $l + w = 30$
Ready4	If 20 percent of the students at a certain college take a writing class, what percent of the students at the college take a math class? (1) 50 percent of the students who take a writing class also take a math class. (2) 40 percent of the students who take a math class also take a writing class.
Ready4	In the sequence $T$ of numbers, each term after the first two terms is the sum of the two immediately preceding terms. What is the 4th term of $T$ ? (1) The 5th term of $T$ minus the 3rd term equals 8. (2) The 5th term of $T$ plus the 6th term equals 34.
Ready4	In the sequence $M$ of numbers, each term after the first two terms is the sum of the two immediately preceding terms. What is the 5th term of $M$ ? (1) The 5th term of $M$ plus the 6th term equals 26. (2) The 6th term of $M$ minus the 4th term equals 10.
Ready4	In the sequence $N$ of numbers, each term after the first two terms is the product of the two immediately preceding terms and no term is equal to 0. What is the 4th term of $N$ ? (1) The 5th term of $N$ divided by the 3rd term equals 18. (2) The 3rd term of $N$ multiplied by the 5th term equals 648.
Ready4	On a certain day, each of $120$ students chose either pizza or chicken to eat and either milk or juice to drink for lunch. If one of these students is to be selected at random, is the probability less than $\frac{<font color='#FE8080'>1</font>}{2}$ that the student chose pizza and milk for lunch? (1) Of the students, $48$ chose pizza. (2) Of the students, $75$ chose milk.
Ready4	A store received a shipment of $150$ coats. Each coat was either red or black, and there was at least one of each color coat. These coats have either buttons or a zipper. If one of these coats is to be selected at random, is the probability less than $\frac{<font color='#FE8080'>1</font>}{3}$ that a red coat with buttons is selected? (1) Of the coats, $90$ are black. (2) Of the coats, twice as many have a zipper than buttons.
	If $${v}{m}{t}\neq{0}$$, is $${v}^{2}{m}^{3}{t}^{4} >{0}$$?(1)$${m} >{v}^{2}$$(2)$${m} >{t}^{4}$$
	What is the value of $$({x}-{y})^{4}$$?(1)The product of x and y is 7.(2)x and y are integers.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses?(1)The price of Tom's house was $110,000.(2)The price of Jane's house was $120,000.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the value of x + y in the figure above?(1)W=95(2)Z=125
	What is the hundreds digit of the integer z?(1)10z = 93,120(2)z rounded to the nearest hundred is 9,300.
OG15 OG16 OG17 OG18	On a certain date, Hannah invested $5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest?(1)The total amount of interest earned by Hannah's due investments in one year was $900.(2)Hannah invested the $5,000 at 6 percent simple annual interest.
	A can manufacturing company has 5 identical machines, each of which produces cans at the same constant rate. How many cans will all 5 machines produce running simultaneously for z hours?(1)Running simultaneously, 3 of the machines produce 72,000 cans in 2z hours.(2)Running simultaneously, 2 of the machines produce 24,000 cans in z hours.
	If n is a positive integer that is less than 10, what is the value of n?(1)n is the tenth digit in the decimal representation of $$\frac1 n$$.(2)n is the hundredth digit in the decimal representation of $$\frac1 n$$
	p is an integer; n is an integer; and $$\frac p n$$ is an integer. Is $$\frac p n$$ odd?(1)p is divisible by 4.(2)n is divisible by 4.
	What is the value of the integer N?(1)101 < N < 103(2)202 < 2N < 206
	In a demographic study, the population and total income of a certain region were estimated from other data, and both estimates had lower and upper limits. At the time of the estimates, was the per capita income for the region greater than $16,500?(1)The lower limit for the estimate of the population was 330,000 people.(2)The lower limit for the estimate of the total income was $5,500,000,000.
排列组合	A box contains 10 light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n?(1)The probability that the two bulbs to be drawn will be defective is $$\frac 1 {15}$$.(2)The probability that one of the bulbs to be drawn will be defective and the other will not be defective is $$\frac 7 {15}$$.
OG12	Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?(1)The average annual salary of the employees in Division R is $30,000.(2)The average annual salary of the employees at Company Q who are not in Division R is $35,000.