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PREP07 Test 1	If $$x \neq0$$, then $$\frac{\sqrt {x^2}}{x}$$
Magoosh	What is the value of $$(\frac{1}{x}-\frac{1}{y})$$?Statement #1: $${xy}\over{x-y}$$=2Statement #2: $$x^2+y^2=5$$
OG20 OG2022	On a scale drawing, a rectangle 1 inch by $$1\frac{1}{3}$$inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)
PREP07 Test 2	$$-2 < P \le -1$$$$-1 < Q \le 0$$$$0 < R \le 1$$$$1 < S \le 2$$For the inequalities above, what is the maximum possible value of P + Q + R + S ?
PREP07 Test 1	In the sequence of positive numbers $$x_1,x_2,x_3$$,. . ., what is the value of $$x_1$$ ?(1) $$x_l =\frac1 2 {x_{l-1}} $$ for all integers $$l > 1$$(2)$$x_5 = {x_4\over(x_4+1)}$$
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	if $${m}^{-1}=-\frac{1}{3}$$,then $${m}^{-2}$$ is equal to
	Is $$x^{2}$$ < x ? (1)0 < x < 1 (2)$$x^{3} > x$$
190113	$$\frac{1}{2}$$($$\sqrt{3}$$+$$\sqrt{7}$$)+2$$\frac{1}{\sqrt{3}+\sqrt{7}}$$=?
191222	14<【（n-1）！+n！+（n+1）！】/n！<15，what is the value of n？
Magoosh	When a certain coin is flipped, the probability of heads is 0.5. If the coin is flipped 6 times, what is the probability that there are exactly 3 heads?
OG18-数学分册	If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
OG12	In a certain population, there are 3 times as many people aged 21 or under as there are people over 21. The ratio of those 21 or under to the total population is
	If the function f is defined by $${f}({x})={x}^{2}+\frac{1}{x^2}$$ for all nonzero numbers x, then $$f(-\frac{1}{x})=$$
	John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was $$\frac{1}{2}$$ the number of cans that Karen collected and $$\frac{1}{3}$$ the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?
	$$\frac{3}{8}$$ of all students at Social High are in all three of the following clubs: Albanian, Bardic, and Checkmate. $$\frac{1}{2}$$ of all students are in Albanian, $$\frac{5}{8}$$ are in Bardic, and $$\frac{3}{4}$$ are in Checkmate. If every student is in at least one club, what fraction of the student body is in exactly 2 clubs?
	In the figure above, two circles with radii equal to 10 units of length overlap such that their centres, $${O}_{1}$$ and $${O}_{2}$$, are 16 units apart. What is the distance between the line joining the centres of the circles and the line drawn through point P parallel to the line connecting the centres?
190215	Two numbers are chosen from the sequence {1,2,3,4,5}. What is the probability that the product of the two numbers is less than 4?
Magoosh	2 - [1 - (1 - [2 - 3] - 2) + 3] =
OG18-数学分册	If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?
Ready4	If $2^n$ is a divisor of $<font color='#FE8080'>1</font>{,}680$ and $2^m$ is not a divisor of $<font color='#FE8080'>1</font>{,}680$ , where $m=n+<font color='#FE8080'>1</font>$ , what is the value of $n$ ?