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来源	题目内容
	$$(\frac {1}{4-\sqrt{15}})^{2}=$$
300难题	Of the following, which is greatest?
第一期	x and y are positive integers and $$x·y^{3}$$ is an even number. Which of the following must be even?
190415 还原机经选题: 数论&代数	12! can be divided by $$(4!)^{n}$$ but cannot be divided by $$(4!)^{n+1}$$ .n=?
	A container in the shape of a right circular cylinder is $$\frac{1}{2}$$ full of water. If the volume of water in the container is 36 cubic inches and the height of the container is 9 inches, what is the diameter of the base of the cylinder, in inches?
190215	The radius of all three circles is r. The top circle is tangent to the bottom two circles. The closest distance between two points on the circumferences of the bottom two circles is a. These three circles are tangent to the quadrilateral ABCD. How is BC represented by r and a?
190215	Is $$x^{4}$$ < $$x^{2}y^{2}$$ ? 1：$$x^{2}$$ < $$\frac{1}{4}$$ 2：$$x^{2}$$ < $$\frac{x}{4}$$
PREP07 Test 2	If $$N=\frac{1}{3}+(\frac{1}{3})^2+(\frac{1}{3})^3$$, then N is between
191031	If $$xa^4+yb^3=5$$，then x+y=？ (1)$$xa^4 =x$$ (2) $$yb^3 = y$$
Manhattan	What is the units digit of $$(10 ^{4})(4^{ 5})(3^{ 3})?$$
OG12 OG15 OG16 OG17 OG18	If n is an integer greater than 6, which of the following must be divisible by 3?
Ready4	A college class consists of 24 computer science majors, 16 marketing majors, and 20 finance majors. If 2 different students are to be selected at random from this class, what is the probability that both students will be marketing majors?
181215	($$\frac{1}{2} - \frac{1}{3}$$)+($$\frac{1}{3} - \frac{1}{4}$$)+($$\frac{1}{4} - \frac{1}{5}$$)=?
Ready4	For which of the following functions $h(x)$ is $h(x)=h(2-x)$ for all $x$ ?
Ready4	How many of the integers that satisfy the inequality $(y+1)(y+2)(y+<font color='#FE8080'>4</font>) \geq 0$ are less than $<font color='#FE8080'>4</font>$ ?
OG20 OG2022	If xyz ≠ 0, what is the value of $$\frac{x^{4}z^{2}}{z^{2}y^{2}}$$ 1.$$y^{2}=x^{4}$$ 2.$$x = 2$$ and $$y = 4$$
Ready4	If $O$ is the center of the circle above, what fraction of the circular region is shaded?
PREP07 Test 1	for any integer k from 1 to 10, inclusion, the kth of a certain sequence is given by $$(-1)^{k+1}(\frac1 {2^k})$$. If T is the sum of the first 10 terms of the sequence, then T is:
Magoosh	What is the sum of all possible solutions of the equation$$\|x + 4\|^{2} - 10\|x + 4\| = 24?$$
300难题	What is the value of x ? 1.$$4^{x+1}$$ +$$4^{x}$$ =320 2.$$x^{2}$$=9