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OG20 OG2022	In the figure above, RST is a triangle with angle measures as shown and PRTQ is a line segment. What is the value of x + y ? 1.s = 40 2.r = 70
OG19-数学分册	In the rectangular coordinate system .above, if △OPQ and △QRS have equal area, what are the coordinates of point R? (1) The coordinates of point Pare (0,12). (2) $$OP = OQ$$ and $$QS = RS$$.
300难题	The letters C, I, R, C, L, and E can be used to form 6-letter strings such as CIRCLE or CCIRLE. Using these letters, how many different 6-letter strings can be formed in which the two occurrences of the letter C are separated by at least one other letter?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r?(1)v + z = 6(2)s + t + u + x = 6
PREP07 Test 1	In the figure above, segments PQ and PR are each parallel to one of the rectangular coordinate axes. What is the sum of the coordinates of point P ?(1) The x-coordinate of point Q is -1.(2) The y-coordinate of point R is 1.
	In the figure above, segments PQ and PR are each parallel to one of the rectangular coordinate axes. What is the sum of the coordinates of point P ?(1)The x - coordinate of point Q is -1.(2)The y - coordinate of point R is 1.
PREP07 Test 2	At a certain bakery, each roll costs r cents and each doughnut costs d cents. If Alfredo bought rolls and doughnuts at the bakery, how many cents did he pay for each roll? (1) Alfredo paid $5.00 for 8 rolls and 6 doughnuts. (2) Alfredo would have paid $10.00 if he had bought 16 rolls and 12 doughnuts.
	A club with a total membership of 30 has formed 3 committees, M, S, and R, which have 8, 12, and 5 members, respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
	% of Day 1 shoppers returned to the store on Day 3.Shoppers at Retailer R who purchased substitute items from other manufacturers on Day 1 paid a total amount that was approximately of the total all Day 1 shoppers would have paid had each of them been able to purchase Product X on Day 1.
181215	S = PRT/100. Where S is the income, P is the investment amount, R is the annual simple interest, and T is the investment period. When the principal is $y, what is the two-year return on investment? 1: When the principal is $1000, the profit of the one-year investment is $40. 2: y = 8000.
181215	There is an even chain hanging on a pulley. The chain is 5 meters long and weighs 4 kilograms. The chain lengths on the left and right sides of the pulley are a and b respectively. b=？ 1: a = 1 m 2: r = 0.3 m
OG12 OG15 OG16	Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and $$\overline{PR}$$ is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities $$-4 \le x \le 5$$ and $$6 \le y \le 16$$. How many different triangles with these properties could be constructed?
PREP07 Test 1	Before being simplified, the instructions for computing income tax in Contry R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 unit of Contry R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that whose annual income is I?
190302	There are four small circles tangent to each other. The small circles are all inscribed in a large circle, as shown in the figure. The radii of small circles are all r. What is the ratio of the side length of the square formed by the line connecting four small circle centers to the diameter of the large circle?
190124 还原机经选题: 文字题&几何	There is a cone container that contains some water (as shown in the figure). H = 4R. The water flows out at the speed of q. How long does all of the water flow out? 1: The distance between water surface and cone vertex is h. 2: The radius of the water surface is r.
OG12 OG15	In the figure above, V represents an observation point at one end of a pool. From V, an object that is actually located on the bottom of the pool at point R appears to be at point S. If VR = 10 feet, what is the distance RS, in feet, between the actual position and the perceived position of the object？
190215	The equilateral triangle ABC is inscribed on the circle O. What is the ratio of the circumference of circle O to the circumference of triangle? 1: The area of a circle is s $$cm^{2}$$, and the circumference of a triangle is s cm. 2: The radius of the circle is r cm.
OG12 OG15 OG16 OG17	In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangular region RCS ?(1)The area of triangular region ABX is 32.(2)The length of one of the altitudes of triangle ABC is 8.
Ready4	In the figure shown, angles $n$ , $q$ , and $<font color='#FE8080'>r</font>$ make up three of the interior angles of quadrilateral $ABCD$ . Is $n=<font color='#FE8080'>r</font>$ ? (1) Lines $h$ and $k$ are parallel. (2) $p+q=180$
Ready4	If QR = 10, what is the area of the triangular region PQR above? $P S = S R = 5$ $P Q = P R$