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OG21 OG2022
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In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN?
(1) J and M are on the x-axis, and l < k and N are on the y-axis.
(2) The center of the square is at the origin.
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OG21 OG2022
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What is the value of z in the figure above?
(1) x = 50
(2) y = 35
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模考带练机经题
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(4.6*$$10^{m}$$)*(2.3*$$10^{k}$$)=1.058*$$10^{t}$$
Express t in terms of m and k
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模考带练机经题
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Is the quadrilateral ABCD square?
(1) All three angles are 90°
(2) Three sides are equal
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模考带练机经题
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The scores of 5 people are 80, 90, 85, 95 and 100 respectively. What is the new standard deviation of their scores after the following changes?
(1) Add 10 points to everyone`s score
(2) Change the average score to 85.5
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模考带练机经题 KMFPS
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How many positive odd factors larger than 1 does 210 have?
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模考带练机经题
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Is $$\frac{1}{a}$$ > $$\frac{1}{b}$$?$$ a\neq 0 $$,and $$ b\neq 0 $$
(1)a < b
(2)a-b < 0 < a
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模考带练机经题
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According to the picture, a regular octagon is inscribed in a square. If the perimeter of the regular octagon is 16, what is the perimeter of the square?
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模考带练机经题
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If m is a positive integer, and 3 is a factor of m. How many different prime factors does m have?
(1) $$\frac{m}{3}$$ has a factor of 3
(2)$$\frac{m}{3}$$ has only two different prime factors.
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模考带练机经题
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If m and n are positive integer, is m a factor of n?
(1)m is a factor of 36
(2)n is a multiple of 12
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模考带练机经题
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The triangle ABC is a right-angled triangle, and B is the right angle. If a point D is on AC, is the triangle BCD an isosceles triangle?
(1) BD = AD
(2) D is the midpoint of AC
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模考带练机经题
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X works alone for 2 hours to produce 6 machines, and Y works alone for 2 hours to produce 8 machines. In a task, at least one person is working, 44 machines are produced in 7 hours (that is, two people work together for a period of time, one person works alone for a period of time). If x and y cooperate to produce 44 machines with the shortest working time, how many hours do they work simultaneously?
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模考带练机经题
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If x is a positive integer, what is the remainder when $$x^{2}$$ is divided by 8?
(1)The remainder is 1 when x is divided by 2
(2)The remainder is 2 when x is divided by 3
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OG21 OG2022
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If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? （1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams）
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OG21 OG2022
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In the xy plane, the distance between the origin and the point（4,5）is the same as the distance between which of the following two points?
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OG21 OG2022
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The profit P, in dollars, for any given month at a certain company is defined by P = I - C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?
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OG21 OG2022
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Sam has $800 in his account. He will deposit $1 in his account one week from now, $2 two weeks from now, and each week thereafter he will deposit an amount that is $1 greater than the amount that he deposited one week before. If there are no other transactions, how much money will Sam have in his account 50 weeks from now?
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OG21 OG2022
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If 65 percent of a certain firm's employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?
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OG21 OG2022
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If the units digit of $$\frac{5610.37}{10^{k}}$$ is 6, what is the value of k?
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OG21 OG2022
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3P5
$$\frac{+4QR}{8S4}$$
In the correctly worked addition problem shown, P, Q, R, and S are digits. If Q = 2P, which of the following could be the value of S?
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