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Manhattan
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The number of passengers on a certain bus at any given time is given by the equation$$ P = –2{( S – 4)}^{ 2} + 32$$, where P is the number of passengers and S is the number of stops the bus has made since beginning its route. If the bus begins its route with no passengers, what is the value of S when the bus has its greatest number of passengers?
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Manhattan
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8 – [7 – (6 – 5 * 4 + 3) – 2 + 1] =
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Magoosh
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When positive integer k is divided by 1869, the remainder is 102. What is the remainder when k is divided by 89?
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Magoosh
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The ratio of two positive numbers is 3 to 4. If k is added to each number the new ratio will be 4 to 5, and the sum of the numbers will be 117. What is the value of k?
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Magoosh
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If $$4^{n} + 4^{n} + 4^{n} + 4^{n} = 4^{16}$$ , then n =
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Magoosh
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If$$\sqrt{17+\sqrt{264}} $$ can be written in the form $$\sqrt{a}+\sqrt{b}$$ , where a and b are integers and b < a, then a - b =
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OG18-数学分册
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A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)
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Manhattan
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If a and b are positive integers and$$ x = 4^{ a} and y = 9^{ b}$$, which of the following is a possible units digit of xy?
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OG18-数学分册
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Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 6 cm, what is CD, in centimeters?
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OG18 OG19 OG20 OG2022
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If k is a positive integer, what is the remainder when $$(k + 2)({k}^{3} – k)$$ is divided by 6 ?
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OG19 OG20 OG2022
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If X is a positive integer and $$4^{x}$$-3=y ， which of following CANNOT be value of y?
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模考带练机经题
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How many different prime factors does 2730 have?
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模考带练机经题
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If 12! is a multiple of $$(4!)^{n}$$ and not a multiple of $$(4!)^{n+1}$$, what is the value of n?
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190321
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p=10k+1. k is a positive integer. What's the unit digit of $$(p^2)^100$$?
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190124
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4 < $$x^{2}$$ -2x +1 < 16,How many integers x satisfy the inequality?
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190124
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What's the unit digit of $$2^{345}$$+1?
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190124
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There were a lot of goods at the wharf. For the first time, a third of the goods were shipped. For the second time, three fifths of the rest were transported away. At this time, there were still 2/5 tons of goods on the wharf. What is the total tons of the goods?
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190321
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$$k^4$$can be divided by 32. What is the reminder of k when divided by 32?
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190415 还原机经选题: 数论&代数
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12! can be divided by $$(4!)^{n}$$ but cannot be divided by $$(4!)^{n+1}$$ .n=?
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190310
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In the rectangular coordinate system, the length of AB equals to that of AC. A(0,0), B(1,3). If the coordinates of point C are all integers, then C has 8 possible positions. How many different values does BC have?
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