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OG2017Q-PS-80 | OG2018Q-PS-82 有讲解

Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?


OG2017Q-PS-79 | OG2018Q-PS-81 有讲解

A certain drive-in movie theater has a total of 17 rows of parking spaces. There are 20 parking spaces in the first row and 21 parking spaces in the second row. In each subsequent row there are 2 more parking spaces than in the previous row. What is the total number of parking spaces in the movie theater?



OG2017Q-PS-78 | OG2018Q-PS-80 有讲解

In a certain sequence, each term after the first term is one-half the previous term. If the tenth term of the sequence is between 0.0001 and 0.001, then the twelfth term of the sequence is between


OG2017Q-PS-77 | OG2018Q-PS-79 有讲解

What is the sum of the odd integers from 35 to 85, inclusive?


OG2017Q-PS-76 | OG2018Q-PS-77 有讲解

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The chart above shows year-end values for Darnella's investments. For just the stocks, what was the increase in value from year-end 2000 to year-end 2003 ?


OG2017Q-PS-75 | OG2018Q-PS-76 有讲解

For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of ((98 Θ 33) Θ 17) - (98 Θ (33 Θ 17)) ?


OG2017Q-PS-74 | OG2018Q-PS-72 有讲解

At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?


OG2017Q-PS-73 | OG2018Q-PS-69 有讲解

The "prime sum" of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example, the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 + 2 + 3 = 7. For which of the following integers is the prime sum greater than 35 ?


OG2017Q-PS-72 | OG2018Q-PS-68 有讲解

If a square region has area n, what is the length of the diagonal of the square in terms of n ?


OG2017Q-PS-71 | OG2018Q-PS-67 有讲解

~$(39,897)(0.0096) \over 198.76$~ is approximately


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