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Questions ( 1365 )
  • If the difference in the degree measure of an interior and exterior angle of a regular polygon is 100º, how many sides does the polygon have? 

  • Given that the Earth is turning at a constant rate around its axis and it makes exactly one complete rotation every 24 hours, how many degrees does the center of home plate at Fenway Park rotate around Earth’s axis from 6 a.m. on May 8th to noon on May 10th of the same year? 

  • A bag contains a total of 36 marbles colored either red or blue. Twice the number of red marbles is 6 less than the number of blue marbles. How many red marbles are in the bag?

  • When a > 5 and b \(\le\) 5, a @ b = (a + b)(a − b), and when a \(\le\) 5 and b > 5, a @ b = (b + a)(b − a). What is the value of 2 × ((2 @ 6) @ −4) − 1?

  • Anne is trying out for the track team, and she had three triple jump attempts. The distance of each triple jump attempt is measured to the nearest inch, and her first two attempts measured 36' 4" and 38' 4", respectively. If Anne’s third attempt measured no less than her first attempt and no more than her second attempt, what is the difference between the greatest and least possible averages for the three triple jump attempts?

  • Emilio started a job on July 1, 2000 at a salary of $40,000. If he got an increase of 10% each year, in what year did his salary first exceed $80,000?

  • Let n represent the smallest positive integer such that 2015 + n is a perfect square. Let m represent the smallest positive integer such that 2015 − m is a perfect square. What is the value of n + m? 

  • A pizza of diameter 16 inches has an area large enough to serve 4 people. What is the diameter of a pizza with an area large enough to serve 12 people? Express your answer as a decimal to the nearest tenth.

  • The peak of volcano Mauna Kea is 13,803 feet above sea level. When measured from its oceanic base, it measures 33,100 feet vertically to its peak. What percent of Mauna Kea’s altitude is below sea level? Express your answer to the nearest whole number.

  • What is the area of \(\Delta\)ABC with vertices A(2, 3), B(17, 11) and C(17, 3) ?

  • What is the product of the greatest common factor and least common multiple of 48 and 72?

  • If f (x) = \(\sqrt{x+4}\), for what value of x does f (x) = 3?

  • A cup contains 6 ounces of milk. Two ounces of chocolate syrup are added to the cup and thoroughly mixed. Then 2 ounces of that mixture are poured out. How many ounces of chocolate syrup are in the remaining mixture? Express your answer as a mixed number. 

  • If 2015 = 101a + 19b, for positive integers a and b, what is the value of a + b? 

  • When rolling two fair, eight-sided dice, each with faces numbered 1 through 8, what is the probability that the two numbers rolled have a sum of 9? Express your answer as a common fraction. 

  • Of 600 students at Goodnight Middle School in Texas, 85% are not native Texans. Of those non-native students, 60% have lived in Texas more than 10 years, and 30 students have lived in Texas less than a year. How many non-native students have lived in Texas for at least 1 year but not more than 10 years? 

  • Currently, the sum of the ages of Yumi, Rana and Victoria is 42 years. Four years ago, the sum of the ages of Rana and Victoria was equal to the current age of Yumi. What is Yumi’s current age?

  • A square residential lot is measured to be 100 feet on each side, with a possible measurement error of 1% in each of the length and width. What is the absolute difference between the largest and smallest possible measures of the area given this possible error?

  • What is the sum of the prime factors of 2015? 

  • How many fewer minutes does it take to drive 35 miles at 30 mi/h than to drive the same distance at 25 mi/h?

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