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Showing posts from June 5, 2020

06/05/2020 (2011: National Sprint Round, Problem 16)

Q: The surface area of a rectangular prism is 32 square inches. The volume of the prism is 12 cubic inches. The sum of all edge lengths is 28 inches. If the length, width and height of the prism are each increased by one inch, what is the volume of the resulting prism, in cubic inches? A: 36

06/05/2020 (2011: National Sprint Round, Problem 15)

Q: Seven numbers form an arithmetic sequence. The median of the seven numbers is five. The mean of the four largest numbers is seven more than the mean of the three smallest numbers. What is the ratio of the smallest number to the largest number? Express your answer as a common fraction. A: - 1/11