2003 AMC 10A ws-25.pdf - What is the difference between the sum of the first 2003 even counting numbers and the sum of the first 2003 odd counting

2003 AMC 10A ws-25.pdf - What is the difference between the...

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What is the difference between the sum of the first2003 even counting numbers and the sum of the first2003 odd counting numbers? (A)0(B)1(C)2(D)2003(E)4006 2003 AMC 10 A, Problem #12003 AMC 12 A, Problem #1“Each even counting number is one more than thepreceding odd counting number.” Difficulty: Medium NCTM Standard: Number and Operations Standard for Grades 9–12: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Mathworld.com Classification: Number Theory > Integers
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Members of the Rockham Soccer League buy socksand T–shirts.Socks cost4 per pair and each T–shirt costs5 more than a pair of socks. Each memberneeds one pair of socks and a shirt for home gamesand another pair of socks and a shirt for away games.If the total cost is2366, how many members are inthe League? 2003 AMC 10 A, Problem #22003 AMC 12 A, Problem #2“Each member will have two pairs of socks, and twoshirts.” Difficulty: Easy NCTM Standard: Algebra Standard for Grades 9–12: Use mathematical models to represent and understand quantitative relationships. Mathworld.com Classification: Number Theory > Arithmetic > General Arithmetic
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A solid box is 15 cm by 10 cm by 8 cm. A new solidis formed by removing a cube 3 cm on a side fromeach corner of this box. What percent of the originalvolume is removed? (A)4.5(B)9(C)12(D)18(E)24 2003 AMC 10 A, Problem #32003 AMC 12 A, Problem #3“The total volume of the eight removed cubes is8×33=216cubic centimeters.” Difficulty: Medium-hard NCTM Standard: Geometry Standard for Grades 9–12: Analyze properties and determine attributes of two- and three-dimensional objects. Mathworld.com Classification: Geometry > Solid Geometry > Polyhedra > Cubes
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It takes Mary 30 minutes to walk uphill 1 km fromher home to school, but it takes her only 10 minutesto walk from school to home along the same route.What is her average speed, in km/hr, for the roundtrip?
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