Pop quiz: Could you be a 'mathlete'?
Think you’ve got what it takes?
Here are sample questions courtesy of MATHCOUNTS: http://mathcounts.org.
These are actual problems from the 2005 MATHCOUNTS competition season.
The answers are provided at the end.
Sprint Round (no calculator; 30 problems in 40 minutes; students work alone)
Problem 1: A rectangular tile measures 3 inches by 4 inches. What is the fewest number of these tiles that are needed to completely cover a rectangular region that is 2 feet by 5 feet?
Problem 2: How many combinations of pennies, nickels and/or dimes are there with a total value of 25 cents?
Target Round (calculator permitted; 6 minutes for each of 4 pairs of problems; students work alone)
Problem 3: What is the greatest whole number that must be a factor of the sum of any four consecutive positive odd numbers?
Team Round (calculator permitted; 10 problems in 20 minutes; students work with three other team members)
Problem 4: A four-digit perfect square integer is created by placing two positive two-digit perfect square integers next to each other. What is the four-digit square integer?
Countdown Round (no calculator; head-to-head challenge between two students; first-to-answer; no more than 45 seconds permitted)
Problem 5: When Bob exercises, he does jumping jacks for 5 minutes and then walks the track at 4 minutes per lap. If he exercised for 73 minutes on Monday, how many laps did he walk?
Problem 6: What number is 17 less than its negative? Express your answer as a decimal to the nearest tenth.
1) 120 tiles
2) 12 combinations
5) 17 laps