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2016 AMC 8 ProblemsProblem 1The longest professional tennis match lasted a total of 11 hours and 5 minutes. How many minutes was that?SolutionProblem 2In rectangle,and. Pointis the midpoint of. What is the area of?SolutionProblem 3Four students take an exam. Three of their scores areand. If the average of their four scores is, then what is the remaining score?SolutionProblem 4When Cheenu was a boy he could runmiles in hours andfor him to travel a mile now compared to when he was a boy?minutes. As an old man he can now walkmiles inhours. How many minutes longer does it takeSolutionProblem 5The numberis a two-digit number. Whenis divided by , the remainder is . Whenis divided by, the remainder is .What is the remainder whenis divided by?SolutionProblem 6The following bar graph represents the length (in letters) of the names of 19 people. What is the median length of these names?
SolutionProblem 7Which of the following numbers is not a perfect square?SolutionProblem 8Find the value of the expressionSolutionProblem 9What is the sum of the distinct prime integer divisors of?SolutionProblem 10Suppose thatmeansWhat is the value ofifSolutionProblem 11Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum isSolutionProblem 12
Jefferson Middle School has the same number of boys and girls.of the girls andof the boys went on a field trip. What fraction of the students on the field trip weregirls?SolutionProblem 13Two different numbers are randomly selected from the setand multiplied together. What is the probability that the product is ?SolutionProblem 14Karl's car uses a gallon of gas everymiles, and his gas tank holdsgallons when it is full. One day, Karl started with a full tank of gas, drovegallons of gas, and continued driving to his destination. When he arrived, his gas tank was half full. How many miles did Karl drive that day?miles, boughtSolutionProblem 15What is the largest power ofthat is a divisor of?SolutionProblem 16Annie and Bonnie are running laps around a-meter oval track. They started together, but Annie has pulled ahead because she runsmany laps will Annie have run when she first passes Bonnie?faster than Bonnie. HowSolutionProblem 17An ATM password at Fred's Bank is composed of four digits frommany passwords are possible?to , with repeated digits allowable. If no password may begin with the sequencethen howSolutionProblem 18In an All-Area track meet,sprinters enter ameter dash competition. The track has lanes, so only sprinters can compete at a time. At the end of eachrace, the five non-winners are eliminated, and the winner will compete again in a later race. How many races are needed to determine the champion sprinter?SolutionProblem 19The sum ofconsecutive even integers is. What is the largest of theseconsecutive integers?SolutionProblem 20The least common multiple of?Solutionandis, and the least common multiple ofandis. What is the least possible value of the least common multiple ofand
Problem 21A top hat contains 3 red chips and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chipsare drawn. What is the probability that the 3 reds are drawn?SolutionProblem 22Rectanglebelow is arectangle with. What is the area of the "bat wings" (shaded area)?SolutionProblem 23Two congruent circles centered at pointsandeach pass through the other circle's center. The line containing bothpointsand . The circles intersect at two points, one of which is . What is the degree measure of?andis extended to intersect the circles atSolutionProblem 24The digits , , , , and are each used once to write a five-digit numberis divisible by , and the three-digit numberis divisible by . What is. The three-digit numberis divisible by , the three-digit number?SolutionProblem 25A semicircle is inscribed in an isosceles triangle with baseWhat is the radius of the semicircle?and heightso that the diameter of the semicircle is contained in the base of the triangle as shown.
SolutionThe problems on this page are copyrighted by the Mathematical Association of America (http://www.maa.org)'s American Mathematics Competitions (http://amc.maa.org).Retrieved from tle 2016 AMC 8 Problems&oldid 105186"Copyright 2019 Art of Problem Solving
2016 AMC 8 Problems Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6. Solution Which of the following numbers is not a per fect square? Solution Find the value of the expression Solution What is the
2010 AMC 8 Problems Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6. Using only pennies, nick els, dimes, and quar ters, what is the smallest number of coins F reddie would need so he cou
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Solution to 79 Question 80 Solution to 80 Question 81 Solution to 81 Question 82 Solution to 82 Question 83 Solution to 83 Question 85 Solution to 85 Question 86 Solution to 86 Chapter 7: Cables Question 88 Solution to 88
612 Chapter 7 Systems of Equations and Inequalities 3. (a) is nota solution. (b) is a solution. (c) is nota solution. (d) 1, 2 is nota solution. 2 2e 1 0, 13 3 2e0 0, 2 3 0 28 2 2 2 2e0 2, 0 0 2e 2 3x y 2 y 2ex 4. (a) is nota solution. (b) is a solution. (c) is a solution. (d) 2
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Solution: When acid is added to water there will be a fixed amount of hydronium present in the fixed volume of solution. If we dilute the solution hydronium ion per volume of solution decrease, this in-turn decreases Hydronium concentration in the solution. 6. How is the concentration of hydroxide
AAMI HE75, Human factors engineering – Design of medical devices, Clause 9, Usability Testing, provides an excellent guide to the types of formative evaluations that are useful in early device UI development such as cognitive walkthroughs, heuristic evaluations, and walk-through-talk-through usability tests. Annex D of IEC 62366 also provides descriptions of these formative techniques .
