1 / 7

Math Olympiad #80

Math Olympiad #80. 3 minutes. Question 1.

quana
Télécharger la présentation

Math Olympiad #80

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Math Olympiad #80

  2. 3 minutes Question 1 I have a drawer which contains 40 socks in the following numbers and colors: 12 tan, 9 brown, 11 gray, and 8 blue. Suppose I am blindfolded. What is the fewest number of socks I must pick from the drawer to be absolutely certain that I have two socks of the same color among those I have picked? Answer: 5 socks

  3. 5 minutes Question 2 In the equation below, A and B represent counting numbers. What values of A and B will make the equation true? (List the value of A first, and then the value of B.) Answer: A=2 and B=1

  4. 6 minutes Question 3 Using the letters A and B, the following two-letter code words can be formed: AA, AB, BB, BA. Using the letters A, B, and C, how many different three-letter code words can be formed? Answer: 27 code words

  5. 5 minutes Question 4 Below, different letters represent different digits, ABC and DEF are three-digit numbers, and neither of the lead digits A and D is zero. If DEF is subtracted from ABC, what is the largest remainder that can occur? A B C - D E F Answer: 885

  6. 6 minutes Question 5 Triangle ABC has its vertices A, B, and C on the sides of a rectangle 4 units by 5 units as shown. What is the area of triangle ABC in square units?

  7. 6 minutes Question 5 Triangle ABC has its vertices A, B, and C on the sides of a rectangle 4 units by 5 units as shown. What is the area of triangle ABC in square units? Answer: Area of Triangle ABC is 9 square units

More Related