Dear Math Circlers,
Our online preparation for the AMC 8 contest is starting. Click on the green button below to start.
1. Work through our first practice problem set (10 past AMC 8 problems) with paper and pencil and enter your answers into our online quiz.
2. Then Zoom in on Saturday, October 24 with Bard College math major and Bard Math Circle coordinator Felicia Flores for a one-on-one AMC 8 math session to learn more about any of the problems.
3. Stand by by for our next practice problem set, coming next week!
You are welcome to prepare for the AMC 8 with us, even if you are taking the AMC 8 elsewhere.
Are you non-competitive and don't enjoy timed contests? You will still savor these intriguing math problems. Each challenge offers a unique learning opportunity, and what you learn is more important than how fast you can solve it. Take your time and stretch your creative problem solving muscles.
Sincerely,
Bard Math Circle
Registration for our (online) AMC 8 site is filling up, but there is still space.
Students will compete in the comfort of their own home, proctored in-person by a parent or other responsible adult.
Click on the blue button to register!
Can you solve these problems from the 2001 AMC 8?
1. Casey's shop class is making a golf trophy. He has to paint 300 dimples on a golf ball. If it takes him 2 seconds to paint one dimple, how many minutes will he need to do his job?
2. I'm thinking of two whole numbers. Their product is 24 and their sum is 11. What is the larger number?
4. The digits 1, 2, 3, 4 and 9 are each used once to form the smallest possible even five-digit number. The digit in the tens place is
11. Points
,
,
and
have these coordinates:
,
,
and
. The area of quadrilateral
is
![[asy] for (int i = -4; i <= 4; ++i) { for (int j = -4; j <= 4; ++j) { dot((i,j)); } } draw((0,-4)--(0,4),linewidth(1)); draw((-4,0)--(4,0),linewidth(1)); for (int i = -4; i <= 4; ++i) { draw((i,-1/3)--(i,1/3),linewidth(0.5)); draw((-1/3,i)--(1/3,i),linewidth(0.5)); } [/asy]](https://substackcdn.com/image/fetch/$s_!jKvl!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9aa49c17-7a61-4ec1-9df3-026370c51b22_504x504.png "[asy] for (int i = -4; i <= 4; ++i) { for (int j = -4; j <= 4; ++j) { dot((i,j)); } } draw((0,-4)--(0,4),linewidth(1)); draw((-4,0)--(4,0),linewidth(1)); for (int i = -4; i <= 4; ++i) { draw((i,-1/3)--(i,1/3),linewidth(0.5)); draw((-1/3,i)--(1/3,i),linewidth(0.5)); } [/asy]")
Read below for the answers!
©2020 Bard Math Circle Photo Archive
AMC 8 Contest Information
The AMC 8 is 40-minutes long and consists of 25 multiple choice questions in middle school mathematics. Preparing for the AMC 8 helps develop students’ problem-solving skills and interest in mathematics.
Date: Tuesday, November 10, 2020 (The full contest window is November 10–16.)
Time: A specific time can be requested by the student.
Location: via AoPS Online
For: Students in grades 6–8, younger students are welcome.
Price: Free for Bard Math Circle students and local residents. We are charging $20 for other students who register for the AMC 8 with the Bard Math Circle.
2020-2021 Math Contest Schedule
AMC 8: Tuesday, November 10–16, 2020
AMC 10/12B: Wednesday, February 10, 2021
Purple Comet!: April 6–15, 2021 (specific date TBA)
More Contests TBA!
Answers: 1 (D), 2 (D), 4 (E), 11 (C).
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Visit https://www.annandaleonline.org/mathcircle and make a donation.
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