Bard Math Circle: Online AMC 8 registration continues

Oct 16, 2020

Dear Math Circlers,

Our (online) site is almost half full, so please register to take the AMC 8 with us now, and don't miss out!

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!

Sincerely,

Bard Math Circle

Can you solve these problems from the 2019 AMC 8?

1. Ike and Mike go into a sandwich shop with a total of

to spend. Sandwiches cost

each and soft drinks cost

each. Ike and Mike plan to buy as many sandwiches as they can, and use any remaining money to buy soft drinks. Counting both sandwiches and soft drinks, how many items will they buy?

$\textbf{(A) }6\qquad\textbf{(B) }7\qquad\textbf{(C) }8\qquad\textbf{(D) }9\qquad\textbf{(E) }10$

3. Which of the following is the correct order of the fractions

and

from least to greatest?

$\textbf{(A) }\frac{15}{11}< \frac{17}{13}< \frac{19}{15} \qquad\textbf{(B) }\frac{15}{11}< \frac{19}{15}<\frac{17}{13} \qquad\textbf{(C) }\frac{17}{13}<\frac{19}{15}<\frac{15}{11} \qquad\textbf{(D) } \frac{19}{15}<\frac{15}{11}<\frac{17}{13} \qquad\textbf{(E) } \frac{19}{15}<\frac{17}{13}<\frac{15}{11}$

7. Shauna takes five tests, each worth a maximum of

points. Her scores on the first three tests are

, and

. In order to average

for all five tests, what is the lowest score she could earn on one of the other two tests?

$\textbf{(A) }48\qquad\textbf{(B) }52\qquad\textbf{(C) }66\qquad\textbf{(D) }70\qquad\textbf{(E) }74$

11. The eighth grade class at Lincoln Middle School has

students. Each student takes a math class or a foreign language class or both. There are

eighth graders taking a math class, and there are

eight graders taking a foreign language class. How many eight graders take only a math class and not a foreign language class?

$\textbf{(A) }16\qquad\textbf{(B) }23\qquad\textbf{(C) }31\qquad\textbf{(D) }39\qquad\textbf{(E) }70$

Read below for the answers!

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 1, 2020
AMC 10/12B: Wednesday, February 10, 2021
Purple Comet!: April 6–15, 2021 (specific date TBA)
More Contests TBA!

Answers: 1 (D), 3 (E), 7 (A), 11 (D).

SUPPORT THE BARD MATH CIRCLE
Are you interested in donating to the Bard Math Circle?
Visit https://www.annandaleonline.org/mathcircle and make a donation.
Help support math enrichment in the Hudson Valley!

Bard Math Circle

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