Daily Practice

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AMC8 2018 #22 © MAA
Point (E) is on side (AB) of regular pentagon (ABCDE). If (BE = frac{1}{3} cdot AB), what fraction of the area of (ABCDE) is triangle (BEF), where (F) is the center of the pentagon?
AMC8 2017 #4 © MAA

When 0.000315 is multiplied by 7,928,564 the product is closest to which of the following?

AMC8 2014 #23 © MAA

Three members of the Euclid Middle School girls’ softball team had the following conversation.

Ashley: I just realized that our uniform numbers are all 2-digit primes.

Bethany : And the sum of your two uniform numbers is the date of my birthday earlier this month.

Caitlin: That’s funny. The sum of your two uniform numbers is the date of my birthday later this month.

Ashley: And the sum of your two uniform numbers is today’s date.

What number does Caitlin wear?

AMC8 2014 #1 © MAA

Harry and Terry are each told to calculate 8-(2+5). Harry gets the correct answer. Terry ignores the parentheses and calculates 8-2+5. If Harry’s answer is H and Terry’s answer is T, what is H-T?

AMC8 2022 #16 © MAA

Four numbers are written in a row. The average of the first two is 21, the average of the middle two is 26, and the average of the last two is 30. What is the average of the first and last of the numbers?

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