The 2022 Math and AI 4 Girls Award Ceremony will be on Saturday, June 18th, 2022 at 2PM EST.​
Many thanks to our gracious sponsors: HPE, Automation Anywhere, JPMorgan Chase and D.E. Shaw. We would also like to thank our partners, MathCounts and AI4ALL.
Finally, this year's competition wouldn't be possible without our wonderful team members: Yunseo Ha, Kira Lewis, Chinmayi Goyal, Maggie Bai, Snigtha Mohanraj, Andrea Chen, Ivy Guo, Daria Bondarenko, and Sailalitha Kodukula. These girls, a group drawn exclusively from last year's top scorers, have been exemplary in their talent, passion and thoughtfulness.
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Award Recipient List:
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Top 10:
1st Place: Amritha Praveen, IL, 6th grade​
2nd Place: Kira Lewis, NY, 8th grade
3rd Place: Advika Asth
Past Problems of the Week
Join our Discord server to submit your answers for the competition here: https://discord.gg/v32fxjUbgn
3/29 - 4/04 POTW
Consider a square pyramid with base side length of 20 cm. The pyramid is placed so that the four corners are (0, 0) (0, 20) (20, 0) and (20, 20). A plane containing the vertex, (0, 1) and (1, 0) is used to “shave” off an edge of the pyramid. A second shave is made with a plane containing the vertex, (0, 2) and (2, 0). Find the ratio between the volume of the piece shaved off the first time, and the volume of the piece shaved off the second time.
Written by Helen Wan
3/15 - 3/21 POTW
Five wizards Aldric, Brina, Cedric, Daria, and Eamon are guarding five potion bottles, numbered 1 through 5. Each bottle has a unique color: red, blue, green, yellow, and purple. Each wizard knows exactly two bottles, and makes a statement about them: Aldric knows bottles 1 and 3; he says: "Bottle 1 is not green or red, and bottle 3 is not red or blue." Brina knows bottles 2 and 4; she says: "Bottle 2 is not red, blue, or purple." Cedric knows bottles 3 and 5; he says: "Bottle 3 is not purple, and bottle 5 is not red." Daria knows bottles 1 and 5; she says: "Bottle 5 is not blue or green." Eamon knows bottles 2 and 3; he says: "Bottle 2 is not green." Determine which bottle is green.
Written by Thanishkka Vijayabaskar
3/8 - 3/14 POTW
Tom puts 2 red and 2 green roses in a circle. A 4-sided dice has the numbers 45, 90, 135 and 180. Tom rolls the dice, and whatever number it lands on is how many degrees clockwise he rotates the circle of roses. If roses of the same color are indistinguishable, what is the probability that after 2 dice rolls, the positions that initially had red roses still have red roses?
Written by Adwita Mandiwal
2/01-2/06 POTW
Joe is playing a game with infinite cups where he wants to maximize the number of points he earns. Joe plays by tossing ping pong balls into cups, starting with cup 1, and continues until he misses. He makes each shot with 1/3 probability, and the number of points he earns is i, where the (i+1)th cup was his first miss. What is the expected number of points he earns? Express your answer as a common fraction.
Written by Aashita Mandiwal
1/25 - 1/31 POTW
Seven balls are numbered 1 through 7. There are three buckets; one red, one green, and one blue. How many ways are there to put them into the buckets such that no two consecutively numbered balls go into the red and green buckets, no three consecutively numbered balls go into the blue bucket (but two consecutively numbered balls can), and the blue bucket can't be empty?
Written by Elaine Zhou
