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2022- 2023 Math Problems of the Week & Solutions

 

 

2022-2023

Archived Problems of the Week 

 

Solutions

POW #1: Caravan of Camels There were 61 camels in the caravan. (60 is a multiple of 2, 3, 4 and 5 so if 61 camels walked in rows of 2,3,4 or 5, there would be 1 leftover).
POW #2: Building Blocks 26 white blocks are needed to surround 10 black blocks.
POW #3: Handshakes There would be a total of 91 handshakes.
POW #4: Girls on the Run 4 girls participated in both Girls on the Run and the Pierce Musical.
POW #5 Date Patterns There are 8 dates left in the 2022-23 school year that follow the pattern. Nov 11, Dec 12, Jan 22, Feb 21, March 20, April 19, May 18, June 17 (because 6 + 17 = 23).
POW #6: Fruit Stand

The cost of 1 apple, 1 banana and 1 pear is 30 cents. (If you used a dime and a penny to purchase the apple (Alex used 2 coins), then the coins to make 30 cents could include:

2 dimes and 10 pennies or

2 dimes, 1 nickel and 5 pennies, or

1 dime, 3 nickels and 5 pennies, or

1 dime, 2 nickels and 10 pennies, or

1 dime, 1 nickel and 15 pennies.

POW #7: What's the Score? There are 9 possible combinations, with Germany winning and at least one goal and a final score of Germany 4: Costa Rica:2.
POW #8: Happy New Year! They can count go 2,023 before noon. It would take 33 minutes and 43 seconds.
POW #9: Giving Away Half The candy store began the day with 160 gumballs.
POW#10: 100 Pound Potato Challenge There are 11 different combinations (0 5lb bags and 50 2lb bags, 2 5lb bags and 45 2lb bags, 4 5lb bags and 40 2lb bags, 6 5lb bags and 35 2lb bags, 8 5lb bags and 30 2lb bags, 10 5lb bags and 25 2lb bags... etc)
POW #11: Boxed In There are 52 blocks that touch a side.
POW #12: Dance Party There were 42 people on the dance floor when the song finished.
POW #13: What time is it? There are 72 different times, including 36 for am and 36 for pm.
POW #14: Planting Pierce Garden There are 92 square feet of planting surface for lettuce seeds.
POW #15: Tangram Cost It will cost $4.00 to make the whole tangram puzzle.
POW 16: Million Dime Heist There would be 200 buckets of dimes.
POW #17: That's a Lot of Nickels and Dimes A meter high stack of nickels would be worth $25.
POW #18: Salad Day