Fav Problems

  • Judy has 5 times as many as Rudy. Trudy has 3 times as many as Rudy. Combine all 3, and they have 99. How many does each have?
    It takes me 3 hours to paint a house. It takes you 5 hours to paint a house. How many hours does it take us to paint the house together?
  • How tall would a tower of 100 red solo cups be?
  • Yolanda and Yoko ran in a 100-yard dash. When Yolanda crossed the finish line, Yoko was 10 yd behind her. The girls then repeated the race, with Yolanda starting 10 yd behind the starting line. If each girl ran at the same rate as before, who won the race? By how many yards?
  • If you have a full glass of water and pour out half, then add half of what you poured out, then pour out 2/3 of what you now have, what fraction of the glass is full?
  • Thomas is reading a 255 page book. He needs to read twice as many pages as he has already read to finish the book. How many pages has he read so far?
  • Alphas increased by 40 percent equal Betas. Betas decreased by 30 percent equal Gammas. What percentage of Alphas are Gammas?
  • The fire department was training rookies. 2/3 of the rookies were partnered with 3/5 of the experienced force. What fraction of the firefighters were partnered?
  • Last weekend I was watching leaves fall from a tree. I noticed an interesting pattern. The first minute, only one leaf fell. During each passing minute, the number of leaves that fell was equal to the total on the ground plus one. If the pattern continued, how many leaves fell during the 12th minute? During the 24th minute? How many leaves would fall during the nth minute.
  • Chocolate Problem: Last vacation, my cousin came over to stay at my home. We made the most of her stay at my place... and I even earned a few chocolates. Everyday we would play a game of chess. Whoever lost the game owed a chocolate to the other. After the last game we played (that was the day she was to leave), we counted the number of games each of us had won and lost. Wow! I had won more than her. So, she handed me 20 chocolates... though she herself was the winner in 7 games. How many days did my cousin spend at my place?
  • How many degrees does a minute hand of a clock turn through from 6:20 am to 8 am on the same day?
  • Credit to http://marilynburnsmathblog.com/ for this: 
  • This is from an app on my iPhone from a Warriors game. What can you say about how the game is going so far from this graph?
  • This problem will make you think: 
  • A sample 7th grade SBAC problem: Enter the value for "p" so that the expressions 5/6 - 1/3n is equivalent to p(5-2n)
  • What fraction is yellow?
  • Silent Board Game with percents, decimals, and fractions
  • Solve this using mental math and be able to explain how:

  • What theorem does the following video describe? Explain. 

  • ABC is an isosceles triangle. If angle A is 70 degrees, there are 3 possible sizes for angle B. What are they?

  • The famous paint problem (short blog write up)
  • (courtesy of @solvemymaths)
  • (courtesy of Greta & @mathsjem)
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