Sunday, February 28, 2010

Oh No! The Boys are in the Kitchen!


Caleb, Houston, Blake, Daniel, and Dakota made 87 muffins altogether.

  • Houston made 16 muffins. He put nuts in 1/4 of them.

  • Caleb made 1 less muffin than Houston. One third of them had nuts.

  • Blake and Daniel each made 3 more muffins than Caleb made.

  • Blake put nuts in 1/3 of his muffins.

  • Daniel put nuts in 1/2 of his muffins.

  • Dakota put nuts in 1/4 of his muffins.

How many muffins in all had nuts?

Friday, February 19, 2010

Hoop Time


Player A Player B Player C Player D Player E
9
10
12
13
11
14
16
16
13
16
19
18
16
14
18
15
17
19
17
17
13
12
13
12
15

Daniel, Blake, Houston, Michael, and Ryan often play a half-hour-long game of basketball. They keep track of the number of points each player has earned each game. The scores are listed above.

  • The mean of both Daniel's and Blake's scores is 17.
  • The median of Michael's scores is 3 less than the median of Houston's scores.
  • The mean of Ryan's scores is less than the mean of any other player's scores. There is no mode of Ryan's scores.
  • The mode of Daniel's scores is 1 more than the mode of Blake's scores.
  • There is one player whose scores yield 2 modes.

Which scores belong to which player?

Friday, February 12, 2010

Oops! There are Two To Do!! :)

Bobby has 5 shirts: red, blue, green, yellow, and black. He has 4 hats: red, blue, green, and black. He has 3 pairs of pants. How many outfits can he make?


If seven people meet each other and each shakes hands only once with each of the others, how many handshakes will there have been?

Sunday, February 7, 2010

Bike Race!

Kailyn, Daniel and Brandon had a contest to see who could bike the most miles. Together Kailyn and Daniel biked 21 miles. The combined total for Kailyn and Brandon was 19. Together Brandon and Daniel rode 22 miles.

Who was the winner?