PROBLEMS OF THE MONTH
Joanne sets up her Ninja Turtles in a big circle with each turtle spaced an equal distance from its neighbors. She then proceeds to count them in order around the circle. Unfortunately she loses track of where she started before she finishes counting. But, she realizes that she can still figure out how many turtles are in the circle by noticing that the sixth turtle is directly opposite the seventeenth turtle. How many Ninja Turtles are in the circle?
John rides his bike one-third of the way from his house to school where he meets his friend, Joe. After he rides another mile John is halfway to school. How far is the school from Joe’s house?
Continue this pattern. How many dots are there in the thirty-fourth figure?
The picture shows six equal squares. The total area is 54 ft 2. What is the perimeter?
A mixture is ¼ red paint, ¼ yellow paint, and ½ water. If 4 quarts of red paint are added to 20 quarts of the mixture, What is the proportion of red paint in the new mixture?
Elmo was having some bad recurring nightmares. He was having a nightmare about 19 witches casting 19 spells each on him and these recurred every 19 days. He was also having nightmares every thirteen days about 13 black cats crossing his path. He had a bad week in April when on the night of Friday April 5, he had the nightmare about the 19 witches casting their 19 spells. The very next night he had the nightmare about the 13 black cats. Elmo knows that he can handle these nightmares when they occur from time to time, but he is really worried about them both occurring on the same night. Do they occur on the same night by the end of the year? If so, on what date do they occur together?
Three adults and two kids want to cross a river using a small canoe. The canoe can carry two kids or one adult. How many times must the canoe cross the river to get everybody to the other side?
As one of the first assignments in Kristina's math class, everyone was asked to make up a puzzle. The puzzle had to have four equations, or clues, and from those clues other students would try to figure out what numbers could be substituted for the box and the triangle so that all four statements are true. Here's Kristina's puzzle:
What numbers do the box and the triangle represent?
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