POTW

Time Online

1 1 3 4 5 6 7 4 2 2 4 6 7 8 8 3 5 15 18 19 20 12 6 8 13 21 23 25 14 21 28 26 34 55 60 29 32 43 54 72 89 91 87 89 95 102 106 144 233 116 205 225 204 318 356 377 The path through the number maze is determined by a mathematical pattern. Each number in the pattern is followed by a number next to it or below it in the maze. The pattern begins with 1, 1, 2, 3, 5, 8, and ends with 377. What are the seven numbers in between? What is the rule for the pattern?

POTW

At a family get-together, there is a father, a mother, a brother, a sister, a son, a daughter, a niece, a nephew, an uncle, an aunt, and two cousins. They all have a common ancestor. However, there are only four people present: Seymour, Samantha, Simon, and Sandra.

How is this possible?

POTW

At a family get-together, there is a father, a mother, a brother, a sister, a son, a daughter, a niece, a nephew, an uncle, an aunt, and two cousins. They all have a common ancestor. However, there are only four people present: Seymour, Samantha, Simon, and Sandra. How is this possible?

April 9th POTW

Apple Picking

Three people picked 65 apples altogether. At the first tree they each picked the same number of apples. At the second tree they each picked 3 times as many as they picked at the first tree. When they finished at the third tree, the group had 5 times as many apples as they had when they started at that tree. At the fourth tree the group picked just 5 apples. How many apples did each person pick at the first tree?

POTW #JSHSHSHANAGNS

A bat ate 1,050 mosquitoes in four nights. Each night she ate 25 more than the night before.

How many did she eat each night?

POTW #10

A recent census form included a space for residents to record the ages of all children in the household. One resident wrote: "I have three children. The product of their ages is 72. The sum of their ages is the same as our house number." The census worker who had to process the form phoned this resident to complain that this was not enough information. "I'm sorry," replied the resident. "I forgot to mention that my oldest child likes chocolate pudding." The census worker thanked the resident and hung up the phone. How old were the children? (Hint: list all the ways that 72 can be expressed as a product of thee natural numbers.)

POTW #5

A perfect square is any number n x n = n² where n is any natural number. For example, since 6 x 6 = 36, then 36 is a perfect square.

What is the least positive integer m such that 126m is a perfect square?

(Remember:126m means “126 times the number m.”)