Water glasses on a shelf are broken and must be replaced. The replacement cost can be cut in half if you can figure out how many glasses were broken. The clues are:  There were more than 24 glasses, but less than 100 glasses.  If the glasses were in rows of 6, there would be 3 leftovers.  If the glasses were in rows of 8, there would be 7 leftovers.

Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class has 31 students, in how many ways can the students be chosen to help?

A group of five people line up for a photo. There are two adults and three kids in the group.How many ways are there to line up the people if an adult must be on each end of the line up? 12 24 48 120

To make an A in Prof. Broussard’s math class, a student must have an average of at least 90 on five tests. Andy has made 91, 83, 89, and 94 on the first four tests. What must he make on the fifth test to get an A?

With six card, each card has 32 numbers on it. If Fraudini added two new cards (and updated the old ones) so that he could "read" your mind for larger number  What numbers would appear in the upper left-hand corners of the new cards? Explain.   What would be the largest number that he could "read" (it was 63 for six cards)? Explain .   Which of his eight cards would have the number 213 on them? Explain.