Problems of the Week - May 3 to May 8

Rewards for Problems of the week:

5 points for the correct answer at your level; 10 points for the next level; 20 points each for 2+ levels up.

 Lower Elementary:

Question: Ten of the students in Mrs. Olson’s 1st grade class got all of the questions on their math quiz right. Five students got one answer wrong, and the final 5 students got two questions wrong. How many students are there in Mrs. Olson’s class?

Upper Elementary: 

Question: Mrs. VanFossen is assigning economics project groups to her class of 39 4th graders. How can Mrs. VanFossen divide the class so that there are at least 10 groups with the same number of students in each group?

Middle School:

Question: Mr. Brown teaches 6th grade math and runs the chess club. 75% of the students in his chess club are also in his math class. The other 8 students in the chess club have a different math teacher. How many students are there in the chess club?

Algebra and Up: 

Question: Mr. Wilson’s statistics class is hanging posters around the classroom that feature different graphs. There are twice as many dot plots as there are histograms. There are four more dot plots than pie chart posters. There are three more box-and-whisker plots than dot plots. Mr. Wilson also has a poster of a kitten in his classroom. Altogether, there are 28 posters. How many of each type of poster are there?

Challenge problem to take home. 20 points for the correct answer. 

In New Math City (NMC), streets follow a square grid, and all distances are measured in terms of vertical and horizontal units.

Martin, who lives at (-1, -1), often visits his best friend Nika at (2,1). He always takes the shortest possible route like the one shown.

But that's not the only optimal path. How many routes, including the one shown, can Martin choose from?