Problems of the week - May 16 to May 22

May 16, 2022 | Lake Boone

Rewards for Problems of the week:

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

Lower Elementary:

Question: One robot can lift and carry 900 pounds. A second robot can lift and carry 1,800 pounds. If the robots work together, can they lift a boulder that weighs 2,500 pounds?

 

 

Upper Elementary:

Question: A fruit punch powered robot has a box-shaped punch tank that is 10 centimeters wide, 20 centimeters long, and 30 centimeters high. If the tank already has 600 cubic centimeters of punch in it, how much more punch can the robot hold?

 

 

Middle School:

Question: There are three different types of robot batteries. A blue battery lasts as long as three green batteries. Two green batteries last as long as five yellow batteries. How many yellow batteries last as long as a blue battery?

 

 

Algebra and Up:

Question: A robot can run 25 meters per second. The robot’s robot dog, K9, can run 20 meters per second. If K9 runs away from the robot and the robot starts chasing it 10 seconds later, how long will it take for the robot to run and catch K9?

 

Challenge problem to take home. 5 stars for the correct answer. 

Here is the part of a repeating pattern, that stays the same and repeats itself.

The pattern contains these 5 objects and then it repeats. 

Question 1: What would be the 15th object in this pattern?

Question 2: What would be the 28th object in this pattern?

Question 3: What would be the 101st object in this pattern?