Problems of the Week - March 8 to March 13

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: What are the next 4 numbers in the pattern?

50, 45, 46, 41, 42, _____, _____, _____, _____...

 Upper Elementary:

Question: Chloe gets on her bike at home and rides 2 miles north to the post office. From there, she rides 3 miles west to the library. Then, she rides 4 miles south to the park, then 5 miles east to the farmer’s market. Finally, Chloe rides her bike 2 miles north to her friend Daniel’s house. How far away is Daniel’s house from Chloe’s house? In what direction?

Middle School:

Question: The figure below is horizontally and vertically symmetrical. What is its area?

(The figure is not drawn to scale.)

 Algebra and Up:                                                                             

Question: There are two perpendicular lines graphed on a plane. Line A goes through the points (2, 1) and (6, 3). Line B goes through (2, 1) and (x, 5). Solve for x.

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

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How many triangles would balance three circles?