For questions 1 -> 5, give the correct Township-Range grid locations of the following landmarks or topographic features on the map:

1.    Lincoln Jr. High School (near the site of the Skokie campus of Oakton Community College):

NW 1/4 of NE 1/4 of Section 28, T41N, R13E

2.    Park Ridge School, south of Oakton Street:

NE 1/4 of NE 1/4 of Section 26, T41N, R12E 

3.    The island located in the middle of Beck Lake:

SE 1/4 of NE 1/4 of Section 31, T42N, R12E 

4.    The mobile home park located northeast of the Chicago, Milwaukee, St. Paul & Pacific Railroad tracks (running NW to SE) and Glenview Naval Air Station:

SE 1/4 of SW 1/4 of Section 23, T42N, R12E 

5.    Tower Road Dam, inside Skokie Lagoons:

SE 1/4 of NE 1/4 of Section 13, T42N, R12E 

6. What is the distance (to the nearest 100 feet) covered by the Chicago & Northwestern Railroad tracks (running NE to SW) across this map? What is this distance in miles (to the nearest 1/10)?
About 31,000 feet
About 5.8 miles

7. Find the range line that separates R12E and R13E. What happens to the orientation of this boundary line as it runs south? What water body marks the transition point?

The range line shifts to the west at the boundary between T42N and T41N, near the Chicago River.

8. Locate the NW 1/4 of NE 1/4 of Section 20, T42N, R12E. Are there any contour lines which indicate a depression rather than a hill? How do you know this?

Yes, there are hachure lines ("teeth" on the contours) which radiate inwards to indicate a depression.

9. What is the highest topographic elevation point in the NW 1/4 of Section 8, T41N, R13E? What is this area called?

Highest elevation here is 650 feet.  (Note that south of Central Road, Section 8 is incomplete.) This area is the forest preserve.

10. Locate Axehead Lake, near Des Plaines, on the map. What does the number in blue represent? Give the township and range coordinates of the lake:

 The elevation of the surface of Axehead Lake is 625 feet above sea level.  NE 1/4 of NE 1/4 of Section 33, T41N, R12E

11. What distance in miles is covered North to South on this map?

Approximately 8.6 miles.