1. Define fully and clearly what is meant by the term Topography.

2. Draw as well as you can, in ink, an example about 1-inch square of each of the following objects; (a) a pond or lake; (b) two hills with an intervening valley; (c) a stream with a branch entering it; (d) marshy ground; (e) an orchard; (f) woods; (g) a common road with stone fences and a railroad crossing it. letter indicating each, over it.

Place the

3. Draw in ink a complete profile of a street 1,000 feet long showing the natural ground, the streets crossed, the grade line, with breaks, if any, all to be finished completely and thoroughly as

it would be in an actual case, giving every figure and all information that should be shown. (Do this lengthwise of the sheet.)

4. Notes have been handed you of a land survey, and you are directed to compute the quantity and make an accurate map of the same; give the form of table you would use, explain the meaning of the several quantities, and how they are used.

5. If the drawing mentioned in question 4 is to be made on a large scale, state how you would distribute the errors in angle and measurement among the several angles and sides so as to make your drawing close.

6. Suppose the property in question to be very valuable, how much error in line and angle would you consider to be consistent with careful field work?

7. Having the courses and distances of all the sides of a piece of ground but one, how can you supply the missing data?

8. In locating a survey upon a map, how should the north and south line be placed?

9. In making a plot of a piece of ground (all errors of survey having been balanced), what is the best method of doing it to reduce the errors of plotting to a minimum?

10. What is the best way of indicating the scale of a drawing upon it?

11. Show by sketch the location of the sine, cosine, tangent, cotangent, secant, and cosecant, of an angle of about 30°, giving references to each by letter.

12. In a right-angled triangle of which the base is (b), the vertical (a) and the hypothenuse (c), give the values of the sine, cosine, tangent and cotangent.

13. In a very small triangle, which of these increase most nearly as the angle increases?

14. Describe the several parts of a logarithm, and how logarithms are used in making computations.

15. A field has the sides A B and C D parallel, and the angles at A and C right angles. It is desired to divide it into two equal

parts by a line parallel to A B. Give the distance on A C from A to the given line.

16. Draw as well as you can the following title; pay particular attention to arrangement, spacing and finish of letter: "Topographical map of a portion of the Town of Westchester, made by the Department of Public Works, scale, 1,000 feet per inch; 1897."

No.

ARITHMETIC.

(Give all the work on the ruled sheet.)

Date, April 12, 1897.

(To be done by figures only; no tables to be used.)

1. Compute the area of a hexagon, of which the radius of the circumscribed circle is 51 feet.

2. Compute the area of the following figure, the sides A D and B C being parallel, and A B being perpendicular to both.

3. Compute the cubical contents of the frustum of a cone, the radius of the base being 21 feet; of the top, 14 feet; and the height, 111 feet.

4. Multiply (decimals) .0070903 by .0300903.

5. Divide .70900329 by 29.07501 (carry to five places).

No.

JANITOR-BOARD OF EDUCATION.

GENERAL PAPER.

Date, March 15, 1897.

1. State, generally, what you consider to be the duties of the · position you seek.

2. Suppose you discovered a fire in the second story of a fourstory schoolhouse; state, fully, what you would do.

3. What means or rules would you adopt to prevent the entrance of improper persons into the schoolhouse of which you were in charge?

4. What measures would you take to see that the water-closets of a schoolhouse were at all times kept in fit condition and were used in a proper manner?

5. Suppose you found a defect or break in the plumbing of a building of which you were in charge. Write a report to the Superintendent of Buildings stating concisely, yet fully, the case, assuming such facts as you choose.

No.

TECHNICAL.

Date, March 15, 1897.

1. What kinds of boilers are in use in the public school building in New York?

2. Describe at least one such boiler, giving general characteristics, size, setting; name all the attachments and give steam pressure used.

3. How would you fire such a boiler if you wished to get the most heat for the money expended?

4. State what you would do when but little heat was wanted; and what you would do on a very cold day when much heat is needed.

5. What is the cause of grate bars burning and warping?

6. How do you clean the tubes in a boiler, and how often should it be done?

7. How often is it best that a boiler in New York city be blown down? Describe the process of blowing down and refilling, giving every precaution in full.

8. What is the effect of pumping cold water into an empty boiler when it is hot?

9. If the vapor-pans in a schoolhouse are neglected in any way, what is the effect? State in full.

10. During summer vacations do boilers need any care, and if so, what?

11. State fully what examinations should be made of such boilers, and how often they should be made?

12. State the defects which should be looked for in such boilers as the result of use, such as you would look especially for in an examination.

13. Does the safety valve of a boiler need any attention? If so, what?

14. What is "grooving" in a boiler?

15. Suppose a tube to leak at one of the heads of a boiler; how do you tighten it?

16. Suppose a tube to leak at some other point, what do you do? 17. Do you determine the water in your boiler by the watergauge? Answer fully, with reason.

18. In starting up the fire at the beginning of a school term, state everything you should do, in detail.

19. Describe in a general way the several parts of a heating system in a schoolhouse and their arrangement.

20. What is the cause of the noise sometimes made by steamheating pipes?

21. What is the action of a steam injector?

22. Suppose the water in a boiler to get very low, what is the proper procedure?

23. In starting an engine when it has been idle for some time, what should be done? What will happen if this be left undone? 24. What is a gland, and how is it packed?

25. What is the cause of lost motion in an engine, and how does it affect it?