Junior Examination Papers, 1890. 
859 
EXAMINATION IN MENSURATION AND LAND SURVEYING. 
Maximum Number of Marks, 100. Pass Numbee, 40. 
Wednesday, November 12, 1890. (Tiro hours allowed.) 
1. The sides of a triangle are 1,700, 1,180, 1,020 links; calculate its area, 
and verify the calculation by drawing the triangle to the scale of 1 inch 
eqral to 5 chains, and finding the area from the construction. 
2. The area of a rectangular field is 15 acres 2 roods; the length of one 
side is 1,875 links ; find the length of the adjacent side. 
3. The circumference of a round table is 22 feet ; find the number of cubic 
feet of wood in its top, which is 1| inch thick. 
4. Draw a diagonal scale of inches, 3 inches long ; one of the inches being 
divided in such a way that readings can be taken true to the one-hundredth 
part of an inch. 
Mark the position of the points of the compasses when placed so as to take 
from the scale a distance of 2 74 inches. 
5. A and B are two points in a straight line 1,820 links apart ; A and B are 
on a boundary ; a surveyor measures from A to B, and at the following distances 
takes offsets to the left — viz. at 150, 370, 560, 730 links from A, the offsets to 
the boundary are 23, 42, 73, 15 links ; at 850 links from A the line crosses the 
boundary; lie now takes offsets to the right — viz. at 1,010, 1,290, 1,550, 1,710 
links from A, the offsets to the boundary are 20, 61, 40, 45 links, (<z) Arrange 
these measurements in the usual form of entries in the Field Book ; (b) draw 
the boundary to a scale of 1 inch equal to 200 links ; (e) calculate the areas 
to the left and right of A B. 
6. What is a datum line in levelling ? 
A and B are two points on the ground 20 feet and 15 feet above the datum 
line, and 300 feet apart horizontally ; show the points and the slope of the 
ground between them in a diagram, using as a vertical scale 1 inch equal to 
10 feet, and as a horizontal scale 1 inch equal to 60 feet. If the back reading 
(towards A) of the levelling staff is 3 feet, what is the fore reading (towards 
B) ? If the axis of the telescope is 4 feet 8 inches above the ground, show in 
the diagram the position of the instrument. 
