414 
Senior Examination Papers, 1891. 
EXAMINATION IN MENSURATION AND LAND SURVEYING, 
Maximum Number op Marks, 200, Pass Number, 100. 
Tuesday, May 12th, from 10 a.m. till 1 ji-™- 
1. What is the numerical value of an acre, expressed («) in square yards. 
(5) in square chains, (c) as a fraction of a square mile ? 
A rectangular piece of land has an area of 9 acres 2 roods 37 poles ; the 
length of one side is 9'94 chains ; what is the length of the adjacent side ? 
2. What is the number of yards in the diameter of a circular enclosure 
whose area is one acre ? (N.B. 7ir = 22.) 
What would be the number of yards in the diameter if the area were 
20 acres 1 rood ? 
3. Pieces of round timber, each 9| feet long, are cut into planks ; in the 
process the following cuts are made : 15 cuts 25 inches deej), 15 cuts 22 inches 
deep, 3 cuts 13 inches deep, and 31 cuts 6 inches deep ; what will be the 
charge for the cuts, at 5 shillings a hundred square feet ? 
4. A solid of irregular shape is found to weigh 75,423 grains in water, and 
84,537 grains in air; find the volume of the solid, having given that a cubic 
inch of water weighs 252'8 grains. 
What would the calculated volume be if it were assumed that the weight 
of a cubic foot of water is 1,000 ounces (avoird.) ? 
5. A and B are two accessible points, not very far apart, separated by a 
pond, or other obstacle ; show how to lay down on the ground a line equal in 
length to A B, using only tapes and pickets, and witliout producing any short 
line, or measuring any angle. 
6. ABODE is a piece of ground enclosed by five lines ; the following 
lengths are measured, viz. : the sides, A B 2,875, B 0 3,648, C D 4,020, D E 
4,874, E A 3,578, and two diagonals, A C 6,126, A D 4,783 ; all in links. Take 
the line A 0 to be three inches long and draw a scale ; then, using the scale, 
draw a plan of the ground, and find its area from the plan, 
7. A, B, 0, D, E, P are points in succession along a road, and the sur- 
veyor is supposed to be going from A to F ; he first puts his level at X, between 
A and E, and afterwards at Y, between E and F ; the levelling stafi is held 
successively at A, B, C, D, E, F, and the following entries are made : 
Station 
Back Reading 
lutermecliate 
Forward 
Distance 
G-40 
13-21 
300 
X . 
3-78 
650 
804 
1,«80 
12-92 
2,179 
Y . .{ 
315 
- 
(•>-75 
3,207 
The distances arc, of course, from A to B, B to 0, &c., and arc in links. 
Complete the form by entering rise, fall, and reduced level, assimiing that A 
is 20 foot above tlic datum line ; and draw a section of tlie ground, using as a 
horizontal scale 1 inch equal 5 chains, and as a vertical scale 1 inch equal to 
10 feet. 
8. A, B, C are three points; from A to B is 1,200 vards, from B to C is 
2,874 yards ; at A, A B bears N. 23°18' W., and at B, B C bears N. 72°47' E. ; 
calculate the distance from A to C, and the bearing of A C at A. Verify the 
results by construction, usin?- a scale of 1 inch eoual to 500 yard.s. 
