xcii Agricultural Education — Examination Papers^ 1874. 



EXAMINATION IN MENSURATION AND 

 SUEVEYING. 



Maximum Number of Marks, 100. Pass Number, 50. 

 Tuesday, April 14:th, from 2 p.m. till 5 p.m. 



1. If 4,500 bricks are required for a rod of brickwork ; bow laany 

 bricks will be required to build a wall 300 feet long, the two lowest 

 courses being 2 bricks thick, the next two 1^ brick thick, the next. 

 24 courses 1 brick thick ? (Four courses go to a foot.) 



2. The external and internal radii of the rim of a flywheel are 10 ft. 

 and 9 ft. resjiectively ; its thickness is 6 in. ; "What is its weight ? 

 (Specific gravity 7-2.) 



3. A quadrilateral (ABCD) has its four sides in order (AB) 500, 

 (EC) 300, (CD) 400, (DA) 600 ft. long respectively; what is the 

 greatest area it can contain ? If the diagonal AG is 600 ft. long, 

 what is then its area ? 



4. In drawing the plan of an estate you wish to represent every 200 

 acres, on not more than a square foot of paper, what is the largest 

 scale you should use ? 



5. Describe briefly the vernier, and explain its use in the measure- 

 ment of small distances. 



6. Two walls of a garden are at right angles to each other ; when 

 the sun is due south the shadow of that which inclines towards the 

 west is 8ft. wide ; the shadow of that which inclines towards the east 

 is 5ft. wide ; find the exact bearing of the walls to the east and west 

 of north. (It is assumed that both the shadows fall within the right 

 angle made by the walls, that the gi'ound is horizontal, and the walls 

 of the same height.) 



7. Two sides of a triangle are 7549 and 8536 ft. long; they 

 contain an angle of 135° 19'; calculate the length of the third side and 

 the area of the triangle. 



8. AB are two points 573 ft. apart ; PQ two other points on the 

 same side of AB ; it is found that the angle PAB contains 113° 10'; 

 QAB 23° 10' ; PBA 57° 30' ; QBA 145° 42' ; determine PQ (l)by a 

 construction made with scale and protractor, (2) by calculation, 



9. Plot the Section given by the following entry of levels : — 



