36 THE VETERINARY PROFESSION 



2. Divide x^ + x" + I hy x^ + x+i. 



3. In the expression 2X^ - 3.r" + 4X - 5 write y- 2 for :*;, 

 and simplify the result. 



4. State which of the following expressions cannot be re- 

 solved into rational factors, and give the factors of the others : 

 a- - X', a^ + x\ a^ - x^, a* + x\ a^ + x^ 



5. Simplify — 



(i) ' ' 



(ii) 



2JC - I X+ 2 2VC^ +3-2 



x^ + 2xy 2xy -y'^ x:^ +7^. 



xy -y"^ x"^ + xy xy 

 6. Solve the equations — 



^^—2 -J-= \2 ■'- 



5 7 



^.T - I 7 y + 2 

 •^ + , — = 2X-y 



(iii) 



4 6 



x-Va X - a -?>b 



a + 2b a - 2b 



7. How many times is the sum of money b shillings a pence 

 contained in the sum b"^ pounds 2ab shillings (a- + 8rt^) pence ? 



8. If 2.Y- 37 + 4 = o and 3.^ + 27 - 4 = o, find the value of 



2f^+ SJ - 4 

 3^-2j^ + 4* 



9. A workman in the country saves J[^\o 2l year. He goes 

 to a town where he earns 10 per cent, more than in the 

 country, while his expenditure is 5 per cent, greater. In the 

 town he saves ;^i5 a year; find his income. 



EUCLID 



Books I— 1 1 1 



[Ordinary abbreviations, such as |f, |p"'", u '", sq., 0^are allowed, 



and candidates are advised to adopt them ; but in no case 



may algebraical symbols, such as the minus sign, and AB"^^ 



be used.] 



I. If, at a point in a straight line, two other straight lines, 



on opposite sides of it, make the adjacent angles together 



