Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906Clarendon Press, 1907 - 152 pages |
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Page 45
... ages . : 1. Simplify VII . TRINITY TERM , 1903 . - - a — [ a — { a − ( a — a − 1 ) − 1 } − 1 ] − 1 ; - --- - and find the value of 1 1 a + 1 b + 1 c + d when a = 4 , b = 3 , c = 2 , d = 1 . 2. Express in as many factors as possible ...
... ages . : 1. Simplify VII . TRINITY TERM , 1903 . - - a — [ a — { a − ( a — a − 1 ) − 1 } − 1 ] − 1 ; - --- - and find the value of 1 1 a + 1 b + 1 c + d when a = 4 , b = 3 , c = 2 , d = 1 . 2. Express in as many factors as possible ...
Page 47
... numbers such that the differ- ence between their squares is 159 . 8. Show that ( a − b ) 3 + ( b −c ) 3 + ( c− a ) 3 = 3 ( a − b ) ( b− e ) ( c − a ) . : 9. A man has two sons whose ages differ by SEPTEMBER , 1903 47.
... numbers such that the differ- ence between their squares is 159 . 8. Show that ( a − b ) 3 + ( b −c ) 3 + ( c− a ) 3 = 3 ( a − b ) ( b− e ) ( c − a ) . : 9. A man has two sons whose ages differ by SEPTEMBER , 1903 47.
Page 48
... ages differ by 2 years . Ten years ago their combined ages were one - third of their father's age ; and 8 years hence the father will be twice as old as the elder son . Find the present ages of the three . 10. A sum of money is made up ...
... ages differ by 2 years . Ten years ago their combined ages were one - third of their father's age ; and 8 years hence the father will be twice as old as the elder son . Find the present ages of the three . 10. A sum of money is made up ...
Page 53
... ages of all three will be 84. Find their present ages . 10. A sum of £ 1000 is invested partly at 33 per cent . and partly at 54 per cent . The total interest obtained is £ 45 . 128. How much is invested at each rate ? XIII . MICHAELMAS ...
... ages of all three will be 84. Find their present ages . 10. A sum of £ 1000 is invested partly at 33 per cent . and partly at 54 per cent . The total interest obtained is £ 45 . 128. How much is invested at each rate ? XIII . MICHAELMAS ...
Page 57
... ages are at present 60 . How old are A and B ? XVI . SEPTEMBER , 1905 . 1. Find the value when a = 1 , b = −1 , c = 0 , d = 2 , of : ( 1 ) b2 2 a a - a + b + c ( a + b ) ( a − d ) ; 12 a - b + c + d ( 2 ) c - d a + b a - b + c - d c + ...
... ages are at present 60 . How old are A and B ? XVI . SEPTEMBER , 1905 . 1. Find the value when a = 1 , b = −1 , c = 0 , d = 2 , of : ( 1 ) b2 2 a a - a + b + c ( a + b ) ( a − d ) ; 12 a - b + c + d ( 2 ) c - d a + b a - b + c - d c + ...
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2nd pers 2nd person 2nd sing 3rd plur a²+b² ABCD angles aorist bisected cent centre circle compound interest cost Croesus dative decimal Divide equal feet Find the G. C. M. Find the number Find the square Find the value Give the gender Greek HILARY TERM income indic invested isosceles Latin locus MICHAELMAS TERM middle point miles Oratio Obliqua Oratio Recta paper parm perf perp person singular plural Prove quae quam SEPTEMBER sides Simplify Solve the equations square root straight line subj subjunctive tangents Translate triangle ABC TRINITY TERM Turn into Oratio vulgar fraction yards ἀλλ ἂν γὰρ δὲ δὴ εἰ εἶναι εἰς ἐν ἐπὶ καὶ μὲν οἱ οὐ οὐκ πρὸς τὰ τὰς τε τῇ τὴν τὸ τοῖς τὸν τοῦ τοὺς τῶν ὡς