What are the derivations of Romanus, orationem, orator, and the meaning of the derivative terminations in each? What is the construction (i. e. where are they made and why) of omnium, se, videretur (in each of the two cases), edisceret, ea, scriptam esse, ei (first one), attulisset? What are the principal rules for the change from Direct Discourse to Indirect ? Translate: XXVI. Sin autem quis requirit, quæ causa nos impulerit, ut hæc tam sero literis mandaremus, nihil est, quod expedire tam facile possimus. Nam, cum otio langueremus, et is esset reipublicæ status, ut eam unius consilio atque cara gubernari necesse esset; primum, ipsius reipublicæ causa, philosophiam nostris hominibus explicandam putavi, magni existimans interesse ad decus et ad laudem civitatis, res tam graves tamque præclaras Latinis etiam literis contineri. Eoque me minus instituti mei pœnitet, quod facile sentio, quam multorum non modo discendi, sed etiam scribendi, studia commoverim. Complures enim, Græcis institutionibus eruditi, ea, quæ didicerant, cum civibus suis communicare non poterant, quod illa, quæ a Græcis accepissent, Latine dici posse diffiderent. Quo in genere tantum profecisse videmur, ut a Græcis ne verborum quidem copia vinceremur. Decline civibus, decus, status, quis, graves. Compare minus, graves. Give the principal parts, Active and Passive (if any), of requirit, impulerit, sentio, diffiderent, eruditi, vinceremur. Give the synopsis of didicerant, commoverim, pœnitet. Explain construction (where made and why) of possimus, esset, hominibus, magni, me, instituti, scribendi, commoverim, diffiderent. ARITHMETIC. I. 1. Reduce,,, and to their Least Common Denominator. 2. Divide 161 by 42. Divide of 18 by 1 of 33. 6. How long must $133 be on interest (simple) at 7 per cent to gain $32,585 ? 7. What is the compound interest on $1,000 for 3 years at 7 per cent (interest payable annually)? 8. What is the cube of? of .006 ? 9. Divide 46.08 by 1,000. Divide 1.096641 by 15.21. 10. What is the square root of 104.8576? 11. What is a Circulating Decimal? Give an example of a Circulating Decimal. 12. What are Duodecimals? II. 1. Find the Greatest Common Divisor of 48 and 130. 2. Reduce,,, and to their Least Common Denominator. 3. What part of 18 is ? 4. Subtract 15 from 18. 5. Divide 11 by 13. Multiply the same. 6. Divide of of 21 by 10 31 7. Write 12 and 2 in a decimal form. Give the division in decimals of the first by the second. 8. Divide .09 by .0016. Multiply them. 9. Divide 876.196 by 2.12. If the decimal point were moved, in the first, two places to the left, and, in the second, one place to the right, how many times greater or less would the quotient be? 10. Find the square root of 49.2804. 11. What is the fourth power of 2? of 0.2? of .02? 12. If a man travels 64 rods in .05 of an hour, how many minutes will it take him to go a mile? 13. Find the simple interest on $1,000 for 1 yr. 2 mos. and 12 ds. 14. How many feet, board measure, in a plank 12 ft. 4 in. long, 2 ft. 3 in. wide, and 4 in. thick? (Multiplication of Duodecimals.) III. 1. What is the Least Common Multiple of 20, 24, and 36? 2. Add §, 1, 2, and 3. 3. Multiply 48 by. Divide of 4 of 78 4. Reduce 192 5. Reduce by f. to its simplest form. of a bushel to the fraction of a pint. 6. Reduce 5 yds. 2 ft. 6 in. to the decimal of a rod, long measure. 7. Multiply 34.27 by 60,000. Divide 10634.16 by .4506. 8. At what rate per cent must $370 be put on interest to gain $55.50 in three years? 9. What is the amount of $25 for 3 yrs. 5 mos. at compound interest? 10. What is the third power of 30? of .03? 11. What is the square root of 104.8576 ? 12. What are the contents of a granite block that is 8 ft. 9 in. long, 3 ft. 2 in. wide, and 2 ft. 5 in. thick? (Multiplication of Duodecimals.) IV. 1. What is the Greatest Common Divisior of 1181 and 2741 ? 2. Reduce, and to a Common Denominator. 3. Divide of 18 by 11 of 33. 31 4. Add , and of §. 5. Reduce of a gallon to quarts, pints, etc. 6. Multiply 4 lbs. 8 oz. 16 dwt. 20 gr. by 72. 7. Find the interest on $76.72 from April 18, 1852, to January 26, 1855, at 6 per cent. 8. What principal at 6 per cent will amount to $360,585 in 16 months? 9. Multiply .427 by 345. 10. Divide 87.69 by 47, also by .47. 11. What is the square root of 747.4756? 12. Give an example of a Continued Fraction. V. 1. Name all the Prime numbers in the series of numbers between 1 and 30 inclusive; resolve all the Composite numbers into their Prime Factors; and name all the perfect squares, cubes, and other powers in the same series. 4. Reduce 9 rds. 1 ft. and 6 in. to the fraction of a furlong. 5. Multiply 8.764 by 40.015. 6. What is the square of 11? of .11? 7. Divide 769.428 by 200; by .00002. 8. Transform the Infinite Decimal .216 into its equivalent Vulgar Fraction. 9. What quantity of boards will be required to lay a floor 14 ft. 8' 3" in length and 13 ft. 6′ 9′′ in width? (Multiplication of Duodecimals.) 10. Find the square root of 4.190209. 11. Find the interest on $76.72 from April 18, 1852, to January 26, 1855, at 6 per cent. 12. If $50 gain $5.60 in 3 yrs. 6 mos., at simple interest, what is the rate per cent ? 13. Give an example of a Continued Fraction. VI. 1. What are the Prime Factors of 360 ? 2. What part of a mile is one inch? 97 3. Reduce to a Simple Fraction. 4. Add § of a pound, of a shilling, and of a penny together. 5. What is the product of of of 15, and 1 of 115? 6. Divide 100 by 47. 7. What is the square of 10.01? |