8. What is the product of .50 cents multiplied by .50 cents? Ans. .25 cents. 9. What is the difference between three times thirty-three, and three times three and thirty? Ans. 60. 10. There is a certain number which, being divided by 7, the quo tient resulting multiplied by 3, that product divided by 5, from this quotient 20 being subtracted, and 30 added to the remainder, the half of this sum will be 35; what is the number? 11. What part of 3 pence is equal to 3 of 2 pence? 12. What part of 64 cents is equal to 3 of 123 cents? Ans. 700. Ans. Ans. 13. The hour and minute hands of a clock or watch are exactly together at 12 o'clock; when will they be together between 1 and 2, between 2 and 3, and between 3 and 4 o'clock, &c. N. B. the velocities of the two hands of a clock or watch are to each other as 12 is to 1; therefore, the difference of their velocities is 12-1=11. h. m. sec. 1 5 273 2 10 54 3 16 21 Answer. 11: 12 :: 5 5 27 16 4 Now observe, they will be together at 5m. 27rsec. after 1 o'clock, and at 10m. 54 sec. after 2 o'clock, &c. 14. A cubical foot of brass is to be drawn into a wire of of an inch in diameter; what will be the length of the wire, allowing no loss in the metal? Ans. 55 miles 984yds. 1ft. 8in. +.46. 15. A young gentleman making his addresses in a lady's family who had five daughters, she told him that their father had made a very curious will, which imported that the first four of the girls' fortunes were together to make 50,000£; the last four 66,000£; the three last with the first 60,000£; the three first with the last 56,000£, and the two first with the two last 64,000£, which, if he would unravel and make it appear what each one was to have as he appeared to have a partiality for Harriet, her third daughter, he should be welcome to her; pray what was Miss Harriet's fortune? Ans. 10,000£. 16. In a certain school of the scholars learn geometry; 3 learn grammar, learn arithmetic, learn to write, and 9 learn to read; how many scholars were in the said school, and.how many were in each class? Ans. 5 geometricians, 30 grammarians, 24 arithmeticians, 12 writers, and 9 readers-whole number of scholars 80. 20 17. If A can do a piece of work alone in 7 days, and B in 12 days, set them both about it together, in what time will they finish it? Ans. 4. 18. A and B together can build a boat in 20 days, with the assistance of C they can do it în 12 days; in what time can C do it by himself? Ans. 30 days. |