Questions and Exercises in Elementary Mathematics

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 edition. Excerpt: ...and the L. C. M. of 14, 36, 84, 108, 144. 3-Simplify g _m+6_Jf and---4. Extract the square root of 1706-5161. 5. If with a capital of 500/. a tradesman gain 50/. in 7 months, in what time will he gain 60L 1os. with a capital of 385/.? 6. A certain 41 per cent. stock is issued at a discount of 23 per cent.; what income should I get from 385/. invested in it? 7. If the number of third class passengers is to the number of first and second class together as 7: 2, and the number of second class passengers is to the number of first class as 5: 3, what fraction of the whole number of passengers will the first class amount to? 8. Find the cost of papering the walls of a room 10 ft. 8 in. wide, 19 ft. 4 in. long, and g ft. high, with paper 2 ft. wide, at 2d. a yard. 9. If 1 inch of rain on 4840 yards gives 18200 gallons of water, how many gallons will '875 of an inch on a square mile give? 10. If the amount of property liable to income tax be 525 millions, at what rate per pound must the tax be taken to produce iJ millions? XXV. 1. The circumferences of two of the wheels of an engine being 25-feet and 6 feet respectively, how many more times will one turn round than the other in miles? 2. If the shadow of an upright pole 3 yards high be 2 yards long, what will be the height of a church spire which casts a shadow 82 yards long? 3. Reduce to simplest forms A of 5+4 of-i01--8J 3042 allu 21-1--L1-'fii 2-L 4. Reduce- of 2f of f of 12/. icw. id. to the fraction of 32/. 3J. 6/.; and 13J. 4. to the decimal of 5/. 5. Find the value of 375 of half-a-crown + 44 of a guinea + 1 "024 of 22/. 6. Find the length in yards of the side of a square enclosure which contains 4 acres 3 roods 24 poles. 7. What is the difference between the simple and...