(80.) Divide the sum of 472 and 389 by 7; and divide the difference between 812 and 404 by 12. Multiplication when the Multiplier contains a Fraction : (1.) 2581463 x 43. (7.) 825914 x 13%. (2.) 6845182 x 74. (8.) 370687 x 120% (3.) 5428476 x 9. (9.) 495829 x 84141 (4.) 7580423 8.5. (10.) 610584 x 4200}}. (5.) 4728469 x 6%. (11.) 273815 x 200015. (6.) 3140278 x 55. (12.) 942866 x 86410%. Division when the Divisor contains a Fraction : (1.) 718425 = 27. (7.) 2386475 • 11%. (2.) 480236 : 45. (8.) 3158002 - 12. (3.) 184912 : 63. (9.) 8701427 = 2511 (4.) 568407 = 7. (10.) 9485623 · 6011. (5.) 291409 ; 94. (11.) 4215687 = 230 % (6.) 664375 · 85. (12.) 1057362 = 100120 MISCELLANEOUS EXERCISES. (1.) A person spends 5 shillings in one shop, 13 in another, 24 in a third, and has 19 shillings over. How much had he at first ? (2.) The length of the Missouri, from its source to the Mississippi, is three thousand and ninety-six miles, and from its source to the Gulf of Mexico four thousand five hundred and six miles ; how many miles are there between the junction of the two rivers and the Gulf of Mexico ? (3.) If a common clock strikes 156 times in a day, how often does it strike in leap-year? (Leap-year has 366 days.) (4.) How often will a wheel whose rim measures 11 feet turn in a mile, which contains 5280 feet? (5.) How many half-guineas are there in twenty guineas and a half ? (6.) How many more legs have 5 horses and 12 dogs than 10 hens and 24 ducks? mons. (7.) Between the years 1710 and 1760 the population of Liverpool increased from 8160 to 25780 ; between the years 1760 and 1800 it advanced from 25780 to 77700. Find the difference of the increase in the two cases. (8.) A certain sum of money is to be divided among A, B, C, and D. A gets twice as much as B, B thrice as much as C, and C four times as much as D, whose share is £17. Find the sum of money. (9.) Multiply the sum of 956 and 748 by their difference, and divide the product by 52. (10.) How often may 239 be subtracted from 4302 ? (11.) If the product of two numbers is 329406, and one of the numbers is 713, what is the other? (12.) If the subtrahend is 35684, and the difference 1907, what is the minuend ? (13.) There are 658 members in the House of Com Supposing the Liberals to outnumber the Conservatives by 100, how many are Liberals, and how many Conservatives ? (14.) Mont Blanc is 15781 feet high, and Arthur's Seat, near Edinburgh, is 822 feet high ; how many hills of the height of the latter would require to be piled on the top of one another to overtop the former? (15.) A person bequeaths £18965 to his family, consisting of à son and four daughters ; he gives to each of his daughters £3125, and the remainder to his son. Find how much the son's portion exceeds a daughter's. (16.) A man with an income of £1200 a year wishes to save £105; how much may he spend per day? (17.) The first number of Macmillan's Magazine, which appears monthly, came out in November 1859; how many numbers have appeared at May 1869 ? (18.) Of the 658 members of the British House of Commons, 60_belong to Scotland, 100 to Ireland, and the rest to England and Wales; how many members have England and Wales more than Scotland and Ireland together? (19.) The hundred and nineteenth Psalm consists of as many sections as there are letters in the Hebrew alphabet. Each section consists of 8 verses, and there are 176 verses in the Psalm ; find the number of letters in the Hebrew alphabet. (20.) How many feet are there in the circumference of the earth, which measures 24856 miles ? (A mile contains 5280 feet.) (21.) The pages of a book, consisting of 9 volumes, are double-columned; find the number of columns in the whole book, if each volume contains 823 pages. (22.) For the third reading of Mr Gladstone's Irish Church Bill there was a majority of 114, and there voted against it 247; how many members voted altogether? (23.) The first chapter of Malachi contains fourteen verses; the second chapter contains three verses more than the first; the third chapter one verse more than the second; and the fourth chapter one-third of the number in the third chapter. Find how many verses Malachi contains. (24.) 3856 divided by a certain number gives a quotient of 142 with remainder 22; find the dividing number. (25.) A certain number divided by 34 gives a quotient of 233 with remainder 3; find the divided number. (26.) By how much must eighty-seven thousand five hundred and thirty-two be increased so that it may equal ninety thousand ? (27.) What number multiplied by 52 will produce the same result as 338 multiplied by 176? (28.) A man who walks at the rate of 37 miles an hour has to walk 35 miles. If he start at 7 o'clock in the morning, and allow himself an hour at mid-day for refreshment, at what time will he arrive at his journey's end ? (29.) From the sum of 739 and 8465 subtract 2486 ; multiply the remainder by 22, and divide the product by 73 (30.) How many days are there in 20 years, leap-year occurring once every 4 years ? (31.) If the sum of two numbers is 1420, and the greater is 962, find the difference of the numbers. (32.) One-half of fifty added to one-third of ninety will give the fourth part of a certain number. Required the number. (33.) How much greater is 735 multiplied by 8 than 608 multiplied by 7? (34.) In one year there died 7632 of the inhabitants of a town, being one death in every forty-five of the population. How many inhabitants did the town contain ? (35.) Divide the product of the sum and difference of 96 and 84 by 28. (36.) British India comprises an area of 1004616 square miles, with a population of 150767851; how many inhabitants is that to a square mile ? (37.) England was governed by the House of Plantagenet from 1154 to 1399; by the House of Tudor, from 1485 to 1603; by the House of Stuart, from 1603 to 1649, and from 1660 to 1714. Find the length of the reign of each of these Houses, and the difference between the longest and shortest reigns. (38.) A farmer buys 23 oxen at £13 each, and 8? scores of sheep at £2 each; what did they cost him ? (39.) The House of Peers at present consists of 4 princes of the blood, 2 archbishops, 21 dukes, 17 marquises, 109 earls, 22 viscounts, 24 bishops, 219 barons, 16 Scottish representative peers, 28 Irish representative peers, and Irish spiritual peers. What is the number of its members ? (40.) Previous to the New Reform Act the members of the House of Commons were thus distributed : England and Wales, 162 for counties, 334 for boroughs, and 4 for universities. Scotland, 30 for counties, 23 for boroughs. Ireland, 64 for counties, 39 for boroughs, and 2 for universities. Find the number of members possessed by each country, and the whole number of members in the House. Edinburgh: |