(16.) 64006 46119 (17.) 896764 (18.) 149684 (19.) 168010 698916 (21.) 47698435 (23.) 61409835 61391469 (22.) 91019010 674596737. (24) 967458324 39616 99191 (27) 901010101 - 123456789. (28.) 999888777 888989878. 506504302. (29.) 605403201 (30.) 618390600 (31.) 694897 685499768 - 894. (32) 987654321 123456789 12345678 1234567 (39) 13 + 79 — (64 · 3549)+(69 54) ― - 29. 765) (41.) From seven thousand eight hundred and ninetyseven, subtract four thousand six hundred and sixtythree. (42.) From sixty-five thousand one hundred and forty seven, subtract forty-three thousand five hundred and twenty-three. (43) From forty-two thousand five hundred and seventy, take thirty-six thousand seven hundred and seventy-one. (44) What is the remainder when two thousand six hundred and forty-seven is subtracted from thirty-nine thousand five hundred and one? (45.) What is the difference between six hundred and forty-five thousand and nine hundred and seventy-five? (46.) What is the difference between six hundred and forty-three thousand five hundred and seventy-four and three hundred and seventy-nine thousand eight hundred and seventy-nine? (47.) What is the excess of eight hundred and sixty-four thousand four hundred and forty over six hundred and eighty-nine thousand three hundred and ninety-nine? (48.) How much greater is one million two hundred and sixty-nine thousand five hundred and seventy-five than one million one hundred and seventy-two thousand five hundred and seventy-eight? (49.) How much less is five millions eight hundred thousand nine-hundred and seventy-eight than eight millions six hundred and nine thousand five hundred? (50.) Whether is two millions five hundred and sixty thousand two hundred and twenty-one greater or less than two millions five hundred and six thousand nine hundred and ninety-eight? and by how much? (51.) What number must be subtracted from eight millions five hundred and forty-five thousand six hundred and eighty-one to leave nine hundred and seventy-six thousand four hundred and nineteen? (52.) What number must be added to six hundred and forty-five thousand three hundred and seventy-five to make one million and one? (53) The greater of two numbers is two millions five hundred and five thousand four hundred and four, and their difference is one million ninety thousand and eighty. Find the less. (54.) The sum of two numbers is five millions, and the less is one million six hundred and five thousand four hundred and nine. Find the greater. (55.) The sum of two numbers is four millions four thousand and four, and the greater is three millions forty thousand and forty. Find the less. (56.) How many times is six hundred and eighty-nine thousand five hundred and forty-seven contained in four millions one hundred and thirty-seven thousand two hundred and eighty-two? (57.) What is the remainder when eighty-four millions five hundred and sixty-nine thousand four hundred and fifty-three is subtracted as often as possible from three hundred and thirty-eight millions three hundred and seventy-seven thousand eight hundred and thirteen ? (58.) Subtract 4 hundred from 13 hundred. (59.) Subtract 649 thousand from 960 thousand. (60.) Take 999 billions from 1000 billions. (61.) If the difference between two numbers be 13 and 500 be added to each number, what will their difference be then? IX. (1.) From 3 gross, 5 dozen, 2 score and nine, subtract 2 gross, 6 dozen, 3 score and 11. (2.) How many years elapsed between the accession of George I. in 1713 and that of Queen Victoria in 1837 ? (3.) Two travellers set out on a journey at the same time from the same place. The first day A travelled 106 miles by rail and walked 16; the second day he rode 29 miles and sailed 9. The first day B drove 31 miles, and the second day travelled 99 miles by rail. How many miles were they apart at the end of the second day? (4.) Kepler was born in 1571 and Galileo was 7 years older than he. In what year was Galileo born? (5.) A merchant commenced business with a capital of £2500. The first year his losses amounted to £695 and his gross gains to £749. The second year he gained £947 and lost £348. The third year he lost £219 and gained £875. His average expenses were £250 per aunum. What was his capital at the end of the third year, and how much had he gained after deducting losses and expenses? (6.) A carriage and two horses cost £165; each horse cost £49. What was the price of the carriage? (7.) In one box there are 976 oranges, and in another 842. If 436 be sold out the first box and 349 out of the second, and then 98 be put out of the first into the second, and 69 out of the second into the first, how many oranges will then be in each box, and how many more in the one than in the other? (8.) John had just as many nuts more than James as James had more than Robert. Now Robert had 2 score and 9, and James had 5 dozen and 8. How many had John? (9.) If 5 yds. of cloth cost 85s., and 4 yds. cost 68s., what is the price of 3 yds. ? (10.) Three merchants possess among them £1748. A and B have £13896, B and C have £8974. much has each of them? VULGAR FRACTIONS—continued. 8 X. 5 (1)(ans. ), is-1, 1-6-% - 139 17 —— 76 (2.), 1-1, 1-1, 4-19, 118-258. (3.) 96 (ans. 32), 11-93, 16-13. (6.) 136-12811, 645 — 637, 721 — 695. (7.) 971—311, 101-991, 204,7 — 10811. उ 6 How (11.) 2+2 +12-12, 67 +44-54+ (ans. 54). 12 ΤΣ (12.) 2} +34 - 18 — 23, 24 + 33 — 14 — 3. (13) John received of a sovereign from his uncle and spent of a sovereign. He then received of a sovereign from his aunt and spent of a sovereign. What part of a sovereign has he left? (14.) of a pole was in the sand, in the water. How much of it was above the water? (15.) John ate of his nuts, gave away of them, and lost of them. What part of the whole number had he left? Sign X. MULTIPLICATION. Terms to be explained :-Multiplication, multiplicand, multiplier, factors, product. MENTAL EXERCISES. a 24 × 2, 36 × 2, 25 × 3, 18 x 4, &c. 40, 32 × 50, &c. 18, 13 x 19, &c. b 13 × 20, 24 × 30, 19 x g To multiply any number by 25: affix two ciphers and Multiply 19, 21, 39, &c., by 25. by 125: affix three ciphers and Multiply 29, 37, &c., by 125. h To multiply any number of two figures by 11: between the figures place the sum of the figures-thus, 63 × 11 = 693, 74 x 11 = 814. |