67. The product of three numbers is 228; one is 9 and another is 7. What is the third number?

69. Add & + 0.16 + 3 + 0.008+ one and one tenth + 4+ 10.05.

70. The sum of two numbers is 143; their difference is 174. Give the numbers.

71. Find the sum, difference, product, and quotient of 3 and 4. 72. Find the greatest common divisor and the least common multiple of 18, 48, 72, 66.

and

73. Change to a decimal fraction, multiply by 0.0998, a divide the product by 0.02.

75. If 30 pounds of tea cost $354, what cost 361 pounds? 76. Add,, and, and multiply their sum by 1.43.

77. What number multiplied by of itself will produce 12? 78. How many bricks, each 8 inches long and 4 inches wide, will be required to pave a sidewalk 10 rods long and 9 feet wide, allowing 4 inches in width for the edgestone?

79. How many days, hours, etc., in 87 % of a year?

80. On a certain railroad a freight train runs at an average rate of 17.6 feet a second, including stops; how many miles will it run in 24 hours?

81. In how many days will a ship, sailing 13 miles an hour, traverse a distance equal to the earth's circumference, 25000 miles?

82. One million bricks, each 8 in. long, 4 in. wide, and 2 in. thick, are piled in the form of a cube. How long is a side of the

pile?

83. What sum must I invest at 6%, to have an annual income of $1000 ?

84. Find the mean proportional between 0.00125 and 800. 85. A collector of the taxes of a town retains for collecting 21%, which is $739. How much does the town receive?

86. What per cent of an acre is a square yard?

87. A field in the form of a right-angled triangle, with the two short sides of equal length, contains two acres. What is the length of the longest side?

88. The fore wheel of a carriage is 10 feet, and the hind wheel 12 feet in circumference; how many times will each turn round in running from Boston to Worcester, 44 miles?

89. An Oswego coal-dealer bought (at wholesale), at a mine in Pennsylvania, 1540 (long) tons anthracite coal at $3.50 a ton. The freight to Oswego was $ 2040, and the loss in transportation was 30 (long) tons. The coal was retailed for $ 5.50 a (short)

90. Express 37817.8535 hours in years (of 365 days), days, hours, minutes, and seconds.

91. When gold was quoted at 127, how many gold dollars and how much fractional currency ought to be received for a tendollar bill?

92. The difference in time between the Worcester High School and Cambridge Observatory is 2 minutes 59 seconds. What is the difference in longitude?

93. If you travel till your watch is 55 minutes slow, how many degrees east, or west, have you gone, and in which direction?

94. C. Rollins bought 25 casks of oil, 125 gallons each, at 76 cents a gallon, and paid $ 15.96 for drayage. If there should be a waste of 3% in measuring, and 5% of the sales prove bad debts, and it should cost 2% of the remainder to collect it, for how much a gallon must I sell it to make a net profit of 30 % on the whole cost, no allowance being made for interest?

95. An importer sold cloth to a wholesale dealer at a profit of 10%. The wholesale dealer sold it to a retailer at a profit of 10% on the cost to himself. The retailer sold it at an advance of 20% on what it cost him. Now if the retailer sold it for $726, what did it cost the importer?

96. H invested a certain sum in flour and G invested twice as much. In selling, H lost 10 % and G gained 10 %. G received $260 more than H. How much did each invest?

97. Find three numbers each greater than 50, each not prime, that are mutually prime?

\98. The sum of two numbers is 214, and their difference is 73. What are the numbers?

99. Reduce,, 0.13, 1.7 to fractions having the common denominator 33.

100. One rod is 11 % of what distance?

101. What number multiplied by of itself will produce 27?

102. Find the square root of 49098049.

103. What number must be multiplied by may equal 1?

104. A and B together can build a wall in 4 days; A and C in 5 days; and B and C in 6 days. If the three build the wall together and receive $18.50 for the work, how ought the money to be divided?

105. The first newspaper despatch ever sent by a human voice over a wire was by Professor A. Graham Bell's Telephone, from Salem to Boston, Feb. 12, 1877. How long ago was that? State the answer in years, months, and days.

106. Find the balance due Sept. 30, 1879, on a note for $1475, dated June 3, 1878, on which was paid, Sept. 17, 1878, $200; Jan. 3, 1879, $300; Aug. 2, 1879, $400; interest at 6%.

107. Note dated Jan. 12, 1876, for $1500, interest at 6 %.

INDORSEMENTS: Oct. 24, 1876, $48; Jan. 10, 1877, $31; July 12, 1877, $150; Oct. 17, 1878, $75. What was due

June 18, 1879 ?

108. A note for $ 50, dated Jan. 1, 1879, is on interest at 6 % till April 15, 1879, when $ 25.87 is paid upon it. If the rest remains on interest till Jan. 1, 1880, what will then be due?

109. Memorandum: Nov. 29, 1876, gave a note for $1500, with 6% interest. June 13, 1878, paid $125; Oct. 25, 1878, paid $350; March 4, 1879, took up the note. How much was the last payment?

110. On the 1st of July James Merchant bought 750 barrels of flour for $6.50 a barrel, cash; on the 12th he paid 15 cents a barrel for freight. Aug. 1 he sold the flour for $7.20 a barrel,

payable, one half in cash, the other half by a 6 months' note. Aug. 18 he had the note discounted at a bank at 6%. How much did he make, allowing money to be worth 6 % ?

111. N. W. Beleher bought 100 barrels of flour at $6.50 a barrel, cash, and paid $0.50 a barrel for freight and other expenses; after keeping it 4 months he sold it for $7.50 a barrel, cash. Allowing money to be worth 6 %, how much did he gain, and what per cent?

112. H. M. Valentine gets a note for $800, payable in 90 days, discounted at a bank; when due he is unable to pay it, and gets it renewed for 90 days more. How much does the transaction cost him, money being worth 6 % ?

113. The capital stock of a certain bank is $ 200000, and the directors declare a dividend of 5 %. If the sum set aside to pay the dividend is subject to a tax of 3 %, what sum must be set aside that the directors may pay each stockholder 5% on his stock?

114. My agent sells for me 400 barrels of apples at $1.25 a barrel. If he discounts to the purchaser 5% for cash, and

charges me 2% commission on his cash receipts, how much does he pay over to me?

115. A merchant takes account of stock annually, and at the end of three years finds that he has lost 10 % each year, and now is worth $15000. What was his capital at first ?

116. If a broker sells goods that cost $10000 at a profit of 6%, and charges 5% on the amount received, as commission, how much does the owner of the goods receive as profit?

117. A merchant sells through a broker goods to the amount of $1343.78, and pays the broker a commission of 4% on that amount, after which he still has 4 % profit left. What did the

goods cost?

118. A and B can perform a piece of work in 5 days, B and C in 8 days, and A and C in 6 days; in what time can each of them do the work alone, and how long would it take them to perform the work together?

119. If 5 tons of coal are equivalent to 9 cords of wood as fuel, and a family burns 12 cords of wood in a year, how much will they save in a year by changing from wood to coal when wood sells at $4 a cord and coal at $6.50 a ton?

120. A merchant bought eggs at the rate of 4 for 5 cents and sold them at the rate of 4 for 7 cents, clearing $8. How many eggs did he buy?

121. A grocer bought a box of soap weighing 72 pounds at 7 cents a pound. Before he sold it, it lost of its weight. He sold it at 8 cents a pound. Did he make or lose? How much? 122. A man paid $500 for a horse, a carriage, and a harness. The horse cost more than the carriage, and 4 times as much as the harness. What did each cost?

of his estate to his wife, 4 of of what then remained to What was the value of

123. A gentleman bequeathed the remainder to his eldest son, and his daughter, who received $684.663. the estate?