Tuesday, June 13, 1911-9:15 a.m. to 12:15 p.m., only. Answer question I and nine other questions. No credit will be allowed unless all operations (except mental ones) necessary to find results are given; simply indicating the operations is not sufficient. Reduce each result to its simplest form. 1. See introductory note, page 194. 2. Define five of the following: factor, prime factor, denominate number, proper fraction, trapezoid, bank discount. 3. a. Express in figures one million one thousand fiftysix and four hundred twenty-five hundred-thou sandths. b. Express 1911 in Roman notation. 4. a. From 963 b. subtract 7834 Multiply 7534 c. Divide 225 by 1834 by 25 d. Divide 2534 by 16% 5. The cost of food purchased for 12 hens for the six months from April 1 to October 1 was $1.48 per month; during that entire period the owner collected on an average 7 eggs a day; these eggs were sold at 241⁄2 cents per dozen. Allowing 30 days to the month, how much money was gained by keeping the hens? 6. a. Write the table of (1) time measure, (2) liquid measure. b. If a cubic yard of earth weighs 27871⁄2 lb. how many tons will 10 cubic yards and 18 cubic feet of earth weigh? 7. At 21 cents a sq. yd. what will be the cost of painting the walls of a kitchen 15 ft. long by 12 ft. wide by 9 ft. 4 in. high? 8. Find the simple interest at 5% on a note for $5375 dated Sept. 15, 1905 and payable June 12, 1911. 9. A grocer bought 625 dozen pound packages of a certain food for $900, less 16%% discount; he sold each package for 16 cents. How much did he gain in all? 10. a. The triangular gable of a house has a base 13 ft. and an altitude 101⁄2 ft.; find the area of the triangle. b. Compute the cost of fencing a field 58 rd. 121⁄2 ft. long and 39 rd. wide, if the fence costs $3.25 per rd. 11. a. In a certain quantity of milk the ratio of the cream to the rest of the milk is as 2 to 9; how many pounds of cream are there in 253 pounds of the milk? b. The inside dimensions of a car are 36 ft. by 8 ft. by 4 ft.; find the cost of a car load of oats at 31 cents per bu. 12. Make out and receipt a bill for the following: Ford Travis bought of Welch & Co. 41 lb. of butter at 38 cents a lb.; 3 bu. of potatoes at 87 cents a bu.; 12 bars of soap at 64 cents a bar; 34 lb. of prunes at 20 cents a lb. Tuesday, January 16, 1912–9:15 a.m. to 12:15 p.m., only. Answer question I and nine other questions. No credit will be allowed unless all operations (except mental ones) necessary to find results are given; simply indicating the operations is not sufficient. Reduce each result to its simplest form and mark each answer Ans. 1. See introductory note, page 194. 2. Write in words each of the following: (a) 90,909, (b) 125.00036, (c) 1492449, (d) 500,000,000, (e) XCIV. 3. A farmer sold 200 bushels of potatoes at 75 cents a bushel, 10 dozen eggs at 24 cents a dozen and 40 pounds of butter at 30 cents a pound; he invested. % of the proceeds in coal and deposited the balance in the bank. How much money did he deposit? 4. a. Reduce to its lowest terms. b. Express .625 and .0625 as common fractions in their lowest terms. 5. Perform each of the following operations: a. 7X5% b. 1934 c. 58 X 3 d. 55% 6. Find the cost, at $25 per thousand, of 100 boards, each 18 ft. long, 8 in. wide and 1⁄2 in. thick. 7. A dealer bought 300 tons of ice for $750; he sold the ice at the rate of 25 cents per hundred pounds. Find (a) how much he gained, (b) what per cent he gained. 8. Charles Jones bought of the George N. Johnson Company an automobile for $4000; he paid $2500 in cash and for the balance gave a promissory note for 3 months, with interest at 5%. Write the note, dating it January 15, 1912. 9. Find, at date of maturity, the interest at 6% on a note for $375, dated June 15, 1907 and payable September 27, 1912. 10. Richard, James and Henry formed a partnership to sell fruit; Richard invested $48, James $60 and Henry $72. If they gained $60 the first week what was each partner's share of the profit? 11. Extract the square root of 44,521. 12. A man purchased a house for $5000; the first year the expense for repairs was $45, for taxes $75, for insurance $10. If the house was rented for $40 a month what per cent did he gain on his investment that year? Tuesday, June 18, 1912-9:15 a.m. to 12:15 p.m., only. Answer question I and nine other questions. No credit will be allowed unless all operations (except mental ones) necessary to find results are given; simply indicating the operations is not sufficient. Reduce each result to its simplest form and mark each answer Ans. 1. See introductory note, page 194. 2. Define (a) dividend, (b) divisor. Write the following tables: (a) square measure, (b) avoirdupois weight, (c) dry measure. 3. Perform each of the following operations: a. 196%-167% b. 1400 16% c. 125-25.0125 d. 95.5 X 8.4 [Two credits will be given for each correct answer.] 4. A lady made purchases as follows: 5 pecks potatoes at $.35 per peck; 1⁄2 dozen eggs at $.38 per dozen; 21⁄2 lb. meat at $.18 per lb.; 2 dozen oranges at $.30 per dozen. She gave a five dollar bill in payment. What change should she receive? 5. If three men can do a piece of work in 9 days, how long will it take 10 men to do the same work? 6. Divide the product of 24 X 18 × 36 × 17 × 57 by 12 X 34 × 19 × 54 X 9 [Solve by cancelation.] 7. Find the total cost of the following loads of coal at $6.25 per ton: 3849 lb., 2935 lb., 4832 lb., 2364 lb., 2837 lb., 4378 lb., 1352 lb. 8. Find the area of a circle whose circumference is 50.2656 feet. 9. The shorter side of a rectangular field is 30 rd., the diagonal is 50 rd.; find in acres the area of the field. 10. A man bought a horse for $175 and sold it for $210; what was his per cent of gain in this transaction? 11. How much interest, at 6%, is due today, June 18, 1912, on a note for $250, given June 15, 1910? 12. What per cent is realized from an investment of 6% stock at 119%, brokerage %%? Tuesday, January 21, 1913-9:15 a.m. to 12:15 p.m., only Answer question 1 and nine other questions. No credit will be allowed unless all operations (except mental ones) necessary to find results are given; simply indicating the operations is not sufficient. Reduce each result to its simplest form. 1. See introductory note, page 194. 2. Solve a. 12% +334 +245 + 4% b. 18320-35% c. 63% X% [21⁄2 credits will be allowed for each correct result.] 3. Define product, factor, quotient, prime number, interest. 4. a. Write in words 4006.6071, 5000.0005, .060042 b. Divide .87 by 870 c. Multiply .145 by 14.5 5. At 11 cents per square foot, find the cost of laying a concrete walk 5 feet wide, along the front and along one side of a corner lot 80 feet long by 60 feet wide. Represent the lot and the walk by a diagram. 6. A cylindric tank is 7 feet in diameter and 10 feet high; how many gallons does it hold? [One gal. = 231 cu in.] 7. A commercial traveler receives a salary of $30 per week and in addition a 3% commission on his sales; if his sales amount to $6000 per month, how much is his income per month? [Assume that there are four weeks in one month.] 8. A 60 day note for $2450, dated December 10, 1912, with interest at 6%, was discounted January 9, 1913 at 6%; find the discount. 9. A farmer desired to grind together oats and barley at the ratio of 3 bushels of oats to 2 bushels of barley; he had 64 bushels of barley. What was the quantity of oats required? [Solve by proportion.] 10. The foot of a 37 foot ladder is 12 feet from the wall of a building against which the top of the ladder rests; if the building stands on level ground, how high does the ladder reach on the wall? 11. A man bought a house and lot for $6835. He repaired the house at a cost of $1250. The house was burned and he received $3575 insurance. He then sold the lot for $4516. Did he gain or lose and how much? 12. The distance around a rectangular field is 192 rods; if the field is 56 rods long, how many acres does it contain? Tuesday, June 17, 1913-9:15 a.m. to 12:15 p.m., only. Answer 10 questions. No credit will be allowed unless all operations (except mental ones) necessary to find results are given; simply indicating the operations is not sufficient. Reduce each result to its simplest form and mark each answer Ans. Questions 2 and 4 are given to test the accuracy of the pupil. No credit, therefore, will be allowed if the results are not correct. 1. See introductory note, page 194. c. 6% X 41% Solve by cancelation 24X36X144×96÷12×18×48×84 [2 credits will be allowed for each correct result.] 3. Write in words (a) 1325, (b)153926, (c) 201.293 Subtract 10 from .1. Multiply 10 by .3. 4. Change these per cents to equivalent common fractions in their simplest forms, showing all the work: 6%, 3%%, 120%, 2%, .2%. [2 credits will be allowed for each correct result.] 5. The standing of a seventh grade pupil in arithmetic was as follows: Sept. 89%, Oct. 85%, Nov. 91%, Dec. 85%, Jan. 96%, Feb. 87%, Mar. 89%, Apr. 97%, May 96%, June 88%; what was his average standing for the year? 6. Find the compound interest on $420 for 2 years at 4%, if the interest is compounded semiannually. 7. One side of a square field is 40 rods long; how many acres are there in this field? What will it cost to fence it at 70 cents a rod? 8. A note for $500, without interest, is payable in 90 days; on the day the note is made it is discounted at a bank at 6%. Find the proceeds. 9. A family use 23 pounds of butter a week for a month of 30 days; at 35 cents a pound, how much will the butter cost? 10. Make a receipted bill for the following: C. A. Bryant bought of Harris, Smith & Co., Troy, N. Y., 37 bu. of oats at $.40; 50 bu. of corn at $.672; 76 bu. of wheat at $1.044; 75 bu. of rye at $1.04; 95 bu. of beans at $4.00; 16 bu. of potatoes at $.95. [Date the bill today.] |