5. The fence around the four sides of a square field measures 3.708 miles. What is the length in fur., rd., yd., and ft. of the fence on one side of the field?

6. A merchant buys 42 gallons of alcohol at $2.50 per gal., and keeps it for 3 years. He then finds that he has lost 7 gallons by leakage and evaporation. Estimating the value of money at 6 per cent per annum, how much per gallon must he charge, in order that he may realize a profit of 163 per cent on his outlay (including interest)?

7. At 621 per cu. yd., what will it cost to remove an embankment 240 ft. long, 38 ft. wide, and 9 ft. high?

8. What is the weight (in tons, cwt., etc.) of the water that fills a tank 4 ft. 10 in. long, 4 ft. 8 in. wide, and 5 ft. 4 in. deep, a cubic foot of water weighing 1,000 ounces?

9. What sum placed at interest at 8 per cent per annum will amount to $18,590 in 2 years 11 months and 27 days?

10. What is the difference between the interest and the true discount of $380, due in 2 years and 5 months, at 6%? (See Art. 1018.)

1027. Kansas City Public Schools. Examination Questions. Oral Problems.

1. By selling an article for $9.00, a man gained 25%. How many dollars would he have gained if he had sold the article at an advance of 50% over cost?

2. A man sold two cows for $30 each. On one he gained 25%; on the other he lost 25%. Did he gain or lose, and how much?

3. $12 is 4 per cent of A's and B's money. If A has twice as much as B, how much has each?

4. What is the interest of $60, for 5 years, at 6% ?

5. What is the amount of $300 for 8 years 10 months, at 6%?

6. What principal, in 3 years and 4 months, at 6%, will give $40 interest?

7. What is the present worth of $52, due 5 years hence, at six per cent? (Art. 1017.)

8. In what time will $50, at 6%, give $18 interest?

9. At what per cent will $12, in 3 yr. 4 mo., amount to $14? 10. If I buy an article for $75 and sell it for $50, what is my loss per cent?

1028. Massachusetts Civil Service. Clerks. General Examination. 1. Write in figures the following number:

Five million thirteen thousand six.

Write in words the number expressed by the following figures: 3,001,014.37

2. Add these across, placing the totals in the space indicated; then add the totals.

32,849 79,541 23,642 34,685 68,423 26,439 18,364 42,863 8,375 126,582 17,397 78,542 27,262 29,988 26,837 23,776 35,601

8,785

50,010 75,542 66,352 19,240 4,327 36,296

235,065 15,637 12,364 23,262 35,496 62,053

Totals.

3. What number must be added to the sum of 1, 7, and 11 to make 5,8?

89

4. A traveler walked 23 miles the first day, 34 miles more the second day than the first, and 31 miles more the third day than the second. How far did he walk in the three days?

5. Multiply 63.15 by 1.04; divide the product by 6.25, and subtract the quotient from 11.

6. If $21.63 be divided between two persons so that one shall receive one-third more than the other, how much will each receive?

7. How many bricks, 8 inches long and 4 inches wide, will be needed to make a sidewalk 26 feet long and 4 feet wide?

8. If it costs $10.24 to carry 1,500 lb. 356 miles, what will it cost to carry 2,700 lb. 890 miles?

9. If a post 11 feet in height casts a shadow 9 feet 2 inches long, what is the height of a house which casts a shadow 45 feet 10 inches long?

10. A house rents for $30 a month, and the owner pays $75 a year for taxes and repairs. What is the value of the house, if

his net profit is 5 per cent per annum?

11. A loaned B a sum of money at 4 per cent interest per At the end of 18 months, B paid the debt, principal and interest, in all $1,814.75. What was the sum borrowed?

annum.

12. Find the interest on $2,320, for 5 months and 21 days, at the rate of 7 per cent a year.

13. Find the interest on $640, from Sept. 3, 1888, to Oct. 30, 1889, at 6 per cent per annum.

14. At compound interest, what will $200 amount to, in 1 year and 3 months, at 6 per cent, interest compounded semiannually?

15. If a 5-months note for $760, dated March 13, is discounted at a bank May 23, the rate being 7 per cent a year, what will be the proceeds?

SQUARE ROOT.

1029. Squaring a number is multiplying the number by itself. The square of 8 = 8 x8 = 64.

1030. The square of a number is indicated by writing a small 2 a little to the right of the upper part of the number.

202 + 2(20 × 5) + 52 = 400+ 200+ 25 = 625.

1032. The square of the sum of two numbers is equal to the

square of the first

twice the product of the first by the second

the square of the second.

132 = (10+3)2 = 102+2(10 × 3)+32=?

18 (10+8)2 = 100+160+ 64 =?

=

1034. The square root of 4 is 2; of 9 is 3; of 16 is 4; of 25

is 5.

1035. Give the square root of 36. Of 64. Of 81. Of 121. Of 49. Of 100. Of 144.

1036. The sign of square root is √.

√81=9. √121=?

√25 = ?

49=?

1037. Find the square root of 169.

102 = 100. 202 = 400. The square root is between 10 and 20; it is, therefore, 10+ a second number.

20 x second + second2 = 69.

From this it appears that the second number is 3, since 20 × 3 + 32 = 69.

40 × 280, trial divisor) 516(6 second number)

480
36 = 62

Ans. 46.

1040. Instead of multiplying the trial divisor by the second number, and then ascertaining whether the remainder is the square of the second number, the second number is added to the trial divisor and this sum is multiplied by the second number.

40 (first number) 2,116

1,600

(2 × 40) + 6 = 86) 516(6 second number)

516

Ans. 46.