MEASURING WALL SURFACES

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1. The scale of this drawing is " 1'. Make a drawing like this, using " for 1'. Cut it out and fold it on the dotted lines, making the model of a room.

Find an empty pasteboard box. Invert it,

to represent a room.

Cut open one corner

seam, and three seams around the bottom.

Then open it like this diagram.

2. What is the entire length of the end and side walls? What is the height?

3. How many square feet are there in all the walls? 4. How many square feet are there in the ceiling?

5. How many square feet are there in the walls and ceiling together?

6. How many square yards are there in all?

7. What will it cost to lath and plaster this room at 35¢ a square yard, taking out 55 sq. yd. for openings?

8. (a) What will it cost to lath and plaster a room 15' by 18' and 9' high at $.30 a square yard, allowing 10 sq. yd. for doors and windows? (b) What will it cost at $.28 a square yard, making no allowances?

9. Measure your schoolroom to the nearest foot, and estimate the cost of lathing and plastering it at 50¢ a square yard. Allow 3 sq. yd. for each door and window.

10. Estimate the cost of plastering other rooms in your school building and in your own house.

REVIEW AND PRACTICE

Oral

1. How many oranges will 50 cents buy at the rate of 3 for 10 cents?

2. of 18 is what part of 72?

What per cent of 72? 3. What will 15 bu. of potatoes cost if 7 bu. cost $64? (15 is how many times 7?)

4. At $15 a dozen, what will 84 chairs cost? (84 are how many dozen?)

5. 9 months are what part of a year?

6. I bought a peck of chestnuts for $1.60 and sold them at 10 cents a half pint. How much did I gain? What per cent of the cost did I gain?

7. 25 is what part of 75?

8. Multiply 7.635 by 10;

What per cent of 75?

by 1000; by 100.

9. Divide 5.8 by 10; by 100; by 1000.

10. 36 lb. of coffee for $9 is at the rate of 12 lb. for how much? (12 lb. are what part of 36 lb. ?)

11. A wagon was sold for $60, which was What was the cost? How much was lost? of the cost was lost?

of the cost. What per cent

12. How much does Andrew make on 40 papers when he buys them at the rate of 4 for 3¢ and sells them at 2¢ apiece? (40 is how many times 4?)

13. What part of is

14

?

is what part of?

14. Find 20% of 300; 33% of 72; 16% of 60.

15. Sugar at $140 a ton is how much a pound?

16. A house was damaged $500 by fire. This was 10% of the cost. What was the cost?

17. 87% of the cost of Glen's bicycle was $28. What was the whole cost?

18. If 9 eggs cost 27 cents, what will 2 doz. cost?

Written

1. What will it cost to paint a ceiling 24 ft. long and. 16 ft. wide, at 25 cents a square yard?

2. What is the length of one side of a square garden whose perimeter is 632 feet?

3. What will it cost at 65 cents a square yard to cover with matting a floor 21 ft. long and 15 ft. wide?

4. There are 5280 ft. in a mile. (a) If steel rails are 30 ft. long, how many are needed for 8 miles of street railroad track? (b) How many tons do they weigh if each foot weighs 90 lb.?

5. At the rate of 660 feet a minute, how many miles will a street car run in two hours? (Indicate and cancel.)

6. What is the cost, at $1.80 per rod, of a fence inclosing a rectangular field 50 rd. by 34 rd.?

7. Draw a line to represent 13 miles, letting the scale. be 1" to 80 rd.

8. Draw a rectangular building lot 4 rd. by 8 rd., and put on the lot a house 44 ft. by 33 ft. and a barn 22 ft. square, using as a scale 1" to 22'.

9. Three barrels of extract of witch hazel are put up in pint bottles and sold for 20¢ a bottle. What is received for all of it?

10. A grocer bought 40 bbl. of cider at $3.50 a barrel, made it into vinegar, and sold it at 8¢ a quart. (a) How much did he gain? (b) What per cent of the cost did he gain?

11. Divide in the shortest way the product of 36, 40, 144, 8, and 160 by the product of 18, 272, and 6.

12. Mr. C. J. Hogan has laid for Mr. Henry Sumner a piece of Portland cement walk 50 ft. long and 5 ft. wide at 12¢ a square foot. Make out the bill and receipt it.

13. This walk is made of sawed Ohio sandstone. Find its cost at 21¢ per square foot.

14. A man owned & of a mine and sold of his inter

est for $1710. What was the whole mine worth at the same rate? (STATEMENT OF THE PROBLEMS: of of (s. p.) = $1710.)

15. A teamster mixed 600 lb. of wheat bran with a ton of corn meal with which to

feed his horses. (a) What per cent of the mixture was bran? (b) What per cent was corn meal?

16. The population of a city to-day is 130,000, which is 125% of what it was 10 years ago. What can you find? Find it.

17. Divide: (a) 8.8 by .0008; (b) 20.005 by .005.

18. Divide the sum of two thousand and two thousandths by two hundredths.

19. How many times will a bicycle wheel rotate in going a mile if the wheel is 7.2 ft. in circumference?

20. The product of two numbers is 12.46, and one of the numbers is 24.92. Find the other number.

Reduce to common fractions in lowest terms:

PROBLEMS IN PERCENTAGE

1. A hardware merchant bought a bill of goods for $560 and marked them to be sold at a price which was 140% of the cost. (a) At what price did he mark the goods? (b) He sold the goods for 90% of the marked price. What did he receive for them?

2. A jobber bought 2000 wheelbarrows at $2.25 apiece, marked them at 115% of their cost, and sold them for 95% of the marked price. What did he receive for them?

3. During a storm 1000 bbl. of sugar, or 81% of the cargo of a ship, were thrown overboard. How many barrels formed the cargo?

4. Make and solve a problem about $420 and 35%. 5. Mr. Fish paid city taxes to the amount of $280, which was 15% of the value of his property. How much was his property worth?

6. A load of boards weighing 3500 lb. was put into a kiln and dried. When taken out, the boards weighed 1 tons. What per cent of the weight of the boards at first was water?

7. (a) Write a problem in percentage in which factors are given to find a product. (b) Write another in which one of the factors is to be found.

8. If a pint of cream is used in making two gallons of ice cream, what per cent of the ice cream consists of other things than cream?

9. (a) If a pine plank weighs 45 lb. and an oak plank of the same size weighs 72 lb., the weight of the pine is what per cent of the weight of the oak? (b) The weight of the oak is what per cent of the weight of the pine?

10. A grocer bought 100 lb. of soda for $3.50 and sold it for 142% of its cost. What did he receive a pound for it?