make the line which represents the width? Will he make the angles in the drawing right angles as they are in the floor?

A drawing made like this is said to be drawn to scale. That means that all the angles are

just like those in the
building to be
be con-
structed, but a smaller
unit is used for the
lines. The drawing is
a graph in which the
ratio of the lines is the
same as in the proposed
building.

Are the maps in a geography drawn to scale? Open your geography at the map of your state and see if it tells you

what scale is used. Suppose that it says that the scale is 100 miles to the inch, what does that mean? On that map a distance of inch would represent how many miles?

Drawing to Scale on Squared Paper

1. Jack Wood drew on squared paper a plan of his schoolroom floor, letting one inch represent 5 feet. Try it for your room. Locate the door, the windows, and the teacher's desk.

2. If possible, obtain a map of your village or city. Draw to scale a map of your immediate section on a scale four times as large as this map.

3. Copy the map on page 84, using a scale of two to one.

4. Construct on your squared paper four right angles, using a scale of inch to 1 foot.

(a) If one side is 3 feet and another side is 4 feet.
(b) If one side is 6 feet and another side is 8 feet.
(c) If one side is 12 feet and the other side is 16 feet.
(d) If one side is 11⁄2 feet and the other side is 2 feet.

5. Mr. Henderson took Ethel on an auto trip through Missouri, Oklahoma, and Texas. He used an automobile map printed to a scale of 28 miles to the inch. How many miles would each of the following distances represent: 4 inches? 6 inches? 21 inches? 8 inches? 6 inches? 10 inches? 15 inches?

6. About how many miles would † inch represent ?

7. If you started out on an automobile trip and used the map in problem 5 as your guide, how many inches of the map would you measure to make a first day's trip of 180 miles? If you averaged 22 miles an hour, how many hours would you require for the trip?

8. On a certain map of Rhode Island the map-maker used a scale of 10 miles to the inch. If the greatest length of the state is 48 miles and the greatest width is 37 miles, how many large squares and how many small squares would you use on your squared paper to represent each of the above distances? How many miles would 2 large squares and 2 small squares together represent?

9. With the same scale as given in example 8, how many miles would 6 inches represent? 8 inches? 24 inches? 4 inches?

10. Draw on your squared paper two parallel lines of an inch apart to represent 800 miles and 400 miles, if 1 inch is to represent 200 miles. If you were to draw these lines

at a scale inch for 200 miles, how long would each line be? Draw them.

11. Draw on your squared paper two parallel lines to represent 6 million and 4 million people if 1 inch is to represent 2 million people.

12. Draw on the squared paper two parallel lines to represent the weekly wages of two girls receiving $15 and $20 respectively, if 1 inch is to represent $5.

REVIEW TRIAL OF I. R. B. TESTS, CHAPTER III

Take the third trial of the three tests of Chapter III. On the chart where you entered the First Trial and End-ofChapter scores, record your new scores in the Review Trial Column. Keep trying the tests until you make new scores worthy of yourself and of your Improvement Record. Read once more the directions given in the Review Trial of Chapter II.

If you wish to add a new feature to your I. R. B., enter some of the italicized words of this fourth chapter and give your own definitions of the terms. Turn back through the pages of this chapter to find the terms; for example: geometry, straight line, line segment, broken line, curved line, circle, radius, chord, diameter, angle, vertex, right angle, perpendicular, straight angle, acute angle, obtuse angle, complementary and supplementary angles, parallel lines, etc. You will find other italicized terms which you may want to add to your I. R. B. record.

2. How do you prove your work in subtraction? In

addition? In multiplication? In division?

3. If you were told the weight of six cows, how could you find their average weight?

4. If you were given the total sales of 5 clerks in a store for one week, how could you find their average sales for the week?

5. If the divisor is 6, the quotient is 8, and the remainder is 21, how would you find the dividend? What is it?

6. Mr. Brown earned on an average $4.75 a day for a month of 26 working days. How could you find his monthly earnings? Find them.

7. Mr. Warner earned $2580 in one year. His expenses were $1975. How could you find his savings? Find them. 8. If you were told that of the distance from San Francisco to Seattle was 179 miles, how could you find the total distance between them? Find it.

9. How many degrees are there in of a right angle? in of a right angle? in of a right angle? in 1 of a right angle? With your protractor draw each of these angles.

10. If 15° equals of a certain angle, how many degrees in that angle? What kind of angle is it?

11. If two straight lines meet at a point so as to form an angle of 90°, what is the relation of each line to the other?

12. If 1 decimeter is approximately 4 inches long, estimate in decimeters the length and width of a desk 60 inches by 32 inches.

13. If 1 centimeter is approximately of an inch long, estimate in centimeters the height of a boy 4 feet 6 inches tall.

14. One kilometer is approximately of a mile. How many miles is it from New York to Chicago, if it is approximately 1600 kilometers?

15. The marathon run is 22 miles, 160 rods. How many kilometers (approximately) is that?

16. Add: of 250, of 240, 4 of 637, and of 360.

17. How many times 2 are 13?

18. If John can walk 13 miles while Henry is traveling 32 miles, how far can Henry travel while John is walking 1 mile?

19. From a piece of cloth containing 25 yards, a tailor cut 8 suits of clothes containing 23 yards each. How many yards remained?

20. If the distance from home plate to second base is 1 (approximately) times the distance from home to first base, which is 90 feet, how far is it from home to second base?

21. George's height is 5 feet. His father's height is 6 feet. By how much does the father's height exceed George's height?

22. A real estate agent sold a house for Mr. Evans and obtained $10,000 for it. If the real estate agent received $500 for his work in selling the house, what part of the selling price did he receive?

23. A man owning a building worth $102,000 insured it for $68,000. For what part of the value of the building was it insured?

24. If 1 kilogram equals 23 pounds, how many kilograms will a cubic foot of water weighing 62 pounds weigh?

25. Which is heavier and how much, 10 kilograms or 336 ounces avoirdupois?

26. Ruth Malcolm could not think of the meaning of acute and obtuse. Can you?

27. The Eiffel Tower in Paris is about 300 meters high. The Woolworth building in New York City is 792 feet high.