ELEMENTARY SCHOOL MATHEMATICS BY GRADES

GLOBE SERIES

SEVENTH BOOK

ARITHMETIC, GEOMETRY, AND ALGEBRA

BY

WILLIAM E. CHANCELLOR, M.A.

SUPERINTENDENT OF SCHOOLS, BLOOMFIELD, N.J.

B

GLOBE SCHOOL BOOK COMPANY
NEW YORK AND CHICAGO

Edur 7 119.021666

✓

HARVARD COLLEGE LIBRARY

GIFT OF

GEORGE ARTHUR PLIMPTON

JANUARY 25, 1924

"Why do we try to make children do what we do not try to
do ourselves? Instead of mastering one subject before going to
another, it is almost invariably wiser to go on to a superior sub-
ject before the inferior has been mastered. . . . On the mastery
theory, how much new reading or thinking should we adults
do?"

"Many an educated man remembers to this day the exaspera-
tion he felt when he discovered that problems in arithmetic over
which he had struggled for hours could be solved in as many
minutes after he had got half way through algebra."

President CHARLES WILLIAM ELIOT, LL.D.,
Harvard University.

From "Educational Reform."

66 The teachers who fear lest the child shall drift into thinking
in symbols . . . are really fearing that the child shall drift into
mathematics."

Professor DAVID EUGENE SMITH, PH.D.,
Mathematics, Teachers' College, Columbia University.

From "The Teaching of Elementary Mathematics."

"That algebra, arithmetic, and geometry should be taught side
by side is not merely useful; it is indispensable for maintaining
that unity and coördination in mathematics, without which the
science loses all interest and value. A boy who has taken his
arithmetic first and then his algebra and then his geometry, has
his mental powers less developed than they would have been with
three or four years of parallel teaching intelligently pursued."
From Laisant, "La Mathematique."

Quotation translated by Dr. D. E. Smith.

Copyright, 1902, by

GLOBE SCHOOL BOOK COMPANY.

M. P. I

MANHATTAN PRESS

474 WEST BROADWAY

NEW YORK

INTRODUCTORY ORAL REVIEW

1. When 3 oranges cost 10, how much do 4 dozen cost at the same rate?

2. When milk is 8 a quart, how many gallons can be bought for 64?

3. John's bicycle cost $161, and his father's cost three times as much, less 50. Find the cost of his father's.

4. James gathered 3 pecks of chestnuts one day. On the following day James and Henry together gathered 1 bu. They put them all into one box. How many quarts of nuts did they gather?

5. Two persons share $250 in the ratio of and . What is the share of each?

6. A square garden contains 900 sq. ft. How long is the fence which incloses it?

sold

7. A man who owned

of his share for $7000.

of a vessel worth $12,000 How much was his gain?

8. of 15 is of what number?

11

9. Robert lost 75, which was of all he had in his pocket. How much had he at first?

10. 810 is 142% of what number?

11. A wheat field in the form of a rectangle is 80 rods long and as wide. a. What is its area? b. If it had been in the form of a square, how much less fence would it have required to inclose it?

11

12. There are 3936 people watching a ball game. 163% of the number are boys. How many boys are there?

13. In an orchard of the trees bear peaches, bear pears, and the remainder, 363, bear apples. How many trees are there in the orchard?

14. A lady has pieces of red, white, and blue ribbon, containing respectively 60, 45, and 65 yards. What is the length of the longest equal strips into which she can cut them?

15. What is the simple interest on $9500 for 4 months at 6% yearly?

16. A and B engaged in a business in which A invested $12,000. B received $5000 of the $7000 which they gained. How much did B invest?

17. When a dealer sells of a ton of coal for what of a ton cost, what is the gain per cent?

18. When a sight draft on St. Louis for $6000 sells for $6150, what is the rate of exchange?

19. Had I paid 7% less for my house, it would have cost me $350 less than it did. How much did it cost me?

20. The distance between opposite corners of a room is 50 ft. The room is 40 ft. long. How wide is it?

21. A man owning a house worth $8000 had it insured for of its value at 11%. How much was the premium? 22. An agent was paid $564 as his commission for selling some merchandise. If his rate of commission was 3%, what was the value of the merchandise?

Find

23. What is the bank discount on a 90 days' note of $1000 when discounted at 6% on the day of date? the proceeds of the note.

24.

of the number of marbles John has, less 13, equals of the number that Tom has. John has 66. How many has Tom?

25. A pile extends 4 ft. above deep. The part above water is of the river.

the water, which is 20 ft. of that down in the bed

How long is the pile?

INTRODUCTORY WRITTEN REVIEW

1. What is the cost of a house lot 50 ft. wide by 175 ft. deep at 20 per sq. ft.? Compare the cost at the rate of $20 per foot front. Draw the lot to scale, 1 ft. to in.

1

2. Without allowing for mortar, find how many bricks 8" x 4" x 2" there are in a wall 30' × 6' x 1'.

3. A cubic foot of water weighs 62 lb. What is the weight of water that fell upon an acre of land to the depth of 2 inches?

4. An agent sells 25 bbl. of molasses, at $13 each, at 21% commission. What will the agent and the owner

each receive?

5. A factor sells 250 bbl. of pork, at $15 each; 175 bbl. of beef, at $7 each; and 1456 lb. of butter, at 25¢ a pound; his commission is 3%. What sum should he pay the owner?

6. A man invested $8460 in the Western Manufacturing Co., and afterward sold out at 41% advance. For how much did he sell his stock?

7. Frozen water occupies 73% greater space than liquid water. After it is frozen solid, what is the volume of water that was 8' x 7' x 6' when above freezing?