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DRAWING TO SCALE
1. If your school has a playground estimate or measure its length and breadth. Select a convenient scale and make a drawing of the playground. This is called drawing to scale.
2. Estimate or measure the length and breadth of the school-room. Make to scale a drawing of the room.
3. Find the size and position of the desks and locate them in your drawing; do the same for windows and doors. 4. In your village or city what is the length of a block? many blocks are there to the mile?
5. If there are 8 blocks to the mile and 1 inch in a drawing represents a block, how many inches represent of a mile?
6. Find the distances of the houses of several pupils from the school. Make to scale a map
similar to the one shown, locating the school and the houses.
7. The hill represented in the picture has been cut to a level for a railway. If one inch in the picture represents 10 ft., find the depths at the places indicated in the picture.
8. What is the length of the part of the cut shown in the figure of Exercise 7?
9. Make a picture of a railway cut, differing from the one shown in the figure. Select a scale and measure its depths at various places.
1. A certain post-office has 4 mail-carriers and each has a route with 1,000 addresses. If the delivery averages 1 piece to every fifth person, how many pieces does each carrier distribute at one delivery? How many pieces do the 4 carriers distribute?
2. There are two deliveries a day; how many pieces of incoming mail are handled for delivery by the post-office per day? If there is the same amount of outgoing mail, what is the total number of pieces handled?
3. If the postage averages 2 cents per piece, how many. dollars' worth of stamps are canceled in a day?
4. 15 money-orders were sold for which the post-office received $2.25; also 480 stamped envelopes at 26¢ a dozen; 300 single postal cards and 200 with return card attached. How much did the office receive from these sources?
5. The four carriers are paid at the rate of $2 a day, the postmaster at the rate of $5, and 2 clerks at the rate of $1.75 each; what does the labor in this post-office cost the government per month?
6. There are 120 lock-boxes in a post-office, of which are rented at 25¢ a month; what is the income from these boxes in a year?
7. Make and solve 3 problems, using the data of the table:
8. Make problems about the postal service in your city.
1. The usual weight of a bale of hops is 200 lb.; how many bales are there in 1 ton? In a car-load of 10 tons?
2. 2,000 roots are required to plant an acre of hops; how many are required to plant 25 acres? What is the cost of planting 25 acres at $1 per 1,000 plants?
3. The wire trellis to support the vines costs $75 an acre; what is the cost for 25 acres?
4. Picking the hops costs at the rate of 14 a pound and 3 lb. of green hops make 1 lb. of dry hops; what is the cost of picking enough to make 1 ton of dry hops?
5. One cord of willow wood costing $5 will dry 1,000 lb. of hops; according to Exercise 1, what is the cost of enough wood to dry 100 bales?
6. The following are the ingredients of a fertilizer for vineyards: phosphate, ground bone, and potash in equal amounts. If an acre requires 900 lb. of fertilizer, how many pounds of each ingredient are used on an acre?
7. How many tons of such fertilizer are needed for a 2-acre vineyard?
8. A fertilizer for growing strawberries consists of 1 part nitrate of soda, 2 parts phosphate, 2 parts ground bone, and 2 parts of potash; how many pounds of each ingredient are there in 700 lb. of fertilizer?
9. 1 tons of fertilizer will fertilize 5 acres of strawberries; how many pounds are used per acre?
10. If a cow gives 450 lb. of milk in a month and each 100 lb. contains 4 lb. of fat, how much fat is there in the month's product?
II. According to Exercise 10, how many pounds of milk would a dairy of 20 cows produce in a month? If the skimmed milk is of this amount, what is the weight of the month's product of cream?
1. Find the cost of the kit of tools given in this list:
One 20" rip-saw.
KIT OF COMMON TOOLS.
2. Find the cost of the kit of tools given in this list:
3. A manual-training room is to be furnished with benches for 12 boys; if each bench costs $3, what will the 12 cost?
4. Each bench is to be supplied with the individual kit of tools as given in Exercise 2; how much will the 12 kits cost?
5. The room is to be supplied with 4 kits of common tools; how much will they cost?
6. Each pupil supplies himself with a 15-cent apron and 25 cents' worth of material; how much do these things cost for the whole class?
7. If each pupil uses 10 ft. of lumber in a month, how much is used by the whole class in the same time?
8. Make and solve other problems about supplies for manual training work.
NOTATION AND NUMERATION
The number facts of business and science constantly require numbers larger than those that can be expressed by thousands. In Book I the names and symbols for all integers to 10,000 have been given.
The method of naming or reading numbers is called numeration and that of writing notation.
1. How many units make 1 ten?
3. How many hundreds make 1 thousand?
4. What method of grouping is used in forming numbers to thousands?
Similarly, 10 thousands are grouped into 1 ten-thousand. The number of ten-thousands is written at the left next to thousands' place.
5. Read: 20,000; 25,000; 35,000; 97,000.