is SIMPLE NUMBERS.* 1. The sum of all the odd numbers from 1 to 7 inclusive ; of all the even numbers from 2 to 8 inclusive, (a) Add all the odd numbers from 1 to 37 inclusive. (b) Add all the even numbers from 2 to 38 inclusive. 2. 5+ 4 + 6 +7+3+8+6+5+4+3+5+6+3+ 7+5+9-50 = (e) 9328 × 46 = (g) 3896 × 52 = (i) 2543 × 69 = (k) (c) From the sum of 9864, 792, and 8756, subtract 4598. (d) Multiply 8754 by 27. (f) Multiply 5964 by 38. (h) Multiply 3875 by 45. (j) Multiply 874 by 126. (1) Multiply 556 by 208. (n) Multiply 734 by 160 (p) Divide 7618 by 52. (r) Divide 9351 by 54. (t) Divide 9636 by 55. (v) Divide 7532 by 56. (x) Divide 10336 by 57. (z) Divide 3960 by 27. (bb) Divide 6888 by 27. 963 x 245 = (m) 831 × 306 = (0) 673 × 250 = *TO THE TEACHER.-If pupils are inaccurate in their work in simple numbers, give them daily practice in exercises similar to those appearing upon this page. Lead the pupils to feel that nothing short of perfect accuracy is highly commendable. A "90% paper" in arithmetic is a failure. A "90% accountant" is worthless. COMMON FRACTIONS. 1. Add †,†, and . The 1. c. m. of 9, 4, and 6 is (a) Add 3462, 375, 4861, 296, and 855%. 2. From 124 subtract 3. (b) From 2381 subtract 154. 3. Multiply 35 by 4. (d) Multiply 5377 by 7. 5. Multiply 12 by 2. (f) Multiply 874 by 2. 7. Multiply 11 by 4. (h) Multiply 3731⁄2 by 4. (i) Multiply 525 by 4%. 8. Divide 8 by . (Change 8 toths.) (j) Divide 481 by §. 9. Divide 63 by 14. (k) Divide 17 by §. 68=10 11 = 10. 10° (m) Divide 823 by 13. (1) Divide 75% by 11. 10. Divide 1 (7) by 3. (n) Divide 5771 by 3. 12. James rode his wheel at the rate of 9 mi. an hour: In 4 hours he rode 11. Divide 19 by 3.* he rode and miles. In 4 hours he rode and miles. A locomotive moved at the rate of 49% miles an hour: (p) How far did it move in 4 hours? (q) In 5 hours? (s) In & of an hr.? (u) In 5 hours? 13. If of a yard of print is sufficient for a child's apron, * Do not change 191 to sixths. Say, rather, 1 third of 191 is 6, with a remainder of 11; 1 third of 11 (2) is 13. (1) Tell the meaning of each of the following, (2) solve, and (3) tell a suggested number story. (a) Multiply $345 by .7. (b) Multiply $345 by 5.7. (1) Divide $648 by $.09. (m) Find the cost of 7.2 tons of coal at $4.75 a ton. (n) I paid $38.25 for coal at $4.50 per ton. How many tons did I buy? (0) I paid $663 for 156 tons of coal. What was the price per ton? * The pupil will probably need a pencil in the solution of some of the problems in the first fourteen lines. After he is able to fill the blanks, require him to write them as suggested in the following..5; = .50; = .500; } = .3§; 1 = 331; = .3381, etc. cost? (b) of a ton? (c) of a ton? of a ton of flour 4. At $2.40 per cwt., 50 lb. of flour are worth 5. At 50¢ per cwt., 1050 lb. cost -; 850 lb. cost 1250 lb. cost -; 950 lb. cost -; 1150 lb. cost (d) At $2.70 per cwt., how much will 1450 lb. cost? 1950 lb.? (f) 1350 lb. ? 6. At $2.40 per cwt., 25 lb. of flour are worth 7. At 60¢ per cwt., 25 lb. are worth are worth cents; 175 lb. are worth cents; 75 lb. (g) At $2.60 per cwt., how much will 1225 lb. cost? (h) 1275 lb.? (i) 1525 lb. ? 8. At $2.50 per cwt., 20 lb. of flour are worth 9. At 60¢ per cwt., 20 lb. are worth are worth are worth cents; 60 lb. are worth cents. cents. cents; 40 lb. cents; 80 lb. (3) At $2.50 per cwt., how much will 1220 lb. cost; (k) 1240 lb.? (1) 1260 lb. ? 10. At $2.30 per cwt., 10 lb. of flour are worth 11. At 80¢ per cwt., 10 lb. of corn are worth cents; cents; 40 cents; 60 lb. cents. (m) At $2.50 per cwt., how much will 1210 lb. cost? MEASUREMENTS. 1. Draw carefully upon your slate or paper, on a scale of in. to the foot, a diagram of the floor of a room that is 17 ft. long and 14 ft. wide. (a) How many square feet in the floor? (b) How many feet of flooring will be required for the floor if, on account of the waste and the loss in matching, you must buy 1 fourth more feet of flooring than there are square feet to be covered? (c) Making no allowance for doors, how many feet in length are the mop-boards of the room? (d) If this floor is to be covered with a carpet that is 1 yard wide and the strips are to "run lengthwise" of the room, how many feet long will each strip be? (e) How many strips must be purchased? (f) How much of one strip must be turned under or cut off? (g) How many feet (in length) of carpet must be purchased if there is no waste in matching the strips? (h) How many yards must be purchased? (i) How much will the carpet cost at 60¢ a yard? (j) If the figure of the carpet is such that there is waste in matching, more carpet must be purchased than would otherwise be required. How much more if the waste on each strip (except the first) is 1 foot? (k) How much, including the waste, will the carpet cost at 60¢ a yard? (1) If the same floor is to be covered with carpeting that is 1 yard wide, costing 40¢ a yard, the strips to run lengthwise, and the waste in matching being 6 in. on each strip except the first, how much will the carpet cost? |