SPECIAL DRILLS. 1129. Give sums: 112+91+85 129+62+98 43+131+61 95+144+79 68+56+174 26+172÷+81 63+117+97 63+34+186 182+13+67 75+193+23 91+126+32 91+59+165 1134. Oral Problems. 1. A has 96 sheep; B has 28 sheep more than A. How many sheep have both? 2. There are 56 pupils in one class, 48 in a second class, and 52 in a third class. How many pupils are there in the three classes? 3. March 29 is what day of the year 1894? 4. How far is a man from his starting-point, if he travels. due east 150 miles, due west 23 miles, due east again 48 miles? 5. A body falls 16 ft. in the first second, three times as far in the second second, five times as far in the third second. far does it fall in three seconds? How 6. The base of a right-angled triangle is 12 ft., the perpendicular is 16 ft. What is the hypotenuse? 7. At $35 per month, what will be the rent of a house for 16 months? 8. A field containing 169 square rods is 13 rods long. How many rods of fence will be needed to enclose it? 9. 25 packages of sugar weigh together 87 lb. How many pounds are there in each? 10. At 45 miles per hour, how many hours, minutes, and seconds will it take a train to go 230 miles? 11. How many years have elapsed since the invention of gunpowder, 1356? 12. What profit is made on an article bought for $175, less 12%, and sold for $200? 13. How many square rods in a field 71 rods long, 81 rods wide? 14. Assuming a kilo to be 24 lb., how many kilos will be equal to 143 lb.? 15. A degree of longitude in latitude 45° is about 70% of the length of a degree on the equator. Calling the latter length 69 miles, how long is a degree of longitude in latitude 45°? 16. At $44 per acre, how much land can be bought for $968? 17. A number of marbles divided among 29 boys gives each 16 marbles, and leaves a remainder of 26. How many marbles are there? 18. What is the monthly salary of a clerk who receives $1,500 per year? 19. How many revolutions in a mile, 5,280 ft., are made by a locomotive wheel 16 ft. in circumference? 20. How many feet of fence are there around a lot 49 ft. wide, 87 ft. long? 21. How many bricks 8 in. by 4 in. by 2 in. would make a cubic foot? 22. 13 is one factor of 1,001. Find the other two prime factors. 23. What are the three equal factors of 343? 24. What is the square root of 1,225 ? 25. At 4 miles per hour, how long will it take a man to walk 371⁄2 miles? 26. What will be the cost of 9 dozen hats at $1.33 each? 27. A 90-days note is drawn April 6. On what date is it due? 28. How many square yards are there in the entire surface of a cube whose solid contents are 8 cubic yards? 29. What are the proceeds of a 60-days note for $100 discounted at a bank the day it is drawn at 6%? 1135. An English Invoice. LEEDS, Aug. 24, 1892. Statement of certain goods, viz.: woolen mantlings, consigned by Johnson & Birmingham to Messrs. Hamburger Bros. of New York, and dispatched from Leeds via Liverpool, per S. S. Umbria. Find the duty in U. S. money at 44 per lb. and 50% ad valorem. £1= $4.8665. 1136. NOTE. -2/3 = 2 shillings 3 pence. 1/91 shilling 9 pence. MEASUREMENTS. 1137. Find the area of each of the following triangles and its altitude. When the area of a triangle is known and the length of the base, how can its altitude be calculated? 1. Base, 51 ft.; other sides, 20 ft. and 37 ft. 2. Base, 21 yd.; other sides, 13 yd. and 20 yd. 3. Base, 148 rods; other sides, 39 rods and 113 rods. 4. Base, 28 chains; other sides, 17 chains and 25 chains. 5. Base, 75 inches; other sides, 20 inches and 65 inches. 1138. Find the areas of the following quadrilaterals: CD, 20; DA, 13. AC= 21. CD, 39; DA, 17. AC= 44. 1. A and B rented a field for a year for $175. A put in 6 horses for the whole time, B put in 5 horses for 11 months and 3 horses for 5 months. How much of the rent had each to pay? 2. A bankrupt surrenders property worth $1,287 for the benefit of three creditors to whom he owes $750, $1,125, and $1,245, respectively. How much should each creditor receive? 3. Four persons rented a pasture for 26 weeks. K put in 50 sheep and L 60 sheep for the whole time, M put in 70 sheep for 20 weeks, and N 90 sheep for 22 weeks. How much of the rent, $130, had each to pay? |