DENOMINATE NUMBERS. 1. From March 26th to April 2d, it is March 26th is Monday, April 2d is 2. From April 20th to May 5th, it is weeks and days. If days, or day. If April 20th is Friday, May 5th is 3. From April 20th to May 12th it is weeks and days, or day. If April 20th is Friday, May 12th is (a) How many days from April 20th to June 9th ? (b) If April 20th is Friday, what day of the week is June 9th? (c) June 12th? 4. In a year in which there is a Feb. 29th, there are 5. In a year in which there is no Feb. 29th, there are 6. If the first day of February of a common year is Monday, the first day of February of the next year is 7. If the first day of February of a leap-year is Monday, the first day of February of the next year is 8. If the tenth of February of a leap-year is Saturday, the tenth day of February of the next year is 9. If the 17th day of April of a leap-year is Wednesday, the 17th day of April of the next year is *Think as suggested in the following; April 10 to Apr. 30, 20 days; Apr. 30 to May 31, 31 days, May 31 to June 30, 30 days; June 30 to July 4, 4 days. 20 days +31 Sidewalk MEASUREMENTS. The following diagram of a house and lot is drawn on a scale of 24 feet to an inch. North side of Lot HOUSE (a) How many feet long is the lot, not including the walk? (b) How many feet wide is the lot? (c) How many feet from the sidewalk to the house? (d) How far from the house to the back of the lot? (e) How far from the house to the north side of the lot? (f) How many feet long is the house? (g) How many feet wide is the front of the house? (h) How many feet wide is the rear of the house? (i) How far from the south side of the lot to the house? (j) How wide is the sidewalk? (k) How much will the sidewalk cost at 124 per square foot ? * (1) How much is the lot worth at $25 a foot front? † *There are 306 square feet in the walk. In finding the cost the pupil may think that at 14 a foot it would cost $3.06, and at 124 a foot, 12 times $3.06; or he may think that if 1 foot costs 124, 306 feet would cost 306 times 124. The expression "foot front" stands for a strip 1 foot wide and as long as the lot is "deep." Back of Lot. RATIO AND PROPORTION. 1. One ton is and times 800 lb. If 800 dollars. lb. of hay is worth $3.00, 1 ton is worth (a) If 800 lb. of flour is worth $18.50, how much is 1 ton worth at the same rate? 2. One mile is times 80 rd. If it costs $30 to build 80 rd. of fence, to build one mile of similar fence will cost dollars. (b) If it costs $375 to make 80 rd. of road, how much will it cost to make 1 mile of road at the same rate? 3. One hour is and times 24 minutes. Harry rode 5 miles in 24 minutes; this was at the rate of an hour. (c) A locomotive moved 19 miles in 24 minutes. This was equal to what rate per hour? 4. One minute is times 20 seconds. A pump rod made 18 strokes in 20 seconds; this was at the rate of strokes a minute. (d) A certain pulley revolves 106 times in 20 seconds. What is its rate of revolution per minute? (e) How many times does it revolve in one hour? (f) Find how many times your pulse beats in 20 seconds. This is at what rate per minute? Per hour? If 12 oz. cheese is worth 154, 1 lb. is worth times 12 ounces. (g) If 12 ounces of onion seed is worth 724, how much is 1 pound worth? 6. If 50 sq. rods of land is worth $20, at the same rate 1 acre is worth dollars. (h) If 50 square rods of land is worth $345, how much is 1 acre worth at the same rate? (g) $747 is 12 (h) $868 is 12 (i) $572 is 10 (b) 121% less than $972 = (d) 10% less than $845 = (f) 30% less than $650 = * = 49 is 12% less than 54 is 10% less than 28 is 30% less than per cent more than how many dollars? per cent less than how many dollars? per cent more than how many dollars? (j) $729 is 10 per cent less than how many dollars? (k) $299 is 30 per cent more than how many dollars? (1) $350 is how many per cent less than $500? * Think of x as standing for the number sought. Then 45 = 2 and 1 eighth of x, org of x. Since 45 is 9 eighths of x, 1 eighth of x is 5, and the whole of x is 8 times 5= 40. † 49 x less 1 eighth of x, or 3 of x. Since 49 is of x, 1 eighth of x is 7, and the whole of x is 8 times 7 = 56. PERCENTAGE. 1. Five years ago the population of a certain city was 6000; it has increased 33 %; its present population is (a) Eight years ago the population of a certain city was 9750; it has increased 33%. What is its present population ? 2. A man sold a horse for $100 which was 25% more than he gave for it. He gave dollars for the horse. (b) A man sold a farm for $6825 which was 25% more than he gave for it. How much did he give for the farm? 3. Alice has 504; than Alice; Alice has Jane has 604; Jane has -% less than Jane.* -% more (c) Mr. Lyon has 600 acres of land; Mr. Whitney has 400 acres. Mr. Lyon has how many per cent more than Mr. Whitney? (d) Mr. Whitney has how many per cent less than Mr. Lyon? 4. By selling a horse for $60, the owner would lose 25%; the horse cost dollars. (e) By selling a farm for $4320, the owner would lose 25%. How much did the farm cost him? 5. By selling a horse for $60, the owner would gain 25%; the horse cost dollars. (f) By selling a farm for $5300, the owner would gain 25%. How much did the farm cost him? 6. 25% of the vinegar in a cask leaked out and 36 gal. remained; before the leakage there were gallons. (g) 25% of the water in a tank leaked out and 465 gallons remained. How many gallons in the tank before the leakage? * In one part of this problem 50 is the base; in the other part, 60 is the base. |