CHAPTER FOUR TESTS OF ACHIEVEMENT A. PROBLEMS 1. (a) Did you earn any money during the summer vacation, or do you earn any by working after school and on Saturdays? (b) Make a bar graph showing the various amounts spent for different things. (c) What per cent of your money was put in a savings bank? 2. (a) During his summer vacation, a high school boy earned $9 a week for ten weeks. The following graph shows what he did with the (b) How much did the boy earn? (c) How much did he spend for each item? (d) How much did he put in the savings bank? ten years? 3. (a) Business men lose large sums of money every year because clerks are not accurate in their calculations. An actual example is of a clerk selling 30 inches of oilcloth at $.55 a yard, asking $.35 for it. When asked how she figured, she said it was 3 inches over half a yard. After several attempts the customer told her the amount. (b) How would you calculate such a cost? (c) A very quick method of calculating the cost is given below: 30 inches lacks 6 in. or of a yd. of being a whole yard. of $.55 $.09 (in round numbers) = 4. Without pencils, figure the cost of the following: (a) yard of lace at $.30 a yard. (b) 27 inches of banding at $2.50 a yard. (c) 13 ounces of ground meat at 28 cents a pound. 5. (a) Sometimes clerks make errors that cheat the customer as well as the proprietor. It is always wise to make your own calculations when making purchases. Be sure to make them in the quickest way. (b) Make up ten or more problems like the foregoing ones. Use them for rapid calculation matches for five minutes each day at the beginning of the class period. 6. A boy who has a large paper route found he could not make all of his own collections on Saturday morning, so he hired another boy to help him. Instead of paying his assistant for his time, the newsboy paid him 3% commission. How much did the assistant earn if he collected $24.60? 7. A coal dealer bought 28 tons of coal at $3.45 a gross ton (2240 lb.). His expenses for freight and delivery were $1.20 a gross ton. He sold it at retail at $6.50 a short ton. What was his profit? 8. (a) The weather record for a week showed the following maximum and minimum daily temperatures: (b) What is the average or mean maximum tempera ture for the week? (c) What is the mean minimum temperature? (d) Draw a graph of the maximum temperatures. (f) From the graph tell on which days the temperature varied the most. 9. Keep a similar record for a week of the variations in temperature in your locality. Find the mean temperatures and draw the graphs. 10. (a) The following is part of a newspaper advertisement by a savings bank: Weekly Deposits SEE HOW FAST MONEY GROWS Deposits of $1.00 to $10.00 Weekly at 5% Compounded Semi-Annually ACCUMULATE AS FOLLOWS: 1 year 2 years 3 years 4 years 5 years 6 years 7 years 8 years 9 years 10years $1.00 $53.32 $109.80 $168.06 $229.72 $294.41 $362.24 $433.32 $507.83 $585.83 $677.55 2.00 106.61 218.58 336.13 459.43 588.82 724.49 866.65 1,015.67 1,171.67 1,335.11 3.00 159.91 327.89 504.17 689.18 883.23 1,086.74 1,299.98 1,523.51 1,757.51 2,002.67 4.00 213.22 437.21 672.25 918.88 1,177.64 1,448.96 1,733. 29 2,031.35 2,343.35 2,670.23 5.00 266.54 546.50 840.29 1,148.59 1,472.05 1,811.24 2,166.64 2,539. 19 2,929. 19 3,337.79 6.00 319.83 655.78 1,008. 36 1,378. 32 1,766.48 2,173.49 2,599.97 3,047.03 3,515.034, 05.30 7.00 373.15 765.07 1,176.42 1,608,02 2,060,96 2,535.74 3,033.30 3,554.87 4,100.87 4,672.91 8.00 426.45 874.28 1,344. 52 1,837.76 2,355.37 2,897.99 3,466.63 4,062.71 4,686.71 5,340.47 9.00 469.76 983.72 1,512.51 2,067.58 2,649, 78 3,260. 24 3,899.96 4,570.55 5,272.55 6,008.03 532.56 1,092.91 1,680.65 2,297.35 2,944.21 3,622.49 4,333.44 5,078.35 5,858.43 6,675.59 10.00 5% It is not what you Earn, it is what you Save, that counts $1.00 WILL START YOU 5% (b) If $1 is deposited weekly, how many dollars are deposited in one year? in 10 years? (c) What do weekly deposits of one dollar amount to in 10 years? (d) How much of this amount has been deposited? (e) How much of it is interest? (f) What per cent of the amount of deposits is this total interest? (g) How much interest accrues in 10 years on weekly (h) When are you going to start a savings account? time? 11. (a) If there is a weather bureau in your community, you will find a trip to it worth while. If pos sible, make a visit to one and find out how a record of the changes in temperature is kept. (b) The weather man need not look at the thermometer every hour to record the temperature. On an instrument the change in temperature makes a little needle-like pencil trace a line on a piece of graph paper. This paper is marked off in hours, so that the weather man can read a record of all the changes during the night or whenever he is away. 12PM 2AM 4 SUMMER WINTER (c) These two graphs show the variations in temperature on two days, one in summer and one in winter. (d) Read the temperature for each hour of the day in each graph. |