Co-op Problems

Problem of the DayGrade 8 – Algebra I

Mrs. Silvernail

Logic and Reasoning

• Each of four neighbors, Amy, Stefan, Elizabeth, and Bryan has a different job (editor, banker, chef, or dentist). From the following clues, determine the job of each neighbor. – Amy gets home from work after the banker but before the

dentist.– Elizabeth, who is the last to get home from work, is not the

editor.– The dentist and Elizabeth leave for work at the same time.– The banker lives next door to Bryan.

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Problem # 1

Six girls sold the following number of boxes of cookies: 42, 35, 28, 30, 24, 27. What was the average number of boxes sold by each girl?

A: 26B: 29C: 30D: 31

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Problem # 2

The cost of sending a telegram is 52 cents for the first ten words and 2 ½ cents for each additional word. The cost of sending a 14-word telegram is:

A: 62 centsB: 63 centsC: 69 centsD: 87 cents

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Problem # 3A stock clerk has on hand the following items:

500 pads worth four cents each130 pencils worth three cents each50 dozen rubber bands worth two cents per dozen

If, from this stock, he issues 125 pads, 45 pencils, and 48 rubber bands, the value of the remaining stock would be:

A: $6.43 B: $8.95 C: $17.63 D: $18.47

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Problem # 4

As an employee at a clothing store, you are entitled to a 10% discount on all purchases. When the store has a sale, employees are also entitled to the 20% discount offered to all customers. What would you have to pay for a $60 jack bought on a sale day?

A: $6 B: $10.80 C: $36 D: $43.20

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Problem # 5

How many square yards of linoleum are needed to cover a floor having an area of 270 feet?

A: 24B: 28C: 30D: 33

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Problem # 6

If a pie is divided into 40 parts, what percent is one part of the whole pie?

A: .4B: 2.5C: 4.0D: 25

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Problem # 7

A recipe for 6 quarts of punch calls for ¾ cups of sugar. How much sugar is needed for 9 quarts of punch?

A: ⅝ of a cupB: ⅞ of a cupC: 1 ⅛ cupsD: 2 ¼ cups

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Problem # 8

How many yards of ribbon will it take to make 45 badges if each badge uses 4 inches of ribbon?

A: 5B: 9C: 11D: 15

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Problem # 9

Oil once sold at 42 ½ cents a quart. The cost of 4 gallons of oil was:

A: $ 6.50B: $ 6.60C: $ 6.70D: $ 6.80

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Problem # 10A clerk can add 40 columns of figures an hour by

using an adding machine and 20 columns of figures an hour without using an adding machine. What is the total number of hours it will take the clerk to add 200 columns of figures if ⅗ of the work is done by machine and the reset without the machine?

A: 6 hours B: 7 hours C: 8 hours D: 9 hours

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Problem # 11

Two rectangular boards, each measure 5 feet by 3 feet, are placed together to make one large board. How much shorter will the perimeter be if the two long sides are placed together than if the two shorts sides are placed together?

A: 2 ft B: 4 ft. C: 6 ft. D: 8 ft.

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Problem #12

1 % of 8 =

A: 8B: .8C: .08D: .008

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Problem # 13

When 81.3 is divided by 10, the quotient is:

A: .0813B: 0.813C: 8.13D: 813

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Problem # 14

+1, -1, +1, -1 +1, … and so on, where the last number is +1, has a sum of :

A: 0B: -1C: +1D: 2

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Problem # 15

If a pane travels 1,000 miles in 5 hours 30 minutes, what is its average speed in miles per hour?

A: 181B: 200C: 215D: 191 ⅕

911

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Problem # 16

A jacket that normally sells for $35 can be purchased on sale for 2,975 pennies. What is the rate of discount represented by the sale price?

A: 5%B: 10%C: 15%D: 20%

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Problem # 17

Perform the indicated operations and express your answer in inches: 12 feet, minus 7 inches, plus 2 feet 1 inch, minus 7 feet, minus 1 yard, plus 2 yards 1 foot 3 inches.

A: 130 inchesB:128 inchesC:129 inchesD: 131 inches

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Problem # 18

What is the value of x when 5x = 5 • 4 • 2 • 0 ?

A: 6B: 8C: 0D: 1

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Problem # 19

A square has an area of 49 square inches. The number of inches in its perimeter is:

A: 7B: 28C: 14D: 98

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Problem # 20

(3 + 4)3 =A: 21B: 91C: 343D: 490

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Problem # 21

A roll of carpeting will cover 224 square feet of floor space. How many rolls will be needed to carpet a room 36’ x 8’ and another 24’ x 9’?

A: 2.25B: 4.5C: 2.5D: 4.25

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Problem # 22

A library contains 60 books on arts and crafts. If this is .05% of the total number of book on the shelves, how many books does the library own?

A: 120,000B: 12,000C: 1,200,000D: 1,200

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Problem # 23 A court clerk estimates that the untried cases on

the docket will occupy the court for 150 trial days. If new cases are accumulating at the rate of 1.6 trial days per day (Saturday and Sunday excluded) and the court sits 5 days a week, how many days’ business will remain to be heard at the end of 60 trial days?

A: 168 trial days C: 185 trial daysB: 188 trial days D: 186 trial days

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Problem # 24

A house plan uses the scale ¼ inch = 1 foot, and in the drawing the living room is 7 inches long. If the scale is changed to 1 inch = 1 foot, what will the length of the living room be in the new drawing?

A: 18 in. B: 28 in. C: 30 in. D: 36 in.

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Problem # 25

A store sold suits for $65 each. The suits cost the store $50 each. The percentage of increase of selling price over cost is:

A: 40%B: 33 ½ %C: 33 ⅓ %D: 30%

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Problem # 26

A man borrowed $5,000 and agreed to pay 11 ½ % annual interest. If he repaid the load in 6 months, how much interest would he pay?

A: $2,875.00B: $5,750.00C: $287.50D: $575.00

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Problem # 27

After deducting a discount of 30%, the price of a coat was $35.00. The regular price of the coat was:

A: $116.67B: $24.50C: $50.00D: $42.00

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Problem # 28 Two cars start from the same point at the same

time. One drives north at 20 miles per hour and the other drives south on the same straight road at 36 miles per hour. How many miles apart are they after 30 minutes?

A: Less than 10B: Between 10 and 20C: Between 20 and 30D: Between 30 and 40

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Problem # 29

During his summer vacation, a boy earned $14.50 per day and saved 60% of his earnings. If he worked 45 day, how much did he save?

A: $391.50B: $287.93C: $402.75D: $543.50

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Problem # 30

The number of cubic feet of soil needed for a flower box 3 feet long, 8 inches wide, and 1 foot deep is:

A: 24B: 12C: 4 ⅔D: 2

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Problem # 31

The scale of a certain map is 4 inches = 32 miles. The number of inches that would represent 80 miles is:

A: 8B: 12C: 10D: 16

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Problem # 32 The daily almanac report for one day during the

summer stated that the sun rose at 6:14 a.m. and set at 6:06 p.m. Find the number of hours and minutes in the time between the rising and setting of the sun on that day.

A: 11 hr. 52 min.B: 12 hr. 8 min.C: 11 hr. 2 min.D: 12 hr. 48 min.

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Problem # 33

One piece of wire is 25 feet 8 inches long and another is 18 feet 10 inches long. What is the difference in length?

A: 6 ft. 10 in.B: 6 ft. 11 in.C: 7 ft. 2 in.D: 7 ft. 4 in.

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Problem # 34

If a vehicle is to complete a 20-mile trip at an average rate of 30 miles per hour, it must complete the trip in:

A: 20 min.B: 30 minC: 40 min.D: 50 min.

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Problem # 35

A snapshot measures 2 ½ inches by 1⅞ inches. It is to be enlarged so that the longer dimension will be 4 inches. The length of the enlarged shorter dimension will be:

A: 2 ½ inchesB: 3 inchesC: 3 ⅜ inchesD: 2 ⅝ inches

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Problem # 36

An adult ski lift ticket costs twice as much as a child’s. If a family of three children and two adults can ski for $49, what is the cost of an adult ticket?

A: $7B: $10C: $12D: $14

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Problem # 37 A recipe calls for 1 ½ cups of sugar. It is

necessary to make eight times the recipe for a church supper. If 2 cups of sugar equal 1 pound, how many pounds of sugar will be needed to make the recipe for the supper?

A: 4B: 6C: 8D: 10

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Problem # 38

In the fraction can be replaced by

all of the following except: A: 0B: +3C: +2D: -2

1 ΔΔ - 2

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Problem # 39

If one pipe can fill a tank in 1 ½ hours and another can fill the same tank in 45 minutes, how long will it take for the two pipes to fill the tank together?

A: 1 hourB: ½ hourC: 1 ½ hoursD: ⅓ hour

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Problem # 40 Two cars are 550 miles apart and traveling

toward each other on the same road. If one travels at 50 miles per hour, and the other at 60 miles per hour, and they both leave at 1:00 p.m., what time will they meet?

A: 4:00 p.m.B: 4:30 p.m.C: 5:45 p.m.D: 6:00 p.m.

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Problem #