1 the president of a company makes $123,000 a year. the five vice presidents do not all make the...

1

The president of a company makes $123,000 a year. The five vice presidents do not all make the same salary because they have not all been with the company for the same amount of time. The salaries of the vice presidents are as follows: $84,000, $79,000, $77,000, $65,000, and $61,000. What is the average salary of these six management positions?

a.) $81,500 b.) $73,200 c.) $97,800 d.) $78,166

Word Problem

2

Calculating Travel Time

A bicyclist travels at 10 miles per hour. How long will it take the bicyclist to travel 30 miles?

a.) 1.5 hoursb.) 2.0 hoursc.) 2.5 hoursd.) 3.0 hours

3

Calculating Retail Space

Adrian is considering opening a clothing store in a new shopping mall. Adrian believes her proposed clothing store will do $500,000 per year in sales and market data says the average sales-per-square-foot in a clothing store is $250. The amount of selling space she will need is:

a.) 1666 square feetb.) 2338 square feetc.) 2000 square feetd.) 3666 square feet

Hint: Sales Volume ÷ Sales per Square Foot = Selling Space

4

ProblemBryan and a group of 9 of his co-workers went to Chez Maurice's Italian Restaurant for dinner after work. The restaurant traditionally adds 18% gratuity to parties of 8 or more people. Calculate his party’s gratuity if their total bill was $127.56.

a.) $17.82b.) $22.96c.) $19.14d.) $25.51

Hint: Step 1: Determine the percent amount of the tip, which is usually between 15% - 20% of the bill.Step 2: Change the percent to a decimal.Step 3: Calculate the tip using the following formula: bill x decimal= tipStep 4: Round the tip to the nearest cent

Calculating Tips

5

Calculate the amount of interest on $8700.00 when earning 3.25% per year for three years.

a.) $798.25b.) $898.25c.) $756.25d.) $848.25

Hint: Interest= (principal) (rate) (time)

Calculate Simple Interest

6

A flower grower produces 1000 packages of wildflower seeds. If a wholesaler purchases all but 28% of the grower's production, how many seed packages remain for the grower to sell?

a.) 280b.) 720c.) 560d.) 470

Word Problem

7

Calculating Wages

If the annual salary for a job is $56,000 and 27% is taken out for taxes, a savings plan, and health insurance, what is the monthly take-home pay?

a.) $3,757.88b.) $3,809.66c.) $3,557.88d.) $3,406.66

8

Vivian's sales territory produced $1.8 million in sales during the year. How much does she earn if she has a base salary of $50,000 plus 3% on sales over $1.5 million?

a.) $60,000b.) $59,500c.) $59,000d.) $58,500

Word Problem

9

Your boss has offered to pay for you to take a business class in the evening in order to build on your job skills. You have spoken with the professor for the class who tells you to expect about 120 pages of reading per night, five nights a week. Assuming that you read about 50 pages an hour, how many hours will you spend reading each week?

a.) 10 hours

b.) 20 hours

c.) 17 hours

d.) 12 hours

Word Problem

10

In a merchandising plan, sales for April are projected to be 10% greater than sales in April last year. If April sales were $14,100 last year, what are sales projected to be this year?

a.) $12,818b.) $14,805c.) $15,400d.) $15,510

Word Problem

11

Five eighths of this year’s budget for your company was for employee salaries. What percentage of the budget is this?

a.) 1.6%b.) .63%c.) 62.5%d.) 160%

Word Problem

12

Geometry / Scalene Triangle

A scalene triangle _______________.

A. Has three equal sides

B. Is always acute

C. Has one right angle

D. Has no equal sides

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a.) 3.3 X 109

b.) 33 X 109

c.) 3.3 X 1010

d.) 5

Word ProblemSales of a large coffee merchandiser recently reached $3.3 billion annually. Which represents this number?

14

a.) $44.10b.) $269.50

c.) $273.18

d.) $313.60

In November, Allie marks down all back-to-school merchandise 30%. How much will his store take in if they sell 35 backpacks originally priced at $11.00 and 15 dozen pens originally priced at $0.35 apiece?

Word Problem

15

Airtime for the average 30-second commercial costs $200,000. However, time on a highly-rated show can cost as much as $450,000. Which represents the difference between the costs of the average time slot and a slot on a highly-rated show?

a.) 125%

b.) 200%

c.) 225%

d.) 250%

Word Problem

16

If a diamond mine produces 10 million carats in a year, how many pounds of diamonds has it produced? (1carat=0.007 ounces)

a.) 4,375 lbs

b.) 7,000 lbs

c.) 43,750 lbs

d.) 70,000 lbs

Word Problem

17

A warehouse club has 150,000 square feet of space. About a third of the store is devoted to food retailing. How many square feet of space is devoted to products other than food?

a.) 30,000

b.) 33,000

c.) 50,000

d.) 100,000

Word Problem

18

Jama has just become owner of a franchise fast-food restaurant. He pays an initial fee of $150,000 plus $8,000 per month for advertising and management support to the franchisor. How much will he pay in all to the franchisor during his first year in business?

a.) $120,000

b.) $158,000

c.) $220,000

d.) $246,000

Word Problem

19

Which could be the dimensions of a 136 square foot kiosk selling costume jewelry at a mall? (a= l x w)

c.) 8.5ft x 16 ft

a.) 6.8 ft x 6.8 ft

b.) 16 ft x 16 ft

d.) 9 ft x 13.5 ft

Word Problem

20

A company purchases baseball gloves at $19.50 apiece and marks them up 4 times. What is their profit margin if they purchased 1500 gloves and incur selling and administrative costs of $62,000?

a.) 17%

b.) 22%

c.) 25%

d.) 44%

Word Problem

21

Airtime for the average 30-second commercial costs $200,000. However, time on a highly-rated show can cost as much as $450,000. Which represents the difference between the costs of the average time slot and a slot on a highly-rated show?

a.) 125%

b.) 200%

c.) 225%

d.) 250%

Word Problem

22

60% of the total retail dollars spent on athletic shoes are spent on the top 5 brands. Sales of the second best-selling brand represent 21.67% of that total. What is the market share of the second best-selling brand?

a.) 13%

b.) 16%

c.) 22%

d.) 34%

Word Problem

23

A retailer using a product line pricing strategy marks up different models of tennis rackets at different rates. What is the average markup if some are marked up 20%, some 40%, and some 75%?

a.) 35%

b.) 40%

c.) 45%

d.) 50%

Word Problem

24

If a company reports a 16% net profit on sales of $3.4 million in 2004, how much were expenses in 2004?

a.) $2,856,000 b.) $544,000

c.) $1,600,000

d.) $3,944,000

Word Problem

25

Sheila makes $40,000 per year and spends $50 per month for a gym membership. What percentage of her income does she spend on her gym membership?

a.) 0.015%

b.) 0.15%

c.) 1.5%

d.) 15%

Word Problem

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Data Analysis

A. 11.8B. 12C. 15D. 17

Life Expectancy of Animals

In the Wild Life Expectancy

In Captivity Life Expectancy

Lion 15 Cat 12

Deer 8 Cow 15

Elephant 38 Dog 12

Fox 7 Lion 17

Mouse 3 Mouse 3

What is the mode life expectancy of animals in captivity? Refer to the table below

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Data Analysis

A. 2

B. 13

C. 35

D. 38

In the Wild Life Expectancy

In Captivity Life Expectancy

Lion 15 Cat 12

Deer 8 Cow 15

Elephant 38 Dog 12

Fox 7 Lion 17

Mouse 3 Mouse 3

Life Expectancy of Animals

What is the range of all the animal life expectancies? Refer to the chart below:

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Word Problem

Brian drives a taxi cab. His company charges $2.50 and 28 cents per mile driven. A passenger wants to know how many miles Brian will drive him if he has $10.00. Which algebraic expression can help Brian determine how far he can drive the customer for $10.00?

A. 0.28(2.50 + x) = 10.00B. 10.00 - 2.50-0.28x = yC. 10.00 - 2.50 + 0.28 = xD. 2.50 + 0.28x = 10.00

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Simplify Expression and Solve

Which algebraic equation corresponds to the problem below?

One number is 6 greater than another number. The sum of two numbers is 38. Find the number

A. X + 6 + 38

B. 2x + 6 + 38

C. X(6 + x) = 38

D. 2x = 38

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Ratios and Proportions

Victor notices that a bathtub holds 34 gallons and takes 8 minutes to fill. How many gallons will be in the bathtub after 5 minutes?

A. 8.4 gallons

B. 17 gallons

C. 21.25 gallons

D. 24.75 gallons

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Ratios and Proportions

A market research company found that 2 out of 15 parents of new born babies use Snuggies Diapers. If 840 babies were born in a large city one month, how many of those babies could we expect to use Snuggies Diapers?

A. 28

B. 56

C. 112

D. 340

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Proportions

Henry has a picture that measures 4 inches in width and 6 inches in length. If Henry enlarges the picture to make a poster that measures 2 feet in width, how long will the poster be?

A. 8 inches

B. 12 inches

C. 24 inches

D. 36 inches

33

Volume

What would be the best metric unit to use to measure the length of a building

A. Centimeters

B. Millimeters

C. Meters

D. Kilometers

34

Percentages

What is 35% of 80?

35

Percentages

Suppose a certain item used to sell for seventy-five cents a pound, you see that it's been marked up to eighty-one cents a pound. What is the percent increase?

Hint: Step 1. Find the difference

Step 2. Find the % increase over the original price.

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Percentage / Mark up

A computer software retailer used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.

Hint: Step 1 Find the mark up value.Step 2 Add the mark up value to the original price.

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Mean

Find the mean for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13

38

Median

Find the median for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

39

Order of Operations

Given a = -4, b = 2, and c = 3, evaluate the expression below:

C2 – b + a =

Hint: Use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

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Percentages / Mark up

A golf shop pays its wholesaler $40 for a certain club, and then sells it to a golfer for $75. What is the markup

rate? Hint: Step 1 Find the difference

Step 2 Find the % using the difference over the wholesale amount

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Percentages / Sales Price

A. An item originally priced at $55 is marked 25% off. What is the sale price? $13.75$30.00$41.25$45.00

42

Algebra Equation

Solve the equation:x + 6 = 2x + 5

Hint: combine like terms, then solve and simplify.

43

Algebra: Multiplying Monomials

Solve the following problem:

X2 . X4 =

Hint: Add the exponents and solve.

44

Algebra Equation: Find the missing number

James has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the minimum grade he must get on the last test in order to achieve that average?

45

Data AnalysisCars Top Take off speed in

60 seconds

Corvette 45 mph

Mercedes 500 50 mph

Porsche Boxer 60 mph

Ferrari 55 mph

Ford Mustang 40 mph

BMW 525 45 mph

Using the chart above, how many cars have a take off speed greater than 50mph?

A. 3

B. 2

C. 4

D. 5

46

Jerry's Expenses

Electrical Expense, 40%

Healthcare Expense, 20%

Other, 10%

Miscellaneous Expense, 30% Electrical Expense

Healthcare Expense

Other

Miscellaneous Expense

What percent of the expenses is not used for Healthcare Expenses?

A. 20%

B. 25%

C. 80%

D. 90%

Data Analysis

47

Geometry

Formula Area of Rectangle A=base x height: What is the area of a rectangle, with a

base measuring 4 feet and a height measuring 6 feet.

48

Estimation

Which metric system would you use to a classroom

A. Centimeters

B. Meters

C. Decameters

D. Kilometers

49

Geometry: Volumeπ is Pi, approximately 3.14r is the radius of the circular end of the cylinderh height of the cylinder

What is the volume of a can of tomato soup if the height is 14.2 And the radius is 5.0

Hint: Use the formula below:

50

Geometry: Vocabulary

The above lines are considered:

a. Collinearb. Skewc. Curvedd. Parallel

51

Multiplication

Complete the following.

A. 10 x 76 = ________________B. 45 x 100 = ________________C. 607 X 1000 = ______________D. 200 X 500 = _______________

52

Geometry: Find the PerimeterA rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the perimeter.

Hint: take the sum of the length of each side.

53

Geometry: Area of a Circle

The radius of a circle is 3 inches. What is the area?

Hint: Pi = 3.14 Use the formula below:

54

Geometry: Circumference

The radius of a circle is 2 inches. What is the circumference?

Hint: Step 1. Find the diameter d = 2 * r Step 2. Use 3.14 for πStep 3.

55

Algebra: Factor Tree

Example:

Using the above example, create a factor tree for the number 50.

56

Use the pictograph to find the total number of apples stored in the supermarket.

Data Analysis

A. 150B. 120C. 140D. 200

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1. How many stuffed animals does Juan have? __________2. How many stuffed animals does Mary have? __________

Bobby

Mary

Juan

= 2 stuffed animals

Data Analysis

58

Data Analysis

Year Customers

2006

2007

2008

2009

French's Restaurant opened in 2006. The pictograph above shows how many customers they have had each year since they opened.

How many customers did they have in 2008?

= 1000

59

Geometry:Perimeter of a Triangle

Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters

and 11 centimeters

Hint: take the sum of the length of each side.

60

Algebra: Factoring

Factor the expression below:

X² + 12X + 36

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x2 - 25

Algebra: Factoring

62

Algebra: Factoring


y2 + 14y + 49

63

Algebra: Factoring


3z2 - 2z

64

Algebra: Factoring


c3 – 27

65

Algebra: Factoring


p2 - 7p + 12

66

Algebra: Factoring


X 2 - 13x + 42

67

Algebra: Equations

Solve the equation below:

X +2 = 6

68

Algebra: Factoring


x2 + 2x - 35

69

Algebra: Equations


100 – X = 30

70

Algebra: Equations


10 – X = 6

71

Algebra: Equations


X + 17 = 34

72

Algebra: Equations


X÷ 5 = 5

73

Algebra: Square roots

Find the square root of the following:

4²

74



5³

75



9²

76



8³

77



7²

78



3³

79



10²

80



15³

81

Data Analysis

The number 212-998-3498 is most likely a

A. Date

B. Phone number

C. Social security number

D. Zipcode

82

Numbers & Computation

Understanding word problems

If Jane earned $825.00 a month and makes a monthly car payment of $250.00, which operation should she use to find out how much money she has left after paying her car note?

A. Addition

B. Subtraction

C. Multiplication

D. Division

83

Understanding word problems

Carlos wrote 3 checks from his checking account last week. He needs to figure out how much he has remaining in his checking account. What would be the most appropriate method for him to use?

A. Estimation

B. Paper and pencil

C. Calculator

D. Mental computation


84


Order of OperationsSolve the following:

52 + 10 – 3(2 + 3 X 4) – 1 =

A. -8B. -26C. -38D. 557

Hint: Use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, & Subtraction)

85


Which object is most lid a sphere?

A. Football

B. Textbook

C. Basketball

D. Picture frame

86


Identify the shape below:

A. TriangleB. CircleC. HexagonD. Pentagon

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A. Equilateral TriangleB. Right TriangleC. Scalene TriangleD. Isosceles Triangle

88



A. Line SegmentB. Intersecting Line SegmentC. Parallel Line SegmentD. Perpendicular Line Segment

89



A. Obtuse angleB. Acute angleC. Right angleD. Parallel angle

90



A. PointB. ChordC. LineD. Vertex

1 the president of a company makes $123,000 a year. the five vice presidents do not all make the...

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