# Various Mathematic problem

1. A plate glass window measures 5 ft by 8 ft. If glass costs $6 per square foot, how much will it cost to replace the window?

A) $78

B) $1,440

C) $240

D) $480

2. A bedroom is 10 ft by 11 ft. What is its perimeter?

A) 21 ft

B) 110 ft

C) 42 ft

D) 55 ft

3. Turner agrees to buy a boat for $2,800 down and $129 a month for 48 months. What is the total cost of the boat?

A) $8,560

B) $6,472

C) $8,992

D) $6,192

4. Perform the indicated addition.

A) 3,181

B) 3,191

C) 3,291

D) 3,301

5. A shipping container is 6 ft by 5 ft by 4 ft. What is its volume?

A) 15 ft3

B) 74 ft3

C) 148 ft3

D) 120 ft3

6. Choose the correct list of the factors of the number 70.

A) 2, 5, 7, 10, 14, and 35

B) 1, 2, 5, 7, 10, 14, 35, and 70

C) 1, 2, 5, 14, 35, and 70

D) 1, 5, 7, 10, 14, and 70

7. Prime numbers that differ by 2 are called twin primes. Examples are 3 and 5, 5 and 7, and so on. Which pair of numbers are twin primes?

A) 109 and 111

B) 61 and 63

C) 13 and 15

D) 41 and 43

8. Choose the correct greatest common factor of 42 and 98.

A) 28

B) 13

C) 6

D) 14

9. Multiply Write your answer in simplest form.

A)

B)

C)

D)

10. Choose the correct greatest common factor of 98, 154, and 539.

A) 2

B) 11

C) 7

D) 14

11. Subtract. Write the answer in lowest terms.

A)

B)

C)

D)

12. Sheila practiced hours Monday, hours Tuesday, and hours Wednesday. What is the total number of hours that she practiced?

A) hours

B) 6 hours

C) hours

D) hours

13. Find the least common multiple of 12 and 18.

A) 6

B) 18

C) 24

D) 36

14. Four buttons have diameters of , , , and inches. Which button is smallest?

A)

B)

C)

D)

15. Vivian needs yards of string for one project and yards of string for a second project. What is the total amount of string needed?

A) yd

B) yd

C) yd

D) yd

16. You make charges of $42.35, $9.87, and $54.89 on a credit card. If you make a payment of $81.50, how much do you still owe?

A) $25.61

B) $107.11

C) $81.50

D) $39.15

17. Flor is putting a fence around a field. The field is rectangular and measures 9.84 yards (yd) long and 16.69 yd wide. How much fence must Flor purchase?

A) 26.53 yd

B) 36.37 yd

C) 53.06 yd

D) 43.22 yd

18. A circular path around a lake has a diameter of 2,000 feet (ft). Pranotti jogs around the path 5 times for her morning run. How far does she run? Use 3.14 for and round your answer to the nearest foot.

A) 31,400

B) 62,800

C) 12,560

D) 20,000

19. Complete the statement, using the symbol < or >.

0.563

A) <

B) >

20. Jacque earns $7.20 per hour (h). For overtime (each hour over 40 h) he earns $10.80 per h. If he works 47.5 h in a week, what pay should he receive?

A) $486.00

B) $513.00

C) $342.00

D) $369.00

21. Write the ratio of 3 nickels to 3 quarters in simplest form.

A)

B)

C)

D)

22. Find the best buy on cashews (1 lb is 16 oz).

A) 10 oz for $4.99

B) 12 oz for $5.49

C) 1 lb for $6.49

D) 1 lb 4 oz for $7.49

23. Which rates are not equivalent?

A)

B)

C)

D)

24. Which pair of fractions is proportional?

A)

B)

C)

D)

25. A baseball team wins 11 of its 25 games with no ties. Write the ratio of wins to losses.

A)

B)

C)

D)

26. 57.5 is 23% of what number?

A) 13.225

B) 1,087

C) 250

D) 625

27. Estimate:

What is 58.9% of 2,100?

A) 12,600

B) 126,000

C) 1,260

D) 126

28. Find 60% of 3,200.

A) 192

B) 1,920

C) 1,280

D) 128

29. Estimate 121% of 600.

A) 75

B) 750

C) 72

D) 720

30. Roberto has 22% of his pay withheld for deductions. If he earns $680 per week, what amount is withheld?

A) $136.00

B) $189.20

C) $149.60

D) $14.96

31. 97.3 is 7% of what number?

A) 681.1

B) 1,390

C) 6.811

D) 139

32. Complete the statement.

13 oz = ________ g

A) 364

B) 390

C) 360

D) 156

33. Which two triangles are similar?

A) (b) and (c)

B) (a) and (b)

C) (a) and (c)

34. The two triangles are similar.

Find g.

A) 22

B) 22.5

C) 24

D) 22.75

35. mB  12

Find the supplement of B.

A) 108

B) 192

C) 78

D) 168

36. Find the square root.

A) 7

B) 8

C) 9

D) 10

37. Find the missing angle.

A) 84

B) 29

C) 27

D) 31

Use the following to answer question 38:

38. Use the world population and land area table. Round the answer to the nearest tenth of a percent.

What was the percent increase in population in Oceana from 1900 to 1950?

A) 166.7%

B) 433.3%

C) 3.6%

D) 100.0%

39. Find the median of the following set of numbers.

45, 14, 56, 14, 66, 64

A)

B) 45

C)

D) 56

Use the following to answer question 40:

40. The pie chart shows the distribution of a person's total yearly income of $36,000. Find the amount budgeted for utilities.

A) $2,880

B) $4,320

C) $1,800

D) $3,600

Use the following to answer question 41:

41. Use the bar graph, showing the attendance at a circus for 7 days in September, to find the median attendance over the 7 days.

A) 5,600

B) 4,800

C) 4,000

D) 3,200

Use the following to answer question 42:

42. Use the world population and land area table.

What was the mean population of all inhabited areas except Asia in 2000?

A) 193,000,000

B) 450,200,000

C) 510,000,000

D) 133,600,000

43. Find the five-number summary of the following set of numbers.

0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27

A) 0.08, 0.18, 0.225, 0.27, 0.28

B) 0.08, 0.16, 0.23, 0.28, 0.32

C) 0.08, 0.18, 0.235, 0.27, 0.32

D) 0.08, 0.18, 0.223, 0.27, 0.32

44. Add

A)

B)

C)

D)

45. Subtract

A)

B)

C)

D) 0

46. Find the reciprocal of

A)

B)

C)

D)

47. Evaluate

A) -18

B) -130

C) 18

D) 130

48. Find the reciprocal of

A)

B)

C)

D)

49. Multiply

A) 6

B) 6

C)

D)

50. Perform the indicated operation.

A)

B) 209

C)

D) Undefined

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Various Mathematics Problems

Please show the work on the answers asked.

1 - If during an election there were 6372 registered voters and 3560 registered voters voted, what percentage of the registered voters actually cast a vote? If there were 10,000 people in the district, what percent of the population voted in the election? What percent of the population registered to vote?

2 - A certain ball, when dropped from any height, bounces one-half the original height. If it were dropped from 80 feet and allowed to bounce freely, what was the total distance it traveled when it hit the ground for the third time?

3 - The number of cows owned by farmer Smith is the number of cows owned by farmer Thompson divided by the number of cows owned by farmer Jones. If Farmer Thompson, who owns 42 cows, had 14 cows, he would own 8 times as many cows as farmer Jones .How many cows does each farmer own?

4 - Tonya sold 160 sandwiches for $2.00 each. Each sandwich consisted of 4 ounces of ham, two slices of bread, and mustard. She paid $3.00/lb for the ham, $0.60/loaf for the bread (20 slices/ loaf) and used 8 jars of mustard at 50 cents each. How much profit did Latoya make (no partial Credit0?

5 - A typical children's aspirin contains 81 milligrams (mg) of acetylsalicylic acid as the active ingredient. Let's say you needed to give your daughter an 81 mg dosage, but you only had adult strength (500 mg) aspirin tablets available. You fully dissolved the adult strength aspiring tablet in 8 fluids ounces of water. How many ounces of the aspirin solution should you give your daughter to safely deliver the correct 81 mg dosage she needs?

6 - If you filled a 300-gallon tank to 80% of its capacity with water, how many gallons of water would be present in the tank? How many tons of water is in the tank if the water has a density of 2.20x 10e-3 pounds per 2.64 x 10e-4 gallons? If the bottom of the tank was five foot by five foot square, what would be the pressure exerted by the water on the bottom of the tank( assume that the entire mass of the water is pressing only on the bottom of the tank) in pounds per square inch psi)?

7 - The purchase price for a house you want is $200,000.00.The bank requires you to make a down payment on the house equal to 20% of the purchase price.

a. How much money do you need for a down payment?

b. How much money is the bank lending you to purchase the house?

c. Assume you take out what is called an interest only loan that requires you to pay 6% of the bank-financed amount each year for 5 years. If you interest only payment are spread out evenly over the 5 years, how much will your monthly payment be?

d. How much interest will you pay the bank over the 5 - year period?

e. How much will you still owe the bank, on the original amount financed after 5 years?

8 - Write the name of the noble gas that does not have 8 valance electrons.

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