Math Test 3

1. If the pattern of dots shown above is continued so that each row after Row One contains 1 dot more than the row immediately above it, which row will contain 12 dots?

A. SevenB. EightC. NineD. TenE. Twelve

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2. Each of Steve's buckets has a capacity of 11 gallons, while each of Mark's buckets can hold 8 gallons. How much more water in gallons can 7 of Steve's bucket's hold compared to 7 of Mark's buckets?

A. 3B. 7C. 21D. 24E. 56

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3. Two integers have a sum of 42 and a difference of 22. The greater of the two integers is

A. 22B. 25C. 28D. 31E. 32

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4. The average of five numbers is 34. If three of the numbers are 28, 30 and 32, what is the average of the other two?

A. 40B. 50C. 60D. 70E. 80

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5. In the figure above, what is the value of x?

A. 30B. 40C. 50D. 80E. 100

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6. In a certain cake, two straight cuts (made along two different radii) succeed in removing 4/15 of the total cake. What is the central angle in degrees of the piece cut?

A. 26B. 60C. 85D. 92E. 96

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7. If an equilateral triangle and a square have the same perimeter, what is the ratio of the length of the sides of the equilateral triangle to the lengths of the sides of the square?

A. 3:4B. 4:3C. 1:4D. 1:3E. 3:1

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8. If 2 and 4 each divide q without remainder, which of the following must q divide without remainder.

A. 1B. 2C. 4D. 8E. It cannot be determined from the information given.

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9. The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many people were there in the classroom?

A. 15B. 25C. 30D. 45E. 75

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10. Let xy = z, where x,y,z and nonzero numbers. If x is multiplied by 3 and z is divided by 3, this is equivalent to multiplying y by

A. 1/9B. 1/3C. 1D. 3E. 9

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11. If 5x = 3, then (5x + 3) =

A. 0B. 9C. 18D. 36E. 81

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12. If the postal charges for a package are 62 cents for the first five ounces and 8 cents for each additional ounce, what is the weight of a package for which the charges are $1.66? (Assume there are 16 ounces in one pound)

A. 1.05 poundsB. 1.1 poundsC. 1.125 poundsD. 1.25 poundsE. 1.5 pounds

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13. If m/n = .75, then what is 3m + 2n?

A. 0B. 8C. 14D. 17E. 24

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14. Which is greater? Column A (10/4) / (3/2) * (3/7), Column B (3/4) * (10/7) / (3/2)

A. if the quantity in Column A is greaterB. if the quantity in Column B is greaterC. if the two quantities are equalD. if there is no relationship between these two quantitiesE. if the relationship cannot be determined from the information given

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15. Which of the following has a graph that is symmetric to the x-axis

A. y = xB. y = x2 + 3C. y2 = xD. y = x3 xE. y != x

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16. The prime factors of 96 are:

A. 2 and 3B. 6 and 8C. 2, 3 and 4D. 8 and 12E. 3 and 9

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17. 8 are what percent of the 6?

A. 1.25B. 75C. 125D. 133.333E. 150

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18. 2- 3 =

A. -8B. 8C. -6D. -1/8E. 1/8

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19. If x + 1 < 3x + 5, then

A. X > -2B. x < -2C. x = 0D. x < 2E. x > 2

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20. Which of the numbers cannot be represented by a repeating decimal?

A. 11/9B. 23/7C. 3D. 4 1/3E. 2

Answer with Explanation

Answer Sheet1DExplanation11DExplanation2CExplanation12CExplanation3EExplanation13DExplanation4AExplanation14CExplanation5BExplanation15CExplanation6EExplanation16AExplanation7BExplanation17DExplanation8EExplanation18EExplanation9AExplanation19AExplanation10AExplanation20CExplanation- See more at: http://ntspapers.com/NTS-Test-3/NTS-Test-3-Math.aspx#sthash.7w9PPRgD.dpuf