Questions

Factors and Powers

1) What is the value of five raised to the fourth power?

a.) 20

b.) 25

c.) 125

d.) 625

2) The volume of a cube (V = l w h), with edges that measure 11 units, is a model of what power?

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Prime and Composite Numbers

3) List all of the prime numbers less than 100. There are 25 primes less than 100. In the content area listed under “Review Worksheets”, there is worksheet titled “Find Prime Numbers Less Than 100”. The worksheet is interactive so it is not necessary to print it. Just follow the instructions given with the worksheet and once the activity is completed, the remaining numbers that have not been crossed out should be the 25 prime numbers less than 100.

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4) Explain why 25 is considered to be a composite number.

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Prime Factorization

5) The following prime factorization is equal to what number: 2 x 2 x 3 x 11?

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6) Use the factor tree below to answer the following questions: (a) What is the value of A? (b) What is the value of B? (c) What is the value of C?

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7) What is the prime factorization of 36?

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8) What is the prime factorization of 84?

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Perfect Squares and Square Roots

9) Evaluate.

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10) For the following problem, Brandon determined the answer was 46. What did he do wrong and what should the correct answer be?

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11) Evaluate.

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12) Find the square root.

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13) Find the square root.

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14) Find the square root.

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15) Find the square root. State the answer as a fraction.

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Approximating Square Roots of Non-perfect Squares

16) Solve by stating two whole numbers less than 10.

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17) Find the square root, to the nearest TENTH, using approximation.

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18) Find the square root, to the nearest TENTH, using approximation.

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19) Find the square root, to the nearest HUNDREDTH, using approximation.

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Products of Powers

20) Evaluate. State the letter of the correct answer.

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21) Evaluate. State the letter of the correct answer.

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Power to a Power

22) Evaluate.

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23) Evaluate.

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24) Evaluate.

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Quotients of Powers

25) Evaluate. State the answer as a whole number.

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26) Evaluate. State the answer as a whole number.

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Negative Exponents

27) Write without negative exponents. State the letter of the correct answer.

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28) Evaluate. State the letter of the correct answer.

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29) Evaluate. State the letter of the correct answer.

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Zero as an Exponent

30) Evaluate.

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Applications

31) Name the first prime number larger than 1000.

a.) 1008

b.) 1009

c.) 1010

d.) 1011

32) If a = 6 miles and b = 11 miles, use the formula below to approximate the direct distance between the planes. Round the answer to the nearest hundredth.

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33) The Giant Drop, in Australia, is the tallest free-falling ride in the world according to the Guinness Book of World Records (March 7, 2006). It is 120 meters tall. Use the given equation and conversion factor to approximate the time (seconds) that it takes the dropped object to fall a distance of 120 meters. Solve for "t". Round the answer to the nearest whole second.

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