Name GREEN SKILL DRILL 1 - Amazon S3

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GREEN SKILL DRILL 1

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1) Express as a common fraction: 2 1 ? 7 1

22

2 2) Express 6 as a common fraction in lowest terms.

7

3)

Find the number which appears

1 4

the way from 2 to 14 on the number line.

4) Express in simplest form:

4!

5)

If

V

=

1 3

r 2h

,

find

V

when

r =6

and

h=2.

6) Find 5 to the nearest tenth.

7) Find the sum:

25 + 26 + 27 + ... +100

8) 6 is 25% of what number?

9) Find the distance between points with coordinates (0, 0) and (5, 12).

10) Each morning a boy chooses his own type of cereal and eggs for breakfast. If he has three types of cereal and four types of eggs from which to choose, how many different breakfasts can he choose?

11) Write the decimal equivalent of

3 11

.

12) Write the common fraction which names the same number as .8 .

13) If x = 2 , express 1 as a mixed number.

3

x

14) Find all values of n for which the following is true:

n+3 =8

15) What percent of the first 10 positive integers are prime?

16) Express the base ten numeral 26 as a base three numeral.

17) Find the units digit of 78 .

18) Find the number of square units in the area of the circle shown.

8

19) Find the area of the parallelogram ABCD shown.

B

8

C

4

A

D

20) What is the number of inches in the perimeter of regular pentagon with side length 2.5 inches?

Answers 1. __________ 2. __________ 3. __________ 4. __________ 5. __________ 6. __________ 7. __________ 8. __________ 9. __________ 10. _________ 11. _________ 12. _________ 13. _________ 14. _________ 15. _________ 16. _________ 17. _________ 18. _________ 19. _________ 20. _________

GREEN SKILL DRILL 2

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1) Express as a mixed number:

2) Express in simplest form:

( ) 2 2 1 + 1 1

32 4

4 of 75

5

3) Find the arithmetic mean of 36, 44, 41, 70, 39, 10.

4) Round to the nearest hundred: 3592

5) Write in simplest form:

196

6) Find the opposite of ?3. 7) Express in simplest form:

-6 ? 2 3

8) Of the 24 members of a class, 25% are seniors. How many are not seniors?

9) If a car traveled 78 miles in 3 hours, what was the average rate of speed in miles per hour?

10) Express in scientific notation: 3600

11) Write the decimal equivalent of 6%. 12) Evaluate the expression if x = 2 and y = 3 :

xy - 2 ? x y + y

13) Express in simplest form:

6 - 2

14) Find all values of x for which the following is true: 5x = 20

6

15) Find the greatest common factor of 12 and 64.

16) Express 26 as the product of primes.

17) Find the number of degrees in the measure of BCD .

B

80o

60o

A

C

D

18) What is the number of square cm in the area of the trapezoid shown:

6 cm

4 cm

12 cm

19) If mB = 60 in right triangle ABC, and BC = 3 , find AC.

B 60o

A

C

20) In how many different ways can a 3-person committee be selected from 6?

Answers 1. __________ 2. __________ 3. __________ 4. __________ 5. __________ 6. __________ 7. __________ 8. __________ 9. __________ 10. _________ 11. _________ 12. _________ 13. _________ 14. _________ 15. _________ 16. _________ 17. _________ 18. _________ 19. _________ 20. _________

GREEN SKILL DRILL 3

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1) Express as a mixed number in simplest form:

2) Express in simplest form:

2

1 2

+

3

2 3

60% of 300

3) Find the median of the scores: 4) Round to the nearest thousandth: 5) Express in simplest form:

26, 38, 54, 35, 27 3.60209

12 3

6) What percent of the first 100 positive integers are multiples of 5?

7) Last week a sweater was priced at $36. If the price was reduced 10% this week, how many dollars was its price after reduction?

8) Find AB.

B

21

A

28

C

9) A car is traveling 50 miles per hour. What is its speed in feet per minute?

10) Express

5 16

as a decimal.

11) What is the number of cubic inches in the volume of a sphere of radius 3 inches?

12) Evaluate: 13) If a#b = 3a + 2b, find 5#6.

6m + 2

if

m =

2 3

14) Find all values of x for which the following is true: 15) Find the least common multiple of 18 and 12.

x = 26

3

16) How many positive integral factors does 45 have?

17) What is the smallest prime number greater than 50?

18) Find the number of square units in the area of a triangle with coordinate plane vertices of (2, 3), (2, 8) and (10, 3).

19) Given:

BC || DE AB = 2 BD = 4 AC = 3 Find CE.

A

B

C

D

E

20) If the area of rectangle ABCD is 24, find the area of ABD .

B

C

Answers 1. __________ 2. __________ 3. __________ 4. __________ 5. __________ 6. __________ 7. __________ 8. __________ 9. __________ 10. _________ 11. _________ 12. _________ 13. _________ 14. _________ 15. _________ 16. _________ 17. _________ 18. _________ 19. _________ 20. _________

A

D

GREEN SKILL DRILL 4

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1) Express as a mixed number:

41 -23

84

2) Which is greater?

21 or 12

23 13

3) Express the product 2.11.01 as a decimal number.

4) Write as a decimal number:

0.12 x 103

5) Express as a common fraction: 16

25

6) Evaluate the sum:

1 + 2 + 3 + ... + 24

7) What is the number of dollars in simple interest earned on $1000 invested at 6% annual interest for 2 years?

8) Find AC in the right triangle below:

C

2

A

6

B

9) A pair of dice is tossed. What is the probability that the sum of the numbers on the faces is 3? Express your answer as a common fraction.

10) Write the decimal equivalent of

3 16

.

11) Write the

common fraction

equivalent

to

2

1 2

%

.

12) If x = 4 and y = 3 , find x y .

13) If f (x) = 2x + 3 , find f (4) .

14) Find all values of n which satisfy the following:

30 n

=

6 14

15) What is the greatest common factor of 24, 54, and 72?

16) Express as a base ten numeral:

238

17) What is the number of degrees in the sum of the measures of the interior angles of a regular pentagon?

18) Find the area of the semicircle with radius 10.

10

A

B

C

19) What is the number of square cm in the surface area of a rectangular solid with dimensions 2cm, 3cm, and 4cm?

20) A rectangle with area 36 square cm has one side of length 12 cm. Find the number of cm in the length of an adjacent side.

Answers 1. __________ 2. __________ 3. __________ 4. __________ 5. __________ 6. __________ 7. __________ 8. __________ 9. __________ 10. _________ 11. _________ 12. _________ 13. _________ 14. _________ 15. _________ 16. _________ 17. _________ 18. _________ 19. _________ 20. _________

GREEN SKILL DRILL 5

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1) Find the sum of 18.1, 7.56 and 0.97. Express your answer as a decimal.

2) Simplify:

( ) 6

3

1 2

+

2

1 3

3) Find the greatest common factor of 36 and 48.

4) Solve for N if 2(N + 3) = 3(N - 5) .

5)

Find

41 %

2

of 500.

Express your answer as a decimal.

6) Evaluate 3x 2 + y if x = 2 and y = 5 .

7) Which is closer to 156, 122 or 132 ?

8) Find the median of the set of data:

65, 90, 73, 78, 82, 80, 95, 100

9) Find the number of square cm in the area of a trapezoid whose parallel sides measure 6 cm and 12 cm and whose height is 8 cm?

10) The height of a cylinder is 12 cm and its radius is 5 cm. How many liters will it hold? (Use 3.14 as an approximation for and express your answer as a decimal.)

11) Write 3700 divided by 0.00185 in scientific notation.

12) Eight students advance to the second round of competition in a contest in which exactly the top 5% were permitted to advance. How many students participated in the contest?

13) The measures of the angles of triangle are in the ratio of 5:6:7. Find the number of degrees in the largest of the angles.

14) A recipe calls for 2 tablespoons of sugar and 3 cups of flour. If you use 5 cups of flour, how many teaspoons of sugar should you use? (1 tablespoon = 3 teaspoons)

15) Find the number of cubic centimeters in the volume of a cylinder whose height is 20 cm and whose radius is 6 cm. (Use 3.14 as an approximation for and express your answer as a decimal.)

16) Find the mode of the set of data:

3.6, 4.2, 3.8, 5.2, 5.8, 4.2, 6.2, 4.6

17) Find all values of x which satisfy the following inequality:

5x - 2 18

18) Round the product of 5.37 and 9.67 to the nearest hundredth.

19) Write 0.76 as a common fraction.

20) Find the positive-valued difference between 9 and (1.1)2 . Express your 16 answer as a decimal.

Answers 1. __________ 2. __________ 3. __________ 4. __________ 5. __________ 6. __________ 7. __________ 8. __________ 9. __________ 10. _________ 11. _________ 12. _________ 13. _________ 14. _________ 15. _________ 16. _________ 17. _________ 18. _________ 19. _________ 20. _________

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