Questions

Fractions to Decimals and Vice Versa

1) What is the decimal for the fraction 5/8?

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2) What is the decimal for the fraction 8/9? Round the answer to the nearest hundredth.

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3) What is the decimal for the fraction 27/40?

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4) Write the fraction 14/42 in simplified form.

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5) Write the fraction 18/45 in simplified form

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6) Write the simplified fraction for 0.16.

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7) Write the simplified fraction for 0.375.

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8) Write the simplified fraction for 0.085.

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Ratios and Proportions

9) Express the ratio 18:30 in lowest terms.

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10) Express the ratio 8:12 in lowest terms.

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The container holds 15 marbles: 5 red marbles, 4 green marbles, 4 blue marbles, and 2 yellow marbles. Refer to the figure to answer the next four problems.

11) What is the ratio of yellow marbles to green marbles? Express the ratio in lowest terms. State the letter of the correct answer.

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12) What is the ratio of red marbles to blue marbles? State the letter of the correct answer.

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13) What is the ratio of all the marbles to yellow marbles? State the letter of the correct answer.

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14) What is the ratio of red marbles to all marbles? Express the ratio in lowest terms. State the letter of the correct answer.

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15) Solve the proportion for “x”.

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16) Solve the proportion for “y”.

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17) Solve the proportion for “m”.

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18) Joyce is making cookies. The recipe calls for 1.25 cups of sugar to make one dozen cookies. How many cups of sugar will she need to make three dozen cookies?

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19) If three music CDs cost $34.99, what is the cost of 8 CDs? State the answer and write a proportion that could be used to solve the problem. Round the answer to the nearest cent.

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20) The Senior class held an election for class president. Pamela received three (3) votes for every two (2) votes Angela received. Pamela received 69 votes. How many votes did Angela receive? State the answer and write a proportion that could be used to solve the problem.

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Introduction to Percent

The grid for the next three problems measures 10 units by 10 units; thus, the whole grid has 100 squares in it. Each square represents one percent of the whole square block.

21) What percent of the grid is shaded green?

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22) What percent of the grid is shaded orange?

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23) What percent of the grid is shaded purple?

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Percents, Fractions, and Decimals

24) For the percent 58%, (a) write a decimal and (b) write a fraction in lowest terms.

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25) For the fraction 3/25, (a) write a percent and (b) write a decimal.

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26) For the decimal 0.09, (a) write a fraction and (b) write a percent.

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27) For the percent 82%, (a) write a decimal and (b) write a fraction in lowest terms.

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28) Write a decimal for 16%.

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29) Write a decimal for 3.8%.

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30) Write a decimal for 0.4%.

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31) Write a decimal for 150%.

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32) Write a whole number for 100%.

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33) Write a percent for 0.659.

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34) Write a percent for the whole number 2.

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35) Write a percent for 0.059.

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36) Write a percent for 0.7.

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37) Write a percent for 0.005.

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The Three Basic Types of Percent Problems

38) What is 20% of 96?

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39) What is 3% of 47?

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40) What is 75% of 12?

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41) One hundred forty (140) is what percent of 175?

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42) Fifteen is what percent of 50?

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43) One hundred twenty-five (125) is 20% of what number?

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44) Two hundred ninety-seven (297) is 33% of what number?

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45) One hundred seventy-six (176) is 22% of what number?

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46) A music store held a one-day sale and everything in the store was 33 percent off. Jennifer bought some music CDs. The prices before the discount were $9.99, $14.99, and $19.99. What was the total discount? Round the answer to the nearest cent.

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47) The Johnson’s went to dinner at the local family restaurant. The family meal totaled $45.29. The family left the waitress a standard 15% tip for good service. How much was the tip? Round the answer to the nearest cent.

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48) In the previous problem, if Mr. Johnson just had dollars and quarters to leave for a tip, how many dollars and how many quarters should he leave as a tip?

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49) A real-estate agent receives a 3.5% commission for each house she sells. Last month she received a commission of $4,725 for selling one house. What was the price of the house?

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