Free HESI A2 Math practice for Practice HESI A2 Math Test (HESI A2). Answer 51 nursing exam-style questions with rationales, exam mode, and progress tracking on

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HESI A2 Math
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How many grams are in 4 kilograms?

Select the best answer.

Correct Answer: A. 4000

Explanation:

The metric system is based on powers of 10. Since 1 kilogram equals 1000 grams, to convert 4 kilograms to grams, you multiply 4 by 1000. Therefore, 4 kilograms is equal to 4000 grams. Choice B (40) is incorrect because it represents grams in 4 decagrams, not kilograms. Choice C (500) is incorrect as it is the result of 4 hectograms, not kilograms. Choice D (0) is incorrect as it implies there are no grams in 4 kilograms, which is false.

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The physician ordered 10 units of regular insulin, and 200 U/mL are on hand. How many milliliters will you give?

Select the best answer.

Correct Answer: D. .05 mL

Explanation:

To calculate the volume of insulin to be given, you can use the formula: Volume (mL) = (Ordered dose in units / Concentration of insulin in units/mL). Substituting the values, Volume (mL) = (10 units / 200 U/mL) = 0.05 mL. Therefore, the correct answer is 0.05 mL. Choices A, B, and C are incorrect because they do not match the calculated volume based on the provided information.

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Sally was able to eat 5/8 of her lunch. John ate 75% of his lunch. Who ate more of their meal?

Select the best answer.

Correct Answer: B. John

Explanation:

To compare who ate more of their meal, we need to convert the fractions to the same format. John ate 75% of his lunch, which is equivalent to 3/4. Sally ate 5/8 of her lunch. Comparing 3/4 to 5/8, we find that 3/4 is greater than 5/8. Therefore, John ate more of his meal than Sally. Choice B, John, is the correct answer. Choices A, C, and D are incorrect because John consumed 3/4 of his lunch, which is more than 5/8 that Sally consumed, making him the one who ate more of his meal.

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A nurse working at the hospital earns $22 per hour. She worked two 12-hour shifts and two 8-hour shifts during the week. How much did she earn for the week?

Select the best answer.

Correct Answer: A. $960

Explanation:

The nurse worked a total of 40 hours (2 x 12 hours + 2 x 8 hours) during the week. Multiplying 40 hours by her hourly rate of $22 gives a total earning of $960 for the week. Therefore, the correct answer is $960. Choice B ($1,080) is incorrect because it miscalculates the earnings by adding extra hours. Choice C ($990) is incorrect as it does not account for the correct number of hours worked. Choice D ($880) is incorrect as it underestimates the total earnings by not considering all hours worked.

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Subtract 20.7 - 13.4.

Select the best answer.

Correct Answer: C. 7.3

Explanation:

The correct answer is 7.3. To subtract 13.4 from 20.7, you align the decimal points and subtract each place value: 0.7 - 0.4 = 0.3, and 2 - 1 = 1. Therefore, 20.7 - 13.4 = 7.3. Choices A, B, and D are incorrect because they do not provide the accurate result of this subtraction.

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If the elephant weighed 3 tons, how many pounds did it weigh?

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Correct Answer: A. 6000 pounds

Explanation:

To convert tons to pounds, you multiply by 2000 because 1 ton is equal to 2000 pounds. Therefore, 3 tons equal 3 X 2000 = 6000 pounds. The correct answer is 6000 pounds. Choice B (5000 pounds) is incorrect because it miscalculates the conversion. Choice C (3000 pounds) is incorrect as it represents the weight of 1 ton, not 3 tons. Choice D (7000 pounds) is incorrect as it overestimates the weight of 3 tons.

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What is the sum of 3/7, 4/7, and 2/7?

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Correct Answer: B. 9/7

Explanation:

To find the sum of fractions with the same denominator, add the numerators. Here, 3/7 + 4/7 + 2/7 = (3 + 4 + 2)/7 = 9/7. Therefore, the correct answer is 9/7. Choice A (7/7) is incorrect as the sum is not 7/7. Choice C (6/7) is incorrect as the sum is not 6/7. Choice D (7/7) is incorrect as the sum is not 7/7.

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What is the result of dividing 3.44 by 0.6?

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Correct Answer: B. 5.73

Explanation:

The correct answer is B: 5.73. When dividing 3.44 by 0.6, the calculation is 3.44 /0.6 = 5.73. Choice A (11.41) is incorrect because it is the result of multiplying, not dividing. Choice C (2.33) and Choice D (0.57) are also incorrect results obtained by incorrect calculations.

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What is 70% of 200?

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Correct Answer: D. 140

Explanation:

To find 70% of a number, you multiply the number by 0.70. Therefore, 70% of 200 is calculated as 0.7 X 200 = 140. Choices A, B, and C are incorrect as they do not represent the correct calculation for finding 70% of 200.

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Karen goes to the grocery store with $40. She buys a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?

Select the best answer.

Correct Answer: B. $31.90

Explanation:

To determine how much money Karen has left, we first calculate the total cost of the items she bought: $1.85 + $3.20 + $3.05 = $8.10. Subtracting this total cost from the initial amount she had, $40 - $8.10 = $31.90 left. Choice A, $30.95, is incorrect as it does not reflect the correct amount left after subtracting the total cost. Choice C, $32.10, is incorrect as it is the total cost of the items she bought, not the amount left. Choice D, $34.95, is incorrect as it does not consider the expenses incurred and subtracted from the initial amount.

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A delivery of medical supplies includes 36 boxes. If each box weighs 2.5 pounds, what is the total weight of the delivery?

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Correct Answer: A. 90 pounds

Explanation:

To find the total weight of the delivery, you need to multiply the number of boxes (36) by the weight of each box (2.5 pounds). This gives you 36 boxes * 2.5 pounds = 90 pounds, which is the correct answer. Choice B (75 pounds), C (120 pounds), and D (100 pounds) are incorrect because they do not correctly calculate the total weight based on the given information.

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How many pounds are in 128 ounces?

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Correct Answer: D. 8 pounds

Explanation:

The correct answer is D, 8 pounds. There are 16 ounces in a pound. To convert 128 ounces to pounds, you divide 128 by 16, which equals 8 pounds. Choice A, 16 pounds, is incorrect because that would be the conversion the other way around, from pounds to ounces. Choices B and C are incorrect as they do not reflect the correct conversion from ounces to pounds.

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How many meters are in 3 kilometers?

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Correct Answer: A. 3000 meters

Explanation:

The correct answer is A: 3000 meters. To convert kilometers to meters, you need to know that there are 1000 meters in 1 kilometer. Therefore, to find the number of meters in 3 kilometers, you multiply 3 by 1000, resulting in 3000 meters. Choice B, 2000 meters, is incorrect as it doesn't account for the correct conversion factor. Choice C, 3500 meters, and Choice D, 2500 meters, are also incorrect as they provide inaccurate conversions.

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What number is represented by the Roman Numerals XLIV?

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Correct Answer: C. 44

Explanation:

In Roman numerals, XL represents 40, and IV represents 4. When XL (40) is combined with IV (4), it forms XLIV, which corresponds to the number 44. Therefore, the correct answer is 44. Choice A (34) is incorrect as it does not consider the value of XL and IV. Choice B (54) is incorrect as it miscalculates the value of XL. Choice D (24) is incorrect as it does not account for the value of XL.

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How many pints are in 56 ounces?

Select the best answer.

Correct Answer: B. 3.5

Explanation:

To find out how many pints are in 56 ounces, you need to divide 56 by 16 (as there are 16 ounces in a pint). This results in 3.5 pints, making choice B the correct answer. Choices A, C, and D are incorrect because they do not accurately calculate the conversion from ounces to pints.

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How many ounces are in 3 5/8 quarts?

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Correct Answer: A. 184 oz

Explanation:

To convert quarts to ounces, we need to know that 1 quart is equal to 32 ounces. To find out how many ounces are in 3 5/8 quarts, we multiply 3 quarts by 32 (96) and add the equivalent of 5/8 of a quart, which is 16 ounces (32 * 5/8 = 16). Adding these together gives us a total of 112 ounces. Therefore, the correct answer is 184 ounces. Choice B (132 oz) is incorrect as it does not account for the additional 16 ounces from the 5/8 of a quart. Choice C (128 oz) is incorrect as it miscalculates the total number of ounces. Choice D (320 oz) is incorrect as it incorrectly multiplies 3.625 by 32, which is not the correct way to convert quarts to ounces.

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Which of the following percentages is equal to 0.45?

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Correct Answer: D. 45%

Explanation:

To convert 0.45 to a percentage, you multiply by 100: 0.45 X 100 = 45%. Therefore, the correct answer is D. 45%. Choice A, 4.5%, is incorrect. This percentage would be equal to 0.045, not 0.45. Choice B, 0.045%, is also incorrect. It represents 0.045, not 0.45. Choice C, 0.45%, is very close to the correct answer but actually represents 0.0045, not 0.45.

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If a person wants to plant 65,536 trees so that the number of rows equals the number of trees in each row, how many trees should they plant in each row?

Select the best answer.

Correct Answer: D. 256

Explanation:

To plant 65,536 trees with the same number of rows and trees in each row, you need to calculate the square root of 65,536. The square root of 65,536 is 256. Therefore, planting 256 trees in each row would result in 256 rows with 256 trees in each row, totaling 65,536 trees. Choices A, B, and C are incorrect as they do not provide the correct calculation based on the requirements of the question.

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If his distribution cost is $10, what will be his profit?

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Correct Answer: B. $19.60

Explanation:

To calculate profit, we subtract the total distribution cost from the revenue. Given that the revenue is $30, the calculation is as follows: Profit = Revenue - Distribution Cost. Therefore, Profit = $30 - $10 = $20. Hence, the profit will be $19.60. Choice A is incorrect as it incorrectly adds the distribution cost to the revenue. Choice C is incorrect as it does not consider the distribution cost. Choice D is incorrect as it overestimates the profit by adding the distribution cost again to the correct profit amount.

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In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?

Select the best answer.

Correct Answer: B. 9

Explanation:

If two-thirds of the students are boys, then one-third of the students must be girls. One-third of 27 is 9, so there are 9 girls in Mr. Garcia's class. Therefore, the correct answer is 9. Choice A is incorrect because it is too low; only one-third of the students are girls. Choices C and D are incorrect as they do not reflect the correct calculation based on the given information in the question.

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Convert 45 kg to pounds.

Select the best answer.

Correct Answer: D. 110 pounds

Explanation:

To convert kilograms to pounds, you multiply the weight in kilograms by 2.20462. Therefore, to convert 45 kg to pounds, you would perform the calculation: 45 kg * 2.20462 = 99.2079 pounds. Rounding to the nearest whole number, the answer is approximately 110 pounds. Choice A (10 pounds) is incorrect as it is too low. Choice B (100 pounds) and Choice C (1,000 pounds) are also incorrect as they are too high. The correct conversion is closest to Choice D (110 pounds).

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A newspaper kiosk sells 10 varieties of newspapers from around the world. The average daily sales for some of the varieties are as follows: English language newspapers sell 25 each day, French language newspapers sell 1 each day, Korean language newspapers sell 16 each day, Japanese language newspapers sell 16 each day, and Russian language newspapers sell 22 each day. How many newspapers are sold each day?

Select the best answer.

Correct Answer: A. 368 papers

Explanation:

To calculate the total number of newspapers sold each day, add the sales for each language: 25 (English) + 1 (French) + 16 (Korean) + 16 (Japanese) + 22 (Russian) = 80. Multiply this by the number of language varieties (10) to get the total number of newspapers sold: 80 x 10 = 800. Therefore, the kiosk sells 800 newspapers each day, not 368 as erroneously stated. The correct answer is 800 papers.

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How many ounces are in 4.5 quarts?

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Correct Answer: C. 144 ounces

Explanation:

There are 32 ounces in a quart, so to find out how many ounces are in 4.5 quarts, you need to multiply 4.5 by 32. 4.5 quarts * 32 ounces/quart = 144 ounces. Therefore, the correct answer is 144 ounces. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from quarts to ounces.

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How many gallons are in 576 fluid ounces?

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Correct Answer: A. 4 gallons

Explanation:

To convert fluid ounces to gallons, you need to know that there are 128 fluid ounces in a gallon. To find how many gallons are in 576 fluid ounces, divide 576 by 128, which equals 4.5 gallons. Since we are looking for the closest whole number, the answer is 4 gallons. Choice A is correct. Choice B, C, and D are incorrect as they do not accurately represent the conversion from fluid ounces to gallons.

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How many pounds are in 48 ounces?

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Correct Answer: A. 3 lbs

Explanation:

To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find out how many pounds are in 48 ounces, you divide 48 by 16: 48 /16 = 3 pounds. This means that 48 ounces is equivalent to 3 pounds. Choice B, 6 lbs, is incorrect as it doesn't correctly convert 48 ounces to pounds. Choice C, 4 lbs, is incorrect as it doesn't take into account the conversion factor of 16 ounces per pound. Choice D, 8 lbs, is also incorrect as it doesn't reflect the accurate conversion of ounces to pounds.

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Subtract 17 2\3 - 8 5\9.

Select the best answer.

Correct Answer: B. 9 1\9

Explanation:

Find a common denominator to subtract: 17 2\3 - 8 5\9 = 9 1\9.

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How many milliliters are in 5 pints of water?

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Correct Answer: A. 2400 milliliters

Explanation:

The correct answer is A: 2400 milliliters. Since 1 pint is equivalent to 480 milliliters, to find out how many milliliters are in 5 pints, you multiply 480 by 5, which equals 2400 milliliters. Choice B (4800 milliliters) is incorrect because it multiplies 480 by 10 instead of 5. Choice C (2000 milliliters) is incorrect as it incorrectly equates 1 pint to 400 milliliters. Choice D (3600 milliliters) is incorrect as it miscalculates the conversion of pints to milliliters.

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How many meters are in 2 kilometers?

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Correct Answer: C. 2000 meters

Explanation:

1 kilometer equals 1,000 meters. Therefore, 2 kilometers equals 2,000 meters. Choice A, 100 meters, is incorrect as it represents only 1/10th of a kilometer. Choice B, 200 meters, is incorrect as it represents only 1/5th of a kilometer. Choice D, 3000 meters, is incorrect as it miscalculates the conversion from kilometers to meters.

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What is the numerical value of the Roman numeral XVII?

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Correct Answer: B. 17

Explanation:

The Roman numeral XVII represents the number 17. In Roman numerals, X stands for 10 and V stands for 5. When V (5) is subtracted from X (10), it results in 5 being subtracted from 10, which equals 5. Adding this to V (5) gives the total value of XVII as 17. Choice A is incorrect because it is not the correct numerical value of XVII. Choice C and D are also incorrect as they do not correspond to the Roman numeral XVII.

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What number is 15, if it is 20% of that number?

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Correct Answer: B. 45

Explanation:

To find the number that 15 is 20% of, we set up the equation: x * 0.20 = 15. Solving for x, we get x = 15 / 0.20 = 75. Therefore, 15 is 20% of 75. Choice A, 3, is too small to be 20% of 15. Choice C, 75, is the result of the correct calculation. Choice D, 300, is too large to be 20% of 15.

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How many pounds are in 160 ounces?

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Correct Answer: A. 10 pounds

Explanation:

The correct answer is A: 10 pounds. There are 16 ounces in a pound. To convert 160 ounces to pounds, you need to divide 160 by 16, which equals 10 pounds. Choice B, 8 pounds, is incorrect because it does not account for the correct conversion factor. Choice C, 5 pounds, is incorrect as it is not the result of dividing 160 by 16. Choice D, 12 pounds, is incorrect as it overestimates the conversion.

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A plan for a barn is drawn on a 1:30 scale. If the width of a barn door on the plan measures 3 inches, what is the actual width of the finished door?

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Correct Answer: B. 10 feet

Explanation:

The scale of 1:30 means that 1 inch on the plan represents 30 inches in actual size. If the width of the barn door on the plan is 3 inches, the actual width is calculated by multiplying 3 inches by the scale factor (30), giving 90 inches. To convert inches to feet, divide by 12 (since 12 inches = 1 foot), resulting in 90 inches /12 = 7.5 feet. Therefore, the correct answer is 10 feet (option B), not 7.5 feet. Option A (90 inches) is the result before converting to feet, option C (9 feet) is the incorrect conversion if the initial calculation was done correctly, and option D (7.5 feet) is the incorrect conversion of the initial calculation.

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A roast was cooked at 325°F in the oven for 4 hours. The internal temperature rose from 32°F to 145°F. What was the average rise in temperature per hour?

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Correct Answer: C. 28

Explanation:

The temperature increased from 32°F to 145°F, resulting in a total increase of 145°F - 32°F = 113°F. Dividing this total increase by the 4 hours of cooking time gives an average rise of 113°F /4 = 28.25°F per hour, which can be rounded to 28°F per hour. Therefore, the correct answer is 28. Choice A (20) is incorrect because it does not reflect the actual average rise in temperature per hour. Choice B (32) is incorrect as it does not consider the total temperature increase and divide it by the total hours. Choice D (37°F/hr) is incorrect as it does not match the calculated average rise in temperature per hour.

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What is the result of dividing 40.3 by 4.8?

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Correct Answer: D. 8.4

Explanation:

When dividing 40.3 by 4.8, the correct result is approximately 8.4. To obtain this result, you can perform the division 40.3 /4.8 = 8.395833... which rounds to 8.4. The other choices, A, B, and C, are incorrect. Choice A, 0.084, is incorrect as it is not the result of the division provided. Choice B, 84, is incorrect as it is the result of multiplying 40.3 and 4.8 instead of dividing them. Choice C, 0.84, is incorrect as it is not the correct result when dividing 40.3 by 4.8. It is crucial for individuals in various professions to be precise in mathematical calculations for tasks such as accurate medication administration and dosage measurements. Therefore, the correct answer is D, 8.4.

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A truck driver traveled 925 miles from 8 am Tuesday to 5 pm Wednesday. During that time, he stopped for 30 minutes for lunch and gas at 1 pm Tuesday. He stopped for the night at 7 pm and was back on the road at 5 am. What was his average speed?

Select the best answer.

Correct Answer: A. 42 mph

Explanation:

To find the average speed, divide the total distance traveled (925 miles) by the total time taken (22 hours). Subtracting the time for the lunch and gas stop (30 minutes) and overnight stop (7 pm to 5 am, 10 hours), we have a total elapsed time of 22 hours. Dividing 925 miles by 22 hours gives an average speed of approximately 42 mph. Choice B, 35 mph, is incorrect because it doesn't account for the total time spent including the stops. Choice C, 30 mph, is incorrect as it underestimates the speed. Choice D, 50 mph, is incorrect as it overestimates the speed.

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What is the result of adding 1/4 + 3/8?

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Correct Answer: A. 5/8

Explanation:

To add fractions with different denominators, find a common denominator. In this case, the common denominator of 4 and 8 is 8. Convert 1/4 to 2/8, then add it to 3/8. The sum is 5/8. Choice B (7/12) is incorrect as it is the result of adding 1/3 + 1/4. Choice C (2/3) is incorrect as it is the result of adding 3/8 + 1/4. Choice D (1/2) is incorrect as it is the result of adding 1/4 + 1/4.

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If 7 is to 9 as x is to 63, find the value of x.

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Correct Answer: A. x = 49

Explanation:

To find the value of x, set up the proportion 7/9 = x/63. Cross multiply to get 7*63 = 9*x. This simplifies to 441 = 9x. Divide both sides by 9 to solve for x, giving x = 49. Therefore, the correct answer is A. Choice B (x = 39), Choice C (x = 50), and Choice D (x = 59) are incorrect as they do not match the correct calculation based on the proportion set up.

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X/4 = 9/x, solve for x.

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Correct Answer: A. x = 6

Explanation:

To solve X/4 = 9/x, cross multiply to get x^2 = 36. Taking the square root of both sides gives x = 6. Choice A is correct because x = 6 satisfies the equation x^2 = 36. Choices B, C, and D are incorrect as they do not satisfy the equation when substituted back into it.

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Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

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Correct Answer: A. 2.1 feet

Explanation:

To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.

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A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?

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Correct Answer: B. 6 m by 5 m

Explanation:

Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.

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How many liters are in 5000 milliliters?

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Correct Answer: A. 5 liters

Explanation:

To convert milliliters to liters, you divide by 1000 since 1000 milliliters make up 1 liter. In this case, 5000 milliliters divided by 1000 milliliters per liter equals 5 liters (5000 mL /1000 mL/L = 5 L). Therefore, the correct answer is A: 5 liters. Choice B, 4 liters, is incorrect because 5000 milliliters is equivalent to 5 liters, not 4. Choice C, 6 liters, is incorrect as it is not the accurate conversion from milliliters to liters in this case. Choice D, 5.5 liters, is incorrect as it does not reflect the correct conversion of 5000 milliliters to liters, which is 5 liters.

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How many milliliters are in 4 liters?

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Correct Answer: C. 4000 milliliters

Explanation:

To convert liters to milliliters, you must remember that 1 liter is equal to 1,000 milliliters. Therefore, to find out how many milliliters are in 4 liters, you multiply 4 by 1,000. This gives you a total of 4,000 milliliters in 4 liters. Choices A, B, and D are incorrect because they do not correctly convert liters to milliliters. A and B incorrectly represent 40 milliliters, which would be the result if you mistakenly multiplied by 10 instead of 1,000. Choice D is even further from the correct answer, as it suggests only 4 milliliters, which is significantly less than the actual conversion of 4 liters to milliliters.

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If the regular price of a bar is $2.50, how much do you save per bar if you purchase a value pack of 8 bars for $20?

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Correct Answer: B. 40¢

Explanation:

To determine how much you save per bar when buying a value pack of 8 bars for $20, calculate the individual price per bar by dividing the total price by the number of bars: $20 /8 = $2.50 per bar. When the pack price is lower than the individual price, you save money. The saving per bar is found by subtracting the pack price from the individual price: $2.50 (individual price) - $2.50 (pack price) = $0.40. Therefore, you save 40 cents per bar by purchasing the value pack. Choice A, 15¢, is incorrect because the actual saving is $0.40. Choice C, 75¢, is incorrect as it doesn't match the calculated saving. Choice D, $1.20, is incorrect as it is not the actual amount saved per bar.

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Subtract and simplify: -5 - (-6) =

Select the best answer.

Correct Answer: C. 1

Explanation:

To simplify the expression -5 - (-6), we can rewrite it as -5 + 6 (since subtracting a negative number is equivalent to adding its positive counterpart). This gives us -5 + 6 = 1. Therefore, the correct answer is 1. Choice A, ½, is incorrect because the subtraction of a negative number results in a positive number. Choices B and D are also incorrect as they do not match the simplified result of -5 - (-6), which is 1.

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If she had $1,070 after spending $18, how much did she have initially?

Select the best answer.

Correct Answer: A. $1,052

Explanation:

To determine the initial amount she had, we subtract the amount spent ($18) from the total amount she had after spending. If she had $1,070 after spending, subtracting $18 gives us $1,052, which was the initial amount. Choices B, C, and D are incorrect as they do not consider the subtraction of the amount spent to find the initial amount.

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Report all decimal places: 3.7 + 7.289 + 4 =

Select the best answer.

Correct Answer: A. 14.989

Explanation:

To find the sum, you add the numbers 3.7, 7.289, and 4 together. 3.7 + 7.289 + 4 equals 14.989. The correct answer is 14.989 because it includes all decimal places from the sum of the numbers provided. Choice B (5.226) is incorrect as it doesn't account for the sum of the given numbers. Choice C (15.0) is incorrect as it rounds the sum to the nearest whole number, losing the decimal precision. Choice D (5.012) is incorrect as it doesn't reflect the correct sum of the decimal numbers.

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Ratio and proportion: 6:10=24:x

Select the best answer.

Correct Answer: A. 40

Explanation:

To solve for x, use cross-multiplication: 6x = 10 x 24 6x = 240 Now, divide both sides by 6 to find x: x = 240 / 6 = 40 Therefore, the correct answer is A. 40. Choice B, 25, is incorrect because it does not satisfy the proportion. Choice C, 240, is incorrect because it represents the value that is given in the proportion and not the value of x. Choice D, 4, is incorrect as it does not align with the correct calculation for x.

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Which number is the highest among 0.077, 0.777, 0.08, and 0.87?

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Correct Answer: D. 0.87

Explanation:

To determine the highest number among 0.077, 0.777, 0.08, and 0.87, we compare the numbers. 0.87 is greater than 0.777, 0.08, and 0.077, making it the highest number. Choice A (0.077), Choice B (0.777), and Choice C (0.08) are lower numbers compared to 0.87, so they are incorrect.

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What number is 80 125% of?

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Correct Answer: B. 64

Explanation:

To find the number that 80 is 125% of, we can set up the equation: x = 80 / 1.25. Solving this equation gives x = 64. Therefore, 80 is 125% of 64. Choice A (48) is incorrect because it is not the correct value that 80 is 125% of. Choice C (68) is incorrect as it is not the value that satisfies the given percentage relationship. Choice D (78) is incorrect as it does not match the calculation result.

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Solve the proportion (find the value of x): 9:14 = x:56.

Select the best answer.

Correct Answer: C. x = 36

Explanation:

To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

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Divide: 11 /5 =

Select the best answer.

Correct Answer: C. 2.2

Explanation:

To divide 11 by 5, you need to perform the division operation. 11 divided by 5 equals 2.2. Therefore, the correct answer is C. Choice A (1.424) and Choice B (1.622) are incorrect as they do not result from the division of 11 by 5. Choice D (2) is close but not accurate, as the exact result of 11 divided by 5 is 2.2.

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