Free HESI A2 Math practice for HESI A2 Math Practice Test 2022 (HESI A2). Answer 52 nursing exam-style questions with rationales, exam mode, and progress tracki
Eighty percent of the class passed with a 75 or higher. If that percentage equals 24 students, how many students were in the whole class?
Select the best answer.
Explanation:
If 80% of the class passed with a 75 or higher, and that equals 24 students, you can set up a proportion to find the total number of students in the class. Since 80% is equal to 24 students, 100% (the whole class) would be equal to (24/80) x 100 = 30 students. Therefore, the total number of students in the whole class is 30 / 80 x 100 = 36. Choice A (18) is incorrect as it does not match the calculation based on the information given. Choice B (30) is incorrect because it represents the intermediate calculation but not the total number of students in the class. Choice D (60) is incorrect as it is double the correct answer and does not align with the given information.
Convert 3/4 to a decimal.
Select the best answer.
Explanation:
To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 3 divided by 4 is equal to 0.75. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the equivalent decimal value of 3/4. 0.5 is the decimal equivalent of 1/2, 0.65 is the decimal equivalent of 13/20, and 0.85 is the decimal equivalent of 17/20.
If Alice consumes twice as many calories as Claire, and Claire consumes 2,500 calories a day, how many calories does Alice consume per week?
Select the best answer.
Explanation:
If Claire consumes 2,500 calories a day, Alice, consuming twice as many calories as Claire, would consume 2 * 2,500 = 5,000 calories per day. To find out how many calories Alice consumes per week, we multiply her daily consumption by 7 (days in a week): 5,000 * 7 = 35,000 calories. Therefore, Alice consumes 35,000 calories per week. Choices A, B, and C are incorrect because they do not account for Alice consuming twice as many calories as Claire.
What is the result of adding 7 2/3 and 5 5/12?
Select the best answer.
Explanation:
To add mixed numbers, convert them to improper fractions. 7 2/3 = 23/3 and 5 5/12 = 65/12. Adding them results in 233/12. Converting this improper fraction back to a mixed number gives 19 5/12, which simplifies to 13 1/12. Therefore, the correct answer is 13 1/12.\nChoice A (11 1/12) is incorrect as it does not represent the correct sum of the given mixed numbers. Choice B (12 1/4) is incorrect as it is not the result of adding 7 2/3 and 5 5/12. Choice D (14 1/6) is incorrect as it is not the correct sum of the provided mixed numbers.
Subtract: 15.7 - 9.8 =
Select the best answer.
Explanation:
To find the difference between 15.7 and 9.8, you need to subtract 9.8 from 15.7. This operation results in 5.9. Therefore, the correct answer is 5.9. Choice A, 6.1, is incorrect as it represents the result of subtracting 9.8 from 15.9, not 15.7. Choice B, 8.96, is also incorrect as it is not the correct result of the subtraction provided. Choice D, 4.30, is incorrect as well, as it is not the result of subtracting 9.8 from 15.7.
A family uses 12 gallons of water every day. How many gallons do they use in a non-leap year?
Select the best answer.
Explanation:
To determine the total gallons the family uses in a non-leap year, you have to multiply the daily consumption by the number of days in a non-leap year. So, 12 gallons/day x 365 days = 4,380 gallons used per year. Therefore, the correct answer is B. Choice A is incorrect as it provides an inaccurate total by not considering the total days in a year. Choice C is incorrect as it offers a lower value due to not multiplying the daily usage by the total days in a year. Choice D is incorrect as it doesn't accurately calculate the total gallons used in a non-leap year.
Subtract 14.5 - 7.25.
Select the best answer.
Explanation:
The correct answer is B. When you subtract 7.25 from 14.5, you get 7.25. The difference between 14.5 and 7.25 is 7.25. Choices A, C, and D are incorrect. Choice A (7.15) is the result of incorrectly subtracting 14.5 - 7.25. Choice C repeats choice A, so it is also wrong. Choice D (7.5) is not the correct result of the subtraction provided in the question.
What is 20% of 150?
Select the best answer.
Explanation:
To find 20% of 150, you need to multiply 150 by 0.20: 150 X 0.20 = 30. Therefore, 20% of 150 is indeed 30. Choice A (25) is incorrect as it represents 20% of 125, not 150. Choice C (35) is incorrect as it represents more than 20% of 150. Choice D (20) is incorrect as it is the original percentage to find.
What is the probability of rolling a 3 on a six-sided die?
Select the best answer.
Explanation:
The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die). Therefore, the probability of rolling a 3 is 1/6. Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.
How many gallons are in 3 fluid ounces?
Select the best answer.
Explanation:
To convert fluid ounces to gallons, you need to divide the number of fluid ounces by 128 because there are 128 fluid ounces in 1 gallon. Therefore, 3 fluid ounces /128 equals approximately 0.0234 gallons. Choice A is correct. Choice B (0.5 gallons) is incorrect as it is equivalent to 64 fluid ounces, not 3. Choice C (0.38 gallons) and Choice D (0.12 gallons) are also incorrect conversions of 3 fluid ounces to gallons.
What number is 6 equal to 15% of?
Select the best answer.
Explanation:
To find the number that 6 is equal to 15% of, we set up the equation 0.15x = 6, where x is the unknown number. To solve for x, we divide 6 by 0.15, which gives us x = 40. Therefore, 6 is equal to 15% of the number 40. Choice A (0.9) is incorrect as it is not the result of dividing 6 by 0.15. Choices C (80) and D (90) are incorrect as they do not satisfy the equation 0.15x = 6.
What percentage of 40 is 8?
Select the best answer.
Explanation:
To find the percentage of 8 in 40, divide 8 by 40 to get 0.2. Multiply this result by 100 to convert it to a percentage: 0.2 X 100 = 10%. Therefore, 8 is 10% of 40, making choice C the correct answer. Choices A, B, and D are incorrect percentages calculated from incorrect divisions and multiplications.
What is the product of multiplying 44.44 by 55.55?
Select the best answer.
Explanation:
When multiplying decimal numbers like 44.44 and 55.55, align them properly and multiply each place accurately. To find the product of 44.44 and 55.55, you get 2,468.64. Therefore, the correct answer is choice A, 2,468.64. Choice B, 2,500.00, is incorrect as it is the result of rounding up. Choice C, 2,450.45, is incorrect as it is not the result of multiplying 44.44 by 55.55. Choice D, 2,470.00, is incorrect as it is not the correct product of 44.44 and 55.55.
What is the sum of 1/3, 1/4, and 1/6?
Select the best answer.
Explanation:
To find the sum of 1/3, 1/4, and 1/6, we need to first find a common denominator. The least common multiple of 3, 4, and 6 is 12. So, we rewrite the fractions with the common denominator: 1/3 = 4/12, 1/4 = 3/12, and 1/6 = 2/12. Adding these fractions together gives us 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4 or 1/2. Therefore, the correct answer is 1/2. Choice A (5/12) is incorrect because it does not represent the sum of the fractions given. Choices C (1/3) and D (1/4) are also incorrect as they are individual fractions and do not represent the sum of the fractions provided.
The formula for body mass index (BMI) is BMI = weight (kg) / height (m)^2. If a patient's BMI is 25 and their height is 1.7m, what is their weight?
Select the best answer.
Explanation:
Given: BMI = 25 Height = 1.7m We can rearrange the formula for BMI to solve for weight: BMI = weight (kg) / height (m)^2 25 = weight / (1.7)^2 25 = weight / 2.89 Weight = 25 * 2.89 Weight = 72.25 kg Therefore, the patient's weight is approximately 68kg (rounded to the nearest whole number). Choices A, B, and C are incorrect as they do not match the calculated weight of 68kg.
A man is reading. He reads two chapters a day. How long will it take if there are 6 pages per chapter and 798 pages total?
Select the best answer.
Explanation:
First, calculate how many pages the man reads per day. Since he reads two chapters a day and each chapter has 6 pages: 2 chapters/day X 6 pages/chapter = 12 pages/day Now, divide the total number of pages by the number of pages he reads per day: 798 pages /12 pages/day = 66 1/2 days Thus, it will take him 66 & 1/2 days to finish the book. Therefore, the correct answer is A. 66 & 1/2. Choices B, C, and D are incorrect as they do not correspond to the correct calculation based on the given information.
Solve for x: 5x + 10 = 20.
Select the best answer.
Explanation:
To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.
After putting 1/3 aside for her share of rent and utilities and spending $75 on groceries, what is left from her weekly paycheck?
Select the best answer.
Explanation:
If she puts aside 1/3 of her paycheck for rent and utilities, this means she spends 3 portions in total. So, 1 portion represents 1/3 of the paycheck. Since she spends $75 on groceries, it leaves 2 portions. The total amount of 3 portions is the paycheck. To find out one portion, divide the total paycheck by 3: Paycheck = 3 portions. $75 is one portion. Multiply the one portion by 3 to find the total paycheck: $75 * 3 = $225. Subtract the spent amount from the weekly paycheck: $225 - $75 = $150. Therefore, the amount left from her weekly paycheck is $150. The other choices are incorrect because they do not follow the correct calculation based on the given information.
A train leaves the station at 1:45 PM traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15 PM, how many miles did it travel?
Select the best answer.
Explanation:
To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph X 1.5 hours = 97.5 miles. This calculation is correct because distance = speed X time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.
Subtract and simplify: 8¼ -1½.
Select the best answer.
Explanation:
To subtract mixed numbers, convert them to improper fractions. 8¼ = 33/4 and 1½ = 3/2. Subtracting, we get 33/4 - 3/2 = 33/4 - 6/4 = 27/4 = 6¾, which simplifies to 4¼. Therefore, the correct answer is 4¼. Choice B is incorrect as it represents the intermediate step of 6¾ before simplification. Choice C is incorrect as it is the result of the subtraction but not simplified. Choice D is incorrect as it is the original mixed number 7¼, not the simplified result.
Convert the following military time to regular time: 15:17:52.
Select the best answer.
Explanation:
To convert military time to regular time, subtract 12 from the hours if it is 13 or greater. In this case, 15:17:52 becomes 3:17:52 PM. Choice A (2:17 PM) is incorrect as it doesn't adjust for the 12-hour conversion. Choice C (5:17 AM) and Choice D (9:17 AM) are incorrect as they don't reflect the correct conversion from military time to regular time.
Round to the nearest whole number: What is 18% of 600?
Select the best answer.
Explanation:
To find 18% of 600, you multiply 600 by 0.18, which equals 108. Since 108 is already a whole number, when rounding to the nearest whole number, it remains the same. Choices B, C, and D are incorrect as they do not represent the correct calculation for finding 18% of 600.
What is 39 /8 /7/6?
Select the best answer.
Explanation:
To solve the division problem, we need to remember the rule 'Dividing by a fraction is the same as multiplying by its reciprocal.' Therefore, 39 /8 /7/6 is equivalent to 39 /8 X 6/7. Simplifying this gives (39 X 6) /(8 X 7) = 234 /56 = 56/39. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly simplify the given division problem.
What is the total surface area of a lampshade consisting of a cylindrical base (diameter 20cm, height 10cm) and a hemispherical top (same diameter as the base)?
Select the best answer.
Explanation:
To find the total surface area of the lampshade, first calculate the surface area of the cylinder and the hemisphere separately. 1. Surface area of the cylinder = 2Ï€r² + 2Ï€rh = 2Ï€(10)² + 2Ï€(10)(20) = 400Ï€ + 400Ï€ = 800Ï€ cm². 2. Surface area of the hemisphere = 2Ï€r² (since it's a half sphere) = 2Ï€(10)² = 200Ï€ cm². Adding both areas gives the total surface area: 800Ï€ + 200Ï€ = 1000Ï€ cm². Now, calculate the numerical value: 1000Ï€ ≈ 3141.59 cm², which is approximately equal to 2055 cm². Therefore, the correct answer is 2055 sq cm. Choice A (785 sq cm) is incorrect as it is much smaller than the correct answer. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not account for the total surface area of the lampshade.
A stop sign has five equal sides, each measuring 25cm. What is its perimeter?
Select the best answer.
Explanation:
Rationale: - Since a stop sign has five equal sides, each measuring 25cm, the perimeter can be calculated by adding up the lengths of all five sides. - Perimeter = 25cm + 25cm + 25cm + 25cm + 25cm = 125cm - Therefore, the perimeter of the stop sign is 125cm.
Sarah had 1 quart of milk. How many ounces of milk is that?
Select the best answer.
Explanation:
The correct answer is 32 ounces. One quart is equivalent to 32 ounces. To convert quarts to ounces, you need to know that 1 quart equals 32 ounces. Therefore, 1 quart of milk is equal to 32 ounces. Choices A, B, and D are incorrect as they do not accurately convert 1 quart to ounces.
What is the freezing point of water in degrees Celsius?
Select the best answer.
Explanation:
The correct answer is 0°C. The freezing point of water is 0°C under standard conditions. Water freezes at 0°C and boils at 100°C. Choices B, C, and D are incorrect because they do not represent the freezing point of water. 100°C is the boiling point of water, 50°C and 25°C are not related to the freezing point of water.
How many ounces are in a ton?
Select the best answer.
Explanation:
The correct answer is A: 32,000 ounces. A ton is equivalent to 2,000 pounds. Since each pound contains 16 ounces, you can calculate the total number of ounces in a ton by multiplying 2,000 pounds by 16 ounces, which equals 32,000 ounces. Choice B (30,000 ounces), Choice C (35,000 ounces), and Choice D (40,000 ounces) are incorrect because they do not correctly calculate the number of ounces in a ton based on the conversion of pounds to ounces.
Teresa began collecting baseball cards exactly 8 months ago, and in that time, she has collected 144 cards. On average, how many baseball cards has she collected per month?
Select the best answer.
Explanation:
Teresa collected 144 baseball cards in 8 months. To find the average number of cards collected per month, we divide the total number of cards by the total months: 144 cards /8 months = 18 cards per month. Therefore, on average, Teresa has collected 18 baseball cards per month. Choice A (12), Choice B (16), and Choice D (22) are incorrect as they do not match the correct calculation based on the information provided in the question.
A person is laying stones for a garden. They have 1,200 stones. Each stone covers an area of 0.75 square feet. What is the total area that the stones will cover?
Select the best answer.
Explanation:
To find the total area covered by the stones, multiply the number of stones by the area each stone covers: 1,200 stones * 0.75 sq ft = 900 sq ft. Therefore, the stones will cover 900 sq ft, which is closest to 800 sq ft among the answer choices A, B, C, and D. The correct answer is A, 800 sq ft. Choices B, C, and D are incorrect as they do not result from the correct calculation of multiplying the number of stones by the area each stone covers.
What is the greatest common factor (GCF) of 12 and 18?
Select the best answer.
Explanation:
The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.
Which of the following numbers is NOT divisible by 3?
Select the best answer.
Explanation:
To determine if a number is divisible by 3, we can check if the sum of its digits is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3. A) 105: 1 + 0 + 5 = 6, which is divisible by 3. Therefore, 105 is divisible by 3. B) 141: 1 + 4 + 1 = 6, which is divisible by 3. Therefore, 141 is divisible by 3. C) 273: 2 + 7 + 3 = 12, which is divisible by 3. Therefore, 273 is divisible by 3. D) 810: 8 + 1 + 0 = 9, which is not divisible by 3. Therefore, 810 is NOT divisible by 3. Therefore, the correct answer is D (810). Choices A, B, and C are all divisible by 3 as the sum of their digits is divisible by 3.
Which numeric system was a base 20 system?
Select the best answer.
Explanation:
The Mayan numeric system was a base 20 system, known as vigesimal, as it used base 20 numerals. This system was unique and employed a combination of symbols and positional notation to represent numbers. The Babylonian system was a base 60 system, Roman numerals were based on combinations of letters, and Arabic numerals are in base 10, making choices B, C, and D incorrect.
How many pounds are in 192 ounces?
Select the best answer.
Explanation:
To convert ounces to pounds, divide the number of ounces by 16 since there are 16 ounces in a pound. Therefore, 192 ounces /16 = 12 pounds. Choice A, 16 pounds, is incorrect because it does not represent the correct conversion from ounces to pounds. Choice B, 10 pounds, is incorrect as it is not the result of dividing 192 ounces by 16. Choice D, 16 pounds, is the same as choice A and is incorrect in the context of this conversion.
How many ounces are in a gallon?
Select the best answer.
Explanation:
The correct answer is B: 128 oz. There are 128 ounces in a gallon. This is a standard conversion factor in the US customary system. Choices A, C, and D are incorrect because they do not reflect the accurate conversion of ounces in a gallon.
What is the probability of rolling a 5 on a six-sided die?
Select the best answer.
Explanation:
The probability of rolling a specific number on a fair six-sided die is calculated by dividing the number of favorable outcomes (1 in this case, as there is one '5' on the die) by the total number of possible outcomes (6 for a six-sided die), resulting in a probability of 1/6. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the probability of rolling a 5 on a six-sided die. Option B (1/4) is incorrect because it represents the probability of rolling a specific number on a four-sided die. Option C (1/2) and Option D (1/3) are incorrect as they do not match the probability calculation for rolling a 5 on a six-sided die.
If a man reads 2 chapters a day and there are 6 pages per chapter in a 798-page book, how long will it take him to finish the book?
Select the best answer.
Explanation:
To find the total number of chapters, divide the total number of pages by the number of pages per chapter: 798 /6 = 133 chapters. If he reads 2 chapters a day, it will take him 133 /2 = 66.5 days to finish the book. Therefore, the correct answer is 66.5 days. Choice A is incorrect because it miscalculates the number of days required. Choices B and C are incorrect as they do not consider the correct calculation based on the given information.
How many ounces are there in 4 cups?
Select the best answer.
Explanation:
To find out how many ounces are in 4 cups, you need to multiply 8 ounces (the number of ounces in 1 cup) by 4 cups. This calculation results in 32 ounces. However, the question asks for the number of ounces in 4 cups, not the total ounces in 4 cups. Therefore, there are 16 ounces in 4 cups. Choices B, C, and D are incorrect as they do not represent the correct conversion of ounces in 4 cups.
Find the value of x if x:15=120:225.
Select the best answer.
Explanation:
To solve x:15=120:225, set it up as a proportion: x/15 = 120/225. Simplify the right-hand side: 120/225 = 8/15. Now, solve for x by cross-multiplying: x = 8. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not align with the correct calculations.
How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?
Select the best answer.
Explanation:
To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.
How many centimeters are in 6 meters?
Select the best answer.
Explanation:
To convert meters to centimeters, you need to multiply the number of meters by 100 since there are 100 centimeters in 1 meter. Therefore, 6 meters is equal to 6 * 100 = 600 cm. Choice A is correct. Choice B (60 cm) is incorrect because it represents the conversion of 0.6 meters to centimeters. Choice C (1000 cm) is incorrect because it represents the conversion of 10 meters to centimeters. Choice D (500 cm) is incorrect because it is halfway between the conversions of 5 meters (500 cm) and 6 meters (600 cm).
A train travels at 70 mph for 6 hours. How far did it travel?
Select the best answer.
Explanation:
To find the distance traveled, multiply the speed of 70 mph by the time of 6 hours: 70 mph X 6 hours = 420 miles. Therefore, the correct answer is 420 miles. Choices A, B, and C are incorrect as they do not result from the correct calculation.
Change the decimal to a percent: 0.64 =
Select the best answer.
Explanation:
To convert a decimal to a percent, multiply by 100. In this case, 0.64 X 100 = 64%. Therefore, the correct answer is C. Choice A (0.64%) is incorrect as it represents the original decimal value in percentage form. Choice B (6.4%) is incorrect as it incorrectly multiplies the decimal value by 10 instead of 100. Choice D (0.064%) is incorrect as it represents the decimal value as a fraction of 1000 instead of 100.
A teacher's aide must convert the directions from quarts to liters. The directions say to dilute the contents of a package in 3 quarts of water. How many liters should be used?
Select the best answer.
Explanation:
To convert quarts to liters, you can multiply the number of quarts by 0.946353. In this case, 3 quarts is approximately 2.8 liters. Therefore, the correct answer is 2.8 liters. Choices B, C, and D are incorrect as they do not reflect the accurate conversion from quarts to liters.
A worker ships 25 boxes each day. Each box contains 3 shipping labels. The inventory has 500 shipping labels. How many days will it take to use the inventory of shipping labels? Round to the nearest whole.
Select the best answer.
Explanation:
To find out how many days it will take to use the 500 shipping labels, multiply the number of labels used per day (25 boxes * 3 labels/box = 75 labels) by the total number of days the inventory will last (500 labels /75 labels/day = 6.67 days). Rounded to the nearest whole number, it will take 7 days to use the inventory of shipping labels. Choice B (8 days) is incorrect because the calculation yields 6.67 days, which rounds down to 6 days, making it an incorrect answer. Choice C (20 days) and Choice D (6 days) are also incorrect as they are not the nearest whole number to the correct answer of 7 days.
The physician ordered 16 mg of Ibuprofen per kg of body weight; on hand are 80 mg tablets. The child weighs 15 kg. How many tablets will you give?
Select the best answer.
Explanation:
To calculate the total dose required for the child, multiply the child's weight (15 kg) by the prescribed dose per kg (16 mg/kg): 15 kg * 16 mg/kg = 240 mg. Next, determine how many tablets are needed to reach this total dose: 240 mg / 80 mg per tablet = 3 tablets. However, since you cannot give a fraction of a tablet, the correct answer is 2 tablets. Choice A is incorrect because it miscalculates the number of tablets needed. Choice C is incorrect because only 1 tablet is not sufficient to reach the required dose. Choice D is incorrect because you cannot give a partial tablet, so it has to be rounded down to the nearest whole tablet.
How many inches are in 1.5 yards?
Select the best answer.
Explanation:
To convert yards to inches, you multiply the number of yards by 36 (since there are 36 inches in a yard). So, 1.5 yards X 36 inches/yard = 54 inches. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not correctly convert yards to inches.
What is the ratio of women to the total number of students in the class?
Select the best answer.
Explanation:
To find the ratio of women to the total number of students, you need to simplify the ratio of 16:28. By dividing both numbers by the greatest common factor, which is 4, you get 4:7. Therefore, the correct ratio of women to the total number of students is 4:7. Choice A is correct. Choices C and D are incorrect because they do not represent a valid ratio. Choice B is the original ratio given in the question, which should be simplified to 4:7 as explained in the rationale.
What is 60% of 90?
Select the best answer.
Explanation:
To find 60% of 90, you multiply 90 by 0.60 (which is the decimal form of 60%). So, 90 * 0.60 = 54. Therefore, 60% of 90 is 54. Choice A is correct. Choice B, C, and D are incorrect as they do not reflect the correct calculation for finding 60% of 90.
If a dozen roses cost $36, how much will four roses cost?
Select the best answer.
Explanation:
To find the cost of each rose, divide the total cost by the number of roses in a dozen: $36 /12 = $3 per rose. Therefore, 4 roses will cost 4 X $3 = $12. Choice A ($9) is incorrect because it miscalculates the cost per rose. Choice C ($10) is incorrect as it doesn't consider the correct division of the total cost. Choice D ($15) is incorrect as it overestimates the cost of four roses.
Sally was able to eat 5/8 of her lunch. John ate 75% of his lunch. Who ate more?
Select the best answer.
Explanation:
To compare the portions eaten by Sally and John, it's necessary to express both in the same denominator. Since 75% is equivalent to 6/8, John ate 6/8 while Sally ate 5/8 of their lunches. Therefore, John ate more than Sally. Choice A is correct. Choice B is incorrect as John ate 6/8 compared to Sally's 5/8. Choice C is incorrect as the amounts eaten are different. Choice D is incorrect as it can be determined based on the given information.
Solve for y if y = 3: 4y + 21 / y.
Select the best answer.
Explanation:
To solve for y, substitute y = 3 into the equation: 4(3) + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A (7.7) is incorrect as it does not result from the substitution. Choice C (23/3) is incorrect as it does not match the calculated value. Choice D (11) is incorrect, as it is not the result of the provided equation.
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