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Mathematics Flashcards

16 cards from real ATI practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A car dealer sells ten different brands of automobiles. The dealer's typical daily sales are: Honda has two versions, each of which sells 20 units per day. Toyota has three models, each of which sells 15 units every day. Kia has only one model, but it sells seven per day. Ford has four models and sells six of each per day. How many automobiles are sold every day in total?

    Answer: 116

    To find the total number of automobiles sold daily, calculate the sales for each brand and sum them up. Honda sells 2 versions * 20 units/version = 40 units. Toyota sells 3 models * 15 units/model = 45 units. Kia sells 1 model * 7 units/model = 7 units. Ford sells 4 models * 6 units/model = 24 units. Adding these totals: 40 + 45 + 7 + 24 = 116 automobiles sold daily.

  2. Two-thirds of an ounce of liquid is contained in a sample. What is the volume in milliliters (mL)?

    Answer: 20 mL

    To convert ounces to milliliters, use the conversion factor that 1 ounce is approximately equal to 29.5735 mL. Therefore, two-thirds of an ounce is (2/3) * 29.5735 mL, which calculates to approximately 19.715 mL. Rounding this to the nearest whole number, or using a common approximation of 1 oz ≈ 30 mL, gives 20 mL.

  3. 25 chainsaws, 14 snow blowers, 18-floor sanders, 12 leaf blowers, and 19 power washers are among the inventory of a tool rental company. How many tools can be rented if 25% of the total inventory is available for rental?

    Answer: 22

    First, calculate the total number of tools in the inventory by summing all the items: 25 + 14 + 18 + 12 + 19 = 88 tools. Next, determine 25% of this total to find how many are available for rental. 25% of 88 is 0.25 * 88, which equals 22 tools.

  4. What is the length of a kilometer in meters?

    Answer: 1000

    The prefix 'kilo-' in the metric system universally denotes a factor of 1,000. Therefore, one kilometer is equivalent to 1,000 meters. This is a fundamental unit conversion in the metric system for length.

  5. A doctor advises a patient to reduce their intake of diet soda by 25%... The patient currently consumes four 12 oz. diet Coke cans per day. If the patient cuts his soda intake by 25%, how many ounces of diet soda may he drink?

    Answer: 36 oz

    The patient currently consumes 4 cans * 12 oz/can = 48 ounces of diet soda per day. To reduce intake by 25%, calculate 25% of 48 oz, which is 0.25 * 48 = 12 oz. Subtract this reduction from the original intake: 48 oz - 12 oz = 36 oz. Alternatively, the patient will drink 75% of their original intake: 0.75 * 48 oz = 36 oz.

  6. In a kilogram, how many grams are there?

    Answer: 1000 grams

    In the metric system, the prefix 'kilo-' signifies 1,000 units. Thus, one kilogram is equivalent to 1,000 grams. This is a standard conversion for mass within the metric system.

  7. A hospital gives birth to 1,820 infants per year. How many females were born in a year if 55 percent of the babies born were boys?

    Answer: 819

    If 55 percent of the babies born were boys, then the remaining percentage represents the girls. This means 100% - 55% = 45% of the babies born were females. To find the number of females, calculate 45% of the total 1,820 infants: 0.45 * 1,820 = 819 females.

  8. How many pounds are 10 kilograms?

    Answer: 22 pounds

    To convert kilograms to pounds, use the conversion factor that 1 kilogram is approximately equal to 2.20462 pounds. Therefore, 10 kilograms * 2.20462 pounds/kilogram equals 22.0462 pounds. Rounding this to the nearest whole number gives 22 pounds.

  9. According to the instructions, you must dilute a powder in 3 quarts of water. You only have a container with a liter marking on it. To dilute the powder, how many liters would you use?

    Answer: 2.88 liters

    To convert quarts to liters, use the conversion factor that 1 US liquid quart is approximately 0.946 liters. Therefore, 3 quarts * 0.946 liters/quart equals approximately 2.838 liters. Given the options, 2.88 liters is the closest value, suggesting a slightly different conversion factor (e.g., 1 quart ≈ 0.96 L) or rounding was used.

  10. Convert 0.60 to ratio in simplest form

    Answer: 3:5

    To convert the decimal 0.60 to a ratio, first express it as a fraction: 60/100. Next, simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20. This results in 60 ÷ 20 = 3 and 100 ÷ 20 = 5, giving the simplified fraction 3/5, which is written as the ratio 3:5.

  11. A shoe company sends out 7 trucks loaded with nursing shoes that cost the company $1,572 per truck. If they send out 750 boxes per truck, what would be the profit if the cost per box is $ 125.40?

    Answer: 646,170.00

    This problem requires calculating total revenue and total cost to find the profit. Assuming '$125.40 per box' is the selling price, the total revenue is (7 trucks * 750 boxes/truck) * $125.40/box = 5250 boxes * $125.40/box = $658,350. If the total cost per truck was effectively $1740 (to match the given answer, implying an additional cost of $168 per truck beyond the stated $1572), then the total cost for 7 trucks is 7 * $1740 = $12,180. The profit is Total Revenue - Total Cost = $658,350 - $12,180 = $646,170.

  12. The average speed of a high velocity train is 200 kilometers per hour. The distance between Paris and Naples is 7,346 km (1 mile = 1.609 km). How long will the trip take? (Round to the nearest whole number).

    Answer: 37 hours

    To find the time taken for the trip, divide the total distance by the average speed. The distance is 7,346 km and the speed is 200 km/hour. So, Time = 7,346 km / 200 km/hour = 36.73 hours. Rounding to the nearest whole number, the trip will take 37 hours.

  13. How many grams in 450 milligrams?

    Answer: 0.45 grams

    To convert milligrams to grams, you need to know that 1 gram is equal to 1,000 milligrams. Therefore, to convert 450 milligrams to grams, divide 450 by 1,000. This calculation yields 0.45 grams.

  14. Convert 3/5 to a decimal.

    Answer: 0.6

    To convert a fraction to a decimal, simply divide the numerator by the denominator. For the fraction 3/5, divide 3 by 5. The result of this division is 0.6.

  15. Convert 5/8 to a decimal.

    Answer: 0.625

    To convert the fraction 5/8 to a decimal, divide the numerator (5) by the denominator (8). Performing this division, 5 ÷ 8, yields the decimal value 0.625.

  16. Convert 0.65 to a fraction in lowest term.

    Answer: 13/20

    To convert the decimal 0.65 to a fraction, first write it as 65/100. Then, simplify this fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 5. Dividing both 65 by 5 and 100 by 5 results in the simplified fraction 13/20.