Unit Conversions
Help Questions
ISEE Middle Level: Mathematics Achievement › Unit Conversions
Using $1\text{ yd}=3\text{ ft}$, convert $8\text{ yd}$ to feet.
$240\text{ ft}$
$11\text{ ft}$
$24\text{ ft}$
$2.7\text{ ft}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 yd = 3 ft, which is used to convert 8 yd to feet. Choice A is correct because it applies the conversion factor correctly, multiplying 8 yd × 3 ft/yd = 24 ft. Choice B (11 ft) is incorrect because it adds 3 to 8 instead of multiplying, a common mistake when students confuse operations. To teach this concept, practice using conversion tables and emphasize that yards are larger units than feet. Encourage students to verify their calculations by visualizing - if 1 yard equals 3 feet, then 8 yards must equal 8 times as many feet.
If a recipe needs $2\text{ cups}$, how many tablespoons is that?
$24\text{ tbsp}$
$8\text{ tbsp}$
$16\text{ tbsp}$
$32\text{ tbsp}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, students need to know that 1 cup = 16 tablespoons to convert 2 cups to tablespoons. Choice D is correct because it applies the conversion factor correctly, multiplying 2 cups × 16 tbsp/cup = 32 tbsp. Choice B (16 tbsp) is incorrect because it only accounts for 1 cup instead of 2, a common mistake when students forget to multiply by the given quantity. To teach this concept, practice using conversion tables and emphasize common cooking measurements. Encourage students to verify their calculations by breaking down the problem - if 1 cup equals 16 tablespoons, then 2 cups must equal twice as many.
If you have $2.5\text{ L}$, how much is that in milliliters?
$2{,}500\text{ mL}$
$25{,}000\text{ mL}$
$0.25\text{ mL}$
$250\text{ mL}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, students need to know that 1 L = 1,000 mL to convert 2.5 L to milliliters. Choice B is correct because it applies the conversion factor correctly, multiplying 2.5 L × 1,000 mL/L = 2,500 mL. Choice A (250 mL) is incorrect because it multiplies by 100 instead of 1,000, confusing the liter-to-milliliter conversion with another metric conversion. To teach this concept, practice using conversion tables and emphasize that 'milli' means one-thousandth. Encourage students to verify their calculations by remembering that milliliters are much smaller than liters, so the number should be larger.
Using $1\text{ km}=0.62\text{ mi}$, convert $15\text{ km}$ to miles.
$24.2\text{ mi}$
$9.3\text{ mi}$
$0.93\text{ mi}$
$9.6\text{ mi}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 km = 0.62 mi, which is used to convert 15 km to miles. Choice A is correct because it applies the conversion factor correctly, multiplying 15 km × 0.62 mi/km = 9.3 mi. Choice B (24.2 mi) is incorrect because it divides 15 by 0.62 instead of multiplying, a common mistake when students confuse which operation to use. To teach this concept, practice using conversion tables and emphasize that units should cancel out properly. Encourage students to verify their calculations by checking if the answer makes sense - since 1 km is less than 1 mile, 15 km should be less than 15 miles.
Using $1\text{ hr}=60\text{ min}$, convert $2.5\text{ hr}$ to minutes.
$150\text{ min}$
$180\text{ min}$
$25\text{ min}$
$90\text{ min}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 hr = 60 min, which is used to convert 2.5 hr to minutes. Choice A is correct because it applies the conversion factor correctly, multiplying 2.5 hr × 60 min/hr = 150 min. Choice B (90 min) is incorrect because it represents 1.5 hours instead of 2.5 hours, a common mistake when students miscalculate with decimals. To teach this concept, practice using conversion tables and emphasize working with decimal hours. Encourage students to verify their calculations by thinking logically - 2 hours equals 120 minutes, so 2.5 hours must be 30 minutes more.
Using $1\text{ ft}=12\text{ in}$, convert $5\text{ ft}$ to inches.
$17\text{ in}$
$0.42\text{ in}$
$600\text{ in}$
$60\text{ in}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 ft = 12 in, which is used to convert 5 ft to inches. Choice B is correct because it applies the conversion factor correctly, multiplying 5 ft × 12 in/ft = 60 in. Choice A (17 in) is incorrect because it adds 12 to 5 instead of multiplying, a common mistake when students confuse operations. To teach this concept, practice using conversion tables and emphasize that feet are larger units than inches. Encourage students to verify their calculations by visualizing - if 1 foot equals 12 inches, then 5 feet must equal 5 times as many inches.
In gym class, convert $1.8\text{ m}$ to centimeters using $1\text{ m}=100\text{ cm}$.
$0.18\text{ cm}$
$18\text{ cm}$
$180\text{ cm}$
$1{,}800\text{ cm}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 m = 100 cm, which is used to convert 1.8 m to centimeters. Choice B is correct because it applies the conversion factor correctly, multiplying 1.8 m × 100 cm/m = 180 cm. Choice A (18 cm) is incorrect because it multiplies by 10 instead of 100, a common mistake when students forget the correct metric conversion. To teach this concept, practice using conversion tables and emphasize the metric system's base-10 structure. Encourage students to verify their calculations by remembering that centimeters are much smaller than meters, so the number should be larger.
Convert $750\text{ g}$ to kilograms using $1\text{ kg}=1000\text{ g}$.
$7.5\text{ kg}$
$0.075\text{ kg}$
$0.75\text{ kg}$
$75\text{ kg}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 kg = 1,000 g, which is used to convert 750 g to kilograms. Choice C is correct because it applies the conversion factor correctly, dividing 750 g ÷ 1,000 g/kg = 0.75 kg. Choice A (7.5 kg) is incorrect because it divides by 100 instead of 1,000, a common mistake when students misremember metric conversions. To teach this concept, practice using conversion tables and emphasize that when converting to larger units, we divide. Encourage students to check their work by converting back - 0.75 kg × 1,000 = 750 g.
Convert $4{,}200\text{ m}$ to kilometers using $1\text{ km}=1000\text{ m}$.
$420\text{ km}$
$0.42\text{ km}$
$42\text{ km}$
$4.2\text{ km}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 km = 1,000 m, which is used to convert 4,200 m to kilometers. Choice B is correct because it applies the conversion factor correctly, dividing 4,200 m ÷ 1,000 m/km = 4.2 km. Choice C (42 km) is incorrect because it divides by 100 instead of 1,000, a common mistake when students misremember metric conversions. To teach this concept, practice using conversion tables and emphasize that kilometers are larger units than meters. Encourage students to verify their calculations by converting back - 4.2 km × 1,000 = 4,200 m.
Convert $3\text{ m}$ to centimeters using $1\text{ m}=100\text{ cm}$.
$300\text{ cm}$
$30\text{ cm}$
$0.03\text{ cm}$
$3{,}000\text{ cm}$
Explanation
This question tests middle school mathematics skills: converting units within a system. Unit conversion requires using a conversion factor to change measurements from one unit to another. In the given problem, the conversion factor provided is 1 m = 100 cm, which is used to convert 3 m to centimeters. Choice B is correct because it applies the conversion factor correctly, multiplying 3 m × 100 cm/m = 300 cm. Choice A (30 cm) is incorrect because it multiplies by 10 instead of 100, a common mistake when students forget the correct metric conversion. To teach this concept, practice using conversion tables and emphasize the metric system's base-10 structure. Encourage students to memorize common metric conversions and use dimensional analysis to check their work.