PSAT Math Flashcards: Unit Conversions

What this deck covers

This deck focuses on Unit Conversions, giving you a quick way to review the definitions, rules, and examples that matter most for PSAT Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: State the conversion factor between meters and kilometers.

Answer: $1\text{ km}=1000\text{ m}$. Standard metric conversion: 1 kilometer equals 1000 meters.

Flashcard 2: What is $3\text{ min}$ in seconds?

Answer: $180\text{ s}$. Multiply $3 \times 60 = 180$ seconds.

Flashcard 3: What is the conversion factor from centimeters to millimeters?

Answer: $1\text{ cm}=10\text{ mm}$. Metric conversion: one centimeter equals ten millimeters.

Flashcard 4: What is the conversion factor from minutes to hours (minutes per hour)?

Answer: $60\text{ min}=1\text{ hr}$. Time conversion: 60 minutes equals 1 hour.

Flashcard 5: What is the conversion factor between minutes and seconds?

Answer: $1\text{ min}=60\text{ s}$. Time conversion: one minute equals sixty seconds.

Flashcard 6: State the conversion factor between centimeters and meters.

Answer: $1\text{ m}=100\text{ cm}$. Standard metric conversion: 1 meter equals 100 centimeters.

Flashcard 7: What is $2.5\ \text{L}$ in milliliters?

Answer: $2500\ \text{mL}$. Multiply by 1000 since 1 L = 1000 mL.

Flashcard 8: What is the metric prefix meaning of kilo-?

Answer: $\text{kilo-}=10^3$. Kilo- means thousand, or $10^3$ in scientific notation.

Flashcard 9: What is $250\ \text{cm}$ in meters?

Answer: $2.5\ \text{m}$. Divide: $250 \div 100 = 2.5$ meters.

Flashcard 10: What is $4.5\text{ L}$ in milliliters?

Answer: $4500\text{ mL}$. Multiply: $4.5\text{ L} \times 1000\text{ mL/L} = 4500\text{ mL}$.

Flashcard 11: What is the conversion factor from miles to feet?

Answer: $1\text{ mi}=5280\text{ ft}$. Standard conversion: 5,280 feet equals one mile.

Flashcard 12: What is $1.2\text{ L}$ converted to milliliters?

Answer: $1200\text{ mL}$. Multiply by 1000: $1.2\text{ L} \times 1000 = 1200\text{ mL}$.

Flashcard 13: What is the conversion factor from grams to kilograms (grams per kilogram)?

Answer: $1000\text{ g}=1\text{ kg}$. Metric mass: 1000 grams equals 1 kilogram.

Flashcard 14: What is $7\text{ ft}$ in inches?

Answer: $84\text{ in}$. Multiply $7 \times 12 = 84$ since $1\text{ ft} = 12\text{ in}$.

Flashcard 15: What is $5\text{ ft}$ in inches?

Answer: $60\text{ in}$. Multiply: $5 \times 12 = 60$ inches.

Flashcard 16: What is the conversion factor from meters to centimeters?

Answer: $1\text{ m}=100\text{ cm}$. Metric conversion: 100 centimeters equals one meter.

Flashcard 17: What is $2.5\ \text{yd}$ in feet?

Answer: $7.5\ \text{ft}$. Multiply: $2.5 \times 3 = 7.5$ feet.

Flashcard 18: State the conversion factor between yards and miles.

Answer: $1\text{ mi}=1760\text{ yd}$. Standard imperial conversion: 1 mile equals 1760 yards.

Flashcard 19: What is the conversion factor from hours to minutes?

Answer: $1\text{ hr}=60\text{ min}$. Time conversion: 60 minutes equals one hour.

Flashcard 20: What is $2\text{ L}$ in milliliters?

Answer: $2000\text{ mL}$. Multiply $2 \times 1000 = 2000$ since $1\text{ L} = 1000\text{ mL}$.

Flashcard 21: What is $3\ \text{mi}$ in feet?

Answer: $15840\ \text{ft}$. Multiply: $3 \times 5,280 = 15,840$ feet.

Flashcard 22: What is the metric prefix meaning of milli-?

Answer: $\text{milli-}=10^{-3}$. Milli- means thousandth, or $10^{-3}$ in scientific notation.

Flashcard 23: Identify the correct conversion for area when converting meters to centimeters.

Answer: $1\text{ m}^2=10{,}000\text{ cm}^2$. Area conversions use squared units: $(100)^2 = 10{,}000$.

Flashcard 24: What is the conversion factor from centimeters to inches (centimeters per inch)?

Answer: $2.54\text{ cm}=1\text{ in}$. Metric-imperial: 2.54 centimeters equals 1 inch.

Flashcard 25: What is the conversion factor from quarts to gallons?

Answer: $4\text{ qt}=1\text{ gal}$. US volume: four quarts equal one gallon.

Flashcard 26: What is the conversion factor from cups to pints?

Answer: $2\text{ cups}=1\text{ pt}$. US volume: 2 cups equals one pint.

Flashcard 27: What conversion factor equals $1$ for converting inches to feet?

Answer: $\frac{1\ \text{ft}}{12\ \text{in}}$. Since 1 foot = 12 inches, this fraction equals 1.

Flashcard 28: What is $3\text{ yd}$ in feet?

Answer: $9\text{ ft}$. Multiply $3 \times 3 = 9$ feet.

Flashcard 29: Identify the correct factor-label setup to convert $300\text{ cm}$ to meters.

Answer: $300\text{ cm}\times\frac{1\text{ m}}{100\text{ cm}}$. Multiply by conversion factor with cm canceling out.

Flashcard 30: What is the conversion factor from millimeters to centimeters?

Answer: $1\text{ cm}=10\text{ mm}$. Metric conversion: 10 millimeters equals 1 centimeter.

Flashcard 31: What conversion factor equals $1$ for converting liters to milliliters?

Answer: $\frac{1000\ \text{mL}}{1\ \text{L}}$. Since 1 liter = 1000 milliliters, this fraction equals 1.

Flashcard 32: What is the conversion factor from kilometers to meters?

Answer: $1\text{ km}=1000\text{ m}$. Metric conversion: one kilometer equals one thousand meters.

Flashcard 33: What is $72\ \text{in}$ in feet?

Answer: $6\ \text{ft}$. Divide by 12 since 12 inches = 1 foot.

Flashcard 34: What is the conversion factor from feet to yards?

Answer: $1\text{ yd}=3\text{ ft}$. Standard conversion: 3 feet equals 1 yard.

Flashcard 35: What is the conversion factor from centimeters to meters (centimeters per meter)?

Answer: $100\text{ cm}=1\text{ m}$. Metric system: 100 centimeters equals 1 meter.

Flashcard 36: What is $3\text{ ft}$ in inches?

Answer: $36\text{ in}$. Multiply: $3 \times 12 = 36$ inches.

Flashcard 37: What conversion factor equals $1$ for converting miles to feet?

Answer: $\frac{5280\ \text{ft}}{1\ \text{mi}}$. Since 1 mile = 5280 feet, this fraction equals 1.

Flashcard 38: Identify the correct setup to convert $5\text{ ft}$ to inches using unit fractions.

Answer: $5\text{ ft}\cdot\frac{12\text{ in}}{1\text{ ft}}$. Multiply by the conversion fraction to cancel feet units.

Flashcard 39: What is $2\text{ hr }15\text{ min}$ in minutes?

Answer: $135\text{ min}$. Convert hours to minutes: $2 \times 60 + 15 = 135$.

Flashcard 40: What is $2.5\text{ yd}$ in feet?

Answer: $7.5\text{ ft}$. Multiply: $2.5 \times 3 = 7.5$ feet.

Flashcard 41: What is $3\text{ hr}$ in seconds?

Answer: $10800\text{ s}$. Convert hours to seconds: $3 \times 60 \times 60 = 10800$ seconds.

Flashcard 42: What is $3\text{ mi}$ in feet?

Answer: $15840\text{ ft}$. Multiply: $3\text{ mi} \times 5280\text{ ft/mi} = 15840\text{ ft}$.

Flashcard 43: What is $5\text{ ft}$ in inches?

Answer: $60\text{ in}$. Multiply $5 \times 12 = 60$ inches.

Flashcard 44: What is $3.5\text{ m}$ in centimeters?

Answer: $350\text{ cm}$. Multiply by 100: $3.5 \times 100 = 350$.

Flashcard 45: Identify the correct setup to convert $5\text{ ft}$ to inches using unit cancellation.

Answer: $5\text{ ft}\times\frac{12\text{ in}}{1\text{ ft}}$. Multiply by the conversion factor to cancel feet.

Flashcard 46: What is the conversion factor from feet to inches (inches per foot)?

Answer: $12\text{ in}=1\text{ ft}$. Standard conversion: 12 inches equals 1 foot.

Flashcard 47: What is the conversion factor from minutes to seconds?

Answer: $1\text{ min}=60\text{ s}$. Time conversion: 60 seconds equals one minute.

Flashcard 48: What is $2\ \text{hr}\ 30\ \text{min}$ in minutes?

Answer: $150\ \text{min}$. Convert: $2 \times 60 + 30 = 150$ minutes.

Flashcard 49: What conversion factor equals $1$ for converting yards to feet?

Answer: $\frac{3\ \text{ft}}{1\ \text{yd}}$. Since 1 yard = 3 feet, this fraction equals 1.

Flashcard 50: What is $0.4\text{ km}$ in meters?

Answer: $400\text{ m}$. Multiply: $0.4\text{ km} \times 1000\text{ m/km} = 400\text{ m}$.

Flashcard 51: What is $24\text{ oz}$ in pounds?

Answer: $1.5\text{ lb}$. Divide: $24 \div 16 = 1.5$ pounds.

Flashcard 52: What is the conversion factor from yards to feet?

Answer: $1\text{ yd}=3\text{ ft}$. Standard conversion: 3 feet equals one yard.

Flashcard 53: What is $2\text{ hr}$ in minutes?

Answer: $120\text{ min}$. Multiply: $2 \times 60 = 120$ minutes.

Flashcard 54: What is $3\text{ mi}$ in feet?

Answer: $15840\text{ ft}$. Multiply: $3\text{ mi} \times 5280\text{ ft/mi} = 15840\text{ ft}$.

Flashcard 55: What is the metric prefix meaning of centi-?

Answer: $\text{centi-}=10^{-2}$. Centi- means hundredth, or $10^{-2}$ in scientific notation.

Flashcard 56: What is the conversion factor from meters to centimeters?

Answer: $1\text{ m}=100\text{ cm}$. Metric conversion: one meter equals one hundred centimeters.

Flashcard 57: What is $6\text{ km}$ in meters?

Answer: $6000\text{ m}$. Multiply $6 \times 1000 = 6000$ since $1\text{ km} = 1000\text{ m}$.

Flashcard 58: State the conversion factor between cups and pints.

Answer: $1\text{ pt}=2\text{ cups}$. Standard volume conversion: 1 pint equals 2 cups.

Flashcard 59: What is $5400\ \text{s}$ in minutes?

Answer: $90\ \text{min}$. Divide by 60 since 60 seconds = 1 minute.

Flashcard 60: What is $30\text{ in}$ in feet?

Answer: $2.5\text{ ft}$. Divide by 12: $30 \div 12 = 2.5$.

Flashcard 61: What is the conversion factor from pounds to ounces (ounces per pound)?

Answer: $16\text{ oz}=1\text{ lb}$. Weight conversion: 16 ounces equals 1 pound.

Flashcard 62: Identify the correct setup to convert $5\text{ ft}$ to inches using factor-label method.

Answer: $5\text{ ft}\times\frac{12\text{ in}}{1\text{ ft}}$. Multiply by conversion factor with feet canceling out.

Flashcard 63: Identify the method: What must you do to the conversion factor when converting volume units?

Answer: $\text{Cube the linear conversion factor}$. For volume, multiply by conversion factor cubed.

Flashcard 64: What is $4.2\text{ km}$ in meters?

Answer: $4200\text{ m}$. Multiply $4.2 \times 1000 = 4200$ meters.

Flashcard 65: What is $0.75\ \text{kg}$ in grams?

Answer: $750\ \text{g}$. Multiply: $0.75 \times 1,000 = 750$ grams.

Flashcard 66: What is the conversion factor from liters to milliliters?

Answer: $1\text{ L}=1000\text{ mL}$. Metric volume: 1,000 milliliters equals one liter.

Flashcard 67: What is the correct unit-squared conversion from feet to inches for area?

Answer: $1\ \text{ft}^2 = 144\ \text{in}^2$. Area conversion: $(12)^2 = 144$ square inches per square foot.

Flashcard 68: State the conversion factor between feet and yards.

Answer: $1\text{ yd}=3\text{ ft}$. Standard imperial conversion: 1 yard equals 3 feet.

Flashcard 69: What is $6\text{ ft}$ in yards?

Answer: $2\text{ yd}$. Divide: $6\text{ ft} \div 3\text{ ft/yd} = 2\text{ yd}$.

Flashcard 70: Identify the correct setup to convert $5\text{ ft}$ to inches using a unit fraction.

Answer: $5\text{ ft}\times\frac{12\text{ in}}{1\text{ ft}}$. Unit fraction method: multiply by conversion factor with ft canceling.

Flashcard 71: What is the conversion factor from liters to milliliters?

Answer: $1\text{ L}=1000\text{ mL}$. Metric conversion: one liter equals one thousand milliliters.

Flashcard 72: What is $150\ \text{min}$ in hours?

Answer: $2.5\ \text{hr}$. Divide by 60 since 60 minutes = 1 hour.

Flashcard 73: What is $2.5\text{ hr}$ in minutes?

Answer: $150\text{ min}$. Multiply: $2.5\text{ hr} \times 60\text{ min/hr} = 150\text{ min}$.

Flashcard 74: What is $250\ \text{cm}$ in meters?

Answer: $2.5\ \text{m}$. Divide by 100 since 100 cm = 1 meter.

Flashcard 75: What is the conversion factor from milliliters to liters (milliliters per liter)?

Answer: $1000\text{ mL}=1\text{ L}$. Metric volume: 1000 milliliters equals 1 liter.

Flashcard 76: What is $3\text{ yd}$ in feet?

Answer: $9\text{ ft}$. Multiply: $3\text{ yd} \times 3\text{ ft/yd} = 9\text{ ft}$.

Flashcard 77: What is the conversion factor from millimeters to centimeters (millimeters per centimeter)?

Answer: $10\text{ mm}=1\text{ cm}$. Metric system: 10 millimeters equals 1 centimeter.

Flashcard 78: What is $4\text{ L}$ in milliliters?

Answer: $4000\text{ mL}$. Multiply: $4 \times 1000 = 4000$ milliliters.

Flashcard 79: What conversion factor equals $1$ for converting millimeters to centimeters?

Answer: $\frac{1\ \text{cm}}{10\ \text{mm}}$. Since 1 centimeter = 10 millimeters, this fraction equals 1.

Flashcard 80: What is $5\ \text{ft}$ in inches?

Answer: $60\ \text{in}$. Multiply: $5 \times 12 = 60$ inches.

Flashcard 81: What is the conversion factor from hours to minutes?

Answer: $1\text{ hr}=60\text{ min}$. Time conversion: one hour equals sixty minutes.

Flashcard 82: What is the conversion factor from feet to inches?

Answer: $1\text{ ft}=12\text{ in}$. Standard conversion: 12 inches equals one foot.

Flashcard 83: What is $2500\text{ m}$ converted to kilometers?

Answer: $2.5\text{ km}$. Divide by 1000: $2500\text{ m} \div 1000 = 2.5\text{ km}$.

Flashcard 84: What is $84\text{ in}$ in feet?

Answer: $7\text{ ft}$. Divide $84 \div 12 = 7$ feet.

Flashcard 85: What is $4\text{ ft}^2$ in square inches?

Answer: $576\text{ in}^2$. Square the linear conversion: $(12)^2 = 144\text{ in}^2$ per $\text{ft}^2$.

Flashcard 86: What is the conversion factor from days to hours?

Answer: $1\text{ day}=24\text{ hr}$. Time conversion: 24 hours equals one day.

Flashcard 87: What is $0.5\text{ mi}$ in feet?

Answer: $2640\text{ ft}$. Multiply: $0.5 \times 5280 = 2640$ feet.

Flashcard 88: What is the conversion factor from yards to feet (feet per yard)?

Answer: $3\text{ ft}=1\text{ yd}$. Standard conversion: 3 feet equals 1 yard.

Flashcard 89: What is $7\text{ yd}$ in feet?

Answer: $21\text{ ft}$. Multiply: $7\text{ yd} \times 3\text{ ft/yd} = 21\text{ ft}$.

Flashcard 90: State the conversion factor between inches and feet.

Answer: $1\text{ ft}=12\text{ in}$. Standard imperial conversion: 1 foot equals 12 inches.

Flashcard 91: State the conversion factor between pints and quarts.

Answer: $1\text{ qt}=2\text{ pt}$. Standard volume conversion: 1 quart equals 2 pints.

Flashcard 92: What is $0.75\ \text{kg}$ in grams?

Answer: $750\ \text{g}$. Multiply by 1000 since 1 kg = 1000 grams.

Flashcard 93: What conversion factor equals $1$ for converting grams to kilograms?

Answer: $\frac{1\ \text{kg}}{1000\ \text{g}}$. Since 1 kilogram = 1000 grams, this fraction equals 1.

Flashcard 94: What is $0.6\text{ km}$ in meters?

Answer: $600\text{ m}$. Multiply: $0.6\text{ km} \times 1000\text{ m/km} = 600\text{ m}$.

Flashcard 95: What is $4\text{ cm}^3$ in cubic millimeters?

Answer: $4000\text{ mm}^3$. Cube the conversion: $4 \times 10^3 = 4000$ cubic millimeters.

Flashcard 96: What is $0.5\text{ m}$ in centimeters?

Answer: $50\text{ cm}$. Multiply $0.5 \times 100 = 50$ centimeters.

Flashcard 97: What is $2\text{ mi}$ in feet?

Answer: $10560\text{ ft}$. Multiply $2 \times 5280$ since $1\text{ mi} = 5280\text{ ft}$.

Flashcard 98: What is the conversion factor from pounds to ounces?

Answer: $1\text{ lb}=16\text{ oz}$. US weight: 16 ounces equals one pound.

Flashcard 99: What is $3\text{ kg}$ in grams?

Answer: $3000\text{ g}$. Multiply $3 \times 1000 = 3000$ grams.

Flashcard 100: Identify the correct setup to convert $5\text{ ft}$ to inches.

Answer: $5\text{ ft}\times\frac{12\text{ in}}{1\text{ ft}}$. Multiply by conversion factor with feet canceling out.