Convert rates and units in several steps

Grade 9 Math Worksheet - Challenge Me

Circle the best answer.

1. 1.

   One gallon of paint covers 350 square feet. Ren paints a wall of 14 square yards (1 yd = 3 ft). How many gallons are needed?

   • 1.08 gallons
   • 0.36 gallons
   • 0.12 gallons
   • 0.04 gallons
2. 2.

   Carpet costs $24 per square yard. Kira's room is 15 feet by 12 feet (1 yd = 3 ft). What does the carpet cost?

   • $160
   • $480
   • $4,320
   • $1,440
3. 3.

   A bag holds 1.5 cubic feet of soil. Bo's garden bed needs 3 cubic yards (1 yd = 3 ft). How many bags are needed?

   • 6 bags
   • 2 bags
   • 54 bags
   • 18 bags
4. 4.

   A car goes 28 miles per gallon and drives at 56 miles per hour. Gas costs $3.50 per gallon. Milo finds the cost per hour. What is it?

   • 2 gallons per hour
   • $0.57 per hour
   • $1.75 per hour
   • $7.00 per hour
5. 5.

   A printer prints 20 pages per minute. A ream of 500 sheets costs $4.50. Esme finds the paper cost per hour of printing. What is it?

   • $10.80 per hour
   • 2.4 reams per hour
   • $1.88 per hour
   • $0.53 per hour
6. 6.

   A freight elevator carries at most 1,500 pounds. Each crate weighs 14 kilograms (1 kg = 2.2 lb). Zee asks: what is the most crates it can carry?

   • 49 crates
   • 235 crates
   • 107 crates
   • 48 crates
7. 7.

   A cooler holds 20 gallons (1 gallon = 3.8 liters). Luz fills it with 0.75-liter bottles. What is the most bottles that fit?

   • 102 bottles
   • 101 bottles
   • 7 bottles
   • 26 bottles
8. 8.

   Jun hears a claim: 60 km/h is faster than 40 mph (1 mile = 1.6 km). Which verdict is correct?

   • No: 40 mph is 64 km/h, so 40 mph is faster.
   • Neither: km/h and mph are different units, so they cannot be compared.
   • Yes: 40 mph is just 25 km/h, so 60 km/h is faster.
   • Yes: 60 is greater than 40, so 60 km/h is faster.
9. 9.

   Ari hears a claim: a 5 kg bag weighs more than a 10 lb bag (1 kg = 2.2 lb). Which verdict is correct?

   • Neither: kg and lb are different units, so they cannot be compared.
   • Yes: 10 lb is about 4.5 kg, so the 5 kg bag is heavier.
   • No: 10 lb is 22 kg, so the 10 lb bag is heavier.
   • No: 10 is greater than 5, so the 10 lb bag is heavier.
10. 10.

    Tala hears a claim: 12 feet per second is about 8 miles per hour (5,280 feet in a mile). Which verdict is correct?

    • Yes: 12 × 3,600 ÷ 5,280 is about 8.2 mph, close to 8.
    • No: 12 is not 8, so the claim is wrong.
    • Neither: ft/s and mph are different units, so they cannot be compared.
    • No: 12 × 5,280 ÷ 3,600 is 17.6 mph, far from 8.