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.

   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?

   • 54 bags
   • 6 bags
   • 2 bags
   • 18 bags
3. 3.

   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?

   • $0.57 per hour
   • 2 gallons per hour
   • $7.00 per hour
   • $1.75 per hour
4. 4.

   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?

   • $1.88 per hour
   • 2.4 reams per hour
   • $0.53 per hour
   • $10.80 per hour
5. 5.

   Water costs $2.40 per 1,000 liters. A shower uses 9 liters per minute. Pia finds the cost of a 15-minute shower, to the nearest cent. What is it?

   • $17.78
   • 135 liters
   • $0.06
   • $0.32
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?

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

   A shelf holds at most 80 kilograms. Each box weighs 6.4 pounds (1 kg = 2.2 lb). Noah asks: what is the most boxes it can hold?

   • 27 boxes
   • 28 boxes
   • 5 boxes
   • 12 boxes
8. 8.

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

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

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

   • 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.
   • No: 12 is not 8, so the claim is wrong.
   • Yes: 12 × 3,600 ÷ 5,280 is about 8.2 mph, close to 8.
10. 10.

    Store A sells 400 g for $2.40. Store B sells 1 kg for $5.40. Milo hears a claim: A is cheaper because 2.40 is less than 5.40. Which verdict is correct?

    • Yes: A costs $0.96 per kg, less than B's $5.40 per kg.
    • Neither: grams and kilograms are different units, so prices cannot be compared.
    • Yes: $2.40 is less than $5.40, so A is cheaper.
    • No: A costs $6.00 per kg, more than B's $5.40 per kg.