Here are the step-by-step solutions for each problem on the worksheet.
1. Mechanic repairs
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Step 1: Identify how many cars are repaired in one day: 5 cars.
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Step 2: Identify how many days are in a week: 7 days.
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Step 3: Multiply the daily amount by the number of days: $5 \times 7 = 35$.
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Answer: 35 cars
2. Car factory production
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Step 1: Identify the hourly production rate: 6 cars per hour.
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Step 2: Identify the total time: 8 hours.
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Step 3: Multiply the rate by the time: $6 \times 8 = 48$.
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Answer: 48 cars
3. Total tires
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Step 1: Identify tires per car: 4 tires.
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Step 2: Identify the number of cars: 7 cars.
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Step 3: Multiply tires by cars: $4 \times 7 = 28$.
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Answer: 28 tires
4. Dealership sales
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Step 1: Identify daily sales: 9 cars.
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Step 2: Identify days in a week: 7 days.
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Step 3: Multiply daily sales by days: $9 \times 7 = 63$.
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Answer: 63 cars
5. Race distance
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Step 1: Identify laps in the race: 7 laps.
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Step 2: Identify length of one lap: 3 miles.
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Step 3: Multiply laps by length: $7 \times 3 = 21$.
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Answer: 21 miles
6. Parking lot capacity
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Step 1: Identify cars per level: 8 cars.
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Step 2: Identify total levels: 6 levels.
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Step 3: Multiply cars per level by total levels: $8 \times 6 = 48$.
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Answer: 48 cars
7. Fuel usage
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Step 1: Identify fuel used per mile: 4 liters.
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Step 2: Identify total distance: 10 miles.
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Step 3: Multiply fuel per mile by distance: $4 \times 10 = 40$.
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Answer: 40 liters
8. Train transport
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Step 1: Identify cars per trip: 10 cars.
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Step 2: Identify total trips: 5 trips.
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Step 3: Multiply cars per trip by total trips: $10 \times 5 = 50$.
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Answer: 50 cars
9. Factory production lines
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Step 1: Find out how many cars *one* line makes in a day: 8 cars.
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Step 2: Find out how many lines there are: 5 lines.
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Step 3: Multiply the output of one line by the number of lines: $8 \times 5 = 40$.
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Answer: 40 cars
10. Gas consumption (Proportion)
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Step 1: Compare the new distance to the old distance. The car travels 150 miles, which is 3 times farther than 50 miles ($150 \div 50 = 3$).
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Step 2: Since the distance is 3 times longer, the gas needed will be 3 times more.
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Step 3: Multiply the original gas amount by 3: $3 \text{ gallons} \times 3 = 9 \text{ gallons}$.
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Answer: 9 gallons
Final Answer:
1. 35 cars
2. 48 cars
3. 28 tires
4. 63 cars
5. 21 miles
6. 48 cars
7. 40 liters
8. 50 cars
9. 40 cars
10. 9 gallons
Parent Tip: Review the logic above to help your child master the concept of multiplication word problems worksheet grade 5.
