Multi-Step Problems on Scale Drawings
Tackle multi-step word problems involving scale drawings, map conversions, and proportional reasoning. Combine multiple scaling steps to solve complex real-world scenarios.
Questions
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MultiChoice
On Map A (1 cm = 5 km), two towns are 6 cm apart. How far apart are they on Map B (1 cm = 10 km)?
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MultiChoice
A car is 15 ft long. Model 1 scale is 1 in = 3 ft. Model 2 scale is 1 in = 5 ft. What is the difference in length between models?
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MultiChoice
City A to City B is 4 cm on Map 1 (scale 1 cm = 20 km). What is the actual distance between City A and City B?
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MultiChoice
On a floor plan (1 cm = 2 m), a room is 4 cm by 5 cm. What is the actual area of the room?
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MultiChoice
A tree is 24 ft tall. Model A scale is 1 in = 4 ft; Model B scale is 1 in = 6 ft. How much taller is Model A than Model B?
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MultiChoice
Map scale is 1 cm = 12 km. Town X and Town Y are 5 cm apart on the map. At 60 km/h, how long will driving between them take?
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MultiChoice
Blueprint scale is 1 in = 4 ft. A hallway is 3 in long and 0.5 in wide on blueprint. What is the actual area?
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MultiChoice
Scale is 1 cm = 8 m. Fencing costs $10 per actual meter. On a drawing, fence length is 5 cm. What is total cost?
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MultiChoice
On Map 1 (1 cm = 4 km), a route is 9 cm. On Map 2, the same route is 6 cm. What is Map 2's scale?
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MultiChoice
Scale is 1 in = 50 mi. A trip is 4 inches on the map. At 50 miles per hour, how long will the trip take?
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MultiChoice
Model scale is 1 cm = 3 m. Model base is a square with side 5 cm. What is the actual perimeter of the base?
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MultiChoice
Blueprint scale is 1 in = 4 ft. A wall is 4.5 in long on blueprint. How many 3-foot wall panels are needed?