Scale Diagrams, Ratios & Metric Units
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Practice problems covering scale diagrams, ratio calculations, and metric unit conversions for students.
A larger version of this set: Year 8 Scale Diagrams (20 cards)
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Cards · 20
- Convert 4.5 meters to centimeters
- 4.5 m * 100 cm/m = 450 cm.
- Convert 350 millimeters to centimeters
- 350 mm / 10 mm/cm = 35 cm.
- Convert 2.8 kilometers to meters
- 2.8 km * 1,000 m/km = 2,800 m.
- Convert 75 centimeters to meters
- 75 cm / 100 cm/m = 0.75 m.
- Express the ratio 2 cm to 1 m in simplest form
- Convert to same units: 2 cm to 100 cm. Divide by 2: 1:50.
- Express the ratio 5 mm to 2 cm in simplest form
- Convert to same units: 5 mm to 20 mm. Divide by 5: 1:4.
- Express the ratio 250 m to 1 km in simplest form
- Convert to same units: 250 m to 1,000 m. Divide by 250: 1:4.
- Scale is 1:50. Find the actual length of a 6 cm line.
- Actual = 6 cm * 50 = 300 cm = 3 m.
- Scale is 1:100. Find the actual length of a 4.5 cm line.
- Actual = 4.5 cm * 100 = 450 cm = 4.5 m.
- Scale is 1:20. Find the diagram length for an actual 1.6 m.
- 1.6 m = 160 cm. Diagram = 160 cm / 20 = 8 cm.
- Scale is 1:500. Find the diagram length for an actual 25 m.
- 25 m = 2,500 cm. Diagram = 2,500 cm / 500 = 5 cm.
- A 3 cm line represents 15 m. Find the scale ratio 1:n.
- 15 m = 1,500 cm. Ratio is 3:1,500, which simplifies to 1:500.
- A 5 mm line represents 2 m. Find the scale ratio 1:n.
- 2 m = 2,000 mm. Ratio is 5:2,000, which simplifies to 1:400.
- Scale is 1:25,000. Find actual km for 4 cm on a map.
- 4 cm * 25,000 = 100,000 cm = 1,000 m = 1 km.
- Scale is 1:50,000. Find map cm for an actual distance of 7.5 km.
- 7.5 km = 750,000 cm. Map distance = 750,000 / 50,000 = 15 cm.
- Convert 1.2 square meters to square centimeters
- 1 m^2 = 10,000 cm^2. 1.2 * 10,000 = 12,000 cm^2.
- Convert 500 square millimeters to square centimeters
- 1 cm^2 = 100 mm^2. 500 / 100 = 5 cm^2.
- A map scale is 1:100. A room is 3 cm by 4 cm. Find actual area.
- Actual sides: 300 cm (3 m) and 400 cm (4 m). Area = 3 m * 4 m = 12 m^2.
- A model car scale is 1:24. If the model is 18 cm long, find the real length.
- Actual = 18 cm * 24 = 432 cm = 4.32 m.
- A microchip photo has scale 50:1. If the photo size is 15 mm, find actual size.
- Actual = 15 mm / 50 = 0.3 mm (or 300 micrometers).