AZSCI Scale, Proportion, and Quantity

Question 1

A scale model of a building uses a ratio of 1:100. If the model is 0.5 meters tall, how tall is the actual building?

Accepted Answer

50 meters

Answer

Multiply the model measurement by the scale factor: 0.5 m × 100 = 50 meters.

Question 2

Which unit of measurement would be most appropriate for expressing the diameter of an atom?

Accepted Answer

Nanometers (nm)

Answer

Atoms are typically 0.1–0.5 nm in diameter, making nanometers the appropriate unit for atomic-scale measurements.

Question 3

A scientist measures a bacterial cell and finds it is 0.002 mm in diameter. Written in scientific notation, this measurement is:

Accepted Answer

2 × 10⁻³ mm

Answer

0.002 mm = 2 × 10⁻³ mm; scientific notation requires exactly one non-zero digit before the decimal point.

Question 4

If a map has a scale of 1 cm = 50 km, and two cities are 6 cm apart on the map, what is the actual distance between them?

Accepted Answer

300 km

Answer

Multiply the map distance by the scale factor: 6 cm × 50 km/cm = 300 km.

Question 5

Which of the following correctly arranges these lengths from smallest to largest: 1 km, 1 cm, 1 mm, 1 m?

Accepted Answer

1 mm, 1 cm, 1 m, 1 km

Answer

1 mm < 1 cm < 1 m < 1 km; each unit is 10× or 1000× larger than the previous.

(AZSCI) Arizona Science Test Practice Test