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

5 meters

Answer

500 meters

Answer

0.05 meters

Question 2

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

Accepted Answer

Nanometers (nm)

Answer

Millimeters (mm)

Answer

Centimeters (cm)

Answer

Meters (m)

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

2 × 10³ mm

Answer

0.2 × 10⁻² mm

Answer

20 × 10⁻⁴ mm

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

56 km

Answer

30 km

Answer

3,000 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 cm, 1 mm, 1 m, 1 km

Answer

1 mm, 1 m, 1 cm, 1 km

Answer

1 km, 1 m, 1 cm, 1 mm

Question 6

When scientists say that Earth's age is on the order of 10⁹ years, they mean Earth is approximately:

Accepted Answer

1 billion years old

Answer

1 million years old

Answer

1 trillion years old

Answer

100 million years old

Question 7

Which of the following best represents a directly proportional relationship between two variables?

Accepted Answer

As one variable doubles, the other also doubles

Answer

As one variable doubles, the other stays the same

Answer

As one variable doubles, the other triples

Answer

As one variable increases, the other randomly changes