# Worksheet: Comparing Values of Physical Quantities

In this worksheet, we will practice comparing values as ratios, fractions of each other, and as percentages of each other.

**Q1: **

A pendulum takes 5 seconds to complete one oscillation. A shorter pendulum takes only 1 second to complete an oscillation. What fraction of the faster pendulum’s oscillation period is the slower pendulum’s oscillation period?

- A1
- B0.2
- C0.8
- D5
- E0

**Q2: **

Two runways have lengths of 0.8 km and 0.4 km. What fraction of the length of the longer runway is the length of the shorter runway?

- A0.1
- B0.2
- C0.5
- D0.8
- E0.4

**Q3: **

A solar power station is able to generate electrical power for 16 hours of a summer day. What fraction of the day does the power station generate electrical power for? Answer to two decimal places.

- A0.16
- B0.24
- C0.33
- D0.67
- E0.40

**Q4: **

The ratio of the mass of a proton to the mass of an electron is 1,836. What is the ratio of the mass of the electron to that of the proton? Answer to four significant figures.

**Q5: **

What percentage of one hour is one minute? Answer to the nearest percent.

- A60
- B20
- C2
- D1
- E17

**Q6: **

The ratio of the distance between Earth and the Moon to the distance between Earth and the Sun is 0.00257. The distance from Earth to the Sun is 150,000 Mm.

What is the distance from Earth to the Moon? Give your answer to the nearest megameter.

What is the ratio of the distance between Earth and the Sun to the distance between Earth and the Moon? Answer to the nearest whole number.

**Q7: **

The gravitational field strength at the surface of Earth is 9.8 N/kg. The gravitational field strength at the surface of the Moon is 1.6 N/kg. What is the ratio of the gravitational field strength at the surface of Earth to the gravitational field strength at the surface of the Moon? Answer to one decimal place.

**Q8: **

A proton has a charge of , and an electron has a charge of .

What is the ratio of the charge of a proton to the charge of an electron?

What is the ratio of the charge of an electron to the charge of a proton?

**Q9: **

A volume of water of 250 mL freezes, and the volume of the ice that is formed is 273 mL. What is the volume of the water as a percent of the volume of the ice? Answer to the nearest percent.

- A25%
- B92%
- C52%
- D8%
- E48%