Test Questions for Expressing Probability as Decimals & Percentages (Grade 6)

📚 Quick Study Guide

• 🔢 Decimals to Percentages: To convert a decimal to a percentage, multiply the decimal by 100 and add the percentage symbol (%). For example, 0.25 becomes $0.25 \times 100 = 25\%$.
• ➗ Percentages to Decimals: To convert a percentage to a decimal, divide the percentage by 100. For example, 75% becomes $75 \div 100 = 0.75$.
• 🧮 Probability: Probability is the measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1 (inclusive). You can also express probability as a percentage.
• 📊 Probability as a Fraction: Probability can also be expressed as a fraction. To convert a fraction to a decimal, divide the numerator by the denominator. Then convert the decimal to a percentage as mentioned above.
• 💡 Key Formula: Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Practice Quiz

1. What is the probability, expressed as a decimal, of rolling a 4 on a standard six-sided die?
   1. 0.16
   2. 0.6
   3. 0.66
   4. 0.1667
2. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of picking a blue marble, expressed as a percentage?
   1. 20%
   2. 30%
   3. 50%
   4. 70%
3. What is 0.85 expressed as a percentage?
   1. 0.85%
   2. 8.5%
   3. 85%
   4. 850%
4. Express 40% as a decimal.
   1. 4.0
   2. 0.4
   3. 0.04
   4. 0.004
5. If the probability of an event is $\frac{1}{4}$, express this probability as a percentage.
   1. 14%
   2. 20%
   3. 25%
   4. 40%
6. A spinner has 8 equal sections numbered 1 through 8. What is the probability of spinning an odd number, expressed as a decimal?
   1. 0.25
   2. 0.5
   3. 0.75
   4. 1.0
7. What is the probability, expressed as a percentage, of flipping a coin and getting heads?
   1. 25%
   2. 40%
   3. 50%
   4. 75%