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SAT Percentage and Compound Changes Practice Quiz

SAT Percentage and Compound Changes Practice Quiz

1 / 15

An investment grows by 10% annually. If the initial investment is $1,000, what is the total amount after 3 years, expressed as a percentage of the initial investment?

2 / 15

A company's revenue increased by 20% in the first quarter and then decreased by 10% in the second quarter. If the initial revenue was $500,000, what was the revenue at the end of the second quarter?

3 / 15

A car's value depreciates by 15% each year. If the car's initial value is $20,000, what will its value be after 2 years?

4 / 15

A population of bacteria doubles every hour. If the initial population is 500, what will be the population after 3 hours, expressed as a percentage of the initial population?

5 / 15

A store offers a 20% discount on an item originally priced at $250. After the discount, a 10% sales tax is applied. What is the final price of the item?

6 / 15

If a is 10% of b, and a = 40, what is the value of b?

7 / 15

What number is 25% of 480?

8 / 15

What is 60% more than 200?

9 / 15

Determine the percentage decrease from 120 to 96.

10 / 15

What is 20% less than 500?

11 / 15

Find x if x is 45% of 800.

12 / 15

Calculate the percentage increase from 250 to 325.

13 / 15

If y is 15% of z, and y = 90, what is the value of z?

14 / 15

What number is 30% of 600?

15 / 15

If x is what percent of 400, and x = 100, find the value of the percent.

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About This Quiz

The foundational concept for these questions is the calculation and application of percentages and compound changes. Percentages are a way of expressing a number as a fraction of 100, often used to represent proportions or changes in quantities. Compound changes involve applying multiple percentage changes sequentially, such as increases followed by decreases or vice versa.

Key formulas and steps include:

  • Calculating a Percentage: [latex] \\text{Percentage} = \\left( \\frac{\\text{Part}}{\\text{Whole}} \\right) \\times 100 [/latex]
  • Applying a Percentage Change: New Value = Original Value \\times (1 \\pm \\text{Percentage Change})
  • Sequential Percentage Changes: Apply each percentage change step-by-step, using the result of one change as the starting point for the next.

Success Tips for Answering Percentage and Compound Changes Questions:

  1. Understand the Problem Context: Carefully read the problem to determine whether you need to calculate a percentage, apply a percentage change, or handle sequential changes. Identify the initial values and the desired outcomes.
  2. Use Formulas Consistently: Always use the appropriate formulas for calculating percentages and applying percentage changes. Remember to convert percentages to decimals before performing calculations.
  3. Break Down Compound Changes: When dealing with multiple percentage changes, break the problem into smaller steps. Calculate the effect of each change sequentially rather than trying to combine them into a single calculation.
  4. Check Your Work: After completing your calculations, review your steps to ensure accuracy. Verify that your intermediate results make sense and lead logically to the final answer.
  5. Practice with Different Scenarios: Familiarize yourself with various types of percentage and compound change problems. Practice different scenarios, including discounts, markups, depreciation, and growth rates, to build confidence and proficiency.