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Quizzes > High School Quizzes > Mathematics

Percents Practice Test & Answer Key

Boost your percents skills with guided review

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Paper art promoting a trivia quiz on solving percent problems for middle school math students.

What is 50% of 100?
75
100
50
25
50% means half of a number. Since half of 100 is 50, the correct answer is 50.
Convert 25% to a decimal.
0.75
0.125
2.5
0.25
To convert a percent to a decimal, divide by 100. Therefore, 25% becomes 0.25.
Convert 50% to a fraction in simplest form.
2/3
1/4
1/2
3/4
50% equals 50/100, which simplifies to 1/2. So the correct fraction is 1/2.
What percent of 200 is 50?
10%
40%
25%
20%
Divide 50 by 200 to get 0.25, then multiply by 100 to get 25%. Thus, 50 is 25% of 200.
If a shirt costs $20 and is on sale for 25% off, what is the discount amount?
$8
$4
$5
$6
25% of $20 is calculated as 0.25 multiplied by 20, which equals $5. Hence, the discount amount is $5.
Calculate 15% of 200.
20
30
35
25
15% of 200 is found by multiplying 200 by 0.15, which equals 30. Therefore, the correct answer is 30.
A student scored 18 out of 24 on a test. What is their percent score?
50%
80%
75%
90%
Dividing 18 by 24 gives 0.75, which when multiplied by 100 converts to 75%. Therefore, the student's score is 75%.
If 40% of a number is 60, what is the number?
180
140
120
150
Let the number be N. Since 40% of N is 60, then N = 60 / 0.40, which equals 150. Hence, the correct answer is 150.
What is the percent increase from 50 to 75?
75%
50%
33.33%
25%
The increase is 75 - 50 = 25. To find the percent increase relative to 50, we compute (25/50)*100 = 50%. Thus, the percent increase is 50%.
What is the percent decrease from 80 to 60?
20%
75%
25%
50%
The decrease is 80 - 60 = 20. The percent decrease is (20/80)*100, which equals 25%. Therefore, the correct answer is 25%.
If a price increases by 10% and then decreases by 10%, is the final price equal to the original price?
Yes
Cannot determine
It remains unchanged
No
An increase of 10% followed by a decrease of 10% does not return the original price because the decrease is applied to a higher amount after the increase. Thus, the final price is lower than the original.
A product originally priced at $100 is marked down by 30%. What is the sale price?
$90
$80
$70
$50
A 30% discount on $100 is $30, so the sale price is $100 - $30 = $70.
If 12 is 30% of a number, what is the number?
50
40
36
30
Representing the problem as (30/100)*N = 12, solving for N gives N = 12 / 0.3, which equals 40. Thus, the number is 40.
What percent of 60 is 18?
30%
40%
20%
25%
Dividing 18 by 60 gives 0.3 and multiplying by 100 gives 30%. Therefore, 18 is 30% of 60.
If a student answers 7 out of 10 questions correctly, what is their percent score?
85%
80%
70%
75%
Since the student correctly answered 7 out of 10 questions, 7/10 equals 0.7 which is 70% when converted to a percent.
A shirt's price was increased by 50% and then decreased by 40%. What is the final price if the original price was $40?
$40
$42
$44
$36
A 50% increase on $40 produces $60. A 40% decrease on $60 subtracts $24, resulting in $36. Thus, the final price is $36.
If x% of a number is 30 and 60% of the same number is 90, what is the value of x?
50
20
40
30
From 60% of the number being 90, the number is 90 / 0.6 = 150. Then, setting up the equation (x/100)*150 = 30 and solving gives x = 20.
During a sale, the price of an item was reduced by 25%, then later an additional 20% discount was applied to the reduced price. What is the overall percent discount from the original price?
45%
40%
50%
55%
After a 25% discount, the price becomes 75% of the original. An additional 20% discount reduces the new price to 80% of 75%, which is 60% of the original. Therefore, the overall discount is 40%.
A school's enrollment increased from 800 to 960 students in one year. What is the percent increase?
15%
25%
20%
30%
The enrollment increased by 160 students (960 - 800). Dividing 160 by the original 800 and multiplying by 100 gives a 20% increase.
If an item's price after a 15% discount is $85, what was the original price?
$105
$90
$100
$95
Let the original price be P. After a 15% discount, the price becomes 0.85P, which is given as $85. Solving 0.85P = 85 yields P = 100.
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Study Outcomes

  1. Identify key components of percent problems.
  2. Apply percent formulas to solve mathematical challenges.
  3. Convert between fractions, decimals, and percentages.
  4. Analyze real-world scenarios using percent calculations.

Percents Unit Study Guide with Answer Key Cheat Sheet

  1. Express numbers as fractions of 100 - Think of percentages as slices of a 100-piece pizza, where each percent is one slice. Converting 25% to 25/100 or 0.25 helps you compare quantities in a snap. This slice-of-pizza mindset makes percent problems tastier! Percentage: Formula, How to Calculate Percentage, Examples & Problems
    2. Percentage: Formula, How to Calculate Percentage, Examples & Problems
  2. Master the basic percent formula - Use Percentage = (Part/Whole) × 100 to find what portion one number is of another. If 20 out of 50 students pass, (20/50) × 100 = 40%, so 40% passed - simple as that! This formula is your trusty calculator sidekick. Percentage (How to Calculate, Formula and Tricks)
    3. Percentage (How to Calculate, Formula and Tricks)
  3. Convert between fractions, decimals, and percentages - Flip between 1/4, 0.25, and 25% in your head to unlock quick problem-solving. Being fluent in all three forms is like having a secret math superpower. Practice with fun quizzes to level up your conversion skills! Percentage (How to Calculate, Formula and Tricks)
    4. Percentage (How to Calculate, Formula and Tricks)
  4. Calculate a percent of a number - Want 15% of 200? Multiply 200 × 0.15 = 30 and voilà - you've got your answer. Turning percentages into decimals and multiplying is the fastest route to victory. Keep a mental calculator ready for speedy work! Percentage: Formula, How to Calculate Percentage, Examples & Problems
    5. Percentage: Formula, How to Calculate Percentage, Examples & Problems
  5. Find the original value from a known percentage - If 20% of a number is 50, reversing the process gives 50 ÷ 0.20 = 250. This backtracking trick is perfect for treasure hunts in math problems. Practice flipping the formula to feel like a percent detective! Solving Problems Based on Percentage
    6. Solving Problems Based on Percentage
  6. Determine what percentage one number is of another - Divide the part by the whole, multiply by 100, and you have your answer. For instance, (30/150) × 100 = 20%, so 30 is 20% of 150. This skill turns any ratio into an easy-to-read percentage. Percent Problems
    7. Percent Problems
  7. Handle percentage increases and decreases - Use [(New - Original) / Original] × 100 for increases and [(Original - New) / Original] × 100 for decreases. This formula helps you track price hikes, test score boosts, or sale discounts effortlessly. Become the trend-watcher of your group! Solving Problems with Percentages
    8. Solving Problems with Percentages
  8. Tackle real-life percent challenges - From sales discounts to tip calculations, percentages pop up everywhere. If an item is $100 with 20% off, $100 × 0.20 = $20 discount, making the final price $80. Practice these everyday scenarios to become a percent pro! Solving Problems with Percentages
    9. Solving Problems with Percentages
  9. Analyze percent change in data - Percent change shows growth or shrinkage in contexts like population shifts or stock prices. Calculate change by [(New - Original) / Original] × 100 to spot trends quickly. This tool turns raw numbers into powerful insights. Solving Problems with Percentages
    10. Solving Problems with Percentages
  10. Use ratio tables for a visual percent guide - Ratio tables help map numbers to percentages in rows and columns, making complex relationships crystal clear. They're perfect for friends who love a neat and organized approach. With a quick glance, you can solve tricky percent puzzles in seconds! Solving Problems Based on Percentage
    11. Solving Problems Based on Percentage
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