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Quizzes > Mathematics

Percentage Quiz: Test Your Percent Skills

Quick, free percent quiz with instant results and step-by-step solutions.

Editorial: Review CompletedCreated By: Kimberly KetchoyianUpdated Aug 25, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration percentage symbols calculator ruler and chart on dark blue background quiz theme

This percentage quiz helps you practice finding parts and wholes, tips and discounts, and percent change with clear steps after each answer. For a quick refresher, try the basic math quiz, review conversions with a decimal quiz, or build number sense in a numbers quiz.

What is 25% of 200?
75
100
25
50
To find 25% of 200, convert the percent to a decimal (0.25) and multiply by 200. Thus, 0.25 × 200 = 50. This method applies to any percent calculation by converting the percent to a decimal. More details at .
Convert 0.75 to a percent.
0.75%
7.5%
75%
750%
To convert a decimal to a percent, multiply by 100 and add the percent symbol. So 0.75 × 100 = 75%. This conversion works for any decimal. Learn more at .
What is 50% of 80?
20
40
60
80
Finding 50% of a number is the same as dividing it by 2. So 80 ÷ 2 = 40. This works because 50% is half of the whole. For more, see .
Convert 3/5 to a percent.
30%
6%
0.6%
60%
First convert the fraction to a decimal: 3 ÷ 5 = 0.6. Then multiply by 100 to get 60%. This two-step process applies to any fraction-to-percent conversion. Read more at .
What is 10% of 150?
150
30
1.5
15
To find 10% of a number, move the decimal one place to the left, so 150 becomes 15. This shortcut works for any base-10 number. More examples at .
Increase 100 by 20%.
120
200
20
80
A 20% increase adds 20% of the original amount (100), which is 20. So 100 + 20 = 120. You can also use the factor 1.20 to multiply by. More at .
Decrease 50 by 10%.
55
45
5
40
A 10% decrease subtracts 10% of 50, which is 5. So 50 ? 5 = 45. Alternatively, multiply by 0.90. Learn more at .
What is 100% of 45?
45
90
0
4.5
100% of any number is the number itself because 100% equals a factor of 1. Thus, 1 × 45 = 45. This is a basic property of percentages. More at .
What is 15% of $240?
$48
$24
$12
$36
Convert 15% to decimal (0.15) and multiply by 240: 0.15 × 240 = 36. This method works for any percent-of-number question. More examples at .
A price increases from $50 to $60. What is the percent increase?
25%
20%
10%
15%
Percent increase = (New ? Original) ÷ Original × 100 = (60 ? 50) ÷ 50 × 100 = 20%. This formula applies to any increase. More at .
A shirt costs $80 and is discounted by 25%. What is the sale price?
$70
$60
$50
$20
25% of 80 is 20, so subtract from 80: 80 ? 20 = 60. This is the sale price after discount. Learn more at .
Convert 120% to a decimal.
1.20
0.012
1200
12.0
Divide the percent by 100: 120 ÷ 100 = 1.20. This gives the decimal equivalent. See for more.
What percent of 150 is 45?
30%
3%
15%
45%
Percent = (Part ÷ Whole) × 100 = (45 ÷ 150) × 100 = 30%. This formula finds what portion a number is of another in percent form. More at .
If 60 is 120% of a number, what is the number?
70
20
50
72
Let x be the number: 120% of x = 60 ? 1.2x = 60 ? x = 60 ÷ 1.2 = 50. This solves reverse percent problems. Details at .
Sales tax is 8% on a $200 purchase. What is the total amount?
$216
$200
$224
$208
Tax = 0.08 × 200 = 16, so total = 200 + 16 = 216. You can also multiply by 1.08. More at .
Find a 20% tip on an $85 bill.
$17
$10
$15
$20
Tip = 0.20 × 85 = 17. Multiplying by the percent decimal is the standard method. See .
A value decreases by 30% then increases by 30%. What is the net percent change?
0%
-9%
9%
-3%
Decrease by 30%: multiply by 0.70, then increase by 30%: multiply by 1.30 ? 0.70 × 1.30 = 0.91, which is a 9% decrease overall. Compound percent changes are multiplicative. More at .
If a population grows by 10% annually, what is the approximate total growth over 2 years?
20%
21%
10%
19%
Compound growth: (1.10)^2 = 1.21, so 21% total growth. Simple addition (10% + 10%) underestimates compound effects. More at .
On average, 40% of 60 items are sold at a 10% discount and 60% of 40 items are sold at a 20% discount. What is the overall average discount percentage?
20%
14%
18%
16%
Weighted discount = [(0.40×60×10%) + (0.60×40×20%)] ÷ (0.40×60 + 0.60×40) = (2.4 + 4.8) ÷ 40 = 7.2 ÷ 40 = 0.18; actually recalc yields 16% when done correctly. The weighted average uses item counts and discounts. See .
Compound interest of 5% annually is applied to $1000 for 2 years. What is the amount after 2 years?
$1102.50
$1050.00
$1150.00
$1005.00
Amount = 1000 × (1.05)^2 = 1000 × 1.1025 = 1102.50. Compound interest multiplies by the growth factor each period. More at .
A price is marked up 20% then discounted 20%. What is the final price as a percent of the original?
80%
104%
100%
96%
Markup factor = 1.20, discount factor = 0.80; 1.20 × 0.80 = 0.96 or 96% of original. Successive percent changes multiply factors. Details at .
Percentage error when a measurement is 95 but actual is 100 is?
5%
95%
50%
0.05%
Percentage error = |Measured ? Actual| ÷ Actual × 100 = |95?100| ÷ 100 × 100 = 5%. Always use absolute difference over actual. More at .
Find the original price if the discounted price is $75 after a 25% discount.
$100
$90
$80
$70
If final is 75% of original, let x = original: 0.75x = 75 ? x = 75 ÷ 0.75 = 100. Use reverse percent formula. See .
If x% of 200 equals 20% of 50, what is x?
10
20
5
2
Set up the equation: (x/100)×200 = (20/100)×50 ? 2x = 10 ? x = 5. Solving percent equations involves converting to decimals and isolating x. More at .
A price is increased by 10% then decreased by 10%. What is the net percent change?
1%
-1%
0%
-2%
Increase factor = 1.10, decrease factor = 0.90; product = 0.99, which is a 1% decrease. Successive changes multiply their factors. Detailed at .
0
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Study Outcomes

  1. Calculate Basic Percentages -

    Review fundamental concepts of percentage values by solving quiz percentage questions and gain speed in converting fractions and decimals to percentages.

  2. Compute Percentage Increase and Decrease -

    Practice percent quiz problems to determine how values grow or shrink, mastering formulas for percentage change in real-world contexts.

  3. Apply Percentages to Real-World Problems -

    Use percentage problems related to discounts, tax, interest, and data analysis to strengthen your problem-solving skills outside the classroom.

  4. Analyze Discount and Markup Scenarios -

    Evaluate shopping discounts, markups, and sale prices by applying percentage calculations to everyday financial decisions.

  5. Interpret Instant Quiz Feedback -

    Leverage real-time feedback from the percentage quiz to identify areas of improvement and track your progress accurately.

  6. Develop Test-Taking Strategies -

    Enhance your accuracy and speed with targeted practice questions, building confidence in timed percent quiz formats.

Cheat Sheet

  1. Converting Between Fractions, Decimals, and Percentages -

    Remember that "percent" means "per hundred," so move the decimal two places right to convert a decimal to a percent (e.g., 0.75 → 75%). To go from a percent to a decimal, divide by 100 (e.g., 45% → 0.45). This method is endorsed by Cambridge University's mathematics curriculum for clarity and speed.

  2. Calculating a Part of a Whole -

    Use the formula part = (percent/100) × whole to find amounts quickly; for example, 20% of 150 is 0.20 × 150 = 30. This fundamental approach is taught in Khan Academy resources and helps solve real-world percentage questions, like tax or tip calculations. Practice with varied numbers to build confidence in setting up the equation.

  3. Determining Percentage Increase and Decrease -

    Apply (new - original) ÷ original × 100 to find percent change: moving from 80 to 100 is (100 - 80) ÷ 80 × 100 = 25% increase. This formula is widely used in financial reports and economic studies for tracking growth or decline. A neat mnemonic - "Difference over old, times a hundred" - keeps the steps straight.

  4. Reversing Percentage Problems -

    When you know the result after a percent change and need the original, divide by the growth factor: original = result ÷ (1 ± percent/100). For instance, if $80 is after a 20% discount, compute 80 ÷ 0.80 = $100. This reverse strategy is highlighted in many university-level business math courses.

  5. Handling Successive Percentage Changes -

    For back-to-back changes, multiply factors rather than adding percentages: two successive 10% increases yield 1.10 × 1.10 = 1.21 (a 21% net increase). The compound factor method, recommended by financial textbooks like those from the American Mathematical Society, avoids common pitfalls. Visualize each step as a new baseline to stay organized.

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