Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Mathematics

Percent Error Practice Quiz

Master error calculations with interactive practice tests.

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting a Percent Error Mastery trivia quiz for high school students.

What is the percent error if the experimental value is 105 and the accepted value is 100?
3%
10%
5%
4%
Percent error is calculated as the absolute difference between the experimental and accepted values divided by the accepted value, then multiplied by 100. Here, |105 - 100| = 5, and (5/100)*100 equals 5%.
Calculate the percent error when the measured value is 48 and the accepted value is 50.
5%
2%
8%
4%
The percent error is determined by taking the absolute difference, |48 - 50| = 2, dividing by the accepted value (50), and multiplying by 100, which gives 4%. This shows the measurement is 4% off from the accepted value.
What does percent error measure in an experiment?
The reliability of the experimental method.
The precision of the measuring instrument used.
The accuracy of a measurement by comparing experimental and accepted values.
The speed at which the experiment is conducted.
Percent error quantifies how close the experimental value is to the accepted or true value, thereby representing the accuracy of the measurement. It does not address instrument precision, speed, or reliability directly.
Which formula correctly calculates the percent error?
(|Experimental - Accepted| / Accepted) * 100
(|Experimental + Accepted| / Accepted) * 100
(Experimental - Accepted) / 100
(|Accepted - Experimental| / Experimental) * 100
The correct formula for percent error is the absolute difference between the experimental value and the accepted value, divided by the accepted value, then multiplied by 100. This standard formula highlights the proportional error relative to the accepted value.
Why is the absolute value used in the percent error calculation?
It converts the error into a decimal.
It ensures that the percent error is always a positive value.
It eliminates the effect of multiplying by 100.
It compensates for any measurement fluctuations.
The absolute value is applied to remove any negative sign from the difference between the experimental and accepted values, ensuring the result is a positive number. This process reflects only the magnitude of the error, ignoring direction.
An experiment produced a value of 87 when the accepted value is 90. What is the percent error (rounded to two decimal places)?
3.00%
4.00%
3.33%
2.67%
The percent error is calculated as |87 - 90| divided by 90 times 100, which equals (3/90)*100 or approximately 3.33%. The rounding to two decimal places provides the accurate error percentage.
If the percent error of an experiment is 20% and the accepted value is 50, what is the absolute error?
15
20
5
10
The absolute error is found by multiplying the accepted value by the percent error (expressed as a decimal). In this case, 20% of 50 is 0.20 * 50 = 10.
A lab experiment yields a measured value of 0.98 for a quantity that has an accepted value of 1.00. What is the percent error?
0.2%
2%
1%
20%
The percent error is calculated as |0.98 - 1.00| divided by 1.00 times 100, equating to (0.02/1.00)*100 which is 2%. It indicates a 2% discrepancy between the measured and accepted values.
If an experiment yields a measured value of 110 with an accepted value of 100, what is the percent error?
11%
15%
10%
5%
Using the percent error formula, |110 - 100| divided by 100 multiplied by 100 results in (10/100)*100 which gives 10%. This calculation shows a 10% deviation from the accepted value.
If the accepted measurement is 200 units and the experimental measurement is 190 units, what is the percent error?
5%
10%
2.5%
4%
The percent error is calculated as |200 - 190| divided by 200, multiplied by 100, which equals (10/200)*100 or 5%. This shows a 5% difference from the accepted value.
If an experimental value is lower than the accepted value, how should the percent error be interpreted?
The error is canceled out, giving zero percent error.
The result must be subtracted from 100% to interpret the error correctly.
The percent error is negative, indicating an underestimation.
The percent error is always positive due to the use of absolute value in the calculation.
The percent error formula uses the absolute value of the difference between the experimental and accepted values, which ensures the result is always a positive percentage. This represents the magnitude of the error without indicating direction.
An experimental value of 75 is compared to an accepted value of 70. What is the percent error (rounded to two decimal places)?
5.00%
8.33%
6.67%
7.14%
The percent error is calculated as |75 - 70| divided by 70 times 100, which is (5/70)*100 ≈ 7.14% when rounded to two decimal places. It quantifies the deviation from the accepted value.
What does a percent error of 0% indicate about an experimental measurement?
There is a computational error in the percent error calculation.
The experimental value is significantly higher than the accepted value.
The experimental value exactly matches the accepted value.
The experimental value is significantly lower than the accepted value.
A percent error of 0% means there is no difference between the experimental and accepted values, indicating perfect accuracy in that measurement. It reflects an exact match with no deviation.
Why is the accepted value used in the denominator when calculating percent error?
It ensures that the experimental value is always larger than the accepted value.
It minimizes the calculation error when the experimental value is close to zero.
It simplifies the mathematical process by eliminating negative values.
It provides a standard reference for accuracy by comparing the error to a known, correct value.
The accepted value is used as the basis for comparison because it is the standard or correct value in an experiment. This approach ensures consistency in measuring how far off an experimental value is from what is expected.
A student reports a measurement of 60 units when the correct value is 100 units. What is the percent error of the measurement?
50%
60%
40%
30%
The percent error is computed as |60 - 100| divided by 100 multiplied by 100, which gives (40/100)*100 = 40%. This shows the measurement is 40% lower than the accepted value.
A chemistry experiment yields an experimental composition of 85% for a compound, while the accepted composition is 90%. What is the percent error (rounded to one decimal place)?
5.0%
6.0%
4.5%
5.6%
Percent error is calculated as |85 - 90| divided by 90 times 100, resulting in (5/90)*100 ≈ 5.56%, which rounds to 5.6%. This value indicates the relative difference in the percentage composition.
If an experiment has a percent error of 12.5% and the accepted value is 64, what is the absolute error?
10
8
12.8
6.4
The absolute error is found by multiplying the accepted value by the percent error (in decimal form). Here, 12.5% of 64 is 0.125 * 64, which equals 8.
Given a series of measurements with percent errors of 2%, 4%, 6%, 8%, and 10%, what is the average percent error?
7%
6%
5%
8%
The average percent error is computed by summing all the percent errors and dividing by the number of measurements: (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6%.
In an experiment, two trials yield measured values of 48 and 55, with an accepted value of 50. Which trial has a lower percent error and what is that error?
Both trials have the same percent error.
The trial with 48 has a lower percent error of 10%.
The trial with 55 has a lower percent error of 4%.
The trial with 48 has a lower percent error of 4%.
For the trial with 48, the percent error is |48 - 50|/50*100 = 4%, while for the trial with 55 it is |55 - 50|/50*100 = 10%. Therefore, the 48 measurement is closer to the accepted value with a lower error of 4%.
A researcher calculates a percent error of 15% for a measurement with an accepted value of 200. After recalibration, the percent error drops to 5%. By how many units did the absolute error decrease?
30
10
20
25
Initially, the absolute error is 15% of 200, which is 30 units. After recalibration, it becomes 5% of 200, or 10 units. The decrease in absolute error is 30 - 10 = 20 units.
0
{"name":"What is the percent error if the experimental value is 105 and the accepted value is 100?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"What is the percent error if the experimental value is 105 and the accepted value is 100?, Calculate the percent error when the measured value is 48 and the accepted value is 50., What does percent error measure in an experiment?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Analyze and interpret the concept of percent error.
  2. Calculate percent error from given experimental and theoretical values.
  3. Apply percent error calculations to various scientific and mathematical scenarios.
  4. Evaluate the impact of measurement discrepancies on percent error outcomes.
  5. Assess and troubleshoot potential sources of error in experimental data.

Percent Error Practice Cheat Sheet

  1. Grasp the Percent Error Formula - Dive into the magic of Percent Error = (|Measured − Actual| / Actual) × 100% to see exactly how far off your measurement is! Starting with the basics helps you build a strong foundation for more complex calculations later on. Get the full breakdown from Math is Fun.
  2. Practice with Real‑World Examples - Apply the formula to everyday scenarios (like guessing event attendance!) to make your learning stick. The more you practice with relatable examples, the more confident and quick you'll become. Check out some awesome practice problems at BYJU'S.
  3. Interpret Percent Error Values - Learn why small errors mean you nailed it and big ones mean it's time to double‑check your work. This insight is key for understanding the reliability of any measurement and spotting red flags. Explore expert tips at Unacademy.
  4. Use Absolute Value Correctly - Absolute value ensures you only care about the size of the error, not whether you over‑ or under‑estimated! Embracing this step keeps your calculations consistent and error-free. Get a quick refresher on GeeksforGeeks.
  5. Differentiate Between Percent Error & Percentage Difference - Don't mix up comparing a measured value to a known standard (percent error) with comparing two measurements (percentage difference). Knowing the difference can totally change your conclusions in data analysis! Read more in this BYJU'S guide.
  6. Apply It in Scientific Experiments - Use percent error to see how close your experiment came to the theoretical value, like timing a pendulum swing. This check is a staple in lab reports and experimental write‑ups! See practical examples on Math is Fun.
  7. Spot Common Sources of Error - Learn to identify instrument precision limits, human reaction time, and rounding mistakes that sneak into your measurements. Reducing these sources will shrink your percent error like magic! Find troubleshooting tips at BYJU'S.
  8. Master Different Units and Contexts - Get comfortable converting units and applying the formula whether you're measuring mass, volume, or even grades. Versatility in practice ensures you're ready for any exam question! Practice step‑by‑step guides on GeeksforGeeks.
  9. Understand the Sign of Percent Error - Positive or negative, the sign tells you if you overshot or undershot the mark. This nuance helps you fine‑tune experiments and spot consistent biases in your measurements. Learn the nuances with Math is Fun.
  10. Keep Practicing and Building Confidence - Consistent practice transforms tricky formulas into second nature! Challenge yourself with new problems, track your progress, and celebrate every improvement. Ready for more? Dive into more exercises at BYJU'S.
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Mathematics Quizzes

Powered by: Quiz Maker