Grade 9 · lesson 4 of 4

Compare percentage-point differences

Compare percentage-point differences

About 18 minutes, plus any extended practice

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Supplied materials

  • Paper or a text document; all cases below are original fictional learning inputs.
  • An adult may read aloud; drawing or spoken answers are valid. No personal health information or physical performance is required.
  • The separate worked case gives laterPercent=85, earlierPercent=65. Subtract the earlier percentage from the later percentage. First identify the quantities and keep their units consistent. The calculation is 85-65=20 percentage points. Round to six decimal places where needed. That result answers this supplied planning question only. It does not establish what a real person did, diagnose a condition or prove physical skill. Compare the units with the question before accepting a number.
  • Fictional case 1: laterPercent=70, earlierPercent=50. What is the modeled result using the stated method?
  • Fictional case 2: laterPercent=80, earlierPercent=60. What is the modeled result using the stated method?
  • Fictional case 3: laterPercent=65, earlierPercent=45. What is the modeled result using the stated method?
  • Fictional case 4: laterPercent=75, earlierPercent=50. What is the modeled result using the stated method?
  • Fictional case 5: laterPercent=90, earlierPercent=70. What is the modeled result using the stated method?
  • Fictional case 6: laterPercent=60, earlierPercent=40. What is the modeled result using the stated method?

Learn the idea

A difference between two percentages is expressed in percentage points. Moving from fifty to sixty percent is ten percentage points, not ten percent relative growth. The supplied fictional accessibility study measures completion of one paper-information task.

Subtract the old completion percentage from the new percentage. These cases increase. A relative change would instead divide by the old percentage before multiplying by one hundred; that answers a different question. Report the requested measure explicitly.

Use the fictional aggregate values only. No real learner or medical data is required. The difference does not establish a cause, a clinical benefit or performance across every audience. It is descriptive evidence for one supplied model.

  1. Mark the facts or constraints in the supplied case.
  2. Apply the method explained above; draw a sequence, table or decision map.
  3. Compare your result with the worked solution and explain the difference.
  4. Complete the new cases, then check the changed-case extension.
Worked example

See the method in action

The separate worked case gives laterPercent=85, earlierPercent=65. Subtract the earlier percentage from the later percentage. First identify the quantities and keep their units consistent. The calculation is 85-65=20 percentage points. Round to six decimal places where needed. That result answers this supplied planning question only. It does not establish what a real person did, diagnose a condition or prove physical skill. Compare the units with the question before accepting a number.

Your turn

Check your reasoning

Your answer is temporary and is not saved to an account. Download your current answer before leaving or reloading. Written work on paper or in another app stays in your own file.

Helpful tips
  • Subtract percentages for their point difference.
  • A descriptive difference alone does not establish why it changed.
Compare percentage-point differences: Fictional case 1: laterPercent=70, earlierPercent=50. What is the modeled result using the stated method?

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

20 percentage points

Subtract the earlier percentage from the later percentage. With laterPercent=70, earlierPercent=50, calculate 70-50=20 percentage points. Results are rounded to six decimal places where needed. This is a supplied model, not a personal health assessment.

Take it further

Changed case: laterPercent=72, earlierPercent=60. Show the operation. Expected: 72-60=12 percentage points; round to six decimal places where needed, retain model limits and explain the units.

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More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. Compare percentage-point differences: Fictional case 2: laterPercent=80, earlierPercent=60. What is the modeled result using the stated method?
Need a hint?
  • Subtract percentages for their point difference.
  • A descriptive difference alone does not establish why it changed.
2. Compare percentage-point differences: Fictional case 3: laterPercent=65, earlierPercent=45. What is the modeled result using the stated method?
Need a hint?
  • Subtract percentages for their point difference.
  • A descriptive difference alone does not establish why it changed.
3. Compare percentage-point differences: Fictional case 4: laterPercent=75, earlierPercent=50. What is the modeled result using the stated method?
Need a hint?
  • Subtract percentages for their point difference.
  • A descriptive difference alone does not establish why it changed.

Your choices are temporary. Feedback appears after you check all the answers.

Nothing here is saved to an account or sent to a teacher. Keep your own notes or download them before leaving. The score describes these questions; it does not certify subject mastery.

Check the subject sources

These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.