ACT Math · Lesson 42

Part VI Review

A mixed, unlabeled review of rates and percents, unit conversion, averages, and multi-step problems from Part VI.

Part VI Review

This review mixes all four Part VI chapters together with no chapter labels, so the first job on each question is to recognize which skill it calls for. The questions follow the order of the chapters, but on the real ACT the same skills arrive in any order.

Use this quick map as you work.

  • Rates, percentages, and proportions: percent change is the change divided by the original value; percentage points are a plain subtraction; direct proportions are solved by cross-multiplying, and inverse proportions keep a fixed product (more workers, less time).
  • Measurement and unit conversion: multiply or divide by the factor once for length, square the factor for area, cube it for volume, and convert distance and time separately in a compound rate such as miles per hour to feet per second.
  • Averages in context: sum = average times count; weight each value in a weighted average; average speed is total distance divided by total time, not the average of two speeds.
  • Multi-step problems: apply sequential percent changes one at a time, and finish every step, including a final unit conversion.

Work each question, check your answer against the wrong choices (they usually match a common mistake), and then review any chapter whose questions slowed you down.

Practice set

Exam mode

Exam mode runs on the clock of the real section and holds the explanations until you submit. You then see your score and an explanation for each question.

  • The exam covers 20 questions.
  • A single timer of 23 min runs for the whole set.

Study mode

Study mode lets you answer each question at your own pace and shows the explanation as soon as you check your answer.

  • The 20 questions appear in a new order each session.
  • The explanation opens when you check each answer.