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Math · Pre-Algebra

Medium Pre-Algebra Drill

15 medium-difficulty ACT Math questions on Pre-Algebra. Each question is on its own page with a worked answer explanation, the underlying rule, and a quick study tip.

Medium Math Pre-Algebra

All 15 questions

  1. 1 Percent of a Number What is 40% of 150? Medium
  2. 2 Splitting a Total in a Ratio A total of 300 dollars is divided between two people in the ratio 5:10. How much does the Medium
  3. 3 Mean of a Data Set Find the mean of the data set: 8, 6, 9, 12, 12. Medium
  4. 4 Evaluating an Exponent What is the value of 2^3? Medium
  5. 5 Adding Fractions with Different Denominators Compute 2/6 + 3/4. Express the answer in lowest terms. Medium
  6. 6 Percent of a Number What is 25% of 120? Medium
  7. 7 Splitting a Total in a Ratio A total of 120 dollars is divided between two people in the ratio 4:8. How much does the f Medium
  8. 8 Mean of a Data Set Find the mean of the data set: 6, 5, 11, 9, 9. Medium
  9. 9 Evaluating an Exponent What is the value of 3^3? Medium
  10. 10 Adding Fractions with Different Denominators Compute 1/4 + 3/5. Express the answer in lowest terms. Medium
  11. 11 Percent of a Number What is 35% of 40? Medium
  12. 12 Splitting a Total in a Ratio A total of 300 dollars is divided between two people in the ratio 4:6. How much does the f Medium
  13. 13 Mean of a Data Set Find the mean of the data set: 7, 7, 11, 9, 10. Medium
  14. 14 Evaluating an Exponent What is the value of 5^3? Medium
  15. 15 Adding Fractions with Different Denominators Compute 3/4 + 1/6. Express the answer in lowest terms. Medium

How to use this drill

Open the questions one at a time. Read the prompt, decide on an answer before scrolling, then check the explanation. The point of a drill is not to "get the question right" — it's to internalize the rule so you can apply it cold under timed conditions on test day.

If you're missing more than a third of the questions in this set, drop down a difficulty tier and rebuild from there. If you're getting all of them quickly, jump up a tier and try a mixed drill across subtopics.

What "Medium" means here

Medium questions add a layer — multi-step calculation, two competing rules, or a mildly tempting wrong answer that requires careful reading. A student scoring around 26 composite should be solid here; this is also the sweet spot for most score-improvement work.