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Math · Plane Geometry

Medium Plane Geometry Drill

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

Medium Math Plane Geometry

All 15 questions

  1. 1 Area of a Triangle A triangle has base 6 cm and height 5 cm. What is its area in square centimeters? Medium
  2. 2 Area of a Circle What is the area of a circle with radius 4? Express your answer in terms of π. Medium
  3. 3 Pythagorean Theorem A right triangle has legs of length 8 and 15. What is the length of its hypotenuse? Medium
  4. 4 Perimeter of a Rectangle A rectangle has length 9 and width 3. What is its perimeter? Medium
  5. 5 Area of a Triangle A triangle has base 12 cm and height 5 cm. What is its area in square centimeters? Medium
  6. 6 Area of a Circle What is the area of a circle with radius 5? Express your answer in terms of π. Medium
  7. 7 Pythagorean Theorem A right triangle has legs of length 3 and 4. What is the length of its hypotenuse? Medium
  8. 8 Perimeter of a Rectangle A rectangle has length 12 and width 3. What is its perimeter? Medium
  9. 9 Area of a Triangle A triangle has base 12 cm and height 5 cm. What is its area in square centimeters? Medium
  10. 10 Area of a Circle What is the area of a circle with radius 5? Express your answer in terms of π. Medium
  11. 11 Pythagorean Theorem A right triangle has legs of length 6 and 8. What is the length of its hypotenuse? Medium
  12. 12 Perimeter of a Rectangle A rectangle has length 12 and width 8. What is its perimeter? Medium
  13. 13 Area of a Triangle A triangle has base 12 cm and height 9 cm. What is its area in square centimeters? Medium
  14. 14 Area of a Circle What is the area of a circle with radius 7? Express your answer in terms of π. Medium
  15. 15 Pythagorean Theorem A right triangle has legs of length 6 and 8. What is the length of its hypotenuse? 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.

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