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ACT Math — Geometry — Drill 1

Drill 1 · Math · Geometry

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About This Drill

ACT Math — Geometry — Drill 1 is a Math practice drill covering Geometry. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

Geometry questions on the ACT cover area and perimeter of polygons, angle relationships in triangles, the Pythagorean theorem, composite figures, and coordinate geometry including distance and midpoint.

Questions in This Drill

  1. A rectangle has a length of 14 cm and a width of 6 cm. What is the difference between its perimeter and its area?
  2. In a triangle, one angle measures 47° and another measures 68°. What is the measure of the third angle?
  3. A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?
  4. A figure is formed by placing a semicircle on top of a rectangle. The rectangle has a width of 10 and a height of 6. The semicircle has a diameter equal to the width of the rectangle. What is the total area of the figure, to the nearest whole number? (Use π ≈ 3.14)
  5. Points A and B have coordinates A(−3, 4) and B(5, −2). What is the distance AB, and what are the coordinates of the midpoint of AB?