Practice Test GeeksAMC12 - American Mathematics Competition 12 Practice Test
← All AMC12 Flashcard Decks

Geometry Flashcards

6 cards from real AMC12 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Geometry flashcards as text

  1. What is the area of a regular hexagon with side length 2?

    Answer: 6sqrt(3)

    Area=(3sqrt(3)/2)*s^2=(3sqrt(3)/2)(4)=6sqrt(3).

  2. A sphere has surface area 100pi. What is its volume?

    Answer: 500pi/3

    4pi*r^2=100pi gives r=5; V=(4/3)pi(125)=500pi/3.

  3. In a right triangle with legs 5 and 12, what is the altitude drawn from the right angle to the hypotenuse?

    Answer: 60/13

    The hypotenuse is 13, and altitude=(5*12)/13=60/13.

  4. An external point is 5 units from the center of a circle with radius 3. What is the tangent segment length?

    Answer: 4

    Tangent length=sqrt(d^2-r^2)=sqrt(25-9)=4.

  5. The diagonals of a parallelogram are 10 and 14 and intersect at right angles. What is the perimeter?

    Answer: 4sqrt(74)

    Each side=sqrt(5^2+7^2)=sqrt(74), so perimeter=4sqrt(74).

  6. What is the circumradius of a triangle with sides 3, 4, and 5?

    Answer: 5/2

    R=abc/(4K)=(3*4*5)/(4*6)=60/24=5/2.