Practice Test GeeksAIME - American Invitational Mathematics Examination Practice Test
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Geometry Flashcards

6 cards from real AIME 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. The diagonals of a rhombus are 10 and 24. Find its perimeter.

    Answer: 52

    Each side = √(5^2+12^2)=√169=13; perimeter=4×13=52.

  2. In triangle ABC, angle A = 50° and angle B = 70°. What is angle C?

    Answer: 60°

    Angles sum to 180°: C=180-50-70=60°.

  3. A cone has base radius 3 and height 4. Find its slant height.

    Answer: 5

    Slant height = √(r^2+h^2)=√(9+16)=√25=5.

  4. Two similar triangles have corresponding sides in ratio 3:5. What is the ratio of their areas?

    Answer: 9:25

    The ratio of areas equals the square of the ratio of corresponding sides: (3/5)^2=9/25.

  5. Find the distance from point (1, 2) to the line 3x - 4y + 5 = 0.

    Answer: 0

    Distance = |3(1)-4(2)+5|/√(9+16)=|3-8+5|/5=|0|/5=0.

  6. What is the sum of interior angles of a hexagon?

    Answer: 720°

    Sum = (n-2)×180°=(6-2)×180°=720°.