Math

Geometry Hard 3

⏱ 10:00

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• In the figure above, if PQRS is a square and QT = TR, which of the following statements is NOT true?
• The radius of circle A is twice the radius of circle B. If the sum of their circumferences is 36π, then what is the radius of circle A?
• The figure above shows a quadrilateral with one side extended. What is the value of x?
• What is the area of an equilateral triangle if base BC = 6?
• The volume of right cylinder A is twice the volume of right cylinder B. If the height of cylinder B is twice the height of cylinder A, then what is the ratio of the radius of cylinder A to the radius of cylinder B?
• In the figure above, a > 90 and b = c + 3. If a, b and c are all integers, what is the greatest possible value of b?
• In a garden that is divided into x rows of x squares each, w of the squares lie along the boundary of the garden. Which of the following is a possible value for w?
• In the figure above, if AB = 6 and BC = 12, what is the area of the shaded region?
• In the xy-plane, the line mx − 3y = 21 passes through the point (3, 5). What is the value of m?
• The figure above is composed of 25 small triangles that are congruent and equilateral. If the area of triangle DFH is 10, what is the area of triangle AFK?
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