Timed Mini Exam 29 — Timed Mini Exams

Questions in this quiz (10)

1. A circle has center G, and points M and N lie on the circle. Line segments MH and NH are tangent to the circle at points M and N, respectively. If the radius of the circle is 150 millimeters and the perimeter of quadrilateral GMHN is 3,500 millimeters, what is the distance, rounded to the nearest millimeter, between points G and H?

   • 1,607
   • 1,500
   • 1,600
   • 1,670

2. In the figure, $$AB=\sqrt{185}$$ units, $$AC=4$$ units, and $$CE=10$$ units. What is the area, in square units, of triangle $$ADE$$?

   • $$425$$
   • $$\frac{637}{2}$$
   • $$320$$
   • $$\frac{557}{3}$$

3. The greatest common factor of $$18$$, $$45$$, and $$81$$ is:

   • 9
   • 12
   • 18
   • 6

4. In what order should $$\frac{6}{5}$$, $$\frac{9}{13}$$, $$\frac{13}{7}$$, and $$\frac{5}{3}$$ be listed to be arranged in decreasing order?

   • $$\frac{13}{7}$$ > $$\frac{6}{5}$$ > $$\frac{5}{3}$$ > $$\frac{9}{13}$$
   • $$\frac{13}{7}$$ > $$\frac{5}{3}$$ > $$\frac{6}{5}$$ > $$\frac{9}{13}$$
   • $$\frac{5}{3}$$ > $$\frac{13}{7}$$ > $$\frac{6}{5}$$ > $$\frac{9}{13}$$
   • $$\frac{6}{5}$$ > $$\frac{5}{3}$$ > $$\frac{13}{7}$$ > $$\frac{9}{13}$$

5. What is the product of the complex numbers $$(-6i+6)$$ and $$(6i+6)$$?

   • 12
   • 84
   • 36
   • 72

6. How many solutions exist to the equation $$|x|=|2x-1|$$?

   • 1
   • 2
   • 3
   • 0

7. A bag contains 4 red hammers, 10 blue hammers, and 6 yellow hammers. If three hammers are removed from the bag at random and no hammer is returned to the bag after removal, what is the probability that all three hammers will be blue?

   • $$\frac{3}{20}$$
   • $$\frac{3}{10}$$
   • $$\frac{2}{19}$$
   • $$\frac{1}{2}$$

8. A basketball team had a ratio of wins to losses of $$3:1$$. After the team won six games in a row, its ratio of wins to lossesbecame $$5:1$$. How many games had the team won before winning six games in a row?

   • 3
   • 6
   • 9
   • 10

9. Line $$l$$ goes through points $$P$$ and $$Q$$, whose coordinates are $$(0,1)$$ and $$(b,0)$$, respectively. For which of the following values of $$b$$ is the slope of line $$l$$ greater than $$-\frac{1}{2}$$?

   • $$\frac{1}{2}$$
   • $$\frac{3}{2}$$
   • $$\frac{5}{3}$$
   • $$\frac{5}{2}$$

10. The function $$f$$ is defined by $$f(r) = (r - 4)(r + 1)^2$$. If $$f(h - 3) = 0$$, what is one possible value of $$h$$?

    • 2
    • 4
    • -1
    • 1