Timed Mini Exam 18 — Timed Mini Exams

Questions in this quiz (10)

1. The value of $$\log_5\left(\left(\frac{13}{2}\right)^5\right)$$ is between which of the following pairs of consecutive integers?

   • 0 and 1
   • 4 and 5
   • 5 and 6
   • 6 and 7

2. In the circle with center $$O$$ above, $$PS = 8$$. If $$x = 75$$, then what is the perimeter of the shaded region?

   • $$4$$
   • $$2\sqrt{3} + 4$$
   • $$2\sqrt{3} + 6$$
   • $$\frac{2\pi}{3} - 2\sqrt{3} + 6$$

3. Simplify: $$\sqrt{x - 2\sqrt{xy} + y}$$

   • $$\sqrt{x} - \sqrt{y}$$
   • $$x - y$$
   • $$\sqrt{x-y}$$
   • $$\sqrt{y-x}$$

4. The positive sequence $$s_1, s_2, s_3, \ldots, s_n, \ldots$$ is defined by: $$s_n = s_{n-1} + 5 \text{ for } n \geq 2$$ and $$s_1 = 7$$. Find a formula for the general term $$s_n$$.

   • $$5n$$
   • $$5n + 5$$
   • $$5n + 2$$
   • $$5n - 2$$

5. In the figure shown below, the width of the larger square is equal to the diagonal of the smaller square. Which of the following is true?

   • The area of the smaller square is half the area of the shaded region.
   • The area of the smaller square is twice the area of the shaded region.
   • The area of the smaller square is equal to the area of the shaded region.
   • The area of the smaller square is half the area of the large square.

6. If income from grapefruit sales decreased 45 percent from 2002 to 2003, then which of the following represents the income from grapefruit sales in 2003?

   • $$3646500$$
   • $$9350000$$
   • $$6630000$$
   • $$7650000$$

7. If $$11$$ < y < $$17$$, which of the following is true about the relationship between $$\frac{y + 17}{y}$$ and $$\frac{y + 11}{11}$$?

   • $$\frac{y + 17}{y}$$ > $$\frac{y + 11}{11}$$
   • $$\frac{y + 17}{y}$$ < $$\frac{y + 11}{11}$$
   • $$\frac{y + 17}{y}$$ = $$\frac{y + 11}{11}$$
   • Cannot be determined

8. What is the probability that the sum of two different single-digit prime numbers will not be prime?

   • $$\frac{1}{6}$$
   • $$\frac{3}{4}$$
   • $$\frac{2}{3}$$
   • $$\frac{1}{4}$$

9. What is the sum of the mean and mode for the set$$\{7,9,1,14,2,16,7\}$$?

   • 15
   • 8
   • 14
   • 16

10. Which of the following is the graph, in the standard (x,y) coordinate plane, of $$y=\frac{2x^2+x}{x}$$?