Timed Mini Exam 21 — Timed Mini Exams

Questions in this quiz (10)

1. If the probability of rain on any given day in city x is 50 percent, what is the probability it will rain on exactly 3 days in a five day period?

   • $$\frac{5}{16}$$
   • $$\frac{1}{4}$$
   • $$\frac{3}{5}$$
   • $$\frac{2}{5}$$

2. If $$\frac{5}{4x+6} = \frac{3}{5}$$, what is the value of $$x$$?

   • $$\frac{4}{5}$$
   • $$\frac{3}{4}$$
   • $$\frac{2}{3}$$
   • $$\frac{7}{12}$$

3. Evaluate the expression:$${1\frac{2}{3} - \frac{1}{2}} \over {\frac{1}{2} - \frac{2}{3}}$$

   • -1
   • 0
   • 1
   • -7

4. A rectangular box is $$6\sqrt{2}$$ inches high, $$6\sqrt{2}$$ inches wide, and 5 inches deep. What is the greatest possible straight-line distance, in inches, between any two points on the box?

   • $$10$$
   • $$6\sqrt{2}$$
   • $$12\sqrt{2}$$
   • $$13$$

5. If a potato peeler peels 4 potatoes in $$\frac{3}{4}$$ of a second, how many potatoes does it peel in 5 minutes?

   • $$360$$
   • $$1360$$
   • $$1600$$
   • $$2000$$

6. What is the value of $$2a^2+4a$$ if $$(x-a)(x-7)=x^2-4x-21$$ for all $$x$$ and $$a$$ is a constant?

   • 5
   • 6
   • 10
   • 12

7. What is the largest possible value of $$z$$ if $$4x+(z-27)^2=36$$ and $$-7\le x\le 8$$?

   • 35
   • 70
   • 75
   • 63

8. Three vertices of a rectangle are given in the standard $$x,y$$ coordinate plane: $$(0,3), (6,-1), (8,2)$$. What are the coordinates of the fourth vertex?

   • $$(2,6)$$
   • $$(3,2)$$
   • $$(2,3)$$
   • $$(3,6)$$

9. In the diagram below, triangle ABC is equilateral and triangle BCD is isosceles. What is the measure of angle BDC?

   • $$60^\circ$$
   • $$30^\circ$$
   • $$25^\circ$$
   • $$45^\circ$$

10. Given that $$\cos\angle E = \frac{1}{3}$$ for right triangle DEF, what is the value of $$\sin\angle E$$?

    • $$\frac{2\sqrt{2}}{3}$$
    • $$\frac{2}{3}$$
    • $$\frac{\sqrt{2}}{2}$$
    • $$\frac{\sqrt{3}}{3}$$