Mini Exam 48 — Timed Mini Exams

Questions in this quiz (10)

1. The value of a fraction is $$\frac23$$. If $$2$$ is subtracted from the numerator and added to the denominator, the value of the new fraction is $$\frac12$$. Which of the following was the original fraction?

   • $$\frac{12}{18}$$
   • $$\frac23$$
   • $$\frac{10}{20}$$
   • $$\frac46$$

2. The price of a bedroom sofa was discounted by $$20\%$$. Since the sofa was not sold during the first half of the month, it was discounted by an additional $$p\%$$. If the total discount at the end of the month was $$44\%$$ off the original price, what is the value of $$p$$?

   • $$70\%$$
   • $$55\%$$
   • $$30\%$$
   • $$22\%$$

3. The table shows survey results.Based on the table, which of the following is closest to the probability that a person answered “Good,” given that the person did not give the answer “No opinion”?

   • $$0.261$$
   • $$0.403$$
   • $$0.236$$
   • $$0.353$$

4. Jake's scores are shown below.109,117,128,130,134,137,138,151,157,162,162,164If the least score is removed, which of the following will change the most?

   • Median
   • Mode
   • Range
   • Mean

5. The table shows the number of bacteria in a petri dish over time.Which of the following best describes the relationship between time and the total number of bacteria over the course of these four minutes?

   • Linear increase
   • Exponential increase
   • Linear decrease
   • Exponential decrease

6. A sample of $$10$$ boxes gives the following numbers of blue colored lamps:$$237,245,198,215,180,232,189,215,207,201$$Which of the following is closest to the total number of blue colored lamps in all $$300$$ boxes?

   • $$64$$
   • $$640$$
   • $$6,400$$
   • $$64,000$$

7. The angle $$\theta$$ on the unit circle is formed between the segment connecting the origin to the point $$A\left(-\frac{\sqrt2}{2},\frac{\sqrt2}{2}\right)$$ and the positive $$x$$-axis. If the measure of $$\theta$$ can be written as $$\frac{9\pi}{a}$$ radians, what is the value of $$a$$?

   • 12

8. In the figure, $$\overline{DE}$$ is parallel to $$\overline{BC}$$. Given $$AE=5$$, $$DE=8$$, and $$BC=24$$, what is the length of $$EC$$?

   • 10

9. The equation $$(x-2)^2+(y+3)^2=36$$ is a circle. If the center of the circle is translated $$2$$ units up and $$3$$ units left, and the radius is increased by $$2$$, which of the following is an equation of the resulting circle?

   • $$(x+4)^2+(y+5)^2=64$$
   • $$(x-5)^2+(y+1)^2=16$$
   • $$(x+1)^2+(y+1)^2=64$$
   • $$x^2+(y+6)^2=16$$

10. A spherical scoop of ice cream of radius $$6$$ inches is left in a cylindrical glass. If the ice cream completely melts and fills the entire glass to the top and if the scoop and the glass have the same radius, what is the height of the glass?

    • 8