Mini Exam 11 — Timed Mini Exams

Questions in this quiz (10)

1. The table classifies $$120$$ organisms as herbivores, omnivores, or carnivores and as land-dwelling, water-dwelling, or air-dwelling. What fraction of all land and water organisms in the table are omnivores?

   • $$\frac{5}{26}$$
   • $$\frac{4}{19}$$
   • $$\frac{2}{13}$$
   • $$\frac{8}{39}$$

2. For how many values of $$x$$ is the equation $$|x+5|=9$$ true?

   • None
   • One
   • Two
   • Four

3. At a movie theater, $$c$$ dollars is the cost of a child ticket and $$a$$ dollars is the cost of an adult ticket. If $$c$$ is at least $$8$$ dollars less than $$\frac{1}{3} a$$, which inequality describes this relationship?

   • $$c\le\frac{a-8}{3}$$
   • $$c\ge\frac{a-8}{3}$$
   • $$c\le\frac{a}{3}-8$$
   • $$c\ge\frac{a}{3}-8$$

4. In the rectangle above, the sum of the areas of the shaded regions is $$1$$. Segments satisfy:$$AI=2x,\ AB=3x,\ AP=3x,\ AD=4x,\ BR=2x$$Find the area of the unshaded region.

   • $$\frac{1}{3}$$
   • $$1$$
   • $$\frac{7}{5}$$
   • $$\frac{2}{3}$$

5. In the coordinate grid shown, which line segment has slope $$-\frac{3}{4}$$?

   • $$\overline{BE}$$
   • $$\overline{BF}$$
   • $$\overline{AE}$$
   • $$\overline{AF}$$

6. When the three Rivera siblings arrived at school, they each accidentally grabbed someone else’s backpack. In how many ways could the three siblings have been paired with the backpacks so that no one receives their own?

   • One
   • Two
   • Three
   • Six

7. In a straight line, the distance between Oakville and Pinecrest is $$22$$ miles. Between Pinecrest and Lakeshore, the distance is $$15$$ miles. What is the least possible distance, in miles, from Oakville to Lakeshore?

   • $$7$$
   • $$15$$
   • $$22$$
   • $$37$$

8. Let $$a \star b$$ be defined by $$a \star b = a^2 + b^2 - (a + b)$$ for all positive integers $$a$$ and $$b$$. What is the value of $$(5 \star 1) \star 2 ?$$

   • $$240$$
   • $$284$$
   • $$322$$
   • $$382$$

9. In the figure above, each of the 16 small squares is to be colored yellow, blue, or green.• All squares in row 4 will be the same color.• All squares in column 3 will be yellow.• There will be an even number of blue squares.• There will be no restrictions on green squares.• No blue square will share a common side or vertex with a yellow square.What is the greatest possible number of squares that could be colored green?

   • $$7$$
   • $$9$$
   • $$10$$
   • $$8$$

10. Data set $$S$$ has $$15$$ values and is represented by the dot plot shown. Data set $$T$$ is created by adding $$15$$ to each of the values in data set $$S$$. Which of the following correctly compares the medians and the ranges of data sets $$S$$ and $$T$$?

    • The median of data set $$T$$ is equal to the median of data set $$S$$, and the range of data set $$T$$ is also equal to the range of data set $$S$$.
    • The median of data set $$T$$ is greater than the median of data set $$S$$, and the range of data set $$T$$ is equal to the range of data set $$S$$.
    • The median of data set $$T$$ is greater than the median of data set $$S$$, and the range of data set $$T$$ is also greater than the range of data set $$S$$.
    • The median of data set $$T$$ is equal to the median of data set $$S$$, and the range of data set $$T$$ is greater than the range of data set $$S$$.