Mini Exam 17 — Timed Mini Exams

Questions in this quiz (10)

1. If $$x^m=16^m$$ and $$2^8=16^y$$, what is $$xy$$?

   • $$8$$
   • $$16$$
   • $$32$$
   • $$64$$

2. Maria wants to cut a rope that is 20 feet long into several equal pieces with no rope left over. How many pieces will she have if the length of each piece is the greatest integer possible?

   • $$2$$
   • $$4$$
   • $$5$$
   • $$10$$

3. If the ratio of 7 less than a number and 7 more than the number is 2, what is the number?

   • $$-21$$
   • $$-7$$
   • $$7$$
   • $$14$$

4. A piece of ribbon is cut into three pieces that have lengths in the ratio $$7:8:9$$. The length of the ribbon is 96 centimeters. Each centimeter is worth 75 cents. How much does the smallest piece of ribbon cost in dollars?

   • $$2.10$$
   • $$19.00$$
   • $$21.00$$
   • $$27.00$$

5. A small zoo has lions, tigers, and cheetahs only. The ratio of lions to tigers is $$1:2$$ and the ratio of tigers to cheetahs is $$3:7$$. What percentage of the zoo population is made of lions?

   • $$12.04\%$$
   • $$13.04\%$$
   • $$15.38\%$$
   • $$20\%$$

6. There are 14 books in Sonia’s shelf. There are 20 chapters in each book, 6 lessons in each chapter, and 5 pages in each lesson. Sonia has so far read 10 books fully, and 3 lessons each from 4 other books. How many pages are yet to be read?

   • $$1170$$
   • $$2340$$
   • $$2430$$
   • $$4680$$

7. A botanist did a survey to find out how much time people spend every week in their gardens. The scatterplot shows the results of the survey. Which of the following is true?

   • The total number of people spending 3 and 4 hours at the garden is the same as the total number of people spending 0 hours at the garden.
   • More than half of the respondents spend less than 3 hours at the garden.
   • 5 respondents spend more than five hours at the garden.
   • Everyone surveyed spends at least one hour at the garden.

8. The graph shows the car sales at a dealership. Between which two years did car sales increase the most percentage?

   • 2010-2011
   • 2011-2012
   • 2012-2013
   • 2013-2014

9. A physics professor performs an experiment to measure the friction of a wooden surface. He applies forces on a brick and measures the displacement of the brick. The measurements are shown below.Which of the following models best describes the displacement as a function of the force applied on the brick?

   • $$d=0.3f$$
   • $$d=0.2f$$
   • $$d=0.2f+1$$
   • $$d=0.3f+1$$

10. The scores of a student in four tests are 50, 51, 52, and 53, respectively. How much should the student score in the fifth test if the average score in five tests has to be 54?

    • $$44$$
    • $$54$$
    • $$64$$
    • $$74$$