Ratios, rates, and proportions 2 — Problem Solving & Data Analysis

Questions in this quiz (8)

1. A school district has $$80$$ teachers. A researcher surveyed a random sample of $$25$$ teachers and found that $$10$$ of those surveyed regularly use online learning platforms. Based on this sample, what is the best estimate of the number of teachers in the district who regularly use online learning platforms?

   • $$15$$
   • $$30$$
   • $$32$$
   • $$35$$

2. A convention center has $$12600$$ square feet of usable space for an event. Each booth at the event requires $$12$$ square feet, and each attendee must have at least $$6$$ square feet of additional space. If the organizers plan to set up $$50$$ booths, what is the maximum number of attendees who can safely attend the event?

   • $$1200$$
   • $$1500$$
   • $$1800$$
   • $$2000$$

3. The ratio of the length of line segment $$AB$$ to the length of line segment $$CD$$ is $$5$$ to $$2$$. If the length of line segment $$AB$$ is $$85$$ inches, what is the length, in inches, of line segment $$CD$$?

   • $$17$$
   • $$34$$
   • $$42$$
   • $$52$$

4. The ratio of $$p$$ to $$q$$ is $$3$$ to $$4$$, and $$p = 18$$. What is the value of $$q$$?

   • $$24$$
   • $$32$$
   • $$12$$
   • $$22$$

5. To make a batch of gourmet blueberry scones, a baker needs $$3$$ ounces of sugar for each scone. How many pounds of sugar are needed to make $$64$$ scones? ($$1$$ pound = $$16$$ ounces)

   • $$3$$
   • $$12$$
   • $$64$$
   • $$192$$

6. The weight of an object on Mars is approximately $$\frac{3}{8}$$ of its weight on Earth. The weight of an object on Saturn is approximately $$\frac{11}{4}$$ of its weight on Earth. If an object weighs $$80$$ pounds on Earth, approximately how many more pounds does it weigh on Saturn than it weighs on Mars?

   • $$130$$
   • $$190$$
   • $$200$$
   • $$210$$

7. The ratio $$a:b$$ is equivalent to the ratio $$15:t$$. When $$a=210$$, what is the value of $$b$$ in terms of $$t$$?

   • $$14t$$
   • $$15t$$
   • $$21t$$
   • $$22t$$

8. What is the rate in meters per second a cyclist travels if they go $$120$$ meters in $$15$$ seconds?

   • $$8$$
   • $$12$$
   • $$15$$
   • $$20$$