Problem-Solving and Data Analysis: Ratios, Rates, Proportional Relationships — Quiz 2

Questions in this quiz (10)

1. The ratio of the length of segment $$AB$$ to segment $$CD$$ is $$5:2$$. If $$AB=125$$ inches, what is the length of $$CD$$?

   • $$25$$
   • $$40$$
   • $$50$$
   • $$75$$

2. The ratio of $$p$$ to $$q$$ is $$3:5$$, and $$p=27$$. What is the value of $$q$$?

   • $$15$$
   • $$30$$
   • $$45$$
   • $$75$$

3. A submarine is at a depth of $$48$$ fathoms. What is the depth in feet? $$(1\text{ fathom}=6\text{ feet})$$

   • $$8$$
   • $$96$$
   • $$240$$
   • $$288$$

4. A recipe requires $$3.5$$ ounces of sugar per batch. How many pounds of sugar are needed for $$64$$ batches? $$(1\text{ pound}=16\text{ ounces})$$

   • $$7$$
   • $$10$$
   • $$14$$
   • $$16$$

5. A tiger has a mass of $$45$$ kilograms. What is its mass in grams?

   • 45000

6. An object weighs $$\frac{4}{5}$$ of its Earth weight on Planet A and $$\frac{7}{5}$$ of its Earth weight on Planet B. If the object weighs $$150$$ pounds on Earth, how many more pounds does it weigh on Planet B than on Planet A?

   • $$45$$
   • $$60$$
   • $$75$$
   • $$90$$

7. A train travels at $$25$$ meters per second. How many meters does it travel in $$6$$ seconds?

   • $$100$$
   • $$125$$
   • $$150$$
   • $$175$$

8. The ratio of $$x$$ to $$y$$ is equal to the ratio of $$9$$ to $$t$$. If $$x=180$$, what is $$y$$ in terms of $$t$$?

   • $$10t$$
   • $$20t$$
   • $$15t$$
   • $$18t$$

9. A machine processes $$15$$ kilograms of material in $$5$$ minutes. At this rate, how many minutes will it take to process $$120$$ kilograms?

   • $$20$$
   • $$30$$
   • $$40$$
   • $$50$$

10. A car uses $$8$$ gallons of gas to travel $$240$$ miles. At this rate, how many miles can the car travel on $$15$$ gallons?

    • 450