Ratios, Rates, Proportional Relationships 1 — Problem-Solving and Data Analysis

Questions in this quiz (8)

1. In a factory, the ratio of workers to gadgets produced per hour is $$1$$ to $$12$$. If there are $$w$$ workers working during a particular hour, which of the following expressions represents the number of gadgets produced during that hour?

   • $$\frac{w}{12}$$
   • $$12+w$$
   • $$12w$$
   • $$\frac{12}{w}$$

2. If $$\frac{x}{y}=4$$ and $$\frac{20x}{ky}=5$$, what is the value of $$k$$?

   • $$4$$
   • $$8$$
   • $$16$$
   • $$20$$

3. How many centimeters are equivalent to $$3\frac{1}{2}$$ meters? $$(1\text{ meter }=100\text{ centimeters})$$

   • $$35$$
   • $$35\frac{1}{2}$$
   • $$350\frac{1}{2}$$
   • $$350$$

4. Liam planted a small plant in his yard on January $$1$$, $$2012$$. The height of the plant tripled each year until January $$1$$, $$2015$$, when the plant reached a height of $$81$$ centimeters. What was the height of the plant when it was first planted?

   • $$3$$
   • $$1.25$$
   • $$2$$
   • $$5$$

5. A scientist is studying a metal sample. A piece of the metal is cut into the shape of a cube. The length of an edge of this cube is $$2.50$$ centimeters. If the mass of the cube is $$31.25$$ grams, what is the density of the metal, in grams per cubic centimeter?

   • $$1.25$$
   • $$2$$
   • $$2.5$$
   • $$5$$

6. A machine produces $$36p$$ parts in $$9$$ hours. Which expression represents the number of parts the machine produces in $$5$$ hours at this rate?

   • $$\frac{5p}{9}$$
   • $$20p$$
   • $$\frac{20p}{9}$$
   • $$45p$$

7. The density of a certain liquid is $$850$$ kilograms per cubic meter. A sample of this liquid completely fills a container in the shape of a right circular cylinder with an interior radius of $$0.30$$ meters and an interior height of $$2.0$$ meters. To the nearest whole number, what is the mass, in kilograms, of the liquid in the container?

   • $$480$$
   • $$510$$
   • $$600$$
   • $$720$$

8. A sample of pure silver has a density of $$10.5\frac{g}{cm^3}$$. The sample is in the shape of a cube, where each edge has a length of $$0.8$$ cm. To the nearest whole number, what is the mass, in grams, of this sample?

   • $$4$$
   • $$5$$
   • $$6$$
   • $$7$$