Unit 1: Ratio, Rate, & Proportion
Unit 1 Review: Ratio, Rate, & Proportion
Questions
- Write the ratios asked for in the questions. Reduce when needed.
- It snowed for two days and was sunny for five days last week. Write a ratio to compare snowy days to sunny days.
- The class spends 6 hours a week on math and 8 hours on English. Write the ratio of hours spent on math to English.
- One kilogram of pork will make enough sausages for 7 people. Write a ratio to express the amount of pork for sausages to the number of people.
- A jam recipe calls for 8 cups of blue berries to 3 cups of sugar. Write a ratio to express the amount of berries to sugar.
- Write the ratios in lowest terms.
- [latex]14:21[/latex]
- [latex]8:24[/latex]
- [latex]15:150[/latex]
- [latex]9:54[/latex]
- Write the following ratios as rates.
- 16 cups of water to 4 cups of sugar
- 150 kilometres to 1.25 hours
- 465,000 people to 3,000 square kilometres
- $3.99 to 10 pounds of apples
- Use cross multiplication to solve the proportions.
- [latex]\dfrac{5}{8}=\dfrac{\textit{P}}{24}[/latex]
- [latex]\dfrac{\textit{S}}{100}=\dfrac{8}{25}[/latex]
- [latex]\dfrac{4}{\textit{N}}=\dfrac{8}{40}[/latex]
- [latex]\dfrac{4}{14}=\dfrac{\textit{F}}{68}[/latex]
- Use cross multiplication to solve the proportions.
- [latex]\dfrac{2\frac{1}{4}}{5}=\dfrac{\textit{A}}{30}[/latex]
- [latex]\dfrac{11}{8}=\dfrac{4\frac{1}{8}}{\textit{P}}[/latex]
- [latex]\dfrac{3\frac{3}{4}}{5}=\dfrac{8}{\textit{X}}[/latex]
- [latex]\dfrac{2\frac{2}{3}}{3}=\dfrac{\textit{A}}{16}[/latex]
Answers to Unit 1 Review
-
- [latex]2:5[/latex]
- [latex]6:8[/latex]
- [latex]1\text{ kg}:7\text{ people}[/latex]
- [latex]8\text{ cups berries}:3\text{ cups sugar}[/latex]
-
- [latex]2:3[/latex]
- [latex]1:3[/latex]
- [latex]1:10[/latex]
- [latex]1:6[/latex]
-
- 4 cups water per cup of sugar
- 120 km/hour
- 155 people per km2
- $0.40 per pound of apples
-
- [latex]15[/latex]
- [latex]32[/latex]
- [latex]20[/latex]
- [latex]19.43[/latex]
-
- [latex]13\frac{1}{2}[/latex]
- [latex]3[/latex]
- [latex]10\frac{2}{3}[/latex]
- [latex]14\frac{2}{9}[/latex]
TEST TIME!
Ask your instructor for the Practice Test for this unit.
Once you’ve done the Practice Test, you need to do the Unit 1 test.
Again, ask your instructor for this.
Good luck!