Proportions and Percents: Competency Quiz
Explain your answers for credit
1. Use algebra with proportional reasoning to solve this question:
If the ratio of fiction books to nonfiction books is 54 to 88, and there are 132 nonfiction
books, fiction books are there?
2. For each of the following percnets:
i) Use a 10 × 10 percent grid to show the percent
ii) Write the percent as a fraction
iii) Write the percent as a decimal
1
a. 72%
b. 346%
c. %
8
3. For each of the following fractions:
i) Write the fraction as a percent (exact or round to two decimal places if repeating)
ii) Write the fraction as a decimal
iii) Use a 10 × 10 percent grid to show the fraction
2
7
125
a.
b.
c.
6
5
1000
4. For each of the following decimals:
i) Use a 10 × 10 percent grid to show the decimal
ii) Write the decimal as a percent
iii) Write the decimal as a fraction
a. 0.53
b. 2.46
c. .0072
These three types are for questions 5 – 10.
I:
Given the percent and the whole, find the part.
II:
Given the whole and the part, find the percent.
III:
Given the percent and the part, find the whole.
5. Use 10 × 10 percent grids to illustrate: What percent of 750 is 315? Is this type I, II or
III?
6. Use a double number line to illustrate: 72.5% of what is 180? Is this type I, II or III?
7. Use 10 × 10 percent grids to illustrate: 125% of 188 is?. Is this type I, II or III?
8. An avid doll collector claims that her 250 doll houses are only (approximately) 37% of
her collection. How many doll houses does she have? Use a 10  10 percent grid to
illustrate your answer. Is this type I, II or III?
9. A pair of jeans is on sale at a local store for $27. The tag says the original price was $45.
What percent sale is the store having? Use a 10  10 percent grid to illustrate your
answer. Is this type I, II or III?
10. A store is having a sale where the winter clothes are 60% of their original price. A
sweater is on sale for $30. What is the original price of the sweater? Use a 10  10
percent grid to illustrate your answer. Is this type I, II or III?
Proportions and Percents: Competency Quiz, page 2 of 2