Download Math 254B - Cabrillo College

Math 254B
Essential Mathematics
Name_____________________________
Date _____________________________
Practice Problem Set 1 (Chapter 6)
Tests are closed book and closed notes. You can use arithmetic calculators. Please show any work
necessary to get partial credit. Be sure to show your answers clearly. All problems are worth 5 points
except where noted. Good luck on the test!
1. Write each percent as a decimal.
a) 2.5%
b) 64%
c) 61.3%
d) 0.3%
e) 0.02%
2. Write each decimal as a percent.
a) 2.5
b) 0.98
c) 0.1115
d) 0.3
e) 3
3. Write the percent as a proper fraction or mixed number in simplest form.
3
a) 7 %
4
b) 35%
c) 250%
4. Write each fraction as a percent.
3
a) 7
4
3
b)
5
11
c)
40
1
5. Write the fraction
as a percent. Round to the nearest:
7
a) whole percent
b) tenth of a percent
c) hundredth of a percent
6. Complete the table. Write fractions in simplest form.
Percent Decimal Fraction
0.25
3
4
7 12 %
275%
7. Approximately 14.8% of new cars are silver, making silver the most popular new vehicle color.
Write this percent as a decimal and a fraction. (Source: Ward’s Communications)
137
of all new cars sold in the United States were imports. Write this fraction as a
500
decimal and a percent. (Source: Ward’s AutoInfoBank)
8. In 2003,
9. A real estate agent receives a commission of 3% of the sale price of a house. Write this percent as a
decimal and a fraction.
10. Write as an equation and then solve.
11. Write as an equation and then solve.
3.6% of 50 is what number?
What percent of 65 is 78?
12. Write as a proportion and then solve.
57 is what percent of 150?
13. Write as a proportion and then solve.
1.5% of what number is 15?
14. Mary Anne earns $2100 per month and budgets $350 per month for food. What percent of her
monthly income is budgeted for food? Round to the nearest tenth of a percent.
15. At a community college, 2000 incoming freshmen are enrolled in basic college mathematics. If this
is 16% of the total students, how many students attend this community college?
16. A union contract calls for a 2.25% salary increase for all employees. If an employee currently
earns $35,400 a year, determine the increase in salary and the new salary for that employee. Round
to the nearest dollar.
17. The price of a gallon of gasoline increased from $2.89 to $3.29. What was the percent increase in
the price of a gallon of gasoline? Round to the nearest tenth of a percent.
18. The number of employees at Ace Furniture Company decreased from 230 to 199. What was the
percent decrease in the number of employees? Round to the nearest whole percent.
19. A math book sells for $106.50.
(a) Find the amount of sales tax, to the nearest cent, if the sales tax rate is 8.25%.
(b) Find the total purchase price.
20. A real estate broker in California earns a 3% commission rate on a house that sold for $420,000.
How much is the commission?
21. The price of a $1499 computer is to be discounted by 20%.
(a) What will be the amount, to the nearest cent, of the discount?
(b) What will be the sale price?