PERCENT WORKSHEET NAMES__________________
___________________
Show all work on a separate sheet of paper and put all answers on this sheet of paper. Each person in the group must turn in a paper with their work. Only turn in one answer sheet per group. Since many commonly used percents have convenient fraction equivalents, it is often easier to find the percent of a number mentally, using fractions.
Percent 5% 10% 20% 25% 33
1/3% 50% 66 2/3% 75%
Fraction 1/20 1/10 1/5 ¼ 1/3 ½ 2/3 3/4
ESTIMATE THE FOLLOWING PERCENTS MENTALLY USING FRACTION EQUIVALENTS. No work necessary.
1. 23% OF 44 _______ 2. 33 1/3% OF 93 _______
3. 84% OF 25 _______ 4. 38% OF 50 _______
5. 48% OF 73 _______ 6. 32% OF 95 _______
7. It is common practice to leave a 15% tip when eating in a restaurant. Mentally
estimate the amount of tip to leave for each of the following amounts. ( HINT 15%
use 10% + 5%) No work necessary.
a. $15.00 ________ b. $ 18.50________ c. $35.80 ________
_________ _________
9. A clothing store advertised a coat at a 15% discount. The original price was $115.00,
and the sale price was $100. Was the price consistent with the ad? Explain.
10. A pair of slacks was made of material that was expected to shrink 10%. If the
manufacturer makes the 32 inches inseam of the slack 10% longer, what will the
inseam measure after shrinkage? (Answer to the nearest hundredth of an inch.)
11. Which result in a higher price: a 10% markup followed by a 10% discount, or a 10%
discount followed by a 10% markup? Explain.
12. The population in one country increased by 1.4% during 1990, increased by 9.8% in
1991, and then decreased by 6.3% in 1992. What was the net percent change in population over the three year period? Round your answer to the nearest hundredth of a percent. ( Hint: the answer is not 4.9%, try starting with 1000 people and finding the new population)
13. A refrigerator and range were purchased and a 5% sales tax was added to the
purchase price. If the total bill was $834.75, how much did the refrigerator and
range cost?
14. The price of coffee was 50 cents a pound 10 years ago. If the current price of coffee
is $4.25 a pound, what percent increase in price does this represent?
15.One-fourth of the world’s population is Chinese and one-fifth of the rest is Indian.
What percent of the world’s population is Indian?
16. Ollie’s Appliance Store reported 12% more customers this year than last year. Last
year Ollie had 7500 customers. How many customers did Ollie have this year?
17. A meat loaf recipe calls for 30% pork, 70% beef and a few spices (negligible). If the
pork is 24% fat, and the beef is 20% fat, what percent of the meat loaf is fat?
18. A new employee starts out at an annual salary of $20,000 and the promise of 10%
raises annually. An older employee ears $40,000 annually and receives 5% raises annually. How many years will it be before the new employee’s salary overtakes the older employee’s salary?
ANSWERS
1. 11 2. 31 3. 21 4. 19 5. 36 6. 31
7. a. $2.25 b. $2.77 c. $5.40 8. 11% and 89%
9. No Price should be $97.75 10. 31.68 in 11. Same
12. 4.32% 13. $795 14. 750% 15. 15% 16. 8400 customers
17. 21.2% fat 18. approximately 15 years