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PERCENTS MINI LESSON & PRACTICE
Percent reference sheet with examples. Also included: worksheets for student practice!
Answer Key with full solution included!
FIND THE PART, WHOLE OR PERCENT USING THE PROPORTION METHOD
COPYRIGHT SHEMIAH HALE. ALL RIGHTS RESERVED
PERCENT REFERENCE SHEET
Proportion Method
Finding the Part, Whole, or Percent
STEP1. Determine whether you are being asked to find the part, whole or percent.
STEP 2. Substitute the numbers given in the problem into the proportion formula. Use a variable (X) for the unknown that you are being asked to find.
STEP 3. Then cross-multiply the numbers that are given and divide that answer by the remaining number.
The “IS”
in the
problem
The “OF”
in the
problem
Always stays “100”
The “%” in the problem
Find the PART What is 20% of 80? _____ is 20% of 80? 20% of 80 is _____?
Find the PART
X =
20 80 100
Find the WHOLE 16 is 20% of what number? 20% of _____ is 16?
Find the PERCENT 16 is what percent of 80? What % of 80 is 16?
Find the WHOLE
16 =
20 X 100
Find the PERCENT
16 =
X 80 100
X =
20 80 100
Cross Multiply the two numbers given:
80 x 20 = 1600 Now divide that answer by the number left over:
1600 ÷ 100 = 16
ANSWER = 16
16 =
20 X 100
Cross Multiply the two numbers given:
100 x 16 = 1600 Now divide the answer by the number left over:
1600 ÷ 20 = 80
ANSWER = 80
16 =
X 80 100
Cross Multiply the two numbers given:
16 x 100 = 1600 Now divide the answer by the number left over:
1600 ÷ 80 = 20
ANSWER = 20%
Copyright Shemiah Hale. All Rights Reserved
STUDENT NAME: ________________________________________________ DATE: ____________________
FIND THE PART, WHOLE OR PERCENT
1. What is 20% of 60? 2. 12 is 75% of what number? 3. 6 is what percent of 8? 4. 8 is 40% of what number? 5. 12.5% of what number is 24? 6. What is 33% of 400? 7. What is 72% of 32? 8. 12 is 50% of what number? 9. What is 87.5% of 150? 10. 25 is what percent of 30? 11. 60 is 45% of what number? 12. 12 is what percent of 20? 13. 250% of what number is 1250? 14. 9 is 37.5% of what number? 15. What is 0.25% of 30? 16. 15 is what percent of 40? 17. What percent of 60 is 75? 18. 45 is 60% of what number? 19. What is 150% of 30? 20. What is 41% of 325?
ANSWERS:
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Copyright Shemiah Hale. All Rights Reserved
FIND THE PART, WHOLE OR PERCENT
ANSWER KEY 1. 12 2. 16 3. 75% 4. 20 5. 192 6. 132 7. 23.04 8. 24 9. 131.25 10. 83.33% 11. 133.33 12. 60% 13. 500 14. 24 15. 0.075 16. 37.5% 17. 125% 18. 75 19. 45 20. 133.25
Copyright Shemiah Hale. All Rights Reserved
NAME:_______________________________ DATE: ___________________
PERCENT WORD PROBLEMS FIND PART, WHOLE, OR PERCENT
1. A student earned a grade of 70% on a math test that had 10 problems. How many problems on this test did the student answer correctly? 2. There were 36 students signed up to go on a fieldtrip. On the day of the trip, only 29 students were present. What percent of the students showed up for the field trip? 3. Lorena put $450 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest did he earn for the year? 4. A student answered 46 problems on a test correctly and received a grade 88%. How many problems were on the test, if all the problems were worth the same number of points? 5. David bought a car for 65% of the original price of $8500. What did he pay for the car? 6. Pamela bought a new jacket on sale for 30% off the original price. She paid $32.00 for the sweater. What was the original price?
Copyright 2014 Shemiah Hale. All Rights Reserved
Copyright Shemiah Hale. All Rights Reserved
7. Shawna earns $550 per week. She gets 15% deducted for taxes. How much money does she pay in taxes each week? 8. Brian paid $425 for a new bike plus 6% sales tax. What was the total cost of the bike including tax? (2 steps) 9. At a bake sale students sold 145 chocolate chip cookies, 95 oatmeal cookies, and 87 sugar cookies. What is the percent of the cookies sold was oatmeal? (2 steps) 10. There are 32 students in a class. Nine of those students are women. What percent are men? (2 steps) 11. The school softball team played 75 games and won 50 of them. What percent of the games did they lose? (2 steps) 12. 60% of the employees at a high school school work as teachers. There are a total of 420 employees. How many teachers work at the school?
Copyright 2014 Shemiah Hale. All Rights Reserved
Copyright Shemiah Hale. All Rights Reserved
ANSWER KEY PERCENT WORD PROBLEMS
FIND PART, WHOLE, OR PERCENT YOU MAY WISH TO HAVE STUDENTS ALSO PRACTICE ROUNDING TO A CERTAIN PLACE VALUE. SOME OF THESE PROBLEMS GIVE OPPORTUNITY FOR THEM TO PRACTICE THAT SKILL. 1. 7 2. 80.55% 3. $29.25 4. 52.27 5. $5525 6. $106.66 7. $82.50 8. $25.50 9. 29% 10. 71.88 11. 33.33% 12. 252
Copyright 2014 Shemiah Hale. All Rights Reserved
Copyright © 2014 Shemiah Hale Copyright © 2014 Teach Easy
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