PROPORTIONS AND PERCENTS
PRE-ALGEBRA

Converting Between Percents, Fractions, and Decimals, Percent Problems, Straightforward, Finding Percent Change, Markup, Discount, and Tax (easy, hard), Proportions, Proportion Word Problems, Similar Figures, Similar Figure Word Problems, Simple and Compound Interest.

All of our 222 video lessons are numbered below within their corresponding section. Select the section title to be brought to a compilation video lesson of that section. All of these videos are linked to our YouTube Channel. Enjoy!

FRACTIONS, DECIMALS, AND PERCENTS

1. 90%

2. 30%

3. 115.9%

4. 9%

5. 7%

6. 65%

7. 0.3%

8. 445%

9. 0.452

10. 0.006

11. 0.002

12. 0.05

13. 4.78

14. 0.1

15. 3.63

16. 0.03

17. 25%

18. 70%

19. 93%

20. 58%

21. 50%

22. 66.6%

23. 20%

24. 80%

25. 71%

26. 30%

27. 1/2

28. 1/8

29. 2/3

30. 1/100

31. 2 1/10

32. 3/8

33. 1/10

34. 87/100

PERCENT WORD PROBLEMS

1. What percent of 126 is 22?

2. 81 is 56% of what?

3. 25.7 is what percent of 141?

4. 17% of what is 156?

5. 46 is what percent of 107?

6. 79.9 is 99% of what?

7. 62% of what is 89.3?

8. What percent of 137.4 is 96?

9. 30% of 117 is what?

10. 11 is what percent of 97?

11. 120% of 118 is what?

12. 25 is what percent of 37?

13. What is 270% of 60?

14. 73% of what is 156.4?

15. 87% of 41 is what?

16. 9 is what percent of 84?

17. What percent of 88.6 is 70?

18. What percent of 137 is 86?

FINDING PERCENT CHANGE

1. From 82 to 38

2. From 75 to 45

3. From 33 to 47

4. From 92 to 9.7

5. From 70 to 62

6. From 8 to 4

7. From 58.5 to 76.3

8. From 58 to 

9. From 79 to 94

10. From 63 to 98

11. From 84 to 4

12. From 71 to 22

13. From 79 ft to 157 ft

14. From 174 miles to 135.9 miles

15. From $109 to $98

16. From 122 minutes to 109 minutes

17. From 43 minutes to 160 minutes

18. From 55 grams to 70 grams

19. From 199 ft to 92 ft

20. From 152 miles to 196 miles

21. From 141 grams to 142 grams

22. From 88 grams to 84 grams

23. From 43 minutes to 28 minutes

24. From 54 m to 154 m

MARKUP, DISCOUNT, AND TAX (EASY)

1. Cost of a sled: $99.50, Markup: 95%

2. Cost of a comic book: $3.95, Markup: 20%

3. Cost of an oil change: $18.00, Markup: 70%

4. Cost of a CD: $14.50, Markup: 30%

5. Cost of an MP3 player: $129.50, Markup: 60%

6. Cost of an oil change: $21.95, Markup: 65%

7. Cost of a pen: $0.95, Markup: 60%

8. Cost of a computer: $1850.00, Markup: 75%

9. Original price of concert tickets: $100.00, Discount: 21%

10. Original price of a book: $18.50, Discount: 45%

11. Original price of a telescope: $99.99, Discount: 13%

12. Original price of a CD: $22.99, Discount: 5%

13. Original price of a sled: $99.50, Discount: 50%

14. Original price of a camera: $554.99, Discount: 48%

15. Original price of a CD: $17.00, Discount: 50%

16. Original price of a CD: $22.95, Discount: 10%

17. Original price of a book: $49.95, Tax: 3%

18. Original price of a book: $90.50, Tax: 4%

19. Original price of an MP3 player: $99.50, Tax: 4%

20. Original price of a microphone: $129.99, Tax: 1%

21. Original price of a pen: $1.50, Tax: 4%

22. Original price of shorts: $19.99, Tax: 2%

23. Original price of an SUV: $42000.00, Tax: 3%

24. Original price of a goldfish: $1.50, Tax: 5%

MARKUP, DISCOUNT, AND TAX (HARDER)

1. Cost of shoes: $29.95, Markup: 20%, Tax: 2%

2. Cost of a microscope: $269.95, Markup: 43%, Tax: 5%

3. Cost of a goldfish: $3.45, Markup: 29%, Tax: 2%

4. Cost of shoes: $99.99, Markup: 9%, Tax: 4%

5. Cost of a shirt: $14.95, Markup: 25%, Discount: 45%

6. Cost of a CD: $23.50, Markup: 63%, Discount: 50%

7. Cost of a puppy: $349.99, Markup: 41%, Discount: 23%

8. Cost of an oil change: $19.95, Markup: 85%, Discount: 48%

9. Original price of a microphone: $20, Discount: 42%, Tax: 6%

10. Original price of a jacket: $269.50, Discount: 24%, Tax: 6%

11. Original price of a lizard: $39.99, Discount: 40%, Tax: 6%

12. Original price of a microphone: $49.99, Discount: 5%, Tax: 5%

13. Cost of a hat: $10.50, Markup: 10%, Discount: 40%, Tax: 5%

14. Cost of a pen: $1.95, Markup: 70%, Discount: 40%, Tax: 5%

15. Cost of a computer game: $4.99, Markup: 40%, Discount: 55%, Tax: 1%

16. Cost of a hat: $31.50, Markup: 35%, Discount: 30%, Tax: 1%

PROPORTIONS

1. 4/2 and 20/6

2. 1/2 and 18/8

3. 4/3 and 16/12

4. 4/3 and 8/6

5. 12/24 and 3/4

6. 6/9 and 2/3

7. 10/k = 8/4

8. m/10 = 10/3

9. 2/x = 7/9

10. 3/x = 7/10

11. 4/9 = 2/x

12. 6/a = 3/8

13. 8n/8 = 8/3

14. 7/9 = a/5

15. p/8 = 13/2

16. 3/13 = v/3

17. 10/12 = 2/n

18. 11/10 = r/11

19. x/9 = 7/14

20. a/10 = 11/14

21. v/12 = 10/2

22. 6/14 = 5/n

PROPORTION WORD PROBLEMS

1. If you can buy one can of crushed pineapple chunks for $2 then how many can you buy with $10?

2. One jar of crushed ginger costs $2. How many jars can you buy for $4?

3. One cantaloupe costs $2. How many cantaloupes can you buy for $6?

4. One package of blueberries costs $3. How many packages of blueberries can you buy for $9?

5. Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

6. Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?

7. Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?

8. If you can buy four bulbs of elephant garlic for $8 then how many can you buy with $32?

9. One bunch of seedless black grapes costs $2. How many bunches can you buy for $20?

10. The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinar. Find how many dollars you would receive if you exchanged 22 Dinars.

11. Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?

12. Jenny was planning a trip to the United Arab Emirates. Before going, she did some research and learned that the exchange rate is 4 Dirhams for every $1. How many Dirhams would she get if she exchanged $5?

13. Castel bought four bunches of fennel for $9. How many bunches of fennel can Mofor buy if he has $18?

14. If you can buy one fruit basket for $30 then how many can you buy with $60?

15. Asanji took a trip to Mexico. Upon leaving he decided to convert all of his Pesos back into dollars. How many dollars did he receive if he exchanged 42.7 Pesos at a rate of $5.30 = 11.1 Pesos?

16. The currency in Argentina is the Peso. The exchange rate is approximately $3 =1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?

17. Mary reduced the size of a painting to a width of 3.3 in. What is the new height if it was originally 32.5 in tall and 42.9 in wide?

18. Molly bought two heads of cabbage for $1.80. How many head of cabbage can Willie buy if he has $28.80?

SIMPLE AND COMPOUND INTEREST

1. $34,100 at 4% for 3 years

2. $210 at 8% for 7 years

3. $4,000 at 3% for 4 years

4. $20,600 at 8% for 2 years

5. $14,000 at 6% for 9 years

6. $2,300 at 7% for 9 years

7. $43,800 at 4.8% for 2 years

8. $35,800 at 8.2% for 3 years

9. $7,400 at 10.5% for 1/4 years

10. $1,900 at 5.9% for 2 3/4 years

11. $7,300 at 7% compounded semiannually for 3 years

12. $1,030 at 4% compounded semiannually for 2 years

13. $18,000 at 9% compounded semiannually for 6 years

14. $1,500 at 7% compounded annually for 3 years

15. $1,240 at 8% compounded annually for 2 years

16. $55,000 at 16% compounded semiannually for 2 years

17. $28,600 at 7.9% compounded semiannually for 2 years

18. $21,000 at 13.6% compounded quarterly for 4 years 

19. $12,700 at 8.8% compounded semiannually for 1 year

20. $130 at 9.4% compounded quarterly for 2 years

SIMILAR FIGURES WORD PROBLEMS

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