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1 Ratios & Proportions

The document provides a comprehensive lesson on the concept of ratios, including step-by-step explanations, guided practice, and independent worksheets. It covers various scenarios to calculate ratios, missing proportions, and unit rates, along with exercises for students to complete. The material is designed to enhance understanding of ratios through practical applications and problem-solving.

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0% found this document useful (0 votes)
43 views92 pages

1 Ratios & Proportions

The document provides a comprehensive lesson on the concept of ratios, including step-by-step explanations, guided practice, and independent worksheets. It covers various scenarios to calculate ratios, missing proportions, and unit rates, along with exercises for students to complete. The material is designed to enhance understanding of ratios through practical applications and problem-solving.

Uploaded by

miwoocya
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Name _____________________ Date _________________________

The Concept of Ratios - Step-by-Step Lesson

1) 30 students are going on a picnic and 3


students are staying at home. What is the
ratio of the number of students who are
staying at home to the number of students
who are going on the picnic?

Explanation:

Step 1) First, see what is being asked.

Step 2) Now read the question and understand you are being asked about a
ratio.

Number of students that went on the picnic = 30

Number of students that stayed home = 3

Step 3) We have to write the ratio of the number of students who are
staying at home to the number of students who are going on a picnic.

Therefore, the answer will be 3:30

Or

We can simplify the ration further if we divide both with the common
number of 3. The answer will be 1:10.

1Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

The Concept of Ratios - Guided Lesson

Complete the following questions:

1) What is the ratio of pink dogs to yellow dogs?

2) There are 42 people sitting in chairs on the beach. There are 16 people
sitting on the ground at the beach. What is the ratio of the number of people
sitting in chairs to the number of people sitting on the ground at the beach?

a) 42:16

b) 30:16

c) 15:42

d) 42:8

3) 9 children want chocolate cake and 6 children want truffle cake. What is
the ratio of the number of children that want chocolate cake to the number
of children that want truffle cake? Check [ ] the correct answer.

a) The ratio of the number of children that want chocolate cake to


the number of children that want truffle cake is 9:8

b) The ratio of the number of children that want chocolate cake to


the number of children that want truffle cake is 9:6

2Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

The Concept of Ratios - Independent Practice Worksheet

Complete the following questions.

1. There are 38 cars parked in the parking structure. The


parking structure is not full to capacity. There are 13
parking spaces that are empty. What is the ratio of
available parking spaces to parked cars?

2. There are 17 occupied seats on the bus, 11 seats are empty. What is the
ratio of number of occupied seats to empty seats?

3. 15 boys and 16 girls took part in the basketball competition. What is the
ratio of the number of girls to the number of boys who participate in the
competition?

4. A group of friends went out for dinner. 19 of the diners ordered


vegetarian food and 14 ordered non-vegetarian food. What is the ratio of the
number of vegetarian meals to the number of non-vegetarian meals?

5. Jenny distributes 33 candies and 37 chocolates to each student in the


class on her birthday. What is the ratio of the number of chocolates to
candies distributed to each student in the class on her birthday?

3Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

6. There are 8 male teachers and 5 female teachers who teach English in the
school. What is the ratio of the number of male teachers to the number of
female teachers?

7. In the swimming pool, 26 people can swim and 20 people do not know
how to swim. What is the ratio of the number of people who can swim to
those who do not know how to swim?

8. During the rainy season 45 people are wearing raincoats and 35 people
are using umbrellas at the picnic spot. What is the ratio of the number of
people in raincoats to the number of people using umbrellas at the picnic
spot?

9. 5 students were working on the computer and 12 students were playing


games on their computers. What is the ratio of number of students playing
games in class to the number of students working on the computer?

10. Elis’s family ordered 4 veggie crunch pizzas and 2 double cheese crust
pizzas. What is the ratio of the number of veggie crunch pizzas to the
number of double cheese crust pizzas?

4Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic: Missing Proportions - Worksheet 1

Find the missing proportion:

1. 4/2 = a/12 2. 3/s = 12/5

3. 15/5 = 20/n 4. 22/8 = f/4

5. 3/12 = v/75 6. 3/4 = c/12

7. 8/2 = 12/n 8. 4/h = 64/8

9. 15/3 = x/10 10. n/15 = 12/4

5Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Missing Proportions - Worksheet 2

Find the missing proportion:

1. 12/6 = w/2 2. 2/f = 13/5

3. 35/5 = 14/a 4. 22/8 = f/4

5. 14/2 = d/15 6. 3/2 = c/14

7. 12/3 = 11/k 8. 2/r = 66/6

9. 33/1 = j/12 10. q/3 = 14/2

6Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Ratio Tables - Worksheet 1

Complete the ratio tables

1 6 10 18
1 2
5 20 9 18 27 36

5 15 1 3 5 7
3 4
6 12 24 3

1 2 3 4 3 9 12
5 6
12 7 14

10 30 40 6 18
7 8
5 10 7 14 28

6 12 18 24 1 4 5 9
9 10
4 2

7Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Ratio Tables - Worksheet 2

Complete the ratio tables

2 6 10 3
1 2
4 8 7 14 21 28

8 40 48 2 6 8 10
3 4
5 10 25 30 5

3 9 21 27 4 12 16
5 6
36 6 12

11 33 44 5 15
7 8
15 30 12 24 48

1 2 3 4 2 4 8 10
9 10
2 3

8Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

The Concept of Ratios Practice Sheet 1


Find the final value of the following problem.

1. What is the ratio of flowers to chocolate cones?

2. What is the ratio of books to pens?

3. What is the ratio of shirts to shoes?

4. What is the ratio of cakes to candles?

9Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

The Concept of Ratios Practice Sheet 2


Find the final value of the following problem.

1. 14 children want chocolate ice cream and 12


children want vanilla ice cream. What is the
ratio of the number of children that want
chocolate ice cream to the number of children
want vanilla ice cream?

2. 10 students want to use laptops and 6 students want to use


tablets. What is the ratio of the number of students that want to
use laptops to the number of students that want to use tablets?

3. On the playground, 15 boys can play cricket and 12 boys do


not play cricket. What is the ratio of the number of people who
play cricket to those who do not play cricket?

4. 75 people like tea and 25 people like coffee. What is the ratio
of the number of people that like tea to the number of people
that like coffee?

5. 65 girls like to sing and 35 girls like to dance. What is the


ratio of the number of girls that like singing to the number of girls
that like dancing?

10Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Unit Rates and Ratios - Step-by-Step Lesson

Lesson 1 Unit Rates and Ratios

a. We pay $100 for 20 pans of pizza?

How much was each pan of pizza?

b. David can write 600 words in an hour. How many words can he write each
minute?

Explanation:

Step 1) First determine what is being asked.

Step 2) Read the question again to make sure you understand what
information is wanted.

a. Cost of 20 pans of pizza = $100

Cost of 1 pan of pizza = 100 / 20

Cost of each pizza = $5

b. In 1 hr = 600 words

1 min = 60 seconds

1 min = 600/ 60

1 min = 10 words

He can write 10 words in a minute.

11Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Unit Rates and Ratios - Guided Lesson

Complete the questions:

1) Lewis played 12 tournaments in 3 weeks. If he keeps


up this pace, how many weeks will it take to play 20
tournaments?

2) Find the unit rate.

a) 16 pens in 4 pen boxes = pens in 1 box.

b) 81 toffees in 9 packets = toffees in 1 packet.

c) 70 hutch mobiles in 5 exhibits = hutch mobiles in 1 exhibit.

3) Barbara spent $144 on her birthday party for 18 guests. If the cost is at
the same rate, how many guests will there if she spends $176?

12Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Unit Rates and Ratios - Independent Practice Worksheet

Complete the following problems.

1. Susan tips at the rate of $75 to 5 waiters. How many waiters will she be
tipping, if she can afford a $90 tip?

2. The mobile company charges $180 for an hour of


service. How many dollars are customers charged every
minute?

3. A motor bike gets 60 kilometers per gallon of gasoline.


How many gallons of gasoline would the bike need to travel 240
kilometers?

4. A water cooler fills 150 glasses in 30 minutes. How many glasses of water
can the cooler fill per minute?

5. A car can travel 120 km in 2 hours. How long will it take the car to travel
300 km?

6. Amilio’s designs call for 7 rectangles in every 140 cm. How many
rectangles will be present in 220 cm?

7. 2 balls can complete a full rotation in 120 minutes. How many balls can
complete a full rotation in 180 min?

8. Jeff’s trip will cost $9 if he has 2 attendees at the conference. If there are
36 attendees, how much will the trip cost Jeff?

9. A segment is 10 cm long and is divided into 5 equal parts. If it is divided


into 8 equal parts, how many segments long will it be?

10. Maria has 64 flowers. She makes 8 bouquets with the flowers. How
many bouquets of flowers will she have if she has 80 flowers?

13Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Unit Rates and Ratios - Matching Worksheet

Match the word problems to their answers. Write the letter of the answer
that matches the problem.

_______ 1. How many hours are there in 600


minutes? a. 70

_______ 2. How many meters are there in 900 cm?


b. 12

_______ 3. For the new movie the ticket seller sells a


batch of tickets for $ 480. Each ticket cost c. 6
$40. How many people purchased the
tickets?

_______ 4. For the morning assembly, 54 students


lined up. If 9 students complete a line. How d. 10
many lines are needed?

_______ 5. A farmer has 6 cows. He sold them for


$420. How many dollars did the farmer e. 9
charge for each cow?

14Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Unit Rates and Ratios: The Relationship Practice Sheet 1

Find the final value of the following problem.

1. A scooter can travel 100 km in 2 hours. How long


will it take the scooter to travel 200 km?

2. A rectangle is 10 cm long and is divided into 5 equal parts.

If you had 8 of those parts end to end how long would it be?

3. Jessie has 2 apples in a fruit basket. If she added two more


apples in that basket, how many apples does she have in her fruit
basket?

4. A farmer has 9 goats. He sold them for $180. How many


dollars did the farmer charge for each goat?

5. A water tap fills 15 buckets in 150 minutes. How much time


will it take to fill 1 bucket?

15Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Time and Length Conversions Practice Sheet 2

Find the final value of the following problem.

1. How many seconds are there in 85


minutes?

2. How many hours are there in 660


minutes?

3. How many meters are there in 856 cm?

4. How many minutes are there in 24 hours?

5. How many centimeters are there in 48 meters?

16Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Ratio and Rates Word Problems - Guided Lesson

Complete the following questions:

1) Complete the ratio table.

a. b.
4 12 5 15

8 24

12 36 15 45

16 20 60

20 60 25 75

2) . Circle the two ratios that are equal.

a. 4 to 20

b. 6 to 36

c. 13 to 72

d. 5 to 25

3) Are these ratios equivalent?

3 pink umbrellas to 21 green umbrellas

6 pink umbrellas to 36 green umbrellas

 Yes
 no

17Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Ratio and Rates Word Problems - Independent Practice Worksheet

Complete the following questions.

I. Complete the ratio tables.

1. 11 16

22 32

48

44 64

55 80

2.
9 7

18 14

27 21

36 28

3.
4 6

8 12

16 24

20 30

18Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

II. Answer the following.

1. In Lisa’s class, 24 of the students are tall and 12 are short. In Paul’s class
15 students are tall and 20 students are short. Which class has a higher
ratio of tall to short students?

2. At Janine’s party, the orchestra has 10 guitar players and 8 flute players.
At Brown’s party, the orchestra has 12 guitar players and 7 flute players.
Which party has a higher ratio of guitar to flute players?

3. Robert’s recipe has 5 onions and 9 tomatoes for the pizza. Jeff’s recipe
has 8 onions and 10 tomatoes for the pizza. Whose recipe has a lower ratio
of onions to tomatoes?

4. Lee bought 7 Zara jeans and 9 shirts from the Wall Street. Nancy bought
6 Zara jeans and 8 shirts from the Wall Street. Who has the lower ratio of
jeans to shirts?

III. Are these ratios equivalent?

4 bags to 8 purses

5 bags to 10 purses

Yes No

IV. Are these ratios equivalent?

12 birds to 60 animals

17 birds to 85 animals

Yes No

V. Are these ratios equivalent?

9 pencils to 50 erasers

7 pencils to 49 erasers

Yes No

19Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Ratio Word Problems - Worksheet 1

Solve the following:

1. There are a total of 63 bikes. If the ratio of blue bikes to


black bikes is 4 to 5, how many of the bikes are blue?

2. Paul can walk 15 steps in 5 minutes. How long does it take Paul
to walk 75 steps at the same speed?

3. Candy is at the balloon shop and sees that 10 balloons cost $


0.15. He needs 50 balloons to decorate his room. How much
will 50 balloons cost?

4. It takes 8 people to pull a 16 ton truck. How many people


would it take to pull a 60 ton truck?

5. Which is bigger, one fourth of 16 or one third of 24?

6. If a globe rotates through 150 degrees in 5 seconds, how


many rotations does it make in 30 seconds?

7. If the ratio of white pens to green pens is 2 to 8 and there are


a total of 30 pens, how many pens are white?

8. Giles is searching for a sock and discovers that he has 10 socks


for every 5 pairs of shoes. If he has 20 socks, how many pairs
of shoes does he have?

9. The sum of two numbers is 150. The ratio of the same two
numbers is 3:2. Find the bigger number.

10. If the ratio of pink flower to blue flower is 3 to 6 and there


are total 72 flowers, how many of them are pink?

20Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Ratio Word Problems - Worksheet 2

Solve the following:

1. There are a total of 18 chairs. If the ratio of the red chairs


to brown chairs is 2 to 4, how many of them are red?

2. Rock can read 10 books in 30 minutes. How long does it take


Rock to read 15 books, if the speed is consistent?

3. Ricky is at the bakery shop when he sees that 8 pastries cost


$160. He need 16 pastries. How much will 16 pastries cost?

4. It takes 10 people to pull a 50 ton bus. How many people would


it take to pull a 100 ton bus?

5. Which is bigger, half of 40 or one fourth of 20?

6. If a ball rotates 110 degrees in 8 seconds, how many


degrees does it rotate in 32 seconds?

7. If the ratio of red roses to yellow roses is 4 to 6 and there are


a total of 50 roses, how many of them are yellow?

8. Freddy is searching for a shirt and discovers that he has 12


shirts for every 6 pair of jeans. If he has 18 shirts, how many
pairs of jeans does he have?

9. The sum of two numbers is 200 and the two numbers are in a
ratio of 4:6. Find the larger number.

10. If the ratio of the purple flowers to black flowers is 4 to 8 and


there are a total of 108 flowers, how many of the flowers are
purple?

21Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Ratio Word Problems - Worksheet 1

Complete the following word problems.

1. Which is bigger, one seventh of 14 or half of 36?

2. Bob can draw 14 shapes in 7 minutes. How long does it take


Bob to draw 28 shapes at the same rate?

3. Jack is at a shop and sees that 5 antiques cost $10. He needs


30 antiques to make a small museum. How much will the 30
antiques cost?

4. It takes 16 people to play a 30 minute Rugby game. How many


people would it take to play a 60 minute game?

5. Which is smaller, half of 36 or one-seventh of 42?

6. If a bottle rotates through 270 degrees in 3 seconds, how many


degrees does it rotate in 2 seconds?

7. Which is larger, one-thirteenth of 26 or one-sixth of 72?

8. Mazy is looking for his bow and discovers that he has 20 shirts
for every 2 pair of bows. If he has 50 shirts, how many pairs of
bows does he have?

9. Two numbers are in a ratio of 7:4. Their sum is 220. Find the
bigger number.

10. Which is smaller, one-sixth of 54 or one-third of 21?

22Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Ratio Word Problems - Worksheet 2

Complete the following word problems

1. Which is smaller, one-sixth of 54 or one-third of 21?

2. Jimmy can draw 16 circles in 4 minutes. How long does it take


Jimmy to draw 32 circles at the same rate?

3. Jixi is at the shop and sees that 7 antiques cost $14. He needs
56 antiques to create a small museum. How much will 56
antiques cost?

4. It takes 14 people to play a 42 minute football game. How


many people would it take to play a 60 minute football game?

5. Which is bigger, one-third of 18 or three-fourths of 20?

6. If the big hand of the clock rotates through 90 degrees in 15


minutes, how many degrees are made in 45 minutes?

7. Which is smaller, two-thirds of 27 or two-fifths of 20?

8. Mickey is looking for his ties and discovers that he has 20 shirts
for every 4 ties. If he has 30 shirts, how many ties does he
have?
9. Two numbers are in a ratio of 5:4. Their sum is 720. Find the
bigger number.

10. Which is smaller, one-ninth of 54 or one-fourth of 36?

23Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

The Role of Ratio and Rates Word Problems Practice Sheet 1


Find the final value of the following problem.

1. Are these ratios equivalent? Yes or No

2 red jellies to 10 yellow jellies


4 red jellies to 20 yellow jellies

2. Are these ratios equivalent? Yes or No

4 dogs to 12 cats
5 dogs to 15 cats

3. Are these ratios equivalent? Yes or No

6 black shoes to 36 white shoes


7 black shoes to 42 white shoes

4. Are these ratios equivalent? Yes or No


3 pens to 12 pencils
4 pens to 24 pencils

24Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

The Role of Ratio and Rates Word Problems Practice Sheet 2

Find the final value of the following problem.

1. Circle the two ratios that are equal.


a. 2 to 6
b. 5 to 10
c. 3 to 9
d. 3 to 12

2. Circle the two ratios that are equal.


a. 7 to 14
b. 8 to 24
c. 3 to 12
d. 8 to 16

3. Circle the two ratios that are equal.


a. 3 to 9
b. 5 to 25
c. 4 to 16
d. 9 to 27

4. Circle the two ratios that are equal.


a. 6 to 12
b. 5 to 10
c. 3 to 9
d. 4 to 20

25Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Step-by-Step Tape Diagram Lesson


Question: In a school, there are 250 students. The ratio of boys to girls is
3:2. What is the total number of boys in the school? What is the total
number of girls in the school? Draw a Tape Diagram for a visual display of
the problem.

Answer:
a) Start with what you know.

1. We know the total number of students is 250.

2. We know that for every 3 boys, there are 2 girls.

b) Start to draw your tape diagram for the ratio.

3 boys =

2 girls =

3. Combine the information to show the composition of the group. If the total number of students is
equal to 250 and is composed of 5 groups, each group has 50 (250/5) students. The diagram will look
like the following:

4. To find the total number of girls, add the segments 50 + 50 = 100 girls.

5. To find the total number of boys, add the segments 50 + 50 + 50 = 150 boys.

Answer: There are 150 boys and 100 girls in the school.

26Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Making and Reading Tape Diagrams Guided Lesson

1. Peter went to a store and spent $4 on ice cream and $1 on


chocolate. He has $8 left over. How much money did peter take to
the store? Use a tape diagram to answer the question.

2. The tape diagram below displays the homeruns scored by three players
during a baseball game. How many homeruns did Rich score?

27Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Making Tape Diagrams: Worksheet 1

1. During a clearance sale, a toy shop offers a 20% discount on all toys. You purchased
a Barbie doll and received a $10 discount. What was the total amount paid for the doll?
Use a tape diagram to solve the problem.

2. In an office, the number of male workers is 3 times


greater than female workers. If there are 60 female
workers, how many male workers are in the offices? Use a
tape diagram to solve each problem.

3. David had $80. He spent 4/5 of his money on books. How much money did he have
left? Use a tape diagram to solve the problem.

28Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Making and Reading Tape Diagrams: Worksheet 2

1. The price of a small used car is three times greater than the price of a
used motorcycle. If the price of the motorcycle is $950, find the price of
the car. Use a tape diagram to solve the problem.

2. In a bag there are red and blue balls in the ratio of 2:7. If there are 14 red balls, find the number
of blue balls in the bag. Use a tape diagram to solve the problem.

3. Look at the tape diagram below for the number of boys and the number of girls in a school. Find the
total number of students in the school.

29Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Making and Reading Tape Diagrams: Worksheet 3


1. Emily and Maria are using ribbon to decorate a project in their art class. The ratio of
the length of Emily’s ribbon to the length of Maria’s ribbon is 7: 3. Draw a tape
diagram to represent this ratio:

2. Rich has a 32 centimeter long board. Hema has a 23 centimeter long board. What is
the length of their boards together? Draw a tape diagram to represent the answer.

3. Maria’s pay last week was $300. She spent $225 for
groceries. What percent of her pay was spent on groceries?
Use a tape diagram to justify your answer.

30Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Making and Reading Tape Diagrams: Worksheet 4

1. Mr. John’s class took a vote for the food at their class party. Pizza
received 15 votes, but hamburgers only received 5. How many votes
did pizza receive for each hamburger vote? Use a tape diagram to
justify your answer.

2. In 2012, Katrina raised $14 for the school library. In 2013 she raised five times as much money.
How much money did she raise in 2013? Draw a tape diagram to solve the problem.

3. The ratio of boys to girls in the class is 6:8. There are 56 children in the class. How many more girls
than boys are there in the class? Use the tape diagram below to help you.

31Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Unit Rates with Speed and Price- Step-by-Step Lesson

Lesson 1 Unit Rate Problem:

Sally is making pies. Sally took 2 hours to knead the dough. The dough
contained 6 kilograms of flour. How long do you think it will take Sally to
knead 36 kilograms of flour? Solve using unit rates.

Explanation:

Step 1) First we have to find the unit rate.

3 kilograms per hour

Step 2) Now we have to use the unit rate in the formula.

Time kneading dough = unit rate x hours worked

36 =3xn

12 =n

Kneading 36 kilograms of flour took Sally 12 hours.

32Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Unit Rates with Speed and Price - Guided Lesson

Complete the following problems:

1) Kate stitches 8 dresses in 2 weeks. After 7 weeks how many dresses


should be stitched? Solve using unit rates.

2) Maria threw a party for the promotion she received. The party costs $20
for two people. If she invited 20 guests, what would the cost be? Solve using
unit rates.

3) Troy rides his bike 75 kilometers in 1 hour. He rides for another 5 hours.
How many kilometers can Troy ride in that time is he maintains his pace?
Solve using unit rates.

33Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

Unit Rates with Speed and Price - Independent Practice Worksheet

Complete all the problems. Solve using unit rates.

1. Sam can prepare 20 wall paintings in four weeks.


How much time will he need to prepare 80 wall
paintings?

2. Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers,


how much time will it take her?

3. Tom always keeps his 4 gardens clean. He takes 20 minutes to clean a


single garden. How much time will it take to clean all four gardens?

4. Veronica loves to create creative things. She can make 5 craft pieces in 5
days. On the basis of a contract she has to make 20 pieces of crafts. How
many days will she take?

5. Brown has his own bakery. He baked 5 cakes per day. Due to the
occasion of Christmas, he started to bake 12 cakes per day. In the whole
Christmas week how many cakes will he bake?

34Page : © www.mathworksheetsland.com
Name _____________________ Date _________________________

6. Mr. White can travel for 6 hours while taking 3 breaks of 10 minutes each.
Once, he had to travel for 36 hours. How many minutes in breaks did he
take?

7. Sofia learned 10 recipes to create party dishes. She learned these recipes
in two weeks. How many recipes can Sofia learn in 5 weeks?

8. In our class, our class teacher gave us a project to complete in 15 days. If


the teacher assigned 4 consecutive projects, how many days will you have
to complete the projects?

9. Miss Bird is going to launch an exhibition. Miss Bird can make 8 sculptures
in 6 months. If she prepared 12 sculptures, how much time would she take?

10. Charles is going to buy 3 computer tables for $390. If he pays the same
rate, how much would it cost for 8 computer tables?

35Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Unit Rates- Worksheet 1

Determine the rate

1. A 9-kg bag of mangoes for $12 2. 725 miles in 8 hours

________ per kg ________ miles per hour

3. Type 1500 words in 30 minutes 4. 5000 jumps for 7 hours

________ words per minute ________ per hour

5. 500 calories for 5 servings of 6. 200 chairs in 40 rows


candy
________ in each row
________ calories per serving

7. 50 students in 4 buses 8. A phone calls costs $7 for 3 minutes

________ in each bus ________ $ per minute

9. 6,000 miles in 3 hours 10. A 10-kg bag of cherries for $8

________ miles per hour ________ per kg

36Page : © www.mathworksheetsland.com
Name: ________________________ Date ____________

Topic : Unit Rates- Worksheet 2

Determine the rate

1. A 10-kg bag of grapes for $15 2. 400 miles in 5 hours

________ per kg ________ miles per hour

3. Type 500 words in 20 minutes 4. 1000 jumps for 3 hours

________ words per minute ________ per hour

5. 600 calories for 8 servings of 6. 600 chairs in 10 rows


cakes
________ in each row
________ calories per serving

7. 6 students in 2 cars 8. A phone calls costs $10 for 5 minutes

________ in each car ________ $ per minute

9. 3,000 miles in 5 hours 10. A 15-kg bag of strawberry for $8

________ miles per hour ________ per kg

37Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Unit Rates with Speed and Price Practice Sheet 1

Find the final value of the following problems.

1. Robert is making jam. Robert took 2 hours to


mix the fruit. The pulp was made up of 12
kilograms of fruit. How long do you think it will
take Robert to make pulp from 40 kilograms of
fruit?

2. Mike makes 35 cups of tea in 1 hour. After 5 hours at the same


pace, how many cups of tea will have been made?

3. Steve runs 8 kilometers in 2 hours. He runs for another hour.


How many kilometers can Steve run in that time, if he maintains
his pace?

4. Sarah sells 5 helmets in 2 days. After 30 days how many


helmets should she sell?

5. Rupert is making buns. Rupert took 10 hours to knead the


dough. The dough was made up of 50 kilograms of flour. How
long do you think it will take Rupert to knead 70 kilograms of
flour?

38Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Unit Rates with Speed and Price Practice Sheet 2

Find the final value of the following problems.

1. Mark is making omelets. Mark took 1


hour to mix the omelet. The omelet was
made up of 12 eggs. How long do you
think it will take Mark to make an omelet of 24 eggs?

2. Joseph makes 20 muffins in 1 hour. After 5 hours, how many


muffins should Joseph have been able to make?

3. Brian walks 2 kilometers in 1 hour. If he walks for another


hour at that pace, how many kilometers can Brian walk?

4. Jessica sells 8 cell phones in 4 days. After 30 days how many


cell phones should she sell?

5. Brice is making pizza. Brice took 5 hours to knead the dough.


The dough was made up of 50 kilograms of flour. How long do
you think it will take Brice to knead 70 kilograms of flour?

39Page : © www.mathworksheetsland.com
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Percentage as a Rate per Hundred - Step-by-Step Lesson

Lesson 1 Percentage Problem:

1) Which soap is the best buy?

a) 6 sandal soaps for $66.00 b) 5 rose soaps for $40.00

c) 8 almond soaps for $70.00 d) 4 cream soaps for $50.00

Explanation:

Step 1) The unit price is the price per item or per unit of measure.

We have to find each unit price.

Divide the total cost by the number of soaps.

Step 3) $66 ÷ 6 = $11.00

$40 ÷ 5 = $8.00

$70 ÷ 8 = $8.75

$50 ÷ 4 = $12.50

The unit price for the 5 rose soaps for $40.00 is the lowest. Rose soaps are
the best buy.

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Percentage as a Rate per Hundred - Guided Lesson

Complete the following problems:

1) Jolly went to the book shop. There she bought four books for $350. She
sold a book to her friend and got back 30% of her money. How much money
did she charge her friend for the book?

2) Kip has a handbag shop. Each bag costs $200. Kip is having a 20% off
sale on each bag. What is the cost of a bag now?

3) Troy bought 4 dozen bananas. 40% of the bananas were used to make
custard and 10% of the bananas were given to his son. Write the number of
bananas Troy had left?

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Percentage as a Rate per Hundred - Independent Practice Worksheet

Complete all the problems.

1. In a department store the owner paid $15 for 1 kg of sugar. The owner
marked the price up by 10% for the customers. How much does he charge
for 1kg of sugar?

2. Tom and Jerry went out for dinner. They ordered a nice meal and their bill
was $300. They also paid 15% tax on their bill. What was the amount of the
tax they paid?

3. Wilson has 60 chocolates. He gives 30% of the chocolates to kids. Write


the number of chocolates that he gave to kids.

4. Hall adds 50% of the entire 3-liter oil bottle to a bowl. How much oil did
he use?

5. Brown went to Paris. He paid $500 for the flight. And


due to some inconvenience he got 12% back from the
airline. What is the amount of the money he got back?

6. Mr. White bought a pair of shoes for $100 and he


received a 20% discount on them. How much was taken off
the price?

7. On Sunday, I bought three dresses for $900. I gave one of them to my


friend and she paid me 35% of the total cost of all the dresses. How much
did my friend give me?

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8. In our hall, there are 10 fans, but only 60% of the fans are working. Write
the number of fans that are out of order.

9. Which ice cream is the best buy below?

a) 15 cups of butter scotch ice cream for $50

b) 12 cups of mango ice cream for $42

c) 14 cups of strawberry ice cream for $48

d) 10 cups of chocolate ice cream for $30

10. Which juice is the best buy below?

a) 2 lime juice for $5

b) 8 apple juice for $32

c) 5 orange juice for $20

d) 10 pineapple juice for $35

43Page : © www.mathworksheetsland.com
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Percentage as a Rate per Hundred - Matching Worksheet

Match the following questions to their answers. Write the letter of the
answer that matches the question.

_______ 1. 60 % of 90 a. $32

_______ 2. 80 % of 70 b. $27

_______ 3. 30 % of 10 c. $54

_______ 4. 50 % of 32 d. $9

_______ 5. 90 % of 30 e. $56

_______ 6. 40 % of 80 f. $1

_______ 7. 90 % of 100 g. $3

_______ 8. 20 % of 5 h. $24

_______ 9. 75 % of 32 i. $16

_______ 10. 50 % of 96 j. $48

44Page : © www.mathworksheetsland.com
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Percentage as a Rate per Hundred Word Problems Practice Sheet 1

Find the final value of the following problem.

1. George went to the flower shop. There he


bought five flowers at the cost of $275. He sold
a flower to his friend and got 20% of his money
back. How much money did he charge his
friend for the flower?

2. John went to the bag shop. There he bought three bags at a


total cost of $250. He sold a bag to his friend and received 25%
of his money back. How much money did John charge his friend
for the bag?

3. Johnson went to the auto shop. There he bought four tires at


the cost of $750. He sold a tire to his friend and got 15% of his
money back. How much money did he charge for the tire?

4. William went to the toy shop. There he bought two toys at the
cost of $550. A few years later, he sold one of the toys to his
friend and got 5% of his money back. How much money did the
friend pay for the toy?

5. Heidi went to the TV shop. There she bought five TVs at the
cost of $1,025. She sold a single TV to her friend and got 30% of
her money back. How much money did she charge her friend for
the TV?

45Page : © www.mathworksheetsland.com
Name __________________________________________________ Date _________________

Percentage as a Rate per Hundred Practice Sheet 2

Find the final value of the following problem.

1. David has a bagel shop. Each case of bagels


costs $60. David is having a 10% off sale on each
case. What is the cost of a case of bagels
now?

2. Andrew has a canoe shop. Each canoe costs $500. Andrew is


having a 20% off sale on all canoes. What is the cost of a canoe
now?

3. There are 1,375 students in a college. Of them, 20% are in


economics classes. Determine how many students are not in
economics classes?

4. There are 2,154 people in a city. Of them, 25% of the people


in a city have brown eyes. Determine how many people do not
have brown eyes in the city?

5. Samsung has a storage area that has 3,210 items. All the
items are laptops or cell phones. 35% of the items are cell
phones. How many laptops are in the storage locker?

46Page : © www.mathworksheetsland.com
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Find Percentages of Numbers - Step-by-Step Lesson

What is 30% of 120?

Explanation:

The best way to do this is to set it up as a proportion.

We can look at 30% as 30 out of 100. It can also be stated as:

ଷ଴
30 to 100 : 30 :100 : = 0.3
ଵ଴଴

We can set up the problem as:

x = percentage as a decimal (total value)

x = 0.3 (120)

x = 36

So, the answer is 36.

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Find Percentages of Numbers - Guided Lesson

Complete the following problems:

Find the percentage of the integers.

1) What is 75% of 100?

2) What is 45% of 50?

3) What is 140% of 500?

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Find Percentages of Numbers - Independent Practice Worksheet

Complete all the problems.

1. What is 78% of 40?

2. What is 25% of 35?

3. What is 62% of 90?

4. What is 15% of 55?

5. What is 41% of 12?

6. What is 6% of 90?

7. What is 18% of 5?

8. What is 80% of 120?

9. What is 7% of 10?

10. What is 22% of 49?

49Page : © www.mathworksheetsland.com
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Find Percentages of Numbers - Matching Worksheet

Write the letter of the answer that matches the problem.

1.
_______ What is 25% of 100? a. 11.5%

2.
_______ What is 41% of 60? b. 105.6%

3.
_______ What is 23% of 50? c. 24.6%

4.
_______ What is 35% of 75? d. 77%

5.
_______ What is 97% of 155? e. 0.4%

6.
_______ What is 120% of 88? f. 25%

7.
_______ What is 10% of 4? g. 150.35%

8.
_______ What is 18% of 31? h. 1.6%

9.
_______ What is 55% of 140? i. 26.25%

10.
_______ What is 8% of 20? j. 5.58%

50Page : © www.mathworksheetsland.com
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Topic: Numbers Based on Percentage - Worksheet 1

Complete the following:

1. What percent of 40 is 35?

2. 50 is what percent of 550?

3. Find 20% of the number 85.

4. 45 is what percent of 80?

5. 10 is what percent of 50?

6. What percent of 60 is 15?

7. 20 is 60% of what number?

8. 24 is what percent of 78?

9. 30 is what percent of 600?

10. What is 20% of 250?

51Page : © www.mathworksheetsland.com
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Topic: Numbers Based on Percentage - Worksheet 2

Complete the following:

1. What percent of 60 is 15?

2. 15 is what percent of 30?

3. Find 32% of the number 16.

4. 10 is what percent of 20?

5. How many percent of 30 is 5?

6. What percent of 150 is 45?

7. Find a number so that 48% of it is 30.

8. 35 is what percent of 100?

9. 30 is what percent of 200?

10. What is 50% of 150?

52Page : © www.mathworksheetsland.com
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Topic : Percent of a Number - Worksheet 1

Find the percentage:

1. 90% of 550 =

2. 50% of 200 =

3. 25% of 800 =

4. 35% of 650 =

5. 70% of 650 =

6. 65% of 780 =

7. 80% of 420 =

8. 45% of 650 =

9. 75% of 750 =

10. 80% of 700 =

53Page : © www.mathworksheetsland.com
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Topic : Percent of a Number - Worksheet 2

Find the percentage:

10. 80% of 100 =

11. 20% of 800 =

12. 5% of 800 =

13. 85% of 600 =

14. 50% of 300 =

15. 75% of 700 =

16. 80% of 450 =

17. 48% of 650 =

18. 95% of 850 =

10. 50% of 500 =

54Page : © www.mathworksheetsland.com
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Find Percentages of Numbers – Homework 1

Example: What is 40% of 50?

Step 1: We can look at 40 out of 100 as 40/100.

Step 2: 40/100 = 0.4

Step 3: 0.4 x 50 = 20

Complete the following problems:

1. What is 30% of 70? 6. What is 7% of 10?

2. What is 10% of 90? 7. What is 5% of 20?

3. What is 25% of 50? 8. What is 20% of 70?

4. What is 80% of 70? 9. What is 10% of 50?

5. What is 15% of 60? 10. What is 40% of 60?

55Page : © www.mathworksheetsland.com
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Find Percentages of Numbers– Homework 2

Example: What is 85% of 100?

Step 1: Convert the percentage to a decimal. 85% = 0.85

Step 2: Using the formula: x = (Decimal Value) (Number)

Answer : x = 0.85 (100) x = 85

Complete the following problems:

1. What is 55% of 70? 6. What is 7% of 25?

2. What is 22% of 100? 7. What is 50% of 90?

3. What is 5% of 60?
8. What is 25% of 75?

4. What is 20% of 30? 9. What is 50% of 100?

5. What is 50% of 80? 10. What is 25% of 50?

56Page : © www.mathworksheetsland.com
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Ratios and Units of Measurement - Step-by-Step Lesson

Lesson 1 Ratio Problem:

a) How many feet are there in 2 meters?

Explanation:

Step 1) We know that : 1 m = 3.3 ft

Step 2) We have to convert meters to feet by multiplying.

1:3.3

2: x

Step 3) Setup the ratio in proportion form:

x
.

Step 4) Solve for x. Cross multiply.

1x = 6.6

x = 6.6

So, 6.6 feet is the same as 2 meters.

57Page : © www.mathworksheetsland.com
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Ratios and Units of Measurement - Guided Lesson

Complete the following problems:

1) Which is more, 7 centimeters or 60 millimeters?

7 centimeters

60 millimeters

Neither, they are equal

2) Convert and simplify your answer. Write it as a proper fraction or as a


whole number or mixed number.

_________ teaspoons = 3 tablespoons

3) Divide.

40 yards 2 feet ÷ 2

58Page : © www.mathworksheetsland.com
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Ratios and Units of Measurement - Independent Practice Worksheet

Complete all the problems.

1) 5 feet 2 inches = ___ inches

2) 8 m 12 cm = ____ cm

3) 7085 g = ___ kg ___ g

4) 2 tons = ______ pounds

5) 6 yards = ________ feet

6) Multiply.

3 times of 5 feet 1 inch = ______ feet _____ inches

7) Divide.

18 tons 42 pounds divided by 3 = ____ tons ________ pounds

8) Multiply.

3 times of 4 yards 2 foot = _______ yards ______ feet

9) Divide.

15 kg 30gm divided by 5 = _________ kg __________gm

10) Multiply.

24 times 4 tons 2 pounds = _______ tons ______pounds

59Page : © www.mathworksheetsland.com
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Ratios and Units of Measurement - Matching Worksheet

Match the word problems to their answers. Write the letter of the answer
that matches the problem.

_______ 1. 7 qt – 4 qt 1 pt a. =

_______ 2. Select >, < or = to make the sentence true. b. 20 ounces

34 quarts ____ 8 gallons 3 quarts

_______ 3. Select >, < or = to make the sentence true. c. 2 qt –1 pt

4 pounds 9 ounces ____ 73 ounces

_______ 4. Which measure is greater? d. 4 cups


- 20 ounces
- 1 pound

_______ 5. Which measure is greater? e. <


- 1 pint
- 4 cups

_______ 6. Which measure is greater? f. 2 tons


- 6 kilogram
- 6005 gram

_______ 7. Which measure is greater? g. 6,005 grams


- 8 dozen
- 100 object

_______ 8. Which measure is less? h. 100 objects


- 5000 pounds
- 2 tons

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The Role of Ratios and Units of Measurement


Practice Sheet 1
Find the final value of the following problems.

1. Multiply.

4 times of 2 feet 1 inch = ______ feet _____ inches

2. Multiply.

2 times of 3 kilometers 5 meters = _____ kilometers ____ meters

3. Multiply.

5 times of 2 meters 1 millimeter = _____ meters ______ millimeters

4. Multiply.

6 times of 3 miles 4 yards = ______ miles _____ yards

5. Multiply.

3 times of 4 feet 2 meters = _____ feet _____ meters

61Page : © www.mathworksheetsland.com
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Mastery Level Units of Measurement Practice Sheet 2

Find the final value of the following problems.

1. How many meters are there in 5 feet?

2. How many inches are there in 4 feet?

3. How many yards are there in 3 miles?

4. How many centimeters are there in 8 kilometers?

5. How many feet are there in 10 meters?

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Find the Percentage of a Value (Using the Decimal Method) Lesson

Bruce located a belt of asteroids in the


direction of his spaceship. The asteroid field
contained 846 asteroids. Bruce’s navigator,
Sheila, determined that 19% of the asteroids
could severely damage the ship. How many
asteroids are present in the asteroid field that
could severely damage the ship? (Use the
decimal method for determining the value.)

Explanation:
The problem is basically looking for us to find: 19% of 846
We are asked to use the decimal method. This tells us to convert the
percentage to a simple decimal and multiply it by the integer in
question.
If we consider that 1 = 100%, this would mean that 0.19 = 19%
To complete the problem: 0.19 x 846 = 160.74
160.74 would be rounded up to 161.
161 asteroids could severely damage the spaceship.

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Percentages of Integers (Using Decimals) Guided Lesson

1. 12% of the swings that Austin takes end up as


homeruns. If Austin takes swings 296, how many
homeruns will he have?

2. What is 84% of 84?

3. A Tricky One for You: Sheila collects bottle caps. 23% of the bottle
caps in her collection are not perfectly round. Sheila has 412 bottle
caps in her collection. How many bottle caps in her collection are
perfectly round?

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Name _____________________________

Determining Percentages with Decimals Worksheet 1

Find the percentage of the following numbers using


decimal method.

Problems Workspace
Example: 15% of 40 15% 40
0.15 40
Answer: 6 6

18% of 50

Answer:

20% of 55

Answer:

6% of 100

Answer:

8% of 150

Answer:

25% of 80

Answer:

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Name _____________________________

Determining Percentages with Decimals Worksheet 2

Find the percentage of the following numbers using


decimal method.

Problems Workspace
Example: 35% of 180 35% 180
0.35 180
Answer: 63 63

32% of 200

Answer:

30% of 30

Answer:

19% of 300

Answer:

8% of 150

Answer:

20% of 95

Answer:

66Page : © www.mathworksheetsland.com
Name _____________________________

Determining Percentages with Decimals Practice 1

Find the percentage of the following numbers using


decimal method.

Problems Workspace
Example: 31% of 200 31% 200
0.31 200
Answer: 62 62

36% of 275

Answer:

42% of 500

Answer:

45% of 320

Answer:

55% of 80

Answer:

75% of 16

Answer:

67Page : © www.mathworksheetsland.com
Name _____________________________

Determining Percentages with Decimals Practice 2

Find the percentage of the following numbers


using decimal method.

Problems Workspace
Example: 26% of 300 26% 300
0.26 300
Answer: 78 78

15% of 360

Answer:

30% of 220

Answer:

25% of 280

Answer:

60% of 230

Answer:

45% of 60

Answer:

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Percentages of Integers (Fraction Method)


Step-by-Step Lesson

26% of the vines of grapes, delivered to


the catering hall, were spoiled. If 364 vines of grapes
were delivered, how many grape vines were spoiled?
Use the fraction method for determining
percentages.

Explanation:
The fraction method tells us to put the percentage value over 100
and multiply the numerator by the given integer.
Step 1) We are looking for 26% of 364.
,
Step 2) x 364 = = 94.64 or 95 (rounded)

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Percentages of Integers (Fraction Method)


Guided Lesson

1. 34% of the pizza pies that Lilo sells are pepperoni


pizzas. If Lilo sells 282 pizzas in a day, how many of
those pizzas will be pepperoni pizzas?

2. What is 37% of 967?

3. Lilo is allergic to mushrooms. His brother Mason has to make all of the
mushrooms pizzas that are ordered. 15% of all of the pizzas ordered have
mushrooms on them. This month there were 9,456 pizza orders. How many
mushroom pizzas did Mason make this month?

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Name _____________________

Using the Fraction Based Method Worksheet 1

Find the percentage of the following numbers using fraction


method.

Problems Workspace
Example: 25% of 36 25% 36
36
Answer: 9

16% of 150

Answer:

22% of 650

Answer:

8% of 75

Answer:

11% of 400

Answer:

34% of 250

Answer:

71Page : © www.mathworksheetsland.com
Name _____________________

Determining Percentage with Fractions Worksheet 2

Find the percentage of the following numbers using


fraction method.

Problems Workspace
Example: 18% of 200 18% 200
200
Answer: 36

36

19% of 100

Answer:

23% of 500

Answer:

9% of 400

Answer:

14% of 350

Answer:

41% of 800

Answer:

72Page : © www.mathworksheetsland.com
Name _____________________

Determining Percentage with Fractions Homework 1


Find the percentage of the following numbers using
fraction method.

Problems Workspace
Example: 40% of 815 40% 815
815
Answer: 326

326

25% of 464

Answer:

20% of 185

Answer:

10% of 210

Answer:

28% of 225

Answer:

5% of 580

Answer:

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Name _____________________

Determining Percentage with Fractions Homework 2


Find the percentage of the following numbers using
fraction method.

Problems Workspace
Example: 20% of 780 20% 780
780
Answer: 156

156

15% of 480

Answer:

12% of 275

Answer:

11% of 900

Answer:

44% of 75

Answer:

48% of 275

Answer:

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Percentage of Integers (Using Ratios) Lesson

In late September, 18% of the trees on the school


property had their leaves change from green to
brown. The school property has 72 trees. How
many trees on the school property have
leaves that are brown? (Use the ratio/proportion method)

Explanation:

We are told to use the ratio/proportion method. To use this method we convert the
percentage to a fraction and then place our integer under an unknown variable (x).

What is 18% of 72?

Convert percentage to a fraction: 18% =

Create a ratio/proportion with an unknown value (x):

Solve for x: 100 1,296


Solve for x: 12.96 or 13 (rounded)

Final answer: 13 trees have brown leaves

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Percentage of Integers (Using Proportions) Guided Lesson


Directions: Use the proportion method to find the values below.

1) What is 22% of 936?

2) What is 80% of 60?

3) What is 38% of 88?

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Using Ratios to Find Percentages Worksheet 1

Find the percentage of the following numbers using ratio


method.

Problems Workspace
Example: 22% of 200 22% 200

Answer: 44 100 4400


44

20% of 225

Answer:

18% of 800

Answer:

63% of 400

Answer:

17% of 300

Answer:

25% of 440

Answer:

77Page : © www.mathworksheetsland.com
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Using Ratios to Find Percentages Worksheet 2

Find the percentage of the following numbers using ratio


method.

Problems Workspace
Example: 75% of 20 75% 20

Answer: 15 100 1500


15

23% of 1100

Answer:

28% of 100

Answer:

33% of 400

Answer:

35% of 240

Answer:

10% of 80

Answer:

78Page : © www.mathworksheetsland.com
Name ______________________________ Date __________________________

Using Ratios to Find Percentages Homework 1

Find the percentage of the following numbers using


ratio method.

Problems Workspace
Example: 6% of 50 6% 50

Answer: 3 100 300


3

8% of 125

Answer:

70% of 10

Answer:

25% of 48

Answer:

60% of 315

Answer:

45% of 280

Answer:

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Using Ratios to Find Percentages Homework 2

Find the percentage of the following numbers using


ratio method.

Problems Workspace
Example: 9% of 700 9% 700

Answer: 63 100 6300


63

5% of 80

Answer:

13% of 1200

Answer:

4% of 75

Answer:

70% of 650

Answer:

25% of 112

Answer:

80Page : © www.mathworksheetsland.com
Finding the Percentage of a Decimal Value Lesson

Problem: What is 18% of 58.34?

Explanation: The easiest method for finding the percentage of any value is to:
Step 1) convert a percentage to a decimal.

Step 2) multiply the decimal (step 1) by the value. (round if needed).

18% of 58.34
Step 1) Convert percentage to a
decimal.
18% = 0.18

Step 2) multiply the decimal (step


1) by the value.
0.18 x 58.34 = 10.50

18% of 58.34 = 10.50

81Page : © www.mathworksheetsland.com
Finding the Percentage of a Decimal Value Guided Lesson

1. Find the value of 45% of 98.13.

2. Miles has a lava lamp that can make up to 40.68 lava


bubbles per hour. Kyle’s lava lamp can make 65% of the
bubbles that Mile’s lamp can make. How many lava
bubbles can Kyle’s lava lamp make per hour?

3. During practice, Davis hits an average of 211.4 tennis balls


per hour. When Jenn practices, she hits 68% of the number
of balls that Davis does. How many balls does Jenn’s hit in
an average hour of practice.

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Percentage of Decimals Worksheet 1

Solve each problem. Round the answer to the nearest hundredth.

1. What is 15% of 16.25? 2. What is 9% of 18.18?

3. What is 25% of 24.12? 4. What is 18% of 30.12?

5. What is 5% of 10.75? 6. What is 16% of 19.38?

7. What is 20% of 9.82? 8. What is 13% of 17.38?

9. What is 6% of 12.82? 10. What is 12% of 24.38?

11. What is 5% of 35.4? 12. What is 22% of 21.28?

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Percentage of Decimals Worksheet 2

Solve each problem. Round the answer to the nearest hundredth.

1. What is 24% of 18.56? 2. What is 12% of 22.62?

3. What is 50% of 55.37? 4. What is 7% of 29.31?

5. What is 10% of 20.75? 6. What is 15% of 20.41?

7. What is 35% of 33.28? 8. What is 32% of 45.32?

9. What is 8% of 16.45? 10. What is 18% of 27.10?

11. What is 4% of 65.21? 12. What is 17% of 58.34?

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Percentages of Decimals
Homework 1

Solve each problem. Round the answer to the nearest hundredth.

1. What is 19% of 23.56? 2. What is 10% of 31.50?

3. What is 62% of 45.36? 4. What is 26% of 31.56?

5. What is 12% of 39.61? 6. What is 18% of 51.39?

7. What is 24% of 47.39? 8. What is 27% of 42.73?

9. What is 32% of 42.98? 10. What is 40% of 36.87?

11. What is 6% of 70.34? 12. What is 5% of 69.43?

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Percentages of Decimals Homework 2

Solve each problem. Round the answer to the nearest hundredth.

1. What is 24% of 44.17? 2. What is 11% of 15.36?

3. What is 5% of 79.19? 4. What is 7% of 45.45?

5. What is 18% of 26.43? 6. What is 23% of 47.54?

7. What is 32% of 26.80? 8. What is 21% of 25.25?

9. What is 25% of 38.78? 10. What is 12% of 59.41?

11. What is 14% of 60.05? 12. What is 42% of 61.15?

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Comparing Percentages of Values Lesson

Assuming you always like to have more


money than less money, which of the
following would you rather have?

A) 73% of $396 or B) 25% of $1,080

Explanation:

The easiest way to find the percentage of a value is to change the


percentage to decimal form and multiply the decimal with the
value.

A) 73% of $396 = 0.73 x 396 = $289.08

B) 25% of $1,080 = 0.25 x 1,080 = $270.00

$289.08 > $270.00

(73% of $396) (25% of $1,080)

I would rather have 73% of $396.

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Comparing Percentages of Values Guided Lesson

Which of the following values is greater?

1) 43% of 68 or 34% of 86

2) 68% of 832 or 86% of 764

3) 75% of 574 or 25% of 2,463

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Student name_______________________________ Score ______________

Which is more and by how much? Worksheet 1

A. 20% OF 500 500 x .20= 100


B. 15% OF 550 550 x .15= 82.50

ANSWER: A, 17.50 100 – 82.50 = 17.50

A. 28% OF 300
B. 35% OF 250

ANSWER:

A. 16% OF 500
B. 25% OF 450

ANSWER:

A. 15% OF 600
B. 30% OF 450

ANSWER:

A. 56% OF 250
B. 65% OF 110

ANSWER:

A. 36% OF 510
B. 90% OF 450

ANSWER:

A. 15% OF 500
B. 25% OF 300

ANSWER:

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Student name_______________________________ Score ______________

Which is more and by how much? Worksheet 2

A. 20% OF 500 500 x .20= 100


B. 15% OF 550 550 x .15= 82.50

ANSWER: A, 17.50 100 – 82.50 = 17.50

A. 23% OF 200
B. 25% OF 150

ANSWER:

A. 19% OF 4200
B. 25% OF 3800

ANSWER:

A. 45% OF 650
B. 30% OF 485

ANSWER:

A. 36% OF 250
B. 65% OF 110

ANSWER:

A. 36% OF 510
B. 28% OF 450

ANSWER:

A. 75% OF 550
B. 65% OF 333

ANSWER:

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Student name_______________________________ Score ______________

Which is more and by how much? Homework 1

A. 20% OF 500 500 x .20= 100


B. 15% OF 550 550 x .15= 82.50

ANSWER: A, 17.50 100 – 82.50 = 17.50

A. 63% OF 521
B. 36% OF 251

ANSWER:

A. 51% OF 420
B. 28% OF 290

ANSWER:

A. 26% OF 750
B. 45% OF 950

ANSWER:

A. 63% OF 520
B. 56% OF 480

ANSWER:

A. 39% OF 710
B. 41% OF 550

ANSWER:

A. 95% OF 420
B. 85% OF 520

ANSWER:

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Student name_______________________________ Score ______________

W hich is more and by how much? Homework 2

A. 20% OF 500 500 x .20= 100


B. 15% OF 550 550 x .15= 82.50

ANSWER: A, 17.50 100 – 82.50 = 17.50

A. 11% OF 251
B. 22% OF 151

ANSWER:

A. 49% OF 241
B. 75% OF 362

ANSWER:

A. 62% OF 570
B. 54% OF 625

ANSWER:

A. 36% OF 250
B. 25% OF 125

ANSWER:

A. 93% OF 520
B. 52% OF 950

ANSWER:

A. 58% OF 333
B. 85% OF 200

ANSWER:

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