- KITTY
- PRINT
- IMAGE
- CHALLENGE
- CALCULATOR
- New Worksheet

Name
Grade
School

Date
Questions10
Score

1

Iva’s monthly income is $1100 and her savings is $500. Find savings to expenses ratio.

2

Out of 168 students in a class, 42 are boys. Find boys to girls ratio.

3

Length and breadth of a rectangular field are 144 feet and 32 feet respectively. Find the ratio of length to breadth of the field.

4

Out of 60 students in a class, 20 prefer football, 28 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

5

There are 105 teachers in a school of 2700 students. Find number of teachers to number of students ratio.

6

In a city of 15900 people, 9200 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

7

Richard’s monthly income is $960 and him savings is $320. Find savings to expenses ratio.

8

Out of 78 students in a class, 30 are boys. Find boys to girls ratio.

9

Length and breadth of a rectangular field are 72 feet and 24 feet respectively. Find the ratio of length to breadth of the field.

10

Out of 42 students in a class, 9 prefer football, 24 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Answers Key

Show All Workout

1

Iva’s monthly income is $1100 and her savings is $500. Find savings to expenses ratio.

Savings to expenses ratio is 5:6

Solution

Iva's Income = $1100

Savings = $500

Expenses = 1100 - 500 = 600

∴ savings to expenses ratio = 500:600 = 5:6

Savings = $500

Expenses = 1100 - 500 = 600

∴ savings to expenses ratio = 500:600 = 5:6

2

Out of 168 students in a class, 42 are boys. Find boys to girls ratio.

Boys to girls ratio is 1:3

Solution

Total Number of students = 168

boys = 42

girls = 168 - 42 = 126

∴ Boys to girls ratio = 42:126 = 1:3

boys = 42

girls = 168 - 42 = 126

∴ Boys to girls ratio = 42:126 = 1:3

3

Length and breadth of a rectangular field are 144 feet and 32 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 9:2

Solution

Length of a rectangular field = 144

breadth of a rectangular field = 32

∴ Length to breadth ratio = 144:32 = 9:2

breadth of a rectangular field = 32

∴ Length to breadth ratio = 144:32 = 9:2

4

Out of 60 students in a class, 20 prefer football, 28 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Number of students who prefer football to number of students who prefer tennis ratio is 5:3

Solution

Total Number of students = 60

Number of students prefer football = 20

Number of students prefer baseball = 28

Number of students prefer tennis =60 - (20 + 28) = 12

∴ Number of students who prefer football to number of students who prefer tennis ratio = 20:12 = 5:3

Number of students prefer football = 20

Number of students prefer baseball = 28

Number of students prefer tennis =60 - (20 + 28) = 12

∴ Number of students who prefer football to number of students who prefer tennis ratio = 20:12 = 5:3

5

There are 105 teachers in a school of 2700 students. Find number of teachers to number of students ratio.

number of teachers to number of students ratio is 7:180

Solution

Total Number of teachers = 105

Total Number of students = 2700

∴ Number of teachers to number of students ratio = 105:2700 = 7:180

Total Number of students = 2700

∴ Number of teachers to number of students ratio = 105:2700 = 7:180

6

In a city of 15900 people, 9200 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Government employees to self-employed ratio is 92:67

Solution

Number of people in the city = $15900

Number of Government employees = $9200

Self employed = 15900 - 9200 = 6700

∴ Government employees to self-employed ratio = 9200:6700 = 92:67

Number of Government employees = $9200

Self employed = 15900 - 9200 = 6700

∴ Government employees to self-employed ratio = 9200:6700 = 92:67

7

Richard’s monthly income is $960 and him savings is $320. Find savings to expenses ratio.

Savings to expenses ratio is 1:2

Solution

Richard's Income = $960

Savings = $320

Expenses = 960 - 320 = 640

∴ savings to expenses ratio = 320:640 = 1:2

Savings = $320

Expenses = 960 - 320 = 640

∴ savings to expenses ratio = 320:640 = 1:2

8

Out of 78 students in a class, 30 are boys. Find boys to girls ratio.

Boys to girls ratio is 5:8

Solution

Total Number of students = 78

boys = 30

girls = 78 - 30 = 48

∴ Boys to girls ratio = 30:48 = 5:8

boys = 30

girls = 78 - 30 = 48

∴ Boys to girls ratio = 30:48 = 5:8

9

Length and breadth of a rectangular field are 72 feet and 24 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 3:1

Solution

Length of a rectangular field = 72

breadth of a rectangular field = 24

∴ Length to breadth ratio = 72:24 = 3:1

breadth of a rectangular field = 24

∴ Length to breadth ratio = 72:24 = 3:1

10

Out of 42 students in a class, 9 prefer football, 24 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Number of students who prefer football to number of students who prefer tennis ratio is 1:1

Solution

Total Number of students = 42

Number of students prefer football = 9

Number of students prefer baseball = 24

Number of students prefer tennis =42 - (9 + 24) = 9

∴ Number of students who prefer football to number of students who prefer tennis ratio = 9:9 = 1:1

Number of students prefer football = 9

Number of students prefer baseball = 24

Number of students prefer tennis =42 - (9 + 24) = 9

∴ Number of students who prefer football to number of students who prefer tennis ratio = 9:9 = 1:1

Simplifying ratios (word problems) worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to write the ratios for the following statements.

In this sixth grade ratio & proportion worksheet, students are required to read the word problems and write the simplified (equivalent) ratio. Use the data in the sentence, find the antecedent and consequent of the ratio and write in the reduced form.

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find simplified ratio for the ratio and proportion word problems.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems, or step by step calculation on how to find the simplified ratio for the given word problems.

Related Worksheets

Related Challenges

RankUpturn.com © 2017 - 2021

Loading...

Loading...

Loading...

Loading...

Kitty

Hey! I'm Kitty

I can answer you simple math queries!

Hey! I'm Kitty

I can answer you simple math queries!

Question
Kitty's Answer

Login
Register

Login
Register