# Lesson Worksheet: Equivalent Ratios Mathematics • 6th Grade

In this worksheet, we will practice simplifying ratios, whether they be part-to-part ratios or three-part ratios, and how to find equivalents to these ratios.

Q1:

Find the ratio in its simplest form.

• A
• B
• C
• D
• E

Q2:

Express the ratio in its simplest form.

• A
• B
• C
• D
• E

Q3:

A boy has 209 LE and his sister has 132 LE. What is the ratio between his money and hers in its simplest form?

• A
• B
• C
• D
• E

Q4:

Which of the following ratios is equivalent to 1.5 : 4.6?

• A7.5 : 10.6
• B7.5 : 23
• C3 : 2.3
• D7.5 : 4.6
• E3 : 4.6

Q5:

We can find equivalent ratios by multiplying or dividing both sides by the same number. For example, 1 : 5 is equivalent to 2 : 10. Write a ratio equivalent to by 4 that is the result of multiplying both sides by 4.

• A
• B
• C
• D
• E

Write a ratio equivalent to 3 : 8 that is the result of multiplying both sides by 5.

• A15 : 8
• B3 : 40
• C15 : 40
• D40 : 15
• E8 : 13

Q6:

Which of the following ratios is equivalent to 3 : 7?

• A7 : 3
• B12 : 28
• C7 : 11
• D1 : 21
• E1 : 5

Q7:

If , then which of the following represent the ratio in its simplest form?

• A
• B
• C
• D
• E

Q8:

of the circle’s area is shaded and of the triangle’s area is shaded. What is the ratio between the area of the circle and the area of the triangle? • A
• B
• C
• D
• E

Q9:

Given that , which of the following correctly express the ratio ?

• A or
• B or
• C or
• D or

Q10:

A student got 30 out of 90 marks in the first-term exam in physics, and he got 81 out of 90 in the second-term exam. Express the ratio of his total marks scored in the two exams to the total marks available in its simplest form.

• A
• B
• C
• D

Q11:

A square and a rectangle have the same length perimeters, and the length of the rectangle is five times its width. What is the ratio between the area of the rectangle and the area of the square in its simplest form?

• A
• B
• C
• D

Q12:

Express the ratio as a fraction in its simplest form.

• A
• B
• C
• D

Q13:

Express the ratio of 72 minutes to 30 minutes in its simplest form.

• A
• B
• C
• D
• E

Q14:

Are the ratios and equivalent?

• ANo
• BYes

Q15:

Fill in the blank:

Q16:

Which of the following has an equivalent ratio to that of the shown figure? • A • B • C • D • E Q17:

Are the ratios 7 : 8 and 21 : 22 equivalent?

• AYes
• BNo

Q18:

Fill in the blank: .

Q19:

Are and equivalent ratios?

• AYes
• BNo

Q20:

If the ratios 6 : 4 and 4 :  are equivalent, find the value of .

• A
• B
• C6
• D
• E16

Q21:

Write the ratio between the two numbers 28 and 40 in its simplest form.

• A
• B
• C
• D

Q22:

Complete the following pattern: .

• A
• B
• C
• D
• E

Q23:

Write a ratio equivalent to that is the result of dividing both sides by 6.

• A
• B
• C
• D
• E

Write a ratio equivalent to 44 : 60 that is the result of dividing both sides by 4.

• A11 : 60
• B11 : 15
• C44 : 15
• D15 : 11
• E40 : 56

Q24:

Which of the following ratios is equivalent to 3 : 9?

• A9 : 3
• B1 : 7
• C6 : 12
• D2 : 6
• E1 : 27

Q25:

The given table shows the number of points each student scored on a math test. Each question was worth an equal number of points. If Mason answered 37 questions correctly, determine the number of questions Michael answered correctly.

 Student Points Michael Mason Matthew 58 74 60