# 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

**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 | Michael | Mason | Matthew |
---|---|---|---|

Points | 58 | 74 | 60 |