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 |