Equivalent Ratios & Tape Diagrams Worksheet

Printable “Ratio Problems using Tape Diagrams” worksheets:
Introduction to Ratios
Ratio Problems given One of Quantities
Ratio Problems given Total
Ratio Problems given Difference
Ratio Problems with Change of Ratio

Free printable and online worksheets to help Grade 6 students learn about how to use tape diagrams to find equivalent ratios. Solve equivalent ratio word problems when the part-to-part ratio is given and the value of one of the quantities is given.

Equivalent Ratios & Tape Diagrams

1. Understand the Problem:
   Read the problem carefully. Take note of the ratio in parts (e.g., 2 nuts to 3 bolts) and the value of one of those parts (e.g., there are 12 nuts).
   Identify what you need to find. It’s usually the value of the other quantity in the ratio.
   
2. Draw two tape diagrams representing the given ratio of the items being analyzed. (eg. one with 2 sections and one with 3 sections)
3. Determine how many items are represented by one section of the tape. (eg. 2 sections represent 12 nuts and so 1 section represents 6 nuts)
4. Count the number of sections represented by the unknown quantity. (eg. 3 sections to represent the bolts) 5: Multiply the number of sections found in step 4 by the number of items represented by each section found in step 3 to find the number of unknown items. (eg. 3 x 6 = 18)

For example:

Have a look at these videos if you need to review how to find equivalent ratios.

• Equivalent Ratios & Tape Diagrams

• Equivalent Ratios & Tape Diagrams

Click on the following worksheet to get a printable pdf document.
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More Equivalent Ratios & Tape Diagrams Worksheets

Printable
(Answers on the second page.)
Equivalent Ratios & Tape Diagrams Worksheet #1
Equivalent Ratios & Tape Diagrams Worksheet #2
Equivalent Ratios & Tape Diagrams Worksheet #3
Equivalent Ratios & Tape Diagrams Worksheet #4

Online
Ratio Word Problems I
Ratio Word Problems II
Ratio Word Problems III
Ratio Word Problems IV

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