MathematicsFreePrintable

Ratio Detective

A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Ratio Detective worksheet preview

Ratio Detective

Worksheet illustration

📚 Part 1: Quick Check — Multiple Choice

1. Which choice best defines a ratio?

A comparison of two quantities by division

A method for adding fractions

A way to measure angles

2. Which shows "5 to 12" in the three correct forms?

5:12, 5/12, "5 to 12"

12:5, 12/5, "12 to 5"

5:12, 12/5, "5 by 12"

3. Simplify the ratio 9:12.

3:4

9:4

4:3

4. Check all that are equivalent to 2:3.

4:6

6:9

3:2

8:12

✏️ Part 2: Short Answers & Word Problems

5. Write the ratio of 7 boys to 14 girls in three forms:

Use formats: colon, fraction, and words (for example: "a to b").

6. If 5 pencils cost $10, what is the ratio of pencils to dollars? Simplify.
7. A recipe uses 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how many cups of sugar do you need? Show your work.
8. Give one real-world example of a ratio from home or school. Write the ratio in colon form and explain briefly why it is useful.

🕵️‍♂️ Part 3: Detective Challenge — Match Equivalent Forms

9. Draw a line to match each phrase (left) with the equivalent numeric form (right).
A. "Four to nine"
B. "Three out of eight" (ratio)
C. "Ten to five"
1. 10:5
2. 4:9
3. 3:8

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds