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Understanding Ratios - Worksheet 6 - 6th Grade

Medium

Understand ratios as comparisons of two quantities (Medium)

18 problems · 15-20 minutes · Skills: ratios, number sense

About This Worksheet

This medium-level worksheet contains 18 problems designed for 6th Grade students practicing understanding ratios. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Ratios are the language of comparison in mathematics and everyday life. Mastering ratio notation and meaning unlocks proportional reasoning — the backbone of percents, scale, probability, and algebra.

  • Write ratios in three forms: fraction, colon, and word form
  • Understand a ratio as a comparison of two quantities
  • Identify part-to-part and part-to-whole ratios
  • Simplify ratios to lowest terms using common factors
  • Recognize equivalent ratios in real-world contexts like recipes

How to Solve: Worked Example

Example Problem: Simplify the ratio 12:8.
Solution Steps:
  1. Find the greatest common factor (GCF) of 12 and 8.
  2. GCF of 12 and 8 is 4.
  3. Divide both numbers by 4: 12 ÷ 4 = 3, 8 ÷ 4 = 2.
  4. The simplified ratio is 3:2.
Answer: 3:2
Tip: Simplify ratios by dividing both parts by their GCF, just like simplifying fractions.
1
In a class of 3 students, 1 are girls. Write the ratio of girls to boys
2
In a class of 7 students, 1 are girls. Write the ratio of girls to boys
3
Write the ratio 2 to 10 in fraction form
4
Write the ratio 7 to 10 in fraction form
5
Write the ratio 1 to 8 in fraction form
6
Write the ratio 3 to 1 in fraction form
7
In a class of 7 students, 3 are girls. Write the ratio of girls to boys
8
In a class of 15 students, 7 are girls. Write the ratio of girls to boys
9
Write the ratio 6 to 7 in fraction form
10
In a class of 9 students, 7 are girls. Write the ratio of girls to boys
11
In a class of 11 students, 8 are girls. Write the ratio of girls to boys
12
In a class of 6 students, 1 are girls. Write the ratio of girls to boys
13
In a class of 14 students, 4 are girls. Write the ratio of girls to boys
14
In a class of 9 students, 2 are girls. Write the ratio of girls to boys
15
In a class of 13 students, 4 are girls. Write the ratio of girls to boys
16
Write the ratio 4 to 2 in fraction form
17
In a class of 17 students, 8 are girls. Write the ratio of girls to boys
18
Write the ratio 7 to 1 in fraction form

Answer Key

1. 1:22. 1:63. 2/104. 7/105. 1/86. 3/17. 3:48. 7:89. 6/710. 7:211. 8:312. 1:513. 4:1014. 2:715. 4:916. 4/217. 8:918. 7/1

Frequently Asked Questions

How do I download this understanding ratios - worksheet 6 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this ratios and proportional relationships worksheet cover?

This worksheet focuses on ratios, number sense. It is designed for 6th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.