6th Grade Math Worksheets - Free Printable

Educational worksheet: 6th Grade Math Worksheets. Download and print for classroom or home learning activities.

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1. Greg runs cross country. He runs 5 miles in 40 minutes. He runs 20 miles in 160 minutes. If he keeps the same pace, how long will it take him to run 15 miles? Fill in the table with the missing time for the 15-mile run, and then graph the data.

- The ratio of miles to time is constant. For 5 miles, it takes 40 minutes, so the rate is 40 minutes / 5 miles = 8 minutes per mile.
- For 15 miles: 15 miles × 8 minutes/mile = 120 minutes.
- Fill in the table: For 15 miles, the time is 120 minutes.
- Graph the points (5, 40), (15, 120), and (20, 160) on the coordinate grid.

2. Use the double number line to solve the problem.

- The ratio of boys to girls in gym class is 9 to 6. If there were 36 boys, how many girls were in gym class?
- The ratio 9:6 simplifies to 3:2.
- Set up a proportion: 9/6 = 36/x.
- Cross-multiply: 9x = 6 × 36 → 9x = 216 → x = 24.
- There were 24 girls in gym class.

Parent Tip: Review the logic above to help your child master the concept of grade 6 math worksheets.

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