Grade 6 Percents - Hard Practice
A hard grade 6 worksheet for Percentages.
Worksheet snapshot
- Percentages
- Key concepts: Understanding core percentages concepts for Grade 6; Applying percentages strategies appropriate to Grade 6
- Students master percentages at Grade 6 level, working with challenging problems, explaining their reasoning, and applying concepts to new situations.
- Apply it: Percentages at the Grade 6 level connects to everyday situations students encounter: problem-solving in daily life, making sense of quantities and relationships, and building mathematical literacy for future learning.
- What is 68% of 526?
- What is 47% of 76?
- What is 11% of 710?
About Percentages
Percentages represent ratios out of 100 and are used extensively to compare quantities, show change, and represent data. Students learn to convert between percents, fractions, and decimals, and solve percent problems.
Percentages are used constantly in everyday life—sales, taxes, tips, interest rates, grades, statistics, and data representation. Understanding percents is essential for financial literacy, data interpretation, and informed decision-making.
Percentages
Convert among percents, fractions, and decimals; find a percent of a number; solve percent increase/decrease contexts.
This hard level worksheet:
Percent increase/decrease and reverse percent problems; compare two percents with different bases; explain solutions with equations and models.
Key Concepts
- Percent means per hundred
- Convert percent ↔ fraction ↔ decimal
- Percent of a number and percent change
Prerequisite skills
Fraction/decimal equivalence; multiply/divide decimals; ratio/unit rate basics.
Teaching Strategies
Model with grids/number lines; push benchmark percents first; use multiple strategies (fraction of, decimal multiply, proportion) and require estimation before computing.
Assessment ideas
Test conversion fluency between percents, decimals, and fractions. Include percent of a number problems. Ask students to find what percent one number is of another. Include percent increase/decrease problems. Use real-world contexts (discounts, tips, taxes).
Common Challenges
Using wrong base when comparing percents; misplacing decimals; relying on a single trick without sense-making.
Real-World Applications
Discounts, tips, taxes, grades, interest, and data comparisons.
Extension Activities
Create a sale scenario with stacked discounts; explain percent change two ways (difference/base and multiplier).
Parent Tips
Have your child estimate tips/discounts when shopping or dining and check the exact value after.