Printable Factorials Worksheet | Grade 8 Math

This worksheet provides focused practice for students learning to evaluate factorials. It builds procedural fluency by presenting a clear formula, a worked example, and a set of targeted problems. Students will apply the rule n! = n * (n-1) * ... * 1 to calculate the value of integers with the factorial notation.

At a Glance

• Grade: High School (7-9) · Subject: Math
• Standard: CCSS.MATH.CONTENT.HSS-CP.B.9 — Use permutations and combinations to compute probabilities.
• Skill Focus: Evaluating factorials
• Format: 1 page · 8 problems · Answer key included · PDF
• Best For: Introductory practice or skill reinforcement
• Time: 10–15 minutes

This single-page resource features a formula box, a worked example for 6!, and 8 practice problems in a two-column grid. A full answer key is included for efficient grading or student self-check.

Skill Progression

This worksheet follows a gradual release model.

• Guided Practice: An explicit formula and a worked example for 6! establish the procedure.
• Supported Practice: Initial problems use smaller numbers (e.g., 2!, 3!) so students can focus on the process.
• Independent Practice: Students then solve problems with larger numbers like 8! and 10!, demonstrating independent application of the formula.

This structure helps students internalize the factorial concept before tackling more complex calculations.

Standards Alignment

This worksheet builds a key skill for high school probability standards, aligning to CCSS.MATH.CONTENT.HSS-CP.B.9, which requires students to "Use permutations and combinations to compute probabilities." Mastering factorial calculation is a prerequisite for understanding permutations. The standard code can be copied directly into lesson plans or curriculum maps.

How to Use It

Use this as a warm-up before a permutations lesson or as a homework assignment. For a quick formative check, see if students correctly expand the notation before multiplying—this shows process understanding, not just calculation skill. Expected completion time is 10-15 minutes.

Who It's For

Ideal for students in grades 7-9 being introduced to factorials. It's also a great review for Algebra 2 or Pre-Calculus students before units on sequences or probability. Pair with an anchor chart of the first 10 factorials for extra support.

Providing structured, repeatable practice on foundational skills like factorials is a key component of effective mathematics instruction. This worksheet offers the focused drill-and-practice that helps cement procedural fluency, a concept supported by extensive research (RAND AIRS 2024). By mastering the factorial calculation required by CCSS.MATH.CONTENT.HSS-CP.B.9, students are better prepared for complex probability problems. The worksheet isolates this single skill—evaluating the factorial n!—allowing teachers to diagnose misconceptions before moving on to permutations and combinations. The format, a single page with 8 problems, aligns with findings on cognitive load, ensuring students can focus on the mathematical process. This targeted approach supports the development of automaticity, freeing up working memory for higher-order thinking in subsequent statistics and probability lessons. This resource provides a clear path to mastering a critical pre-algebra and pre-calculus building block.