⚡ Skill Drills

Master essential skills through targeted practice drills. These focused exercises will build speed, accuracy, and confidence in key areas.

🎯 Core Skill Areas

🧮 Mental Math

• Mental Math Toolkit - Fast calculation techniques and shortcuts
• Key focus: Fractions, percents, squares, approximations, and quick arithmetic

🔢 Modular Arithmetic

• Modular Arithmetic Sprints - Quick residue calculations and patterns
• Key focus: Fast mod calculations, common cycles, last digits, and divisibility

📐 Geometry Facts

• Geometry Mini-Flashcards - Essential geometric relationships and formulas
• Key focus: Angle facts, area formulas, special triangles, and circle properties

🎲 Probability & EV

• Probability & EV Snippets - Expected value calculations and probability shortcuts
• Key focus: Indicator variables, small distributions, and quick probability calculations

📊 Estimation

• Estimation Sprints - Quick approximation and bounds techniques
• Key focus: Fermi estimates, order of magnitude, and rapid approximation

🎯 How to Use These Drills

Practice Schedule

• Daily practice: 15-30 minutes per day
• Focus areas: Work on your weakest skills
• Progressive difficulty: Start easy, increase difficulty
• Time pressure: Practice under time constraints
• Accuracy first: Speed comes with accuracy

Drill Format

• Sprint format: 3-5 minute focused sessions
• Target scores: Aim for specific accuracy targets
• Progressive difficulty: Increase complexity over time
• Time tracking: Monitor your improvement
• Error analysis: Learn from mistakes

📊 Skill Development Framework

Mental Math Mastery

• Basic arithmetic: Addition, subtraction, multiplication, division
• Fractions: Converting, adding, subtracting, multiplying, dividing
• Percents: Calculating, converting, applications
• Squares: Perfect squares, approximations
• Approximations: Rounding, estimation, quick calculations

Modular Arithmetic Mastery

• Basic operations: Addition, subtraction, multiplication mod n
• Exponentiation: Fast modular exponentiation
• Common cycles: Last digit patterns, divisibility rules
• Applications: Remainder problems, divisibility problems

Geometry Mastery

• Angle relationships: Parallel lines, triangles, circles
• Area formulas: Triangles, rectangles, circles, polygons
• Special triangles: 30-60-90, 45-45-90, Pythagorean triples
• Circle properties: Central angles, inscribed angles, power of a point

Probability Mastery

• Basic probability: Counting, combinations, permutations
• Expected value: Linearity, indicator variables
• Small distributions: Binomial, geometric, uniform
• Applications: Counting problems, probability problems

Estimation Mastery

• Order of magnitude: Powers of 10, scientific notation
• Approximation techniques: Linear approximation, bounds
• Fermi estimates: Quick order-of-magnitude calculations
• Applications: Verification, quick checks, bounds

🚀 Quick Reference

Daily Practice:

• Mental math: 10 minutes
• Modular arithmetic: 5 minutes
• Geometry facts: 5 minutes
• Probability/EV: 5 minutes
• Estimation: 5 minutes

Weekly Goals:

• Improve accuracy: Target 90%+ accuracy
• Increase speed: Reduce time per problem
• Build confidence: Practice until automatic
• Track progress: Monitor improvement
• Focus on weaknesses: Work on challenging areas

Next: Mental Math Toolkit | Back to: Strategy Guide