Grade 5 Math Worksheets
Free printable worksheets for fifth graders. Master decimal operations, multiply and divide fractions, explore volume, and prepare for middle school algebra.
Start Grade 5 Quiz →What Your Fifth Grader Will Learn
Grade 5 is the bridge to middle school mathematics. Students master operations with decimals and fractions, explore three-dimensional geometry, work with the coordinate plane, and begin algebraic thinking with expressions and equations. Fifth grade builds the critical thinking and problem-solving skills needed for success in higher math.
Decimal Operations
Students fluently add, subtract, multiply, and divide decimals to hundredths. They multiply decimals by whole numbers (3.75 × 6), divide decimals by whole numbers (12.5 ÷ 5), and understand decimal place value deeply. Real-world problems involving money, measurement, and data analysis make decimal operations practical and meaningful.
Fraction Multiplication & Division
Fifth graders multiply fractions by fractions (2/3 × 3/4), divide whole numbers by unit fractions (4 ÷ 1/2 = 8), and divide unit fractions by whole numbers (1/3 ÷ 5 = 1/15). They understand these operations conceptually using visual models and apply them to solve complex word problems. This is the culmination of elementary fraction work.
Volume & 3D Geometry
Students explore three-dimensional shapes, calculating the volume of rectangular prisms using the formula V = l × w × h. They understand volume as the number of unit cubes that fill a space and solve real-world problems involving capacity, shipping boxes, and containers. This spatial reasoning builds engineering and design thinking.
Coordinate Plane
Fifth grade introduces the coordinate plane with ordered pairs (x, y). Students plot points, identify coordinates, solve problems involving distance and patterns on graphs, and understand the relationship between coordinates and location. This foundational skill is essential for algebra and higher mathematics.
Algebraic Expressions & Equations
Students begin algebraic thinking by writing and evaluating numerical expressions using parentheses, brackets, and braces. They understand the order of operations (PEMDAS), write simple expressions to record calculations (3 × (4 + 2)), and analyze patterns and relationships. This prepares them for formal algebra in middle school.
Advanced Multi-Digit Operations
Fifth graders perform all operations with multi-digit whole numbers fluently. They multiply 3-digit by 2-digit numbers (456 × 78), divide 4-digit by 2-digit numbers with remainders, and solve multi-step word problems requiring strategic thinking about which operations to use and in what order.
Effective Practice Strategies for Fifth Graders
🎯 Master PEMDAS
Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Practice order of operations daily to build automaticity.
📊 Use Real Data
Practice with real-world data: sports statistics, weather temperatures, cooking measurements. Real contexts make abstract concepts concrete.
🧮 Check with Estimation
Before solving 4.8 × 3.2, estimate: "about 5 × 3 = 15." After calculating, verify your answer (15.36) is reasonable.
🔗 Connect to Earlier Learning
Show how new concepts build on prior knowledge: dividing fractions is related to multiplication, decimals connect to fractions and place value.
Aligned with Grade 5 Standards
Our Grade 5 worksheets comprehensively cover Common Core State Standards for fifth grade mathematics:
- 5.NBT.B.7: Add, subtract, multiply, and divide decimals to hundredths using concrete models or drawings and strategies based on place value
- 5.NF.B.3: Interpret a fraction as division of the numerator by the denominator
- 5.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction
- 5.NF.B.7: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions
- 5.MD.C.5: Relate volume to the operations of multiplication and addition and solve real world problems involving volume
- 5.OA.A.2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them