Math Drills
Grade 5 Elementary School
Volume
Volume of Rectangular Prisms and Cubes
Observation
Finding the Volume
Finding the Capacity
Word Problems
- Counting 1 cm³ Units
- Formula
- Capacity Inside Measurements
- Whole-Number Dimensions Word Problems
- Decimal Dimensions Word Problems
Converting Units of Volume
Conversion
- cm³⇔mL
- cm³→L Whole Numbers
- cm³→L Decimals
- L→cm³
- L→m³
- m³→L
- cm³→m³ Whole Numbers
- cm³→m³ Decimals
- m³→cm³ Whole Numbers
- m³→cm³ Decimals
Volume and Weight of Water
Conversion
- Capacity→g cm³, mL
- dL→g
- cm³→kg
- L→kg
- g→Capacity cm³, mL, dL
- kg→Capacity cm³, L
- kL⇔t
- m³⇔t
Volume of Composite Figures
Finding the Volume (L-Shape and More)
Finding the Volume (Staircase Shape and More)
- L-Shape and Sideways L-Shape
- Convex Shape and T-Shape
- Sideways T-Shape
- U-Shape and Gate Shape Facing Down
- Staircase Shape
- 3-Step Staircase and 3-Step Staircase Left and Right
- Missing Corner and Missing Front-Top-Right Corner
- With a Hole Through the Center
Patterns of Change
Patterns of Change
Word Problems (Tables and Expressions)
Word Problems (2-Step)
Word Problems (Arrangement of Figures)
- Two Quantities That Change Together Tables and Expressions
- Patterns of Shapes Beads
- Patterns of Shapes Matchsticks
- Patterns of Shapes Tables and People
- Rule Table for Patterns of Shapes Two Steps
Multiplication of Decimals
Multiplication of Decimals Calculations
Column Calculation (× 1 Decimal Place)
Column Calculation (× 2 Decimal Places)
Calculation (2 Terms)
Calculation (3 Terms)
Fill in the Blank
- Whole Number×1 Decimal Place Column Calculation
- Whole Number×2 Decimal Places Column Calculation
- 1 Decimal Place×1 Decimal Place Column Calculation
- 2 Decimal Places×1 Decimal Place Column Calculation
- 1 Decimal Place×2 Decimal Places Column Calculation
- 2 Decimal Places×2 Decimal Places Column Calculation
- 2 Terms Calculation
- 3 Terms Calculation
- Fill in the Blank
Multiplication of Decimals Word Problems
Word Problems
- Density and Yield
- Decimal Multiples △ Times ○
- Per-Unit Quantity and Area
Summary Prints
Column Calculation
Calculation
Division of Decimals
Decimal ÷ Decimal Calculations
Calculation (Dividing Further)
Calculation (Rounding)
Calculation
Fill in the Blank
- Extending the Division
- Calculation
- Rounding Numbers
- Fill in the Blank
Division of Decimals Word Problems
Word Problems (Partitive, Quotitive Division)
Word Problems (Application, 2-Step)
- Partitive Division
- Quotitive Division
- Partitive Division Two Steps
- Quotitive Division with Rounding Up
- Remainder
- Percentage
- Per-Unit Quantity
- Applying to Figures
- Applying to Figures Two Steps
Word Problems with Rounded Answers
Word Problems
- Basics
- Two Steps
- Per-Unit Quantity
Mixed Calculations with Decimals
Rules of Calculation Expressions
Calculation (Distributive Law)
Calculation (Chained × and ÷)
Calculation (× and ÷ First)
Calculation (With Parentheses)
- Chain of Multiplication and Division, 3 Terms
- Order of Operations, Multiplication and Division First
- With Parentheses, Addition and Subtraction→Multiplication and Division
- Distributive Law
Word Problems Basic
Word Problems
- Addition and Division
- Subtraction and Division
- Subtraction and Multiplication
- Multiplication and Subtraction
- Multiplication and Subtraction Difference
Word Problems Application
Word Problems (Add-Divide, Multiply-Subtract)
Word Problems (Subtract-Divide, Multiply-Add)
- Addition and Division
- Subtraction and Division
- Division and Subtraction
- Multiplication and Subtraction
- Multiplication and Subtraction Difference
- Multiplication and Addition
- Addition and Multiplication Total Amount
Summary Prints
Calculation
Converting Compound Units
Converting Units of Length
Conversion
- km→km, m
- m→m, cm
- km, m→km
- m, cm→m
Converting Capacity Units
Conversion
- L→L, mL
- L, mL→L
Summary Prints
Conversion
Congruent Figures and Angles
Congruent Figures
Observation
- Finding Congruent Figures
Angles of a Triangle
Calculation
- Interior Angles
- Exterior Angles
Angles of a Quadrilateral
Calculation
- Interior Angles
- Exterior Angles
Angles of Polygons
Word Problems
- Sum of Interior Angles of a Polygon
- Angles of a Pentagon
- Angles of a Hexagon
Properties of Integers Divisors and Multiples
Divisors and Multiples Listing
Calculation (Divisors)
Calculation (Multiples)
- Listing Divisors
- Listing Multiples
Common Divisors and Greatest Common Divisor
Calculation (Listing Common Divisors)
Calculation (Greatest Common Divisor)
Word Problems (Common Divisors)
Word Problems (Using the GCD)
- Listing Common Divisors
- Greatest Common Divisor Calculation
- Listing Common Divisors Word Problems
- Using the Greatest Common Divisor
Common Multiples and Least Common Multiple
Calculation (Listing Common Multiples)
Calculation (Least Common Multiple)
Word Problems (Using the LCM)
- Listing Common Multiples
- Least Common Multiple Calculation
- Using the Least Common Multiple
Summary Prints
Calculation
Word Problems
Properties of Fractions
Reducing, Common Denominators, Equal Fractions
Calculation (Equivalent Fractions)
Calculation (Reducing Fractions)
Calculation (Common Denominators)
Calculation (Comparing Size)
- Equivalent Fractions Fill in the Blank
- Equivalent Fractions Two Blanks
- Simplifying Fractions
- Common Denominators Two Fractions
- Common Denominators Three Fractions
- Comparing Size Inequality Signs
Division and Fractions
Calculation (Basics)
Calculation (Reducing and Mixed Numbers)
Word Problems
- Expressing a Quotient as a Fraction
- Fraction→Division Reverse
- Simplifying and Converting to Mixed Numbers
- Partitive Division Word Problems
- How Many Times as Many Word Problems
Fractions and Decimals
Calculation (Fractions and Decimals)
Calculation (Addition and Subtraction)
Word Problems
- Decimal→Fraction
- Fraction→Decimal
Adding Fractions Unlike Denominators
Adding Proper Fractions Unlike Denominators
Calculation
Fill in the Blank
Word Problems
- Calculation
- Fill in the Blank
Adding Improper Fractions
Calculation
Fill in the Blank
- Calculation
- Fill in the Blank
Adding Mixed Numbers Unlike Denominators
Calculation
Fill in the Blank
- No Carrying
- Mixed Number + Proper Fraction
- With Carrying
- Fill in the Blank
Adding Fractions Word Problems and Applications
Word Problems (Multiples, Working Backward)
Word Problems (2-Step, Mixed Numbers)
- Unlike Denominators Multiple Relationship
- Unlike Denominators, Multiple Relationship Sum Is a Mixed Number
- Unlike Denominators Working Backwards
- Unlike Denominators
- Unlike Denominators Mixed Numbers
Adding 3 Fractions
Calculation
Fill in the Blank
Word Problems
- 3 Terms Expressions
- Fill in the Blank
- 3 Terms Word Problems
Summary Prints
Calculation
Word Problems
Fraction Subtraction and Mixed Operations
Subtracting Proper Fractions Unlike Denominators
Calculation
Fill in the Blank
Word Problems
- Calculation
- Fill in the Blank
- Word Problems
Subtracting Unlike Improper Fractions
Calculation
Fill in the Blank
Word Problems
- Calculation
- Difference Is a Proper Fraction
- Fill in the Blank
- Word Problems
Subtracting Mixed Numbers Unlike Denominators
Calculation (Mixed Number – Mixed Number)
Calculation (Mixed Number – Proper Fraction)
Fill in the Blank
- No Borrowing
- Mixed Number − Proper Fraction
- With Borrowing
- Mixed Number − Proper Fraction With Borrowing
- Fill in the Blank
Subtracting Fractions Word Problems and Applications
Word Problems (Finding the Difference)
Word Problems (Multiple Relationships)
- Unlike Denominators Multiple Relationship
- Unlike Denominators
- Unlike Denominators Finding the Difference
- Comparing and Working Backwards
- Unlike Denominators Mixed Numbers
Subtracting 3 Fractions
Calculation
Fill in the Blank
Word Problems
- 3 Terms, Successive Subtraction Expressions
- Fill in the Blank
- 3 Terms Word Problems, from a Proper Fraction
- 3 Terms Word Problems, from 1
Mixed Addition and Subtraction
Calculation
Fill in the Blank
Word Problems
- 3 Terms, No Parentheses
- 3 Terms, With Parentheses
- Fill in the Blank
- 3 Terms Word Problems, Proper Fractions
Addition and Subtraction of Fractions and Decimals
Calculation
Word Problems
- Fraction + Decimal
- Fraction − Decimal
- Word Problems
Summary Prints
Calculation
Word Problems
Average
Calculating the Average
Word Problems (Basic)
Word Problems (Working Backward, 2 Groups)
- Basics With a Table
- Working Backwards With a Table
- Basics
- Working Backwards
- Combining Two Groups
Amount per Unit Quantity
Amount per Unit Quantity
Word Problems (Comparison, Forward)
- Comparing
- Finding the Per-Unit Quantity
- Forward, One Step
- Forward, Two Steps
- Working Backwards, One Step
- Working Backwards, Two Steps
- Unit Price from the Difference
- Population Density
Speed
Speed, Distance, and Time
Word Problems (Finding the Speed)
Word Problems (Finding the Distance)
Word Problems (Finding the Time)
- Finding the Speed
- Finding the Speed Two Steps
- Finding the Distance
- Finding the Distance Two Steps
- Finding the Time
- Finding the Time Two Steps
Converting Units of Speed
Word Problems
- Converting Units
- Converting Units Two Steps
- Comparing Speeds
Summary Prints
Word Problems
Area
Area of a Triangle
Finding the Area
- Calculation
- Height Outside the Triangle Obtuse
- Triangles with an Unused Length
Area of a Parallelogram
Finding the Area
- Calculation
Area of a Trapezoid
Finding the Area
- Calculation
- Right Trapezoid
Area of Rhombuses and Kites
Finding the Area
- Rhombus
- Rhombus Half-Diagonals
- Kite
Applications of Area
Calculation
- Triangles with Equal Areas Selection
- Finding a Side from the Area Rectangle, Decimals
- Finding a Side from the Area Triangle, Parallelogram
Summary Prints
Finding the Area
Percentage
Expressing a Percentage
Conversion (Percentage)
- Decimal→Percentage
- Percentage→Decimal
Finding the Percentage
Word Problems (Decimals, Basic)
Word Problems (%, Application)
- Decimals Basics
- Decimals How Many Times as Many
- % Composition Ratio
- Rate of Increase and Decrease Decimals
- Discount Rate %, Two Steps
Finding the Compared Quantity
Word Problems (Basic)
Word Problems (Increase/Decrease, 2 Steps)
- Basics Decimals and %
- Ratio Greater Than 1
- Finding the Amount After an Increase
- Finding the Amount After a Decrease
- % Two Successive Stages
Finding the Base Quantity
Word Problems (Decimals, %)
- Decimals Basics
- Decimals Applying Increase and Decrease
- % Basics
- % Applications
Band Graphs and Pie Charts
Band Graphs
Reading (Multiple Questions)
- Reading
Pie Charts
Reading (Multiple Questions)
- Reading
Circles and Regular Polygons
Properties of Regular Polygons
Word Problems
- Properties of Regular Polygons
Circumference of a Circle
Calculation
Word Problems
- From the Diameter
- From the Radius
- Finding the Diameter
- From the Diameter Word Problems
- From the Radius Word Problems
- Finding the Diameter Word Problems
The Circumference of Various Circles
Calculation
- Semicircle From the Diameter
- Semicircle From the Radius
- Quarter Circle
- Quarter Circle 2
- Three-Quarter Circle
- Annulus Donut
Perimeter of Composite Figures
Calculation (Rectangle and Semicircle)
Calculation (S-Curves, Stars, and More)
- Rectangle − Semicircular Notch
- Rectangle + Semicircle on One Side
- Convex and Concave Mixed
- Track Shape
- S-Shape and Comma Shape
- Combining Large and Small Semicircles
- Square + Quarter-Circle Arcs
- Star Shape from Quarter Circles at the Four Corners
Prisms and Cylinders
Prisms and Cylinders
Observation
- Identifying Prisms and Cylinders
- Properties of Prisms Vertices, Edges, Faces
Various Word Problems
Expressions Using a Box
Word Problems (Addition and Subtraction)
Word Problems (Multiplication, Division)
- Addition and Subtraction
- Multiplication and Division
Multiple and Difference/Sum Word Problems
Word Problems (Multiples and Difference)
Word Problems (Multiples and Total)
- Multiples and Difference One Question
- Multiples and Difference Two Questions
- Multiples and Sum
Excess and Shortage Problems
Word Problems
- Basics
- Number of People + Total