Math Drills
Grade 5 Elementary School
In Multiplication of Decimals and Division of Decimals, situations appear where multiplying makes the answer smaller. The view built up with whole numbers, that multiplying increases and dividing decreases, stops holding in this year.
Amount per Unit Quantity, Speed and Percentage are all connected by one idea: expressing the relationship between two quantities as a single number. Adding Fractions (Unlike Denominators) and Fraction Subtraction and Mixed Operations add the step of matching denominators before calculating.
Volume
Volume of Rectangular Prisms and Cubes
Observation
- Counting 1 cm³ Units6 questions
Finding the Volume
- Formula9 questions
Finding the Capacity
- Capacity (Inside Measurements)6 questions
Word Problems
- Whole-Number Dimensions (Word Problems)3 questions
- Decimal Dimensions (Word Problems)3 questions
Converting Units of Volume
Conversion
- cm³⇔mL2 questions
- cm³→L (Whole Numbers)2 questions
- cm³→L (Decimals)2 questions
- L→m³2 questions
- L→cm³2 questions
- m³→L2 questions
- cm³→m³ (Whole Numbers)2 questions
- cm³→m³ (Decimals)2 questions
- m³→cm³ (Whole Numbers)2 questions
- m³→cm³ (Decimals)2 questions
Volume and Weight of Water
Conversion
- Capacity→g (cm³, mL)2 questions
- dL→g2 questions
- cm³→kg2 questions
- L→kg2 questions
- g→Capacity (cm³, mL, dL)4 questions
- kg→Capacity (cm³, L)4 questions
- kL⇔t2 questions
- m³⇔t2 questions
Volume of Composite Figures
Finding the Volume (L-Shape and More)
- Convex Shape and T-Shape1 question
- With a Hole Through the Center1 question
- L-Shape and Sideways L-Shape1 question
- Sideways T-Shape1 question
Finding the Volume (Staircase Shape and More)
- Missing Corner and Missing Front-Top-Right Corner1 question
- Staircase Shape1 question
- 3-Step Staircase and 3-Step Staircase (Left and Right)1 question
- U-Shape and Gate Shape (Facing Down)1 question
Patterns of Change
Patterns of Change
Word Problems (Tables and Expressions)
- Two Quantities That Change Together (Tables and Expressions)1 question
Word Problems (2-Step)
- Rule Table for Patterns of Shapes (Two Steps)1 question
Word Problems (Arrangement of Figures)
Shuffled questions
- Patterns of Shapes (Beads)2 questions
- Patterns of Shapes (Matchsticks)1 question
- Patterns of Shapes (Tables and People)2 questions
Multiplication of Decimals
Multiplication of Decimals Calculations
Column Calculation (× 1 Decimal Place)
- Whole Number×1 Decimal Place (Column Calculation)3 questions
- 1 Decimal Place×1 Decimal Place (Column Calculation)6 questions
- 2 Decimal Places×1 Decimal Place (Column Calculation)6 questions
Column Calculation (× 2 Decimal Places)
- Whole Number×2 Decimal Places (Column Calculation)6 questions
- 1 Decimal Place×2 Decimal Places (Column Calculation)3 questions
- 2 Decimal Places×2 Decimal Places (Column Calculation)3 questions
Calculation (2 Terms)
- 2 Terms (Calculation)20 questions
Calculation (3 Terms)
- 3 Terms (Calculation)20 questions
Fill in the Blank
- Fill in the Blank20 questions
Multiplication of Decimals Word Problems
Word Problems
- Density and Yield2 questions
- Decimal Multiples (△ Times ○)2 questions
- Per-Unit Quantity and Area2 questions
Summary Prints
Column Calculation
- Multiplication of Decimals (Calculations) · Whole Number×1 Decimal Place (Column Calculation)3 questions
- Multiplication of Decimals (Calculations) · 1 Decimal Place×1 Decimal Place (Column Calculation)3 questions
- Multiplication of Decimals (Calculations) · 2 Decimal Places×1 Decimal Place (Column Calculation)3 questions
- Multiplication of Decimals (Calculations) · Whole Number×2 Decimal Places (Column Calculation)2 questions
- Multiplication of Decimals (Calculations) · 1 Decimal Place×2 Decimal Places (Column Calculation)2 questions
- Multiplication of Decimals (Calculations) · 2 Decimal Places×2 Decimal Places (Column Calculation)2 questions
Calculation
- Multiplication of Decimals (Calculations) · 2 Terms (Calculation)10 questions
- Multiplication of Decimals (Calculations) · 3 Terms (Calculation)10 questions
Division of Decimals
Decimal ÷ Decimal Calculations
Calculation (Dividing Further)
- Extending the Division12 questions
Calculation (Rounding)
- Rounding Numbers12 questions
Calculation
- Calculation20 questions
Fill in the Blank
Shuffled questions
- Fill in the Blank20 questions
Division of Decimals Word Problems
Word Problems (Partitive, Quotitive Division)
- Partitive Division2 questions
- Applying to Figures1 question
- Quotitive Division1 question
- Remainder1 question
Word Problems (Application, 2-Step)
- Applying to Figures (Two Steps)1 question
- Partitive Division (Two Steps)1 question
- Quotitive Division with Rounding Up1 question
- Percentage1 question
- Per-Unit Quantity1 question
Word Problems with Rounded Answers
Word Problems
- Basics2 questions
- Two Steps2 questions
- Per-Unit Quantity1 question
Mixed Calculations with Decimals
Rules of Calculation Expressions
Calculation (Distributive Law)
- Distributive Law12 questions
Calculation (Chained × and ÷)
- Chain of Multiplication and Division, 3 Terms12 questions
Calculation (× and ÷ First)
- Order of Operations, Multiplication and Division First12 questions
Calculation (With Parentheses)
- With Parentheses, Addition and Subtraction→Multiplication and Division12 questions
Word Problems Basic
Word Problems
- Addition and Division2 questions
- Multiplication and Subtraction1 question
- Multiplication and Subtraction (Difference)1 question
- Subtraction and Multiplication1 question
- Subtraction and Division1 question
Word Problems Application
Word Problems (Add-Divide, Multiply-Subtract)
- Addition and Division2 questions
- Division and Subtraction2 questions
- Multiplication and Subtraction1 question
- Multiplication and Subtraction (Difference)1 question
Word Problems (Subtract-Divide, Multiply-Add)
- Multiplication and Addition2 questions
- Addition and Multiplication (Total Amount)2 questions
- Subtraction and Division2 questions
Summary Prints
Calculation
- Rules of Calculation (Expressions) · Distributive Law2 questions
- Rules of Calculation (Expressions) · Chain of Multiplication and Division, 3 Terms4 questions
- Rules of Calculation (Expressions) · Order of Operations, Multiplication and Division First4 questions
- Rules of Calculation (Expressions) · With Parentheses, Addition and Subtraction→Multiplication and Division2 questions
Converting Compound Units
Converting Units of Length
Conversion
- km→km, m4 questions
- m→m, cm4 questions
- km→km, m4 questions
- m→m, cm4 questions
Converting Capacity Units
Conversion
- L→L, mL8 questions
- L, mL→L8 questions
Summary Prints
Conversion
- Converting Units of Length · km→km, m3 questions
- Converting Units of Length · km, m→km3 questions
- Converting Units of Length · m→m, cm3 questions
- Converting Units of Length · m, cm→m3 questions
- Converting Capacity Units · L→L, mL3 questions
- Converting Capacity Units · L, mL→L3 questions
Congruent Figures and Angles
Congruent Figures
Observation
- Finding Congruent Figures2 questions
Angles of a Triangle
Calculation
- Interior Angles2 questions
- Exterior Angles2 questions
Angles of a Quadrilateral
Calculation
- Interior Angles2 questions
- Exterior Angles2 questions
Angles of Polygons
Word Problems
- Sum of Interior Angles of a Polygon3 questions
- Angles of a Pentagon1 question
- Angles of a Hexagon1 question
Properties of Integers Divisors and Multiples
Divisors and Multiples Listing
Calculation (Divisors)
- Listing Divisors10 questions
Calculation (Multiples)
- Listing Multiples10 questions
Common Divisors and Greatest Common Divisor
Calculation (Listing Common Divisors)
- Listing Common Divisors10 questions
Calculation (Greatest Common Divisor)
- Greatest Common Divisor (Calculation)10 questions
Word Problems (Common Divisors)
- Listing Common Divisors (Word Problems)5 questions
Word Problems (Using the GCD)
- Using the Greatest Common Divisor5 questions
Common Multiples and Least Common Multiple
Calculation (Listing Common Multiples)
- Listing Common Multiples10 questions
Calculation (Least Common Multiple)
- Least Common Multiple (Calculation)10 questions
Word Problems (Using the LCM)
- Using the Least Common Multiple5 questions
Summary Prints
Calculation
- Divisors and Multiples (Listing) · Listing Divisors1 question
- Divisors and Multiples (Listing) · Listing Multiples1 question
- Common Divisors and Greatest Common Divisor · Listing Common Divisors2 questions
- Common Multiples and Least Common Multiple · Listing Common Multiples2 questions
- Common Divisors and Greatest Common Divisor · Greatest Common Divisor (Calculation)2 questions
- Common Multiples and Least Common Multiple · Least Common Multiple (Calculation)2 questions
Word Problems
- Common Divisors and Greatest Common Divisor · Listing Common Divisors (Word Problems)1 question
- Common Divisors and Greatest Common Divisor · Using the Greatest Common Divisor2 questions
- Common Multiples and Least Common Multiple · Using the Least Common Multiple2 questions
Properties of Fractions
Reducing, Common Denominators, Equal Fractions
Calculation (Equivalent Fractions)
- Equivalent Fractions (Fill in the Blank)8 questions
- Equivalent Fractions (Two Blanks)8 questions
Calculation (Reducing Fractions)
- Simplifying Fractions24 questions
Calculation (Common Denominators)
- Common Denominators (Two Fractions)6 questions
- Common Denominators (Three Fractions)4 questions
Calculation (Comparing Size)
- Comparing Size (Inequality Signs)24 questions
Division and Fractions
Calculation (Basics)
- Expressing a Quotient as a Fraction8 questions
- Fraction→Division (Reverse)8 questions
Calculation (Reducing and Mixed Numbers)
- Simplifying and Converting to Mixed Numbers12 questions
Word Problems
- Partitive Division (Word Problems)3 questions
- How Many Times as Many (Word Problems)3 questions
Fractions and Decimals
Calculation (Fractions and Decimals)
- Fraction→Decimal8 questions
- Decimal→Fraction8 questions
Calculation (Addition and Subtraction)
- Fraction + Decimal4 questions
- Fraction − Decimal4 questions
Word Problems
- Word Problems5 questions
Adding Fractions Unlike Denominators
Adding Proper Fractions Unlike Denominators
Calculation
- Calculation8 questions
Fill in the Blank
- Fill in the Blank16 questions
Word Problems
- Unlike Denominators5 questions
Adding Improper Fractions
Calculation
- Calculation8 questions
Fill in the Blank
- Fill in the Blank16 questions
Adding Mixed Numbers Unlike Denominators
Calculation
- No Carrying2 questions
- Mixed Number + Proper Fraction3 questions
- With Carrying3 questions
Fill in the Blank
- Fill in the Blank16 questions
Adding Fractions Word Problems and Applications
Word Problems (Multiples, Working Backward)
- Unlike Denominators (Working Backwards)2 questions
- Unlike Denominators (Multiple Relationship)3 questions
Word Problems (2-Step, Mixed Numbers)
- Unlike Denominators2 questions
- Unlike Denominators (Mixed Numbers)2 questions
- Unlike Denominators, Multiple Relationship (Sum Is a Mixed Number)1 question
Adding 3 Fractions
Calculation
- 3 Terms (Expressions)8 questions
Fill in the Blank
- Fill in the Blank16 questions
Word Problems
- 3 Terms (Word Problems)5 questions
Summary Prints
Calculation
- Adding Proper Fractions (Unlike Denominators) · Calculation2 questions
- Adding Improper Fractions · Calculation2 questions
- Adding Mixed Numbers (Unlike Denominators) · No Carrying1 question
- Adding Mixed Numbers (Unlike Denominators) · With Carrying1 question
- Adding 3 Fractions · 3 Terms (Expressions)2 questions
Word Problems
- Adding Fractions (Word Problems and Applications) · Unlike Denominators1 question
- Adding Fractions (Word Problems and Applications) · Unlike Denominators (Multiple Relationship)1 question
- Adding Fractions (Word Problems and Applications) · Unlike Denominators, Multiple Relationship (Sum Is a Mixed Number)1 question
- Adding Fractions (Word Problems and Applications) · Unlike Denominators (Working Backwards)1 question
- Adding 3 Fractions · 3 Terms (Word Problems)1 question
Fraction Subtraction and Mixed Operations
Subtracting Proper Fractions Unlike Denominators
Calculation
- Calculation12 questions
Fill in the Blank
- Fill in the Blank16 questions
Word Problems
- Word Problems5 questions
Subtracting Unlike Improper Fractions
Calculation
- Difference Is a Proper Fraction2 questions
- Calculation6 questions
Fill in the Blank
- Fill in the Blank16 questions
Word Problems
- Word Problems5 questions
Subtracting Mixed Numbers Unlike Denominators
Calculation (Mixed Number – Mixed Number)
- No Borrowing4 questions
- With Borrowing4 questions
Calculation (Mixed Number – Proper Fraction)
- Mixed Number − Proper Fraction4 questions
- Mixed Number − Proper Fraction (With Borrowing)4 questions
Fill in the Blank
- Fill in the Blank16 questions
Subtracting Fractions Word Problems and Applications
Word Problems (Finding the Difference)
- Unlike Denominators (Finding the Difference)1 question
- Comparing and Working Backwards2 questions
- Unlike Denominators (Mixed Numbers)2 questions
Word Problems (Multiple Relationships)
- Unlike Denominators3 questions
- Unlike Denominators (Multiple Relationship)2 questions
Subtracting 3 Fractions
Calculation
- 3 Terms, Successive Subtraction (Expressions)8 questions
Fill in the Blank
- Fill in the Blank16 questions
Word Problems
- 3 Terms (Word Problems, from a Proper Fraction)3 questions
- 3 Terms (Word Problems, from 1)2 questions
Mixed Addition and Subtraction
Calculation
- 3 Terms, No Parentheses4 questions
- 3 Terms, With Parentheses4 questions
Fill in the Blank
- Fill in the Blank16 questions
Word Problems
- 3 Terms (Word Problems, Proper Fractions)5 questions
Addition and Subtraction of Fractions and Decimals
Calculation
- Fraction + Decimal4 questions
- Fraction − Decimal4 questions
Word Problems
- Word Problems5 questions
Summary Prints
Calculation
- Subtracting Proper Fractions (Unlike Denominators) · Calculation2 questions
- Subtracting Unlike Improper Fractions · Calculation2 questions
- Subtracting Mixed Numbers (Unlike Denominators) · Mixed Number − Proper Fraction2 questions
- Subtracting 3 Fractions · 3 Terms, Successive Subtraction (Expressions)1 question
- Mixed Addition and Subtraction · 3 Terms, No Parentheses1 question
Word Problems
- Subtracting Proper Fractions (Unlike Denominators) · Word Problems1 question
- Subtracting Fractions (Word Problems and Applications) · Unlike Denominators1 question
- Subtracting Fractions (Word Problems and Applications) · Unlike Denominators (Mixed Numbers)1 question
- Subtracting 3 Fractions · 3 Terms (Word Problems, from a Proper Fraction)1 question
- Mixed Addition and Subtraction · 3 Terms (Word Problems, Proper Fractions)1 question
Average
Calculating the Average
Word Problems (Basic)
- Basics (With a Table)2 questions
- Basics3 questions
Word Problems (Working Backward, 2 Groups)
- Working Backwards (With a Table)1 question
- Working Backwards1 question
- Combining Two Groups2 questions
Amount per Unit Quantity
Amount per Unit Quantity
Word Problems (Comparison, Forward)
- Comparing2 questions
- Finding the Per-Unit Quantity1 question
- Unit Price from the Difference1 question
- Forward, One Step1 question
- Forward, Two Steps1 question
Word Problems (Working Backward, Density)
- Finding the Per-Unit Quantity2 questions
- Working Backwards, One Step1 question
- Working Backwards, Two Steps1 question
- Population Density2 questions
Speed
Speed, Distance, and Time
Word Problems (Finding the Speed)
- Comparing Speeds2 questions
- Finding the Speed2 questions
- Finding the Speed (Two Steps)2 questions
Word Problems (Finding the Distance)
- Finding the Distance3 questions
- Finding the Distance (Two Steps)3 questions
Word Problems (Finding the Time)
- Finding the Time3 questions
- Finding the Time (Two Steps)3 questions
Converting Units of Speed
Word Problems
- Converting Units3 questions
- Converting Units (Two Steps)3 questions
Summary Prints
Word Problems
- Speed, Distance, and Time · Finding the Speed1 question
- Speed, Distance, and Time · Finding the Speed (Two Steps)1 question
- Speed, Distance, and Time · Finding the Distance1 question
- Speed, Distance, and Time · Finding the Distance (Two Steps)1 question
- Speed, Distance, and Time · Finding the Time1 question
- Speed, Distance, and Time · Finding the Time (Two Steps)1 question
Area
Area of a Triangle
Finding the Area
- Calculation2 questions
- Height Outside the Triangle (Obtuse)2 questions
- Triangles with an Unused Length2 questions
Area of a Parallelogram
Finding the Area
- Calculation6 questions
Area of a Trapezoid
Finding the Area
- Calculation3 questions
- Right Trapezoid3 questions
Area of Rhombuses and Kites
Finding the Area
- Rhombus2 questions
- Rhombus (Half-Diagonals)2 questions
- Kite2 questions
Applications of Area
Calculation
- Triangles with Equal Areas (Selection)1 question
- Finding a Side from the Area (Triangle, Parallelogram)2 questions
- Finding a Side from the Area (Rectangle, Decimals)2 questions
Summary Prints
Finding the Area
- Area of a Triangle · Calculation1 question
- Area of a Triangle · Height Outside the Triangle (Obtuse)1 question
- Area of Rhombuses and Kites · Rhombus1 question
- Area of Rhombuses and Kites · Rhombus (Half-Diagonals)1 question
- Area of Rhombuses and Kites · Kite1 question
- Area of a Parallelogram · Calculation1 question
Percentage
Expressing a Percentage
Conversion (Percentage)
- Decimal→Percentage10 questions
- Percentage→Decimal10 questions
Finding the Percentage
Word Problems (Decimals, Basic)
- Decimals (Basics)3 questions
- Decimals (How Many Times as Many)3 questions
Word Problems (%, Application)
- % (Composition Ratio)2 questions
- Rate of Increase and Decrease (Decimals)2 questions
- Discount Rate (%, Two Steps)2 questions
Finding the Compared Quantity
Word Problems (Basic)
- Basics (Decimals and %)4 questions
- Ratio Greater Than 12 questions
Word Problems (Increase/Decrease, 2 Steps)
- Finding the Amount After an Increase2 questions
- Finding the Amount After a Decrease2 questions
- % (Two Successive Stages)2 questions
Finding the Base Quantity
Word Problems (Decimals, %)
- Decimals (Basics)2 questions
- % (Basics)2 questions
- Decimals (Applying Increase and Decrease)1 question
- % (Applications)1 question
Band Graphs and Pie Charts
Band Graphs
Reading (Multiple Questions)
- Reading1 question
Pie Charts
Reading (Multiple Questions)
- Reading1 question
Circles and Regular Polygons
Properties of Regular Polygons
Word Problems
- Properties of Regular Polygons8 questions
Circumference of a Circle
Calculation
- From the Diameter2 questions
- From the Radius2 questions
- Finding the Diameter2 questions
Word Problems
- From the Diameter (Word Problems)2 questions
- From the Radius (Word Problems)2 questions
- Finding the Diameter (Word Problems)2 questions
The Circumference of Various Circles
Calculation
- Semicircle (From the Diameter)1 question
- Semicircle (From the Radius)1 question
- Quarter Circle (2)1 question
- Quarter Circle1 question
- Three-Quarter Circle1 question
- Annulus (Donut)1 question
Perimeter of Composite Figures
Calculation (Rectangle and Semicircle)
- Rectangle − Semicircular Notch1 question
- Rectangle + Semicircle on One Side1 question
- Convex and Concave Mixed1 question
- Track Shape1 question
Calculation (S-Curves, Stars, and More)
- S-Shape and Comma Shape1 question
- Combining Large and Small Semicircles1 question
- Square + Quarter-Circle Arcs1 question
- Star Shape from Quarter Circles at the Four Corners1 question
Prisms and Cylinders
Prisms and Cylinders
Observation
- Identifying Prisms and Cylinders2 questions
- Properties of Prisms (Vertices, Edges, Faces)1 question
Various Word Problems
Expressions Using a Box
Word Problems (Addition and Subtraction)
- Addition and Subtraction4 questions
Word Problems (Multiplication, Division)
- Multiplication and Division4 questions
Multiple and Difference/Sum Word Problems
Word Problems (Multiples and Difference)
- Multiples and Difference (One Question)3 questions
- Multiples and Difference (Two Questions)2 questions
Word Problems (Multiples and Total)
- Multiples and Sum5 questions
Excess and Shortage Problems
Word Problems
- Basics3 questions
- Number of People + Total2 questions