Math Drills
Grade 6 Elementary School
Symmetric Figures
Symmetric Figures
Observation
- Identifying Line-Symmetric Figures
- Number of Lines of Symmetry
- Identifying Point-Symmetric Figures
Expressions Using Letters
Relational Expressions and Substitution
Word Problems (Weight and Distance)
Word Problems (Perimeter)
- Total Weight
- Distance and Time Line Diagram
- Perimeter of an Equilateral Triangle
- Perimeter of a Square
Expressing the Area of a Shape with a Letter
Word Problems (Square and Rectangle)
Word Problems (Triangle and Trapezoid)
Word Problems (Rhombus, Parallelogram)
- Square
- Rectangle
- Triangles
- Trapezoid
- Rhombus
- Parallelogram
Multiplication of Fractions
Fraction × Whole Number and Whole Number × Fraction
Calculation
Calculation (Mixed Numbers)
Fill in the Blank
Word Problems
- Fraction × Whole Number and Whole Number × Fraction
- Mixed Number×Whole Number, Whole Number×Mixed Number
- Fill in the Blank
- Word Problems
Fraction × Fraction
Calculation
Calculation (Mixed Numbers)
Fill in the Blank
- Simplifying Along the Way
- Including Mixed Numbers
- Fill in the Blank
Multiplication of Fractions Word Problems
Word Problems
- Area Length×Width
- Per-Unit Quantity Fraction×Fraction
- Compared Quantity, Ratio > 1
- Compared Quantity, Ratio < 1
- Compared Quantity, Ratio < 1 Two Steps
Multiplying 3 Fractions
Calculation
Word Problems (Consecutive Percentages)
Word Problems (Amount per Unit)
- 3 Terms Calculation
- 3 Terms, Successive Ratios
- 3 Terms, Applying Ratios in Stages Whole-Number Answer
- 3 Terms, Per-Unit Quantity Sum and Difference
Summary Prints
Calculation
Calculation (Mixed Numbers)
Fill in the Blank
Division of Fractions
Fraction ÷ Whole Number and Whole Number ÷ Fraction
Calculation
Calculation (Mixed Numbers)
Fill in the Blank
- Fraction÷Whole Number
- Whole Number÷Fraction
- Mixed Number÷Whole Number
- Fill in the Blank
Fraction ÷ Fraction
Calculation
Calculation (Decimals, 3 Terms)
Fill in the Blank
- Proper Fraction÷Proper Fraction
- Including Mixed Numbers
- Division Mixing Fractions and Decimals
- Dividing Three Fractions
- Fill in the Blank
Division of Fractions Word Problems
Word Problems (Fraction ÷ Integer, etc.)
Word Problems (Integer ÷ Fraction, etc.)
- Fraction÷Whole Number
- Whole Number÷Fraction
- The Base Amount
- Per-Unit Quantity
- Applications Working Backwards with Ratios
Summary Prints
Calculation
Calculation (Mixed Numbers and Decimals)
Fill in the Blank
Word Problems
Mixed Operations with Fractions and Decimals
Mixed Operations with Fractions
Calculation (Parentheses or Not)
Calculation (3 Terms, × and ÷)
- Without Parentheses
- With Parentheses
- Multiplying and Dividing Three Fractions
Mixed Operations with Fractions and Decimals
Calculation (Multiplication)
Calculation (Parentheses or Not)
- Multiplication
- Mixed Multiplication and Division Without Parentheses
- With Parentheses
Summary Prints
Calculation
Ratio and Its Uses
Ratio Values and Simplifying Ratios
Calculation
Calculation (Decimal-Fraction Ratios)
Word Problems
- Ratio Value Calculation
- Simplifying Ratios Calculation
- Converting Decimal and Fraction Ratios to Whole-Number Ratios Calculation
- Ratio Value Word Problems
- Finding and Simplifying Ratios Word Problems
- Converting Decimal and Fraction Ratios to Whole-Number Ratios Word Problems
Equal Ratios and Their Uses
Calculation (Dividing in a Ratio)
Fill in the Blank
Word Problems
- Sharing Using a Ratio Calculation
- Equal Ratios Fill in the Blank
- Using Equal Ratios Word Problems
- Sharing Using a Ratio Word Problems
Summary Prints
Calculation
Word Problems
Enlargement and Reduction
Enlargement and Reduction
Calculation
- Properties of Enlargements and Reductions
Scale
Word Problems
- Finding the Scale
- Actual Length from a Scale Drawing
- Converting Actual Length to the Scale Drawing
Investigating Data
Representative Values
Word Problems (Average)
Word Problems (Comparing Central Values)
- Mean of the Data
- Various Representative Values
- Comparing Representative Values of Two Groups
Frequency Distribution Tables and Histograms
Word Problems (Analysis)
Word Problems (Frequency Table)
Reading
- Analyzing Frequency Tables and Representative Values
- Frequency Distribution Table
- Histogram
Area of a Circle
Area of a Circle Basics
Finding the Area
Word Problems
- From the Radius Calculation
- From the Diameter Calculation
- From the Radius Word Problems
- From the Diameter Word Problems
Area of Semicircles and Sectors
Finding the Area
Finding the Area (Various Angles)
Word Problems
- Semicircle Calculation
- Quarter Circle Calculation
- Sector Calculation
- Semicircle Word Problems
- Quarter Circle Word Problems
- Sector Word Problems
Composite Figures Addition and Subtraction
Finding the Area (Rectangle − Semicircle and More)
Finding the Area (Donut Shape and More)
- Roof Shape
- Stadium Shape
- Rectangle − Semicircle
- Rectangle − Quarter Circle
- Square − Quarter Circle
- Donut Shape
- Large Semicircle − Small Semicircles
- Rectangle − Diagonal Quarter Circles 2 Corners
Composite Figures Overlap and Difference
Finding the Area (Leaf and Clover Shapes)
Finding the Area (Crescent and Inscribed Shapes)
Finding the Area (Petal and Teardrop Shapes)
- Leaf and Lens Shapes
- Two-Wing Shape
- Four-Leaf Space
- Clover Shape
- Crescent Shape
- Large Circle − Inscribed Small Circle
- Circle − Inscribed Square and Rhombus
- Square − Inscribed Circle
- Quarter Circle + Semicircle Outside the Overlap
- Four-Petal Shape
- Lune of Hippocrates
- Comma Shape
Volume of Prisms and Cylinders
Volume of Prisms and Cylinders
Finding the Volume (Prism ①)
Finding the Volume (Prism ②)
Finding the Volume (Cylinder)
Word Problems
- Rectangular Prism and Cube
- Triangular Prism
- Parallelogram Prism
- Trapezoidal Prism
- Rhombic Prism
- Pentagonal Prism
- Hexagonal Prism
- Prism with an Irregular Base
- Cylinder Upright
- Cylinder Lying Down
- Half Cylinder Upright
- Half Cylinder Lying Down
- Word Problems
Volume of Composite Solids
Finding the Volume (Prism − Cylinder and More)
Finding the Volume (2-Tier Cylinders and More)
Word Problems
- Rectangular Prism − Cylinder
- Prism on Top of a Cylinder
- Concentric Pipe
- Cylinder with a C-Shaped Slit
- Two Stacked Cylinders
- Half Cylinder + Rectangular Prism
- Prism with Rounded Corners
- Quarter Cylinder
- Word Problems
Surface Area of Solids
Surface Area of Prisms and Cylinders
Finding the Surface Area (Prism)
Finding the Surface Area (Prisms and Cylinders)
- Rectangular Prism and Cube
- Triangular Prism
- Trapezoidal Prism
- Pentagonal Prism
- Cylinder
- Prism with an Irregular Base
- Half Cylinder
Surface Area of Composite Solids
Finding the Surface Area (Prism − Cylinder and More)
Finding the Surface Area (2-Tier Cylinders and More)
- Rectangular Prism − Cylinder
- Prism on Top of a Cylinder
- Concentric Pipe
- Cylinder with a C-Shaped Slit
- Two Stacked Cylinders
- Half Cylinder + Rectangular Prism
- Prism with Rounded Corners
- Quarter Cylinder
Summary Prints
Finding the Surface Area
Proportion and Inverse Proportion
Proportion
Word Problems
Word Problems (Application)
- Deriving the Table and Expression
- Applications
Inverse Proportion
Word Problems
Word Problems (Application)
- Deriving the Table and Expression
- Applications Two Steps
Number of Cases
Number of Cases
Word Problems (Combinations)
Word Problems (Arrangements)
- Combinations Ways to Choose
- Combinations With Repetition
- Permutations Ways to Arrange
- Counting Routes
- Multiplication Principle
The Structure of Measurement Units
Units of Volume
Conversion
Word Problems
- cm³⇔L, dL, kL
- m³⇔cm³, kL, L, dL
- kL⇔L
- Volume Word Problems
Units of Weight
Conversion
Word Problems
- g⇔mg
- mg, g, kg, t Compound
- Weight Word Problems
Units of Time
Conversion (Fraction → Minutes, Seconds)
Conversion (Minutes, Seconds → Fraction)
Word Problems
- Fractional Hours→Minutes
- Hours and Minutes→Mixed-Number Hours
- Fractional Minutes→Seconds
- Minutes and Seconds→Mixed-Number Minutes
- Fractional Hours→Minutes Word Problems
- Minutes→Fractional Hours Word Problems
Word Problems with Various Quantities
Word Problems
- Word Problems with Various Quantities
Traveler Problems
Traveler Problems
Word Problems (Meeting)
Word Problems (Catching Up)
Word Problems (Walking and Running)
- Meeting With a Hint
- Meeting
- Meeting Where They Meet
- Meeting Finding the Speed
- Catching Up With a Hint
- Catching Up
- Catching Up Time Difference
- Catching Up Around a Pond
- Ratio of Walking and Running With a Hint
- Ratio of Walking and Running
- Average Speed of Walking and Running
- Distance Walked and Run
Various Word Problems
Patterns and Regularity
Word Problems
- The Color at a Given Position
- Counting the Colors
- Repeating Numbers
- Days of the Week
- Arithmetic Sequences
How Savings Grow
Word Problems
- Savings Basics
- Starting Savings
- Catching Up
- Spending Over Time
- The Gap Widens
Work-Rate Problems
Word Problems
- Two People Working Together
- The Remaining Work
- Three People Working Together
- Water Tank
- Total Person-Days
Crane and Turtle Problems
Word Problems
- Shopping Problems
- Cranes and Turtles
- Adults and Children
- Correct and Incorrect Answers
- Speed Version
Elimination Problems
Word Problems
- Subtracting Directly to Eliminate
- Multiplying Then Eliminating
- Using the Difference
- Buying in Sets
- Three Items
Age Problems
Word Problems
- Years Later
- Years Before
- Sum of Ages
- Older and Younger Brother
- Current Age
Summary Prints
Word Problems (Work Rate, etc.)
Word Problems (Age Problems, etc.)
