# Sixth grade math

Here is a list of all of the math skills students learn in sixth grade! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Whole numbers

## Multiplication

- B.1Multiply whole numbers
- B.2Multiply whole numbers: word problems
- B.3Multiply whole numbers with four or more digits
- B.4Multiply numbers ending in zeroes
- B.5Multiply numbers ending in zeroes: word problems
- B.6Multiply three or more numbers
- B.7Multiply three or more numbers: word problems
- B.8Estimate products

## Division

## Exponents and square roots

- D.1Write multiplication expressions using exponents
- D.2Evaluate exponents
- D.3Find the missing exponent or base
- D.4Exponents with decimal bases
- D.5Exponents with fractional bases
- D.6Understanding negative exponents
- D.7Evaluate negative exponents
- D.8Advanced exponents
- D.9Half-life and population doubling
- D.10Square roots of perfect squares
- D.11Estimate square roots

## Number theory

## Decimals

## Add and subtract decimals

## Multiply and divide decimals

- H.1Estimate products of decimal numbers
- H.2Multiply decimals
- H.3Inequalities with decimal multiplication
- H.4Divide decimals by whole numbers
- H.5Divide decimals by whole numbers: word problems
- H.6Multiply and divide decimals by powers of ten
- H.7Division with decimal quotients
- H.8Inequalities with decimal division

## Fractions and mixed numbers

- I.1Fractions and mixed numbers review
- I.2Equivalent fractions review
- I.3Simplify fractions
- I.4Understanding fractions: word problems
- I.5Least common denominator
- I.6Compare fractions with like and unlike denominators
- I.7Compare fractions: word problems
- I.8Convert between improper fractions and mixed numbers
- I.9Convert between decimals and fractions or mixed numbers
- I.10Put a mix of decimals, fractions, and mixed numbers in order

## Add and subtract fractions

- J.1Add and subtract fractions with like denominators
- J.2Add and subtract fractions with like denominators: word problems
- J.3Add and subtract fractions with unlike denominators
- J.4Add and subtract fractions with unlike denominators: word problems
- J.5Inequalities with addition and subtraction of like and unlike fractions
- J.6Add and subtract mixed numbers
- J.7Add and subtract mixed numbers: word problems
- J.8Estimate sums and differences of mixed numbers
- J.9Maps with fractional distances

## Multiply fractions

- K.1Fractions of whole numbers I
- K.2Fractions of whole numbers II
- K.3Fractions of a number: word problems
- K.4Estimate products of fractions and whole numbers
- K.5Multiply two fractions using models
- K.6Multiply two fractions
- K.7Multiply fractions: word problems
- K.8Multiply three or more fractions and whole numbers
- K.9Estimate products of fractions, whole numbers, and mixed numbers
- K.10Multiply mixed numbers and whole numbers
- K.11Multiply mixed numbers
- K.12Multiply mixed numbers: word problems
- K.13Multiply three or more mixed numbers, fractions, and/or whole numbers

## Divide fractions

- L.1Divide whole numbers by unit fractions using models
- L.2Reciprocals
- L.3Divide whole numbers and unit fractions
- L.4Divide fractions by whole numbers in recipes
- L.5Divide fractions
- L.6Estimate quotients when dividing mixed numbers
- L.7Divide fractions and mixed numbers
- L.8Divide fractions and mixed numbers: word problems

## Integers

## Operations with integers

- N.1Add integers using counters
- N.2Add integers
- N.3Subtract integers using counters
- N.4Subtract integers
- N.5Add and subtract integers: find the sign
- N.6Add and subtract integers: input/output tables
- N.7Add three or more integers
- N.8Multiply integers: find the sign
- N.9Multiply integers
- N.10Divide integers: find the sign
- N.11Divide integers

## Mixed operations

- O.1Add, subtract, multiply, or divide two whole numbers
- O.2Add, subtract, multiply, or divide two whole numbers: word problems
- O.3Evaluate numerical expressions involving whole numbers
- O.4Add, subtract, multiply, or divide two decimals
- O.5Add, subtract, multiply, or divide two decimals: word problems
- O.6Perform multiple operations with decimals
- O.7Add, subtract, multiply, or divide two fractions
- O.8Add, subtract, multiply, or divide two fractions: word problems
- O.9Perform multiple operations with fractions
- O.10Add, subtract, multiply, or divide two integers
- O.11Perform multiple operations with integers

## Rational numbers

## Problem solving and estimation

## Ratios and rates

- R.1Write a ratio to describe objects in a picture
- R.2Write a ratio: word problems
- R.3Equivalent ratios
- R.4Ratio tables
- R.5Equivalent ratios: word problems
- R.6Unit rates and equivalent rates
- R.7Compare ratios: word problems
- R.8Unit rates: word problems
- R.9Do the ratios form a proportion?
- R.10Scale drawings: word problems

## Percents

- S.1Convert between percents, fractions, and decimals
- S.2Compare percents to each other and to fractions
- S.3Compare percents and fractions: word problems
- S.4Percents of numbers and money amounts
- S.5Percents of numbers: word problems
- S.6Percents of numbers - with fractional and decimal percents
- S.7Find what percent one number is of another
- S.8Find what percent one number is of another: word problems

## Units of measurement

- T.1Estimate customary measurements
- T.2Estimate metric measurements
- T.3Convert and compare customary units
- T.4Convert, compare, add, and subtract mixed customary units
- T.5Multiply and divide mixed customary units
- T.6Customary unit conversions involving fractions and mixed numbers
- T.7Convert and compare metric units
- T.8Convert between customary and metric systems
- T.9Compare temperatures above and below zero
- T.10Convert between Celsius and Fahrenheit

## Money

## Consumer math

## Coordinate plane

## Expressions and properties

- Y.1Write variable expressions
- Y.2Write variable expressions: word problems
- Y.3Evaluate variable expressions with whole numbers
- Y.4Evaluate multi-variable expressions
- Y.5Evaluate variable expressions with decimals, fractions, and mixed numbers
- Y.6Identify terms and coefficients
- Y.7Properties of addition
- Y.8Properties of multiplication
- Y.9Distributive property
- Y.10Solve for a variable using properties of multiplication
- Y.11Write equivalent expressions using properties
- Y.12Add and subtract like terms
- Y.13Identify equivalent expressions

## One-variable equations

- Z.1Does x satisfy an equation?
- Z.2Which x satisfies an equation?
- Z.3Write an equation from words
- Z.4Model and solve equations using algebra tiles
- Z.5Write and solve equations that represent diagrams
- Z.6Solve one-step equations with whole numbers
- Z.7Solve one-step equations with decimals, fractions, and mixed numbers
- Z.8Solve one-step equations: word problems
- Z.9Solve two-step equations
- Z.10Solve equations involving like terms
- Z.11Solve equations involving integers

## One-variable inequalities

## Two-variable equations

- BB.1Does (x, y) satisfy an equation?
- BB.2Identify independent and dependent variables
- BB.3Find a value using two-variable equations
- BB.4Solve word problems involving two-variable equations
- BB.5Complete a table for a two-variable relationship
- BB.6Write a two-variable equation
- BB.7Identify the graph of an equation
- BB.8Graph a two-variable equation
- BB.9Interpret a graph: word problems
- BB.10Write an equation from a graph using a table

## Two-dimensional figures

- CC.1Identify and classify polygons
- CC.2Measure and classify angles
- CC.3Estimate angle measurements
- CC.4Classify triangles
- CC.5Classify quadrilaterals
- CC.6Find missing angles in triangles and quadrilaterals
- CC.7Sums of angles in polygons
- CC.8Lines, line segments, and rays
- CC.9Name angles
- CC.10Complementary and supplementary angles
- CC.11Transversal of parallel lines
- CC.12Find lengths and measures of bisected lines and angles
- CC.13Parts of a circle
- CC.14Central angles of circles

## Symmetry and transformations

## Three-dimensional figures

## Geometric measurement

- FF.1Perimeter
- FF.2Area of rectangles and squares
- FF.3Area of triangles
- FF.4Area of parallelograms and trapezoids
- FF.5Area of quadrilaterals
- FF.6Area of compound figures
- FF.7Area between two rectangles
- FF.8Area between two triangles
- FF.9Rectangles: relationship between perimeter and area
- FF.10Compare area and perimeter of two figures
- FF.11Circles: calculate area, circumference, radius, and diameter
- FF.12Circles: word problems
- FF.13Area between two circles
- FF.14Volume of cubes and rectangular prisms
- FF.15Surface area of cubes and rectangular prisms
- FF.16Volume and surface area of triangular prisms
- FF.17Volume and surface area of cylinders
- FF.18Relate volume and surface area
- FF.19Semicircles: calculate area, perimeter, radius, and diameter
- FF.20Quarter circles: calculate area, perimeter, and radius
- FF.21Area of compound figures with triangles, semicircles, and quarter circles

## Data and graphs

- GG.1Interpret pictographs
- GG.2Create pictographs
- GG.3Interpret line plots
- GG.4Create line plots
- GG.5Create and interpret line plots with fractions
- GG.6Create frequency tables
- GG.7Interpret bar graphs
- GG.8Create bar graphs
- GG.9Interpret double bar graphs
- GG.10Create double bar graphs
- GG.11Interpret histograms
- GG.12Create histograms
- GG.13Circle graphs with fractions
- GG.14Interpret line graphs
- GG.15Create line graphs
- GG.16Interpret double line graphs
- GG.17Create double line graphs
- GG.18Stem-and-leaf plots
- GG.19Interpret box-and-whisker plots
- GG.20Choose the best type of graph

## Statistics

## Probability

- II.1Combinations
- II.2Probability of one event
- II.3Make predictions
- II.4Probability of opposite, mutually exclusive, and overlapping events
- II.5Compound events - find the number of outcomes by counting
- II.6Identify dependent and independent events
- II.7Probability of dependent and independent events
- II.8Factorials
- II.9Permutations