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Free Math Games offers 16 top level categories for 2nd grade. Taken together, these categories cover the majority of the US math curriculum for 2nd grade.

See the list of topics for 2nd grade or select a math category from the table below to see the available sub-categories and topics, or go directly to the 2nd grade games, lessons and tests.

The CCSS core curriculum for 2nd grade covers a range of categories, including:

**Number and place value**

Students develop a solid understanding of place value, including numbers up to 1,000. They also learn how to count forwards and backwards in steps of 4 and 8, and in steps of 10, 20, 30, 40, 50, and 100. They compare 3 digit numbers and distinguish odd and even.**Addition and subtraction**

Students learn how to add and subtract whole numbers with up to 3 digits. They study number bonding up to 1000. They also learn how to add and subtract numbers mentally including with 3 digit numbers.**Multiplication and division**

Students learn how to multiply and divide whole numbers by 10 and 100 in addition to multiples of 2, 3 and 5. They learn the area model method of multiplication and reverse times tables for division.**Fractions**

Students learn about unit fractions and equivalent fractions, and how to compare fractions by size. They learn how to add fractions with the same denominator. They learn to compare simple fractions and decimals.**Measurement**

Students explore various aspects of measurement, including length, mass and time. They add, subtract and compare measurements with related units. They understand 24 hour times and how to compare durations in different units.**Geometry & shapes**

Students learn to identify and describe 2D shapes such as squares, rectangles, triangles, and circles. They talk about numbers of corners and sides. They learn by comparing horizontal and vertical lines, and parallel and perpendicular lines.**Position & direction**

Students begin to explore shapes that turn and simple translations.**Statistics**

Students explore pictographs, bar charts and tables and use them to identify facts.

In addition to these specific categories, students will also develop their fluency with mathematical concepts and their ability to solve mathematical problems.

Below is the complete list of topics for 2nd grade arranged by category. Click on a topic to view more information.

Counting

In steps of 4 (0 to 50)

- Count up in steps of 4Count up in steps of 4 through 50 using whole numbers
- Count down in steps of 4 Count down from 48 in steps of 4 using numbers
- 4 step number lineCount up in steps of 4 to 50 using a number line

In steps of 8

- Count up in steps of 8Count up in steps of 8 to 80 using whole numbers
- Count down in steps of 8Count down in steps of 8 from 80 using whole numbers
- 8 step number lineCount up in steps of 8 through 50 using an 8 step number line

In steps of 20, 30 and 40

- Count in steps of 20Count up in steps of 20 from 0 to 200 using whole numbers
- Count in steps of 30Count up in steps of 30 from 0 through 200 using whole numbers
- Count in steps of 40Count up in steps of 40 from 0 through 200 using whole numbers

In steps of 50 and 100

- Count in steps of 100Count up in steps of 100 from 0 to 1000 using whole numbers
- 100 step number lineCount up in steps of 100 to 1000 using a number line
- Count in steps of 50Count up in steps of 50 to 500 using whole numbers
- 50 step number line to 500Count up in steps of 50 to 500 using a number line

Interpreting a number

- Analogue clockLook at the clock and choose the correct time
- Tell the time: 24-hour clockChoose the correct description for each of the 24-hour times shown
- Roman numerals to numbersConvert these Roman numerals into modern day numbers between 1 and 12
- Numbers to Roman numeralsConvert these modern day numbers between 1 and 12 into Roman numerals
- Convert minutes to hours & minutesConvert minutes into hours and minutes
- Convert hours and minutes to minutesConvert hours and minutes into just minutes

Temperature graph

- Which city is the warmest?Use these graphs of average temperatures to identify the warmest city
- Which city is the coldest?Use these graphs of average temperatures to identify the coldest city

Comparing numbers

3-digit numbers

- Largest 3-digit numberFrom a selection of four 3-digit numbers choose the largest number
- Smallest 3-digit numberChoose the smallest number from a selection of 4 three-digit numbers
- Middle numberChoose the number that is in between the smallest and largest of these 3-digit numbers
- Ascending orderChoose the correct order from smallest to largest for these sets of four 3-digit numbers
- Descending orderChoose the correct order from largest to smallest for these sets of four 3-digit numbers

Odds and evens 20 to 100

- Is the number odd or even?Choose whether these numbers from 20 to 100 are odd or even
- More odds or evensIn these groups are there more odd or even numbers?
- Count even numbersHow many of these numbers from 20 to 100 are even?
- Count odd numbersHow many of these numbers from 20 to 100 are odd?

Order decimal numbers

- Smallest to largestPut these decimals in ascending order from smallest to largest
- Largest to smallestPut these decimals in descending order from largest to smallest

Halfway between decimals

- Number in the middleSay which number lies halfway between these two 1 decimal place decimal numbers

Money

- Convert coins to notes and coinsConvert the given value of coins to the correct amount in notes and coins

Time

- The clock is 10 minutes fastIf the clock is fast by 10 minutes choose the correct time
- The clock is 15 minutes fastIf the clock is fast by 15 minutes choose the correct time
- The clock is 10 minutes slowIf the clock is slow by 10 minutes choose the correct time
- The clock is 15 minutes slowIf the clock is slow by 15 minutes choose the correct time

Pattern

Number patterns

- Add a number each timePick the next number when adding the same number each time
- Subtract a number each timePick the next term when subtracting the same number each time
- Fraction patternsPick the next correct number in the pattern
- Add or subtract numbersIdentify the 2 missing numbers in each of these patterns

Times table patterns

- Three times tableIdentify the missing number in these 3x table number patterns
- Four times tableIdentify the missing number in these 4x table number patterns
- Eight times tableIdentify the missing numbers in these 8x table patterns

Place value

20 more, 20 less

- 20 moreWork out the number that is 20 more than the given number between 0 and 100
- 20 lessWork out the number that is 20 less than the given number between 20 and 100

40 more, 40 less

- 40 morePick the number that is 40 more than the given number between 0 and 100
- 40 lessPick the number that is 40 less than the given number between 40 and 100

Read and write numbers

- From digits to number namesIdentify the correct names for these 3-digit numbers
- From number names to digitsIdentify each of these 3-digit numbers written as words

Identifying place values

- Units place value: 3-digit numbersIdentify the units place value for each of these 3-digit numbers
- Tens place value: 3-digit numbersIdentify the tens place value for these three-digit numbers
- Hundreds place valueIdentify the hundreds place value for each of these three-digit numbers

Units, tens or hundreds

- 3-digit numbers to 500Is the green digit in these 3-digit numbers to 500 a unit, a ten or a hundred?
- 3-digit numbers to 999Is the highlighted digit in these 3-digit numbers a unit, a ten or a hundred?

Rounding numbers

- Round to nearest 10Use place values to round numbers up to 500 to the nearest 10
- Round to nearest 100Use place values to round numbers up to 999 up or down to the nearest 100
- Round to nearest 1000Use place values to round numbers up to 5000 up or down to the nearest 1000

Solve number problems

- Place value: 10 times as muchIf person A gets some money and person B gets 10 times as much, how much does person B get?
- Place value: 100 times as muchIf a person gets some money and another person gets 100 times as much, how much does person 2 get?

Addition

Number bonding

- Number bonding to 20Identify the number that bonds to 20 with each of the given numbers
- Number bonds to 100: multiples of 10Identify pairs of multiples of 10 with a total of 100
- Number bonds to 100Identify pairs of numbers that sum to a total of 100
- Number bonding to 1000Identify pairs of multiples of 100 with a total of 1000
- Number bonding to 200Identify pairs of multiples of 25 with a total of 200

Mental calculations

- 3-digit number plus unitsUse mental calculations to add the given number of units to a three-digit number
- 3-digit number plus multiple of 10Use mental calculations to add the given number of tens to a three-digit number
- 3-digit number plus multiple of 100Use mental calculations to add the given multiple of 100 to a three-digit number

One-step problems

- Missing number: 3-digit additionsFind the missing number for these three-digit addition sums
- Missing answer: 3-digit numbersPick the missing answer for these three-digit addition sums

Matching additions

- Match additions: 1-digit plus 2-digitsChoose the two 1-digit plus 2-digits addition tiles that give the same answer
- Match additions: two 2-digit numbersChoose the two 2-digit plus 2-digit additions that give the same answer

Word problems

- Total number of itemsUse addition to find out how many items there are in total
- Total cost of 2 itemsUse addition to find out how much the 2 items cost in total
- Total cost of 3 itemsUse addition and / or multiplication to find out how much the 3 items cost in total

Subtraction

Subtracting numbers

- Subtract single-digit numbersSubtract a single-digit number from a single-digit number
- Subtract 1-digit from 2-digit numbersSubtract a single-digit numbers from double-digit numbers
- Subtract 2-digit from 2-digit numbersSubtract double-digit numbers from double-digit numbers

One-step problems

- Missing number problemsWork out the missing number for these double-digit minus single-digit subtractions
- Missing answer problemsCalculate the missing answer for these double-digit minus single-digit subtractions

Matching subtractions

- Match subtractions: 2-digits minus 1-digitChoose the two 2-digits minus 1-digit subtractions that give the same answer
- Match subtractions: 2-digit numbersChoose the pair of matching 2-digit minus 2-digit subtractions from a choice of 3

Word problems

- How many more?Use subtraction to find how many more items one person has than the other person
- How many are left?Use subtraction to find out the number of items that are remaining

Add + Subtract

Add 9, 19 ,29, 39

- Adding 9Add 9 by first adding 10 to a number and then subtracting 1 from the result
- Adding 19Add 19 by first adding 20 to a number and then subtracting 1 from the result
- Adding 29Add 29 by first adding 30 to a number and then subtracting 1 from the result
- Adding 39Add 39 by first adding 40 to a number and then subtracting 1 from the result

Add 11, 21, 31, 41

- Adding 11Add 11 by first adding 10 to a number and then adding 1 more
- Adding 21Add 21 by first adding 20 to a number and then adding 1 more
- Adding 31Add 31 by first adding 30 to a number and then adding 1 more
- Adding 41Add 41 by first adding 40 to a number and then adding 1 more

Subtract 9, 19 ,29, 39

- Subtracting 9Subtract 9 by subtracting 10 from a number then adding 1
- Subtracting 19Subtract 19 by subtracting 20 from a number then adding 1
- Subtracting 29Subtract 29 by subtracting 30 from a number then adding 1
- Subtracting 39Subtract 39 by subtracting 40 from a number then adding 1

Subtract 11, 21, 31, 41

- Subtracting 11Subtract 11 by subtracting 10 and then subtracting 1 more
- Subtracting 21Subtract 21 by subtracting 20 and then subtracting 1 more
- Subtracting 31Subtract 31 by subtracting 30 and then subtracting an extra 1
- Subtracting 41Subtract 41 by subtracting 40 and then subtracting 1 more

Number machine

- Add and subtractAdd and subtract to find the answer
- Missing additionFind the missing number for the addition
- Missing subtractionFind the missing subtraction in these add and subtract sums

Checking answers

- Checking subtractionsChoose the inverse operations that check these subtractions
- Checking additionsChoose the inverse operations that correctly check these additions

Multiplication

Number facts

- Doubling numbers to 100Calculate the number that is double the given number
- Repeat additionsWhich repeat addition gives the same answer as the multiplication?
- Matching answersChoose the multiplication and addition sums that give the same answer
- Multiply decimals by 10: move the pointConnect multiplying a decimal number by 10 and place value by moving the point 1 place to the right

Count in steps

- Count in steps of 4 or 5Use counting in steps to work out simple multiplications of 4 and 5
- Multiply by counting: steps of 4Use counting in steps to work out simple multiplications of 4
- Multiply by counting: steps of 8Use counting in steps to work out simple multiplications of 8
- Multiply by counting: steps of 50Use steps to work out simple multiplications of 50
- Multiply by counting: steps of 100Use counting in steps to work out simple multiplications of 100

Mental arithmetic

- Multiply 1-digit by 1-digit numbersUse mental arithmetic to multiply two single-digit numbers
- Multiply 1-digit by 2-digit numbersUse mental arithmetic to multiply a 2-digit number by a 1-digit number

Area model

- Area model: 2 by 1-digitUse the area model method to multiply 2-digit numbers by 1-digit numbers
- Area model: 3-digits by 1-digitUse the area model method to multiply a 3-digit number by a 1-digit number
- Area model: 2-digits by 2-digitsFind the missing number in these area model multiplications of 2-digit numbers by 2 digit-numbers

Number machine

- Add then multiplyWork out the answer when you add first and then multiply
- Subtract then multiplyWork out the answer when you subtract first and then multiply
- Multiply then addWork out the answer when you multiply first and then add
- Multiply then subtractWork out the answer when you multiply first and then subtract

Identifying multiples

- Multiples of 2Choose the greatest multiple of 2 from the list
- Multiples of 3Choose the smallest multiple of 3 from the list
- Multiples of 5Choose the smallest multiple of 5 from the list
- Multiples of 10Find the multiple of 10, smallest multiple of 10 or largest multiple of 10 from the lists

One-step problems

- Long Multiplication: 2-digits by 1-digitPick the missing number in these 2-digit by 1-digit long multiplications
- Long Multiplication: 3-digits by 1-digitWork out the missing number for these 3-digit by 1-digit long multiplication sums

Problem solving

- Possible choicesUse multiplication to work out how many different combination choices you have
- Scaling problemsCalculate the size an object or model given that a scale model of the object is 10x larger or smaller

Commutative properties

- Identify matching sumsApply the commutative law for multiplication to identify which sums are equal
- Identify the missing numberUse the commutative law for multiplication to identify the missing value

Division

Dividing numbers

- Divide by 3Do these divisions by 3 and choose the correct answer
- Divide by 4Do these divisions by 4 and choose the correct answer
- Divide by 8Do these divisions by 8 and choose the correct answer

Formal method

- Division using bus stop methodUse the bus stop method to identify the missing numbers in these divisions

Reverse times tables

- Reverse times table divisionChoose the missing numbers for these reverse times table divisions
- Match division to additionWhich divisions and additions give the same answers
- Match division to subtractionWhich divisions and subtractions give the same answer
- Match division to multiplicationWhich division and multiplication sums give the same answer?

Number machine

- Number machine: add then divideWork out the answer when you add first and then divide
- Number machine: subtract then divideWork out the answer when you subtract first and then divide
- Number machine: divide then addWork out the answer when you divide first and then add
- Number machine: divide then subtractWork out the answer when you divide first and then subtract

Multiply + Divide

Matching Pairs

- Matching multiplicationsChoose the pairs of multiplications that produce the same answer

Number machine

- Find the missing answerDo a multiplication and a division to find the answer
- Find the missing multipleWork back from the given answer to find the missing multiple in these number machine questions
- Find the missing divisorWork back from the given answer to find the missing divisor in these number machine questions

Checking answers

- Check multiplications: inverse operationsUse inverse operations and division to check multiplication sums
- Check divisions: inverse operationsUse inverse operations and multiplication to check the answers to divisions
- Are the answers the same?Which of these different multiplication and division operations give the same answer?

Doubles and halves

- Match doubles and halves to 24Find the number from 1 to 24 that is half of one number and double another number
- Match doubles and halves to 50Find numbers up to 50 that are half of one number and double another number

Fractions

Name fractions

- What fraction of the squares are red?Count up the red squares to calculate what fraction of the whole they make
- Naming fractionsSelect the correct name for these fractions
- Identify unit fractionsIdentify unit fractions: fractions where the top number is a one e.g. ½ and ⅓

Create fractions

- Fractions from division by 10What fractions are made when numbers are divided by 10?

Compare fractions

- Which fractions are equivalentDecide if the pairs of fractions are equivalent / the same size
- Which fraction is bigger?For each pair of fractions, choose which one would be the bigger share of a whole

Fractions of amounts

- 1/5 of an amountChoose the correct answer for one fifth of a whole number
- 1/10 of an amountChoose the correct answer for one tenth of a whole number

Number line

- Number line of fifthsFrom the one fifths number line choose the correct fraction values
- Number line of tenthsFrom the 1/10 number line choose the correct fraction value

Add fractions

- Add fractions: same denominatorAdd two fractions with the same denominator that is below 10
- Add fractions: denominator 10 to 20Add two fractions with the same denominator between 10 & 20

Fractions and division

- Identify fraction operatorsWhich divisions produce the same results as the given fraction operators?

Fractions and decimals

- Equivalent sizesIdentify the decimals and fractions that are the same size
- Decimal greater than fractionIdentify the decimal that is greater than the fraction
- Decimal less than fractionIdentify the decimal that is less than the fraction
- Order fractions from smallest to largestRe-arrange each set of fractions so that they are listed from smallest to largest

Measurements

Estimating

- Estimate the timeEstimate or guess the approximate time to complete the tasks
- Estimate the weightEstimate or guess the approximate weight of the objects

Add & subtract measures

- Add lengths in metersIdentify the correct answers when adding 2 lengths given in meters
- Add lengths in centimetersIdentify the correct answers for adding 2 lengths given in centimeters
- Add lengths in millimetersIdentify the correct answers for adding 2 lengths given in millimeters
- Subtract lengths in metersIdentify the correct answers for subtracting lengths given in meters
- Subtract lengths in centimetersIdentify the correct answers when subtracting lengths given in centimeters
- Subtract lengths in millimetersIdentify the correct answers when subtracting lengths given in millimeters
- Add mass: kilograms, gramsAdd the given pairs of weights given in either kilograms or grams

Compare: length

- Which is the longer item?Choose the item that is longer
- Use symbols to compare lengthChoose a symbol to say if the first length is longer, shorter or equal to the second length
- Scaling distance by 10If journey B is ten times longer than journey A, how long is journey B?

Compare: weight

- Who is heaviest?Look at the weights in kilograms of 3 school pupils and say who is heaviest
- Which item is lightest?Look at the metric weights of 3 items and say which is lightest
- Use symbols to compare weightChoose a symbol to say if the first mass is greater than, less than or equal to the second mass
- Scaling weight by 10If an object is ten times heavier than another object, what does it weigh?

Measuring objects

- Choose the unitsChoose the most likely units to use for taking the measurements described
- Perimeter of a rectangleUse the diagram to measure the perimeter of the rectangle

Telling the time

- Tell the time: analogue clockLook at the clock pictures and choose the correct words to describe the time
- Tell the time: Roman numeralsReading a clock with Roman numerals choose the correct description for the time
- Tell the time: digital clockChoose the correct description for each of the given digital clock times
- 24-hour clock timesChoose the correct description for each of these 24-hour clock times

Compare: time

- am or pmDecide whether these 24 hour clock times are am or pm
- Arrival times: first or lastFrom the given list of arrival times pick the person who arrives first or last
- Compare durations: seconds & minutesFrom the race times given in seconds or minutes identify who finished first or last
- Compare durations: minutes & hoursFrom the journey times given in hours or minutes identify who arrives first or last
- Which durations are the same?Compare three durations in minutes and hours and pick the two that are the same
- How many of these in thatIdentify how many smaller units make up larger unit of time e.g. the number of seconds in a minute is 60

Money

- Subtract coinsSubtract groups of coins of all denominations and say how much is left
- How much change from $5?Use subtraction to work out how much change you should get from $5

Mixed units

- Add meters to centimetersConvert meters into centimeters and then add the measures together
- Add kilograms and gramsConvert the given kilograms to grams and then add the weights together
- Add liters and millilitersAdd liters and milliliters by converting the liters to milliliters and then adding the volumes together

Shapes

Identifying shapes

- 2D shapes: name from diagramIdentify the names of the two-dimensional (2D) shapes from the pictures
- 2D shapes: diagram from nameIdentify the diagram for each of these names of 2-dimensional (2D) shapes
- 3D shapes: name from diagramIdentify the names of these three-dimensional (3D) shapes in various orientations
- 3D shapes: diagram from nameIdentify the correct diagram from the names of these 3-dimensional (3D) shapes

Properties of 2-D shapes

- How many cornersCount the number of corners on each of these named 2-dimensional shapes
- How many sidesCount the number of sides on each of these named 2-dimensional shapes
- Identify properties of 2-D shapesChoose the correct set of properties for the given 2-dimensional shapes

Angles

- Identify right anglesIdentify whether the given angles are right angles or are angles greater than or less than a right angle

Lines

- Horizontal and verticalIdentify the horizontal or vertical line from each selection of lines
- Parallel or perpendicularIdentify whether each pair of lines are parallel or perpendicular

Position + Direction

Shapes that turn

- Turn clockwisePick the shape after it has done a quarter, a half or a three-quarter turn clockwise
- Turn anticlockwisePick the shape after it has done a quarter, a half or a three-quarter turn anticlockwise

Translate a shape

- Left 2, up 2Which shape has moved two squares to the left and two squares up?
- Right and upWhich shape has moved the given number of squares right and up

Statistics

Pictographs

- Interpret pictographsUse the pictograph to count the number of children who did different activities
- Many to one correspondenceUse pictographs with a many to one correspondence to see which people like certain fruit
- How many moreCompare how many people like 2 different fruit using pictographs with many to one correspondences

Bar charts

- Interpret bar chartsUse the bar charts to count the number of items in different categories
- Bar charts: most or leastUse the bar charts to identify the most or least popular fruits
- Bar charts: how many moreFrom the bar charts say how many more items one category has than another

Tables

- Interpret tablesUse the data tables to answer questions about how many pupils get to school in different ways
- Most or least frequentFrom the frequency tables say which way of getting to school was most or least common
- Tables: how many moreFor each table work out how many more pupils got to school by one means rather than another

Algebra

Equations

- Algebra equations: AdditionSolve these one-step addition equations to find the value of b in each equation

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