Home / 3rd grade

Free Math Games offers 16 top level categories for 3rd grade. Taken together, these categories cover the majority of the US math curriculum for 3rd grade.

See the list of topics for 3rd grade or select a math category from the table below to see the available sub-categories and topics, or go directly to the 3rd grade games, lessons and tests.

The CCSS core curriculum for 3rd grade covers a range of categories, including:

**Number and place value**

Students learn about place value up to 10,000, and how to use this knowledge to solve problems. They learn to compare, order, and round numbers. They explore number patterns and sequences. They also learn how to count forwards and backwards in steps of powers of 10.**Addition and subtraction**

Students learn how to add and subtract whole numbers with up to 3 digits, including using formal written methods (columnar addition and subtraction). They will also learn how to add and subtract numbers mentally with increasingly large numbers.**Multiplication and division**

Students learn how to multiply and divide whole numbers by 10 and 100 (keeping to whole number quotients). They also learn how to solve problems involving missing factors and multiples.**Fractions**

Students learn how to compare and order fractions, and how to express fractions in the same denomination. They also learn how to simplify fractions and add, subtract and multiply fractions.**Measurement**

Students explore various aspects of measurement, including length, mass, volume, and time. They convert between different units of measurement and approximate equivalence between metric and imperial units.**Geometry & shapes**

Students study properties of shapes and angles. They learn to identify, classify, and describe 2D shapes such as squares, rectangles, triangles, and circles. They also learn how to calculate the area and perimeter of 2D shapes. They begin to understand basic properties of triangles and quadrilaterals.**Position & direction**

Students begin to explore simple reflections and translations.**Statistics**

Students explore different tables and line graphs and use them to identify facts.**Algebra**

Students learn about basic algebraic concepts, such as variables and equations. They learn how to solve simple algebraic problems.

Below is the complete list of topics for 3rd grade arranged by category. Click on a topic to view more information.

Counting

In steps of 6

- Count up in steps of 6Count up in steps of 6 through 50 using whole numbers
- Count down in steps of 6Count down in steps of 6 from 60 using whole numbers
- 6 step number lineIdentify the missing steps on these 6 step number lines through 60

In steps of 7

- Count up in steps of 7Count up in steps of 7 through 50 using whole numbers
- Count down in steps of 7Count down in steps of 7 from 60 using whole numbers
- 7 step number lineIdentify the missing steps on these 7 step number lines to 70

In steps of 9

- Count in steps of 9Count up in steps of 9 to 90 using whole numbers
- Count down in steps of 9Count down in steps of 9 from 90 using whole numbers
- 9 step number lineIdentify the missing steps on these 9 step number lines to 90

In steps of 25

- Steps of 25: to 1000Count in steps of 25 from 0 to 1000 using whole numbers
- Steps of 25: 1000 to 2000Count in steps of 25 from 1000 to 2000 using whole numbers

In steps of 1000

- Count up in steps of 1000 to 20,000Count in steps of 1000 to 20,000 using whole numbers
- Count down in steps of 1000 from 20,000Count down in steps of 1000 from 20,000

Backward in 10s

- Count down in steps of 10 to -100Count down in steps of 10 from 0 to -100 using whole numbers

Interpreting a number

- Telling the time: analogue clockLook at these analogue clock faces and choose the correct time
- Telling the time: 24-hour clockChoose the correct description for each 24-hour clock time
- Roman numerals to numbersConvert these Roman numerals into modern day numbers between 12 and 50
- Numbers to Roman numeralsConvert these modern day numbers between 12 and 50 into Roman numerals

Temperature graph

- Is city X warmest or coldest?Use the temperature graphs to determine whether the selected city is the warmest or the coldest
- Difference in temperatureWork out the difference in average March temperatures between pairs of European cities

Comparing numbers

4-digit numbers

- Largest 4-digit numberChoose the largest from a set of four 4-digit numbers
- Smallest 4-digit numberChoose the smallest from a selection of four 4-digit numbers
- Middle numberChoose the four-digit number in between the smallest and largest of these four-digit numbers
- 4-digit numbers: ascendingChoose the correct order for sets of 4-digit numbers from smallest to largest (ascending order)
- 4-digit numbers: descendingChoose the correct order of 4-digit numbers from largest to smallest (descending order)

Order decimal numbers

- Decimal numbers: ascendingChoose the correct ascending order for these lists of 4 decimal numbers
- Decimal numbers: descendingChoose the correct descending order for these lists of 4 decimal numbers

Position of decimals

- Number in middle: 1 dp decimalsWhich number lies halfway between these two 1 decimal place decimals
- Number in middle: 2 dp decimalsWhich number lies halfway between these two 2 decimal place decimals?
- Decimal: nearest integerDecide which integer each of these decimal numbers is nearest to

Money

- Smallest amountChoose the smallest of 3 amounts of money
- Largest amountChoose the largest of 3 amounts of money
- Money: order ascendingChoose the correct order of money from smallest to largest
- Convert notes and coins to coinsChoose the amount in coins that is equivalent to the given amount in notes and coins

Time

- 7 minutes fastIf the clock is fast by 7 minutes, what is the correct time?
- 12 minutes slowIf the clock is slow by exactly 12 minutes calculate the correct time

Pattern

Number patterns

- Add a number each timeFind the missing number in patterns that add the same number each time
- Subtract a number each timePick the next term when subtracting the same number each time
- Doubling each timePick the next number in these number doubling patterns
- Halving each timePick the next number in these halving patterns
- Fraction patternsChoose the next number in each list of fractions
- Square numbersPick the next number in these patterns of square numbers

Times table patterns

- Seven times tableIdentify the missing numbers in these sections of the 7 times table
- Nine times tableIdentify the missing numbers in these sections of the 9 times table
- Eleven times tableIdentify the missing numbers in these sections of the 11 times table
- Twelve times tableIdentify the missing numbers in these sections of the 12 times table

Place value

Identify the place value

- 4-digit number: unitsIdentify the unit digit of these four-digit numbers
- 4-digit number: tensIdentify the tens digit of these four-digit numbers
- 4-digit number: hundredsIdentify the hundreds digit of these four-digit numbers
- 4-digit number: thousandsIdentify the thousands digit of these four-digit numbers
- Place value names: 4-digitsSay whether the green digit in each 4-digit number is a unit, a ten, a hundred or a thousand

Rounding numbers

- Round to nearest 10Use place values to round numbers up to 1000 to the nearest 10
- Round to nearest 100Use place values to round numbers to 1000 to nearest 100
- Round to nearest 1000Use place values to round numbers to 10,000 to nearest 1000
- Round to nearest 10,000Use place values to round numbers 10k-100k to nearest 10,000

Change the place value

- Change place value: multiplyWhat do you need to multiply by to make the green digit a hundred? Is it 10 or 100?
- Change place value: divideWhat doyou need to divide by to change the green digit to have a tens place value? Is it 1, 10, 100 or 1000?

Practical problems

- Work out the costWork out the cost of X packets of goods using place value
- Work out the areaWork out the area of places and things using place value

Addition

Number bonding

- Number bonding to 1000Identify pairs of multiples of 50 with a combined total of 1000
- Number bonding to 200Identify pairs of multiples of 20 with a total of 200
- Number bonding to 0Identify the pairs of numbers that bond to 0
- 4-digit numbers + tensAdd multiples of 10 to 4-digit numbers
- 4-digit numbers plus hundredsAdd multiples of one hundred to four-digit numbers

Strings of numbers

- Bond strings of 3 double-digit numbersUse mental calculations to bond three double-digit numbers
- Bond strings of 4 double-digit numbersUse mental calculations to bond four double-digit numbers
- Bond strings of 5 double digit numbersUse mental calculations to bond five double-digit numbers

Round + adjust to add

- Rounding up to addIdentify the correct adjustment to make after rounding up to add
- Rounding down to addIdentify the correct adjustment to make after rounding down
- Rounding up and downUse rounding up and down to the nearest 5 or 10 to simplify these additions

Matching additions

- Match additions: single & double-digitChoose the two additions of a 1-digit and a 2-digit number that give the same answer
- Match additions: 2-digit numbersChoose the matching additions from sets of 2-digit plus 2-digit sums

Word problems

- Total number of itemsUse addition to find out how many items each person has in total
- Total cost: 2 itemsUse addition to find out the total cost of the 2 items
- Total cost: 3 itemsUse addition to find out how much the 3 items cost in total

Formal written method

- Formal addition: 2-digit numbersChoose the correct missing number for these formal 2-digit plus 2-digit columnar additions
- Formal addition: 2-digits plus 3-digitsFind the missing number for these formal 2-digit plus 3-digit columnar additions
- Formal addition: 3-digit numbersFind the missing number for these formal 3-digit plus 3-digit columnar additions
- Formal addition: 4-digit numbersChoose the missing number for these formal 4-digit plus 4-digit columnar additions

Subtraction

Subtract by round & adjust

- Rounding up to subtractIdentify the correct adjustment to make after rounding up to subtract
- Rounding down to subtractPick the adjustment required after rounding down to subtract
- Rounding up both numbersPick the correct subtraction after rounding up and adjusting

Matching subtractions

- Match subtractions: 2-digits minus 1-digitChoose the pair of subtractions that give the same answer from sets of 2-digit minus 1-digit sums
- Match subtractions: 2-digit numbersChoose the two subtractions that give the same answer for these 2-digit minus 2-digit sums

Formal written method

- Subtract 2-digit numbersChoose the correct missing number for these columnar 2-digit minus 2-digit subtractions
- Formal subtraction: 3-digits minus 2-digitsCalculate the answer for these 3-digit minus 2-digit formal written subtractions
- Subtract 3-digit numbersChoose the correct missing number for these formal 3-digit number subtractions

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 49, 59, 69

- Adding 49Add 49 to a number by first adding 50 and then subtracting 1 from the result
- Adding 59Add 59 to a number by first adding 60 and then subtracting 1
- Adding 69Add 69 to a number by first adding 70 and then subtracting 1

Add 51, 61, 71

- Adding 51Add 51 to a number by first adding 50 and then adding 1 more
- Adding 61Add 61 to a number by first adding 60 and then adding 1 more
- Adding 71Add 71 to a number by first adding 70 and then adding 1 more

Subtract 49, 59, 69

- Subtracting 49Subtract 49 from a number by subtracting 50 and then adding 1 back
- Subtracting 59Subtract 59 from a number by subtracting 60 and then adding 1
- Subtracting 69Subtract 69 from a number by subtracting 70 and then adding 1

Subtract 51, 61, 71

- Subtracting 51Subtract 51 from a number by subtracting 50 and then subtracting 1 more
- Subtracting 61Subtract 61 from a number by subtracting 60 and then subtracting 1 more
- Subtracting 71Subtract 71 by subtracting 70 and then subtracting 1 more

Number machine

- Add and subtractAdd to a number and then subtract to find the answer
- Missing additionFind the missing addition in these add and subtract sums
- Missing subtractionFind the missing subtraction value in these 2 step add and subtract sums

Checking answers

- Checking subtractionsChoose the correct inverse operation to check the given subtraction
- Checking additionsChoose the inverse operations that correctly check the given additions

Multiplication

Number facts

- Halving, doubling to 60Choose the halving and doubling pairs that equal each other
- Repeat additionsWhich repeat addition gives the same answer as the multiplication?

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 6 to 72Identify the multiple or multiples of 6 in each of the lists of numbers up to 72
- Greatest multiple of 6Choose the greatest multiple of 6 from these lists of numbers up to 90
- Smallest multiple of 8Find the smallest multiple of 8 from these lists of numbers
- Greatest multiple of 12Choose the greatest multiple of 12 from these lists of numbers

Using place value

- Multiply by 0 and/or 1Identify the correct answer to multiplications involving 0 and / or 1
- Multiply by 10, 100Identify the correct answers to multiplications involving 10 or 100

Mental arithmetic

- Multiply 2 single-digit numbersUse mental arithmetic to multiply two single-digit numbers
- Multiply 3 numbers up to 6Use mental arithmetic to multiply three single-digit numbers from 1 to 6

One-step problems

- Long Multiplication: 2x1Calculate the missing number for these two-digit by one-digit long multiplications
- Long Multiplication: 3x1Calculate the correct answer for these three-digit by one-digit long multiplications

Distributive laws

- Distributive methodTurn a x b into a x ( c + d ) e.g. 4 x 8 = 4 ( 6 + 2 )

Two-step problems

- Two categoriesIf there are x cakes and y drinks how many different combinations of cakes and drinks are there?
- Three categoriesGiven 3 categories of items how many different combinations of items are there?

Division

Dividing numbers

- Divide by 6Do these divisions by 6 and choose the correct answer
- Divide by 7Do these divisions by 7 and choose the correct answer
- Divide by 9Divide by 9 and choose the correct answer

One-step problems

- Long Division using 3Choose the correct missing value for these long divisions by 3
- Long division using 4Choose the correct missing value for these long divisions by 4
- Long Division using 5Choose the correct missing value for these long divisions by 5

Reverse times tables

- Reverse times table divisionFind the answer for these reverse times table divisions
- Match division to additionWhich divisions and additions give the same answer?
- Match division to subtractionWhich divisions and subtractions give the same answer?
- Match division to multiplicationWhich divisions and multiplications give the same answer

Number machine

- Add then divideWork out the answer when you add first and then divide
- Subtract then divideWork out the answer when you subtract first and then divide
- Divide then addWork out the answer when you divide first and then add
- Divide then subtractWork out the answer when you divide and then subtract

Multiply + Divide

Matching Pairs

- Matching divisionsChoose the pairs of division sums that give the same answer
- Matching multiplicationsChoose the pairs of multiplications that give the same answer
- Match multiplication to divisionChoose the multiplication and division operations that produce the same answer

Number machine

- Multiply then divide: missing answerDo a multiplication and a division to find the answer
- Multiply then divide: missing multipleWork back from the given answer to find the missing multiple in these number machine questions
- Multiply then divide: 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 divisions to check multiplication answers
- Check divisions: inverse operationsUse inverse operations and multiplication to check division answers
- Are the answers the sameChoose the pairs of operations that give the same answer

Derived facts

- Derive facts: divisonUse the given statements to derive facts about divisions (e.g. 2 x 3 = 6 so 6 ÷ 3 = 2)

Best Price

- Dividing by 4Use division by 4 to work out the best value for money item
- Dividing by 5Use division by 5 to work out the best value for money item
- Best price: divide by 6Use division by 6 to work out the best value for money item

Fractions

Name fractions

- What (simplified) fraction is shadedCount up the parts shaded red to calculate the fraction and reduce the answer to it's simplest form
- Identify unit fractionsIdentify unit fractions and fractions that simplify to unit fractions

Compare fractions

- Identify equivalent fractionsChoose which two fractions are equivalent
- Which fraction is biggestChoose the largest fraction from the selection
- Which fraction is smallestChoose the smallest fraction from the selection

Fractions of money

- ⅙ of an amountChoose the correct answer for 1/6th of a monetary amounts
- ⅐ of an amountChoose the correct answer for 1/7th of a monetary amounts
- ⅛ of an amountChoose the correct answer for 1/8th of a monetary amount

Fractions of measures

- Fractions of a measureCalculate what the given fraction (¼, ½, ¾) of each decimal amount will be e.g. ¼ of 400 ml

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

Fractions to percent

- Fraction to percentWhat is the percentage equivalent of these fractions?

Add fractions

- Add fractions: same denominator below 10Add fractions with the same denominator below 10
- Add fractions: denominators 10 to 20Add fractions with the same denominator between 10 & 20
- Add fractions: denominators of 100Add pairs of fractions with the same denominator of 100
- Add fractions: different denominatorsAdd fractions by changing the smaller denominator into the larger denominator

Subtract fractions

- Subtract fractions: denominators below 10Subtract fractions with the same denominators below 10
- Subtract fractions: denominators 10 to 20Subtract pairs of fractions with the same denominators between 10 & 20
- Subtract fractions: denominators of 100Subtract pairs of fractions with the same denominator of 100

Decimals

- Compare decimals: biggestIdentify the largest of these 1 or 2 decimal place decimals
- Compare decimals: smallestIdentify the smallest of these 1 and 2 decimal place decimals
- Round decimals to the nearest whole numberRound these decimal numbers to the nearest whole number

Fractions and decimals

- Equivalent sizesIdentify the decimals and fractions that are the equivalent size
- Order fractions ascendingArrange these lists of fractions in ascending order (from smallest to largest)
- Order fractions & decimalsArrange the fractions and decimals in ascending order

Measurements

Estimate

- Estimate timeEstimate or guess the approximate time to complete the tasks
- Estimate heights of thingsEstimate or guess the approximate heights of each of the given objects
- Estimate weightsEstimate or guess the approximate weight of each of the given objects
- Estimate the volumeEstimate or guess the approximate volume of the containers in liters or milliliters
- Estimate areasEstimate or guess the approximate area of each shape or space
- Estimate costs of common itemsEstimate or guess the approximate monetary value of the items

Calculate

- Add centimeters to metersAdd lengths by converting meters into centimeters and then adding the measurements together
- Add kilograms and gramsAdd the masses by converting the given kilograms to grams and then adding the weights together
- Subtract grams from kilogramsSubtract masses by converting the given kilograms to grams and then subtracting the weights
- Add liters and millilitersAdd liters and milliliters by converting the liters to milliliters and then adding the volumes together
- Subtract milliliters from litersSubtract milliliters from liters by converting the liters to milliliters and then subtracting
- Subtract metric lengthsIdentify the correct answers for calculations involving subtracting metric lengths
- Calculate perimeters of squaresCalculate the perimeters of squares by adding the lengths of their sides
- Calculate perimeters of rectanglesCalculate the perimeters of rectangles by adding the lengths of their sides
- Calculate area: multiply measurementsCalculate the areas of rectangles by multiplying the given measurements of width and height

Compare: length

- Compare metric lengths: longer itemCompare metric to metric measures of length and decide which of the 2 items is longer
- Compare metric units: longestFor each selection of item lengths given in metric units, choose the item that is the longest
- Compare metric units: shortestFor each selection of item lengths given in metric units, choose the item that is the shortest
- Use symbols to compare lengthsChoose a symbol to say if the first length is longer, shorter or equal to the second length

Compare: weight

- Who is heaviest?Look at the weights in kilograms of 4 pupils and say who is heaviest
- Which is lightest?Look at the digital weights of 4 items and say which is lightest
- Use symbols to compare weightSelect equality symbols to correctly compare masses in kilograms and grams
- Compare different unitsCompare weights in different metric units and choose the heaviest item

Compare: cost

- Cheapest optionUse addition or multiplication to work out which of the 2 options costs the least
- Most expensive optionUse addition or multiplication to work out which of the 2 options is more expensive

Capacity

- Convert liters to millilitersConvert fractions of liters into milliliters by multiplying the liters by 1000
- Convert milliliters to litersConvert hundreds and thousands of milliliters to liters by dividing by 1000

Telling the time

- Analogue clockUsing the clock choose the correct description for the time
- Digital clockChoose the correct description for each of the given digital clock times
- 24-hour to standard timeChoose the correct 12-hour clock descriptions for these 24-hour clock times
- 12-hour to 24-hour clock timesConvert standard 12-hour clock times to 24-hour clock times

Convert units

- Minutes to hours and minutesConvert times given in minutes into the equivalent time in hours and minutes
- Hours and minutes to minutesConvert hours and minutes into the equivalent number of minutes only
- Convert minutes to secondsConvert durations given in minutes to durations in seconds by multiplying by 60
- Convert years to monthsConvert years into the correct number of months and vice versa
- Convert weeks to daysConvert weeks into the correct number of days and vice versa
- Convert kilometers to metersConvert kilometers into the correct number of meters
- Convert meters to kilometers Convert meters into the correct number of kilometers

Shapes

Identifying shapes

- 2D shapes: name from diagramIdentify the names of these two-dimensional (2D) shapes from the images
- 2D shapes: diagram from nameIdentify the correct 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
- Identify types of triangleIdentify the names of types of triangles: equilateral, isosceles, scalene and right angle
- Identify names of quadrilateralsIdentify the names of these quadrilateral shapes from the pictures shown

Angles

- Angles: acute or obtuseIdentify whether the given angles are acute angles, right angles or obtuse angles
- Order angles by sizeOrder the angles in each list from smallest to largest

Properties of 2-D shapes

- How many sidesIdentify the number of sides that each of these named 2-dimensional shapes have
- How many vertices and sidesCount the number of vertices (corners) and sides on the given 2-D shapes
- How many lines of symmetryIdentify the number of lines of symmetry each shape has
- Identify properties of 2-D shapesChoose the correct set of properties for the given 2-dimensional shapes

Position + Direction

Position on a 2-D grid

- Right up from the originFrom the origin count the number of steps right and up to get to point X

Translate a shape

- Right 3, up 3Identify the shape that has moved 3 squares right and 3 squares up
- Right 3, down 3Identify the shape that has moved 3 squares right and 3 squares down

Describe the translation

- Right and upDescribe the translation of the pink square to the green square using right and up
- Right and downDescribe the translation of the pink square to the green square using right & down
- Left and upDescribe the translation of the red square to the green square using left and up
- Left and downDescribe the translation of the green square to the pink square using left and down

Shapes that turn

- 90-degree turn clockwisePick the shape that has turned 90-degrees clockwise
- 180-degree turnPick a shape that has turned 180-degrees
- 90° turn anticlockwisePick the shape that has turned 90 degrees anticlockwise

Plot points

- What polygon is formedTake the plotted points and the additional point coordinates to identify the polygon that is formed

Statistics

Bar charts

- Interpret bar chartsUse the bar charts to identify the number of people who prefer different pets
- Bar charts: most, least popularFor each survey result graph, decide which animal is the most or least popular pet
- Bar charts: how many moreDecide how many more people prefer one pet over the number who prefer a different pet

Tables

- Interpret tablesRead the tables and interpret the data to answer the questions about how many vehicles were seen
- Tables: most, least frequentFor each table work out which category of vehicle is the most or least frequently seen
- Tables: greatest, least differenceIn these tables, which two categories of vehicles have the biggest or smallest difference in frequency?

Venn diagrams

- Venn diagrams: 2 categoriesUse these 2 category Venn diagrams to answer the questions
- Venn diagrams: 2 categories: missing numbersUse the given information to complete these 2 category Venn diagrams

Time graphs

- Interpret time graphsUse the time graphs to identify the distance travelled after a certain number of hours
- Time graphs: distance traveledUse the time graphs to work out the distance traveled or the distance from home at the given times

Algebra

Equations

- One step addition equationsSolve the one-step addition equation to find the value of the unknown variable
- One step subtraction equationsSolve the one-step subtraction equation to find the value of the letter
- One step multiplication equationsSolve the multiplication equation to find the value of the letter
- One step division equationsSolve the one-step division equation to find the value of the letter

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