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Free Math Games offers 15 top level categories for 1st grade. Taken together, these categories cover the majority of the US math curriculum for 1st grade.

See the list of topics for 1st grade or select a math category from the table below to see the available sub-categories and topics, or go directly to the 1st grade games, lessons and tests.

The CCSS core curriculum for 1st grade covers a range of categories, including:

**Number and place value**

Students learn how to read, write, order, and compare numbers up to 100. They also learn how to count forwards and backwards in steps of 2, 3 and 5.**Addition and subtraction**

Using number bonding and otherwise, students learn how to add and subtract whole numbers with up to 2 digits. They study number bonding up to 100.**Multiplication and division**

Students consider multiplication via repeat addition. They are introduced to division by dividing objects into groups. Students learn how to multiply and divide whole numbers by 2 and 10. They are introduced to the two, five and ten times tables.**Fractions**

Students are introduced to the concept of fractions. They learn to recognize and name halves and quarters, understanding that they represent parts of a whole or a set. They learn to calculate half a number and a quarter of a number.**Measurement**

Students learn to measure using appropriate units, compare and order measurements, and solve simple measurement problems. They also begin to understand the concept of time, including telling time to the hour and half-hour.**Shapes**

Students identify 2D and 3D shapes by name. They study some properties of 2D shapes including the number of sides and corners.**Position & direction**

Students begin to explore shapes that are rotated through a quarter, a half or three-quarters.**Statistics**

Students explore pictographs, tally charts and block diagrams and use them to identify facts.

In addition to these specific categories, pupils also develop their ability to solve real life problems using the mathematical principles they have been introduced to.

Below is the complete list of topics for 1st grade arranged by category. Click on a topic to view more information.

Counting

Count down

- Count down from 75 to 50Count down from 75 to 50 using whole numbers
- Count down from 100 to 75Count down from 100 to 75 using whole numbers

In steps of 2 (0 to 50)

- Count in steps of 2 to 50Count up in steps of 2 to 50 using whole numbers
- 2 step number line to 50Count up in steps of 2 to 50 using a number line
- Count down in steps of 2 Count down in steps of 2 from 50 using whole numbers

In steps of 3 (0 to 50)

- Count in steps of 3 through 50Count up in steps of 3 from 3 through 50
- 3 step number line to 50Count up in steps of 3 through 50 using a number line
- Count down in steps of 3Count down in steps of 3 from 48 using whole numbers

In steps of 5 (0 to 50)

- Count in steps of 5Count up to 50 in steps of 5 using whole numbers
- 5 step number line to 50Count up in steps of 5 to 50 using a number line

Read and write numbers

- Number names to digits: 10 to 50Match the names of numbers to the correct digits for numbers from 10 to 50
- Digits to number names: 10 to 50Read digits from 10 to 50 and choose the matching number name
- Number names to digits: 50 to 100Match number names to the correct digits for numbers from 50 to 100
- Digits to number names: 50 to 100Read numbers as digits from 50 to 100 and choose the matching name for the number

Comparing numbers

Biggest and smallest

- Biggest number: 50 - 100Choose the biggest of a group of numbers between 50 & 100
- Smallest number: 50 - 100Choose the smallest of a group of numbers between 50 and 100
- Biggest & smallest numberChoose the smallest & biggest number from groups of numbers between 20 and 100

Bigger and smaller

- Bigger number 50 - 100Say which number is bigger than the other number
- Smaller number 50 - 100Say which number is smaller than the other number

Odds & evens 20 to 50

- Odd or even?Choose whether these numbers from 20 to 50 are odd or even
- More odd or even numbersAre there more odd or even numbers in these groups
- Count even numbersHow many of these numbers from 20 to 50 are even?
- Count odd numbersHow many of these numbers from 20 to 50 are odd?

Order numbers

- Sort numbers to 100 small to largePick the correct order of numbers from smallest to largest for numbers from 1 to 100
- Sort numbers to 100 large to smallPick the correct order for lists of numbers up to 100 from largest to smallest

Halfway between

- Halfway between: 20 to 50Choose the number halfway between 2 numbers from 20 to 50
- Halfway between: 50 to 100Choose the number halfway between 2 numbers from 50 to 100

Money

- Smallest amountChoose the smallest of 3 amounts of money
- Largest amountChoose the largest of 3 amounts of money
- Smallest to largestChoose the correct order for amounts of money from smallest amount to largest

Pattern

Number patterns

- Add 3, 4 or 5 each timePick the next number in these patterns of adding 3 or 4 or 5 each time
- Subtract 3 or 4 each timePick the next number in these patterns of subtracting 3 or 4 each time

Shape patterns

- Next shape: 3 shapesPick the next coloured shape in each of these patterns of 3 shapes
- Missing shape: 3 shapesIdentify the missing coloured shape in each of the given patterns
- Next shape: arrowsPick the next arrow in these patterns of arrows in different orientations

Times table patterns

- Two times tableIdentify the missing numbers in these 2 times table patterns
- Five times tableIdentify the missing numbers in these 5 times table patterns
- Ten times tableIdentify the missing numbers in these 10 times table patterns

Place value

10 more, 10 less

- 10 more: 0 to 20Pick the number that is 10 more than the given number from 0 to 20
- 10 less: 0 to 20Pick the number that is 10 less than the given 10 to 20 number
- 10 more: 20 to 50Pick the number that is 10 more than the given 20 to 50 number
- 10 less: 20 to 50Pick the number that is 10 less than the given 20 to 50 number

Identifying place values

- Units place value: 1-99Identify the units place value for each of these 2-digit numbers
- Tens place value: 1-99Identify the tens place value for each of these two-digit numbers

What do the digits mean

- Two-digit numbers 1-20Say what each digit represents in terms of tens and units
- Two-digit numbers 20-50For each number say what each digit represents in terms of tens and units
- Two-digit numbers 50-99For each number say what each digit represents in terms of tens and units

Partitioning numbers

- Partitioning 2-digit numbersIdentify the value of the green digit by partitioning these 2 digit numbers into tens and units

Rounding numbers

- Round to nearest 10: to 20Use place values to round numbers from 5 to 20 up or down to the nearest 10
- Round to nearest 10: to 50Use place values to round numbers from 20-50 up or down to the nearest 10
- Round to nearest 10: to 100Use place values to round numbers up to 100 up or down to the nearest 10
- Round to nearest 100Use place values to round numbers from 50 to 500 to the nearest 100

Addition

Number bonding

- Number bonding to 10Identify the number pairs that bond to 10
- Number bonding to 20Identify the number pairs that bond to 20
- Number bonding to 15Identify the number pairs that bond to 15
- Number bonding to 25Identify the number pairs that bond to 25

Add using number bonds

- Number bonds: add 1-digit + 2-digitsUse number bonding to add a single-digit number and a double-digit number
- Add 2 double-digit numbersUse number bonding to add 2 double-digit numbers
- Add 3 two-digit numbersUse number bonding to add 3 double-digit numbers together

Add lengths

- Add centimetresUse the scales to add up the lengths in centimetres
- Add metresUse the scales to add up the lengths in metres

One-step problems

- Missing number: double-digit numbersWhat is the missing number in these double-digit plus double-digit addition sums
- Missing answer: double-digit numbersWork out the missing answer in these double-digit plus double-digit addition sums

Matching additions

- Match additions: single-digit numbersFrom 3 single-digit plus single-digit additions, choose the pair of sums that give the same answer
- Match additions: single plus double-digitsFrom three 1-digit plus 2-digit additions, choose the pair of sums that give the same answer

Word problems

- One person has more itemsUse addition to find out how many items there are in total
- Total cost: 2 itemsUse addition to find out how much the 2 items cost in total
- Total cost: 3 itemsUse addition to find out how much the 3 items cost in total

Subtraction

Subtracting numbers

- Subtract 1-digit numbersSubtract a single-digit number from a single-digit number
- Subtract: 2-digits minus 1-digitSubtract single-digit numbers from double-digit numbers
- Subtract: 2-digits minus 2-digitsSubtract double-digit numbers from double-digit numbers

Number facts

- Number bonds to 50Use the stated number bonds to work out the subtraction
- Number bonds to 100Use the stated number bonds to 100 to work out the subtractions

One-step problems

- Subtract: single-digit problemsWork out the missing number for these single-digit minus single-digit subtractions
- Subtract: 2-digits - 1-digit problemsCalculate the missing answer for these 2-digits minus 1-digit subtractions

Matching subtractions

- Match subtractions: 1-digit minus 1-digitChoose the two 1-digit minus 1-digit subtractions that give the same answer
- Match subtractions: 2-digits minus 1-digitChoose the two 2-digit minus 1-digit subtractions that give the same answer

Word problems

- Subtract: how many itemsUse subtraction to find how many items a person has if you know the total number of items
- Subtract: how many leftUse subtraction to find out the number of items that are left when some items are removed

Add + Subtract

Add and then subtract

- Adding 19Add 19 by adding 20 to a number and then subtracting 1
- Adding 18Add 18 by first adding 20 to a number and then subtracting 2 from the result

Add and then add again

- Adding 21Add 21 by adding 20 to a number and then adding 1 more
- Adding 22Add 22 by adding 20 to the number and then adding 2 more

Subtract and then add

- Subtract 19To subtract 19 from a number subtract 20 and then add 1
- Subtract 18Subtract 18 by subtracting 20 from a number then adding 2

Subtract and then subtract

- Subtract 21Subtract 21 by subtracting 20 from a number then subtracting 1 more
- Subtract 22Subtract 22 by subtracting 20 from a number then subtracting 2 more

Number machine

- Add and subtractAdd and subtract to find the answer
- Missing additionFind the missing number for the addition
- Missing subtractionFind the missing number in these 2 step subtractions

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 10Calculate the number that is double the given number
- Repeat additionsWhich repeat addition gives the same answer as the multiplication?

Count in steps

- Count in steps of 2 or 3Use counting in steps to work out simple multiplications of 2 or 3
- Count in steps of 10Use counting in steps to work out simple multiplications of 10

Mental method

- Multiplication of 2 unitsUse times tables or repeated addition to calculate these multiplications of 2 single-digit numbers

Progressive method

- Progressive methodProgressive method: choose the addition sum that 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

Times tables

- Multiplying by 10: add zeroConnect multiplying by 10 and place value by adding a zero to the number to be multiplied
- 2, 5 and 10 times tablesCalculate the answers to these questions from the 2 times, 5 times and 10 times tables
- Times tables problemsChoose the missing number for these 2, 5 and 10 times tables multiplication sums
- Times tables: match answersChoose the multiplication that matches the given addition e.g. 5 + 5 = 2 x 5

Division

Dividing objects

- Divide into 3 groupsIf you divide the fruit into 3 groups, say how many fruit will be in each group
- Divide into 5 groupsIf you divide the shapes into five equal groups, say how many shapes will be in each group

Dividing numbers

- Divide by 2Do the division by two and select the correct answer
- Divide by 5Do these divisions by 5 and choose the correct answer
- Divide by 10Do these division by 10 sums and select the correct answer

Reverse times tables

- One-step problemsFind the answer for these reverse times table divisions
- Match to additionWhich addition sum gives the same answer as the given division?
- Match to subtractionWhich subtraction give the same answer as the given division?

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 first and then subtract

Multiply + Divide

Matching Pairs

- Division and halvesChoose the division that produces the same answer as half a number
- Halving, doublingChoose sums that match a half or double a number

Number machine

- Find the missing answerDo a multiplication and then a division to find the answer
- Find the missing multipleWork back from the answer to find the missing multiple for these number machines
- Find the missing divisorWork back from the answer to find the missing divisor for these number machines

Words and symbols

- Words and symbolsChoose the correct missing words or symbols for these multiplication & division sums

Checking answers

- Are the answers the same?Do these different operations give the same answer?

Inverse law

- Multiplication as inverse of divisionGiven a division sum, use inverse operations to find the answer to the related multiplication
- Division as the inverse of multiplicationGiven a multiplication, use inverse operations to get the answer to the related division
- Multiplication & divisionIdentify the division sum that is an inverse of each multiplication sum

Fractions

Name fractions

- Name the fraction shaded redSelect the correct name for the fraction of each shape that is red

Fractions of things

- Half of somethingChoose the picture which shows half of a thing or quantity
- Quarter of somethingChoose the picture that shows quarter of a thing or quantity
- Three quarters of somethingChoose the picture that shows three quarters of a thing or quantity
- One third of somethingChoose the picture that shows one third of a thing or quantity

Fractions of numbers

- Half of a numberChoose the correct answer for half of each of these numbers
- Quarter of a numberFor each number, decide what a quarter of that number will be
- One third of a numberChoose the correct answer for a third of a number

Number line

- Number line of halvesIdentify the missing fraction values in the number lines
- Number line of quartersChoose the missing fraction values in the number line of quarters
- Number line of thirdsIdentify the missing fraction values in a number line of thirds

Measurements

Estimating

- Estimate the weightEstimate or guess the approximate weight of the objects
- Estimate the lengthEstimate or guess the approximate length of these objects and animals
- Estimate the temperatureEstimate or guess the approximate temperature of these things

Compare: height

- Who is taller?Look at the heights of two people and say who is taller
- Who is shortest?Look at the heights of 3 players and say who is the shortest
- Half the heightLook at the heights of 4 people including Sam and say who is half the height of Sam
- Order heights from shortest to tallestChoose the correct order for these heights from shortest to tallest

Compare: length

- Compare lengthsCompare lengths in standard units and choose which items is longer
- Use symbols to compare lengthsChoose a symbol to say if the first length is longer, shorter or equal to the second length
- Order these lengthsChoose the correct order for these lengths from shortest to longest

Compare: weight/mass

- Who is heavier?Look at the weights of two players and say who is heavier
- Which is lighter?Look at the weights of two objects and say which is lighter
- Double the weightFor each set of items, pick the item that is double the weight of the named item
- Use symbols to compare weightsChoose a symbol to say if A is heavier, lighter or equal in weight to B
- Order these weightsChoose the correct order for these weights from lightest to heaviest

Compare: volume

- Words that describe how full or emptyChoose the best words to describe how full or empty the containers are
- Order volumes: smallest to largestChoose the correct order for these litre and millilitre volumes from smallest to largest

Measuring objects

- Which units should you useChoose the correct units for taking these measurements
- Measure volume in millilitersLook at the container and choose the correct volume of liquid in it

Telling the time

- On the hourUse the clock to choose the correct time
- Half past the hourUse the clock to choose the correct time
- Quarter past the hourUse the clock to choose the correct time
- Quarter to the hourUse the clock to choose the correct time

Compare: time

- Who runs the fastestCompare the times of the runners and find who ran the fastest time
- Which car will arrive later?Compare departure and journey times and say which car will arrive later
- Arrive am or pm?Work out whether a family will arrive before midday (am) or after midday (pm)

Money

- Add coins worth up to 10¢Add up these coins with values up to 10¢ and say how much they are worth in total
- Add coins of any denominationIdentify the value of these sets of coins of any denomination
- Add money in dollars and centsAdd quantities of coins and notes in dollars and cents
- Take away coins worth up to 10¢Subtract sets of coins with denominations up to 10¢ and say how much is left
- Subtract coins worth up to 50¢Subtract sets of coins with denominations of up to 50¢ and say how much is left
- Work out the change from $1Use subtraction to work out how much change there will be from $1 when the item is purchased

Shapes

Identifying shapes

- Identify 2-dimensional shapesIdentify the names of each of these two-dimensional shapes
- Identify 3-dimensional shapesIdentify the names of each of these three-dimensional (3D) shapes

Properties of 2-D shapes

- How many sidesCount the number of sides on each of these 2-dimensional shapes

Properties of 3-D shapes

- Count corners, edges, facesIdentify the number of corners (vertices), edges or faces on these 3-dimensional shapes

Compare and sort

- 2D shapes by nameFrom these lists of names of shapes, identify those that are 2 dimensional (2D)
- 3D shapes by nameFrom these lists of names of shapes identify those that are 3 dimensional (3D)

Position + Direction

Shapes that turn

- Quarter turn clockwisePick the shape after it has done a quarter turn clockwise
- Half turnPick the shape after it has done a half turn clockwise or anticlockwise
- Three-quarter turn clockwisePick the shape after it has done a three-quarter turn clockwise
- Quarter turn anticlockwisePick the shape after it has done a quarter turn anticlockwise
- Three-quarter turn anticlockwisePick the shape after it has done a three-quarter turn anticlockwise

Side to side movement

- Move leftPick the shape that has moved 1, 2 or 3 squares to the left
- Move rightPick the shape that has moved 1, 2 or 3 squares to the right

Statistics

Interpret and present data

- PictographsUse the pictographs to count the number of different fruit that were eaten
- Tally chartsUse the tally charts to count the number of different fruit that were eaten
- Block diagramsUse the block diagrams to count the number of different fruit that were eaten
- Frequency tablesUse the frequency tables to decide the number of different fruit that were eaten

Pictograph problems

- Compare categoriesUse the pictographs to identify fruit categories with the most, fewest or same number of items
- How many more itemsFrom the pictographs say how many more items a certain category has than another category
- Two to one correspondenceUse pictographs with a two to one correspondence to count the number of people who like different fruit
- Ten to one correspondenceUse these pictographs with a ten to one correspondence to count items in categories

Tally chart problems

- Most or leastFrom the tally charts say which category of fruit are eaten most or least
- How many more?From the tally charts say how many more items a category has than another category

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