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Free Math Games offers 18 top level categories for 5th grade. Taken together, these categories cover the majority of the US math curriculum for 5th grade.

See the list of topics for 5th grade or select a math category from the table below to see the available sub-categories and topics, or go directly to the 5th grade games, lessons and tests.

The CCSS core curriculum for 5th grade covers a range of categories, including:

**Number and place value**

Students develop a deep understanding of the number system, including place value, ordering and comparing numbers, and rounding.**Addition, subtraction, multiplication, and division**

Students continue to refine their arithmetic skills and mental calculations. They learn efficient methods for addition, subtraction, multiplication, and division of larger numbers, including long multiplication and long division. They also develop strategies for solving multi-step problems involving these operations.**Fractions, Decimals, and Percentages**

Students will learn about different types of fractions, such as proper fractions, improper fractions, and mixed numbers. They will also learn how to add, subtract, multiply, and divide fractions. They learn to compare and order fractions and decimals, convert between these forms, and solve problems involving fractions and decimals. They also explore the concept of percentages and their relationship to fractions and decimals.**Ratio and proportion**

Students learn about ratios and how to express relationships between quantities using ratios. They will also learn how to use ratio and proportion to solve problems including scaling and finding equivalent ratios.**Measurement**

Students will learn about different units of measurement, such as length, mass, volume, and time. They will also learn how to convert between different units of measurement.**Geometry & shapes**

Students will learn about the properties of 2D and 3D shapes. They will also learn how to calculate the area and perimeter of 2D shapes, and the volume of 3D shapes.**Position & direction**

Students study properties of lines including angles, lines of symmetry, and parallel and perpendicular lines. They also explore transformations, such as reflections, rotations, and translations.**Statistics**

Students will learn about how to collect, organize, and interpret data. Students begin to analyze and interpret data using various graphs and charts, such as bar charts, line graphs, and pictograms. They learn to calculate the mean, median and mode of data sets.**Algebra**

Students will learn about basic algebraic concepts, such as variables, expressions, and equations. They will also learn how to solve simple algebraic problems.**Problem-solving**

Students will learn how to solve mathematical problems using a variety of methods. They will also learn how to apply mathematical concepts to real-world problems.

In addition to these specific topics, students will also develop their fluency with mathematical concepts and their ability to solve mathematical problems. They will be able to use mathematical reasoning to solve problems in other areas of their lives, such as science, technology, and engineering.

Below is the complete list of topics for 5th grade arranged by category. Click on a topic to view more information.

Counting

Read large numbers

- Number names to digits: 5-digitsGiven the written form of a 5-digit number choose the corresponding numeric form
- Number names to digits: 6-digitsGiven the written form of a 6-digit number choose the corresponding numeric form
- Number names to digits: 7-digitsGiven the written form of a 7-digit number choose the corresponding numeric form

Write large numbers

- Digits to number names: 5-digitsGiven the numeric form of a 5-digit number choose the corresponding word form of that number
- Digits to number names: 6-digitsGiven the numeric form of a 6-digit number choose the corresponding word form of that number
- Digits to number names: 7-digitsGiven the numeric form of a 7-digit number choose the corresponding word form of that number

Steps of powers of 10

- Steps up of 10³Identify the correct missing number in these steps up of 10³ (1000)
- Steps up of 10⁴Identify the next number in these steps up of 10⁴
- Steps up of 10⁵Identify the correct missing number in these steps up of 10⁵
- Steps down of 10³Identify the missing number in these steps down of 10³
- Steps down of 10⁴Identify the missing number in these steps down of 10⁴ (10,000)
- Steps down of 10⁵Identify the missing number in these steps down of 10⁵ (100,000)

Order negative numbers

- Largest or smallest negative numberChoose the largest or smallest of these negative numbers
- Negative numbers in ascending orderArrange these negative numbers in ascending order from smallest to largest
- Negative numbers in descending orderArrange these negative numbers in descending order from largest to smallest

Negative coordinates

- Identify negative coordinatesIdentify the negative number coordinates of point X on the grid
- Vertical distance between coordinatesCount the vertical places from a marked point to a given set of coordinates
- Horizontal distance between coordinatesCount the horizontal places from a marked point to a given set of coordinates

Temperature graph

- Difference in temperatureWork out the difference in average February temperatures between pairs of European cities
- Biggest difference in temperatureWhich 2 cities have the biggest difference in temperature?

Roman numerals

- Roman numerals to numbersConvert these Roman numerals into modern day numbers between 150 and 1000
- Numbers to Roman numeralsConvert these modern day numbers between 150 and 1000 into Roman numerals
- Convert years to Roman numeralsConvert year dates such as 1981 or 2017 to Roman numerals

Comparing numbers

Order decimal numbers

- Order decimals ascendingChoose the correct ascending order for these decimal numbers
- Order decimals descendingPick the correct order of numbers from largest to smallest

Order positives & negatives

- Largest numberChoose the largest of these positive and negative numbers
- Smallest numberChoose the smallest of these positive and negative numbers
- Ascending orderChoose the correct order of numbers from smallest to largest
- Descending orderChoose the correct order of numbers from largest to smallest

Using inequality symbols

- Larger numberUse the correct symbol to show which is the larger of 2 numbers
- Choose the correct symbolPick the symbol that describes the relationship of 2 numbers
- Pick the correct expressionChoose the inequality that best represents the sentence
- Pick the correct sentenceChoose the description that best represents the inequality

Money

- Smallest amountChoose the smallest monetary amount in notes and coins
- Largest amountChoose the largest monetary amount in notes and coins
- Order ascendingChoose the correct ascending order for sets of three monetary values

Naming numbers

- Name types of numberChoose the correct name for the numbers in each list e.g. square, cube, decimals, etc.
- Select types of numbersChoose the list of numbers that is of the type named in the question e.g. prime, cube, triangular, etc.
- Identify prime numbersFrom each list choose the number that is prime

Pattern

Next number

- 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

Missing term

- Square numbersIdentify the missing number in these square number patterns
- Cube numbersIdentify the missing cube number in these patterns
- Triangular numbersPick the missing number in these patterns of triangular numbers
- Fibonacci numbersChoose the missing number in these fibonacci sequences

Describing a pattern

- Term to term ruleChoose the correct rule for these number patterns
- Recognize a sequenceUse the given rule to choose the correct pattern

Place value

Identify the place value

- To 8-digits: tens place valueIdentify the value of the tens digit in each of these numbers up to 8-digits long
- To 8-digits: hundreds place valueIdentify the value of the hundreds digit in each of these numbers up to 8-digits long
- To 8-digits: thousands digitIdentify the value of the thousands digit in each of these numbers up to 8-digits long
- 8-digit numbers: millions place-valueIdentify the value of the millions digit for each these numbers up to 8-digits long

Rounding numbers

- Round numbers up to 10,000Use place value to round numbers up to 10,000 to the the given degree of accuracy

Change the place value

- Multiply by 10, 100, 1000, 10,000What do you need to multiply the given number by to change the green digit to the specified place value?
- Divide by 10, 100, 1000What do you need to divide by to make the green digit 5 into a hundred?

Describe the place value

- Multiply by 100What will the place value of the highlighted green digit be after multiplying by 100?
- Multiply by 1000What will the place value of the highlighted green digit be after multiplying by 1000?
- Multiply by 0.1What will the place value of the highlighted green digit be after multiplying by 0.1?
- Dividing by 10What will the place value of the highlighted green digit be after dividing by 10?
- Dividing by 100What will the place value of the highlighted green digit be after dividing by 100?
- Dividing by 0.1What will the place value of the highlighted green digit be after dividing by 0.1?

Addition

Number bonding

- Number bonding to 1000Identify pairs of multiples of 10 that bond to 1000
- Number bonding to 10,000Identify pairs of multiples of 100 that bond to 10,000
- Number bond to zeroIdentify the 3 numbers in the lists that have a sum of zero

Strings of numbers

- String of 4 numbersUse mental calculations to bond four 2-digit numbers
- String of 5 numbersUse mental calculations to bond five 2-digit numbers
- Strings of 6 numbersUse mental calculations to bond six 2-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 adjustment to make after rounding down to add
- Rounding up and downUse rounding up and down to simplify these additions

Estimate to add

- Estimate to add: 2-digit numbersEstimate by rounding 2-digit numbers to 1 significant figure and then adding
- Estimate to add: 3-digit numbers Estimate by rounding 3-digit numbers to 1 significant figure and then adding
- Estimate to add: 4-digit numbersEstimate by rounding pairs of 4-digit numbers to 1 significant figure and then adding

Word problems

- 2 people buy some itemsUse addition and/or multiplication to calculate how much the 2 people spend in total
- 3 people buy some itemsUse addition and/or multiplication to calculate how much the 3 people spend in total
- Total cost: 4 itemsUse addition to find out how much the 4 items cost in total

Formal written method

- Formal addition: 2-digits + 3-digitsFind the missing number for these formal 2-digit plus 3-digit columnar additions
- Formal addition: 3-digit numbersFind the missing number for each of these formal 3-digit plus 3-digit columnar additions
- Decimal numbersChoose the correct missing number for these formal decimal number additions

Subtraction

Estimate to subtract

- Estimate to subtract: 2-digit numbersEstimate by rounding double-digit subtractions to 1 significant figure
- Estimate to subtract: 3-digit numbers Estimate by rounding 3-digit subtractions to 1 significant figure
- Estimate to subtract: 4-digit numbersEstimate subtractions by rounding 4-digit numbers to 1 significant figure

Formal written method

- Formal subtraction: 2-digit numbersFind the missing number for these formal 2-digit minus 2-digit columnar subtractions
- Formal subtraction: 3-digits minus 2-digitsFind the missing number for these formal, columnar subtractions of 3-digits minus 2-digits
- Formal subtraction: 3-digit numbersFind the missing number for these formal 3-digit minus 3-digit columnar subtractions
- Decimal numbersChoose the missing number for these formal written subtractions with decimal numbers

Word problems

- How many more?Use subtraction to find how many more items someone has
- How many are left?Use subtraction to find out the number of items remaining

Money left

- Change from ten dollarsIdentify the correct change when items are purchased with a ten dollar bill
- Change from twenty dollarsIdentify the correct change when purchasing items with a twenty dollar bill
- Change from fifty dollarsIdentify the correct change to expect when purchasing items with a fifty dollar bill

Add + Subtract

Add 109, 119, 129

- Add 109 to a multiple of 10Add 109 to a number by first adding 110 and then subtracting 1 from the result
- Add 119 to a multiple of 10Add 119 to a number by first adding 120 and then subtracting 1 from the result
- Add 129 to a multiple of 10Add 129 to a number by first adding 130 and then subtracting 1 from the result

Add 101, 111, 121

- Add 101 to a multiple of 10Add 101 to a number by first adding 100 and then adding a further 1 to the answer
- Add 111 to a multiple of 10Add 111 to a number by first adding 110 and then adding a further 1 to the answer
- Add 121 to a multiple of 10Add 121 to a number by first adding 120 and then adding a further 1 to the answer

Subtract 89, 99, 109

- Subtract 89 from multiple of 10Subtract 89 from a number by first subtracting 90 and then adding 1 to the result
- Subtract 99 from multiple of 10Subtract 99 from a number by first subtracting 100 and then adding 1 to the result
- Subtract 109 from multiple of 10Subtract 109 from a number by first subtracting 110 and then adding 1 to the result

Subtract 101, 111, 121

- Subtract 101Subtract 101 from a number by subtracting 100 and then subtracting 1 more
- Subtract 111Subtract 111 from a number by subtracting 110 and then subtracting 1 more
- Subtract 121Subtract 121 from a number by subtracting 120 and then subtracting 1 more

Number machine

- Add and subtractAdd and subtract to find the answer to these 2 step problems
- Missing additionFind the missing addition in these 2 step add and subtract number machine operations
- Missing subtractionFind the missing subtraction value in these 2 step add and subtract operations

Checking answers

- Check subtractions using inverse operationsChoose the inverse operations that check these subtractions
- Check additions using inverse operationsChoose the inverse operations that correctly check these additions

Multiplication

Identifying multiples

- Multiples of numbers up to 30Identify multiples of numbers up to 30
- Greatest multiple of 13Choose the greatest multiple of 13 from these lists of numbers up to 160
- Identify multiples of 40List the first two multiples of 40 between the given pairs of numbers
- Identify multiples of 75List the first two multiples of 75 between the given pairs of numbers

Mental Method

- Times tables to 12 x 5Choose or recall the correct answers for times tables multiplications up to 12 x 5
- Times tables to 12 x 10Choose or recall the correct answers for times tables multiplications up to 12 x 10
- Times tables to 12 x 12Choose or recall the correct answers for times tables multiplications up to 12 x 12

Formal written method

- Long Multiplication: 2 by 2-digitsFind the missing number for these two-digit by two-digit formal long multiplications
- Long Multiplication: 3 by 3-digitsFind the missing number for these 3-digit by 3-digit formal long multiplications
- Long Multiplication: 4 x 1-digitsPIck the missing number for these 4-digit by 1-digit formal long multiplications

Mixed operations

- Add and then multiplyUse mental calculations to answer questions where you add first and then multiply
- Subtract and then multiplyUse mental calculations to answer questions where you subtract first and then multiply
- Multiply and then addUse mental calculations to answer questions where you multiply first and then add
- Multiply and then subtractUse mental calculations to answer questions where you multiply first and then subtract

Division

Mental method

- Divide 1-digit into 2-digit numbersUse mental calculations to divide double-digit numbers up to 99 by single-digits
- Divide by 5Use mental calculations to divide 3-digit numbers by 5
- Divide by 10Use mental calculations to divide numbers from 1000 to 100,000 by 10
- Divide by 100Use mental calculations to divide numbers up to 100,000 by 100
- Divide by 1000Use mental calculation to divide numbers up to 900,000 by 1000

Formal short method

- Formal short: 1-digit into 2-digitsFormal short division, missing number problems: 2-digit numbers divided by 1-digit numbers
- Formal short: 1-digit into 3-digitsFormal short division, missing number problems: 3-digit numbers divided by 1-digit numbers
- Formal short: 1-digit into 4-digitsFormal short division, missing number problems: 4-digit numbers divided by 1-digit numbers
- Formal short division: 2-digitsFormal short division, missing number problems: 2-digit numbers divided by 2-digit numbers
- Formal short: 2-digits into 3-digitsFormal short division, missing number problems: 3-digit numbers divided by 2-digit numbers
- Formal short: 2-digits into 4-digitsFormal short division, missing number problems: 4-digit numbers divided by 2-digit numbers

Formal long method

- Formal long: 1-digit into 2-digitsFormal long division, missing number problems: 2-digit numbers divided by 1-digit numbers
- Formal long: 1-digit into 3-digitsFormal short division, missing number problems: 3-digit numbers divided by 1-digit numbers
- Formal long: 1-digit into 4-digitsFormal short division, missing number problems: 4-digit numbers divided by 1-digit numbers
- Formal long: 2-digits into 3-digitsFind the missing number for these 2-digits into 3-digits formal long divisions
- Formal long: 2-digits into 4-digitsFind the missing number for these 2-digits into 4-digits formal long divisions

Formal short with remainder

- 1-digit into 2-digits with remainderFind the remainder for each formal short division dividing 2-digit numbers by 1-digit numbers
- 1-digit into 3-digits with remainderFind the remainder for each formal short division dividing 3-digit numbers by 1-digit numbers
- 1-digit into 4-digits with remainderFind the remainder for each formal short division dividing 4-digit numbers by 1-digit numbers
- 2-digits into 2-digits with remainderFind the remainder for each formal short division dividing 2-digit numbers by 2-digit numbers
- 2-digits into 3-digits with remainderFind the remainder for each formal short division dividing 3-digit numbers by 2-digit numbers
- 2-digits into 4-digits with remainderFind the remainder for each formal short division dividing 4-digit numbers by 2-digit numbers

Formal long with remainder

- Divide 2-digits by 1: fraction remainderFind the remainder as fraction for each long division dividing 2-digit numbers by 1-digit numbers
- Divide 3-digits by 1: fraction remainderFind the remainder as fraction for each long division dividing 3-digit numbers by 1-digit numbers
- Divide 4-digits by 1: fraction remainderFind the remainder as fraction for each long division dividing 4-digit numbers by 1-digit numbers
- 2-digits into 3-digits, remainder as fractionFind the remainder as fraction for each long division dividing 3-digit numbers by 2-digit numbers
- 2-digits into 4-digits, remainder as fractionFind the remainder as fraction for each long division dividing 4-digit numbers by 2-digit numbers

Mixed operations

- Add then divideUse mental calculations to answer questions where you add first and then divide
- Subtract then divideUse mental calculations to answer questions where you subtract first and then divide
- Divide then addUse mental calculations to answer questions where you divide first and then add
- Divide then subtractUse mental calculations to answer questions where you divide and then subtract
- BIDMAS - 4 operationsUse order of operations (BIDMAS) to find the correct answers

Multiply + Divide

Matching Pairs

- Two matching divisionsChoose the two division that produce the same answer

Order of operations

- Order of operations: missing multipleWork back from the answer to find the missing multiple in these multiply then divide 2 step operations
- Order of operations: missing divisorWork back from the answers to find the missing divisors for each of these 2 step operations
- Using bracketsCalculate the answers to these questions involving brackets, multiplication and division

Factors

- Find the factors of numbers to 99Use times tables or otherwise to identify all the factors of numbers up to 99
- Common factorsIdentify all the common factors of two numbers up to 99

e.g. the common factors of 4 and 8 are 1, 2 and 4 - Highest common factorIdentify the highest common factor of two numbers up to 99
- Prime numbersIdentify the 2 prime numbers in each list of numbers up to 99
- Prime factorsIdentify the prime factors of each number up to 99
- Common factors & fractionsUse common factors to identify equivalent fractions

Distributive laws

- Expand a x b into a x (c+d)Find the missing number in each of these distributive method expansions
- Turn a x (c + d) into ac + adIdentify the missing number in these distributed method bracket expansions

Solving problems

- Area and cost per square metreUse order of operations to find the unit cost per square metre

Best Price

- Best price - divide by 7Use division by 7 to work out the saving made by purchasing a packet of 7 rather than individual items
- Best price - divide by 9Use division by 9 to work out the saving made by purchasing a packet of 9 rather than individual items

Money and people

- Calculate the unit costFind the unit cost of items using multiplication and division
- Fractions of groups or moneyFind fractions of groups or money by first dividing or cross-cancelling and then multiplying
- Share money using ratioShare out a given amount of money at a given ratio using multiplication and division

Fractions

Compare fractions

- Compare fractions: equivalenceChoose which two fractions are equivalent from groups of three fractions
- Which fraction is biggestChoose the fraction which is the biggest
- Which fraction is smallestChoose the fraction which is the smallest
- Half of a fractionChose the fraction that is half the size of the given fraction
- Double a fractionChoose the fraction that is double the size of the given fraction

Order fractions

- Order fractions: ascendingFind the list of fractions that is in correct ascending order
- Order fractions: descendingFind the list of fractions that is in correct descending order from largest to smallest

Fractions of a quantity

- Unit fractions of a quantityUse division to find unit fraction multiples of quantities
- Three eighths of a quantityChoose the correct answer for ⅜ of a quantity
- Five eighths of a quantityChoose the correct answer for ⅝ of a quantity
- Five ninths of a quantityChoose the correct answer for 5/9 of a quantity
- Missing fraction problemsCalculate the missing fraction that completes these multiplication sums

Convert fractions

- Mixed to top-heavy Convert mixed fractions to improper (top-heavy) fractions
- Top-heavy to mixed fractionsConvert these top-heavy fractions to mixed fractions
- Simplify fractions: cancel zerosCancel zeros top and bottom to simplify each fraction
- Simplify fractions: halve even numbersHalve even numbers top and bottom to simplify the fractions
- Simplify fractions: common factorsDivide top and bottom by a common factor to simplify the fractions

Add fractions

- Add fractions: same denominatorAdd fractions where no change is required to the denominators
- Add equivalent fractionsAdd these fractions by making the denominators the same using common factors
- Add fractions using LCDUse a lowest common denominator (LCD) to add these pairs of fractions
- Add mixed fractionsConvert these mixed fractions to top-heavy fractions and then add them together

Subtract fractions

- Subtract same denominator fractionsCalculate the fraction subtractions where no change is required to the denominators
- Subtract equivalent fractionsSubtract these equivalent fractions by matching denominators using common factors
- Subtract fractions using LCDConvert one fraction using a lowest common denominator (LCD) in order to subtract the fractions
- Subtract mixed fractionsUse borrowing or other methods to subtract mixed fractions

Multiply fractions

- Proper fractions: simpleMultiply proper fractions by multiplying across the numerators and denominators and simplifying
- Multiply fractions: cross cancel firstMultiply fractions by cancelling numbers first using the BOW TIE method - simplify your answers

Divide proper fractions

- Divide proper fractions by whole numbersUse the flip method for dividing by a fraction to expand the question and identify the answer

Reverse fraction of quantity

- From fractional amount to original amountWork backwards from a fractional amount to find the whole amount

Fractions and decimals

- Equivalent sizesIdentify the decimal that is the same size as the fraction
- Decimals greater than fractionIdentify the decimals that are greater than the given fraction

Word problems

- Capacity & volume problemsSolve problems involving capacity and volume identifying the correct answer using fractions

Decimals

Writing decimals

- Word decimals to decimalsTurn these word descriptions of decimal numbers into numerical decimals

Value of a digit

- Identify decimal digitsIdentify the specified digit in these 3 decimal place (3dp) numbers

Round decimals

- Round to 1 decimal placeRound each of these decimal quantities to the nearest 1 decimal place (1 d.p.)
- Round to 2 decimal placesRound each of these decimal quantities to the nearest 2 decimal place (2 d.p.)
- Round to 3 decimal placesRound each of these decimal quantities to the nearest 3 decimal place (3 d.p.)

Add decimals

- Add decimalsAdd decimal numbers by arranging them in columns and lining up the decimal points

Subtract decimals

- Subtract decimalsSubtract decimal numbers by arranging them in columns and lining up the decimal points

Multiply decimals

- Multiply decimals by 10Multiply decimals by 10, giving each answer to the requested number of decimal places
- Multiply decimals by 100Multiply decimals by 100, giving each answer to the requested number of decimal places
- Multiply decimals by 1000Multiply decimals by 1000, rounding the answer to the requested number of decimal places

Divide decimals

- Single-digit into a 1 d.p. numberUse the bus stop method to divide a 1 decimal place number by a single-digit number
- Single-digit into a 2 d.p. numberUse the bus stop method to divide a 2 decimal place number by a single-digit number

Ratio + proportion

Relative sizes

- Double the sizeUse multiplication and division to get double the size of the objects or values
- Triple the sizeUse multiplication and division to find triple the given values and measures
- Five times the sizeUse multiplication and division to find five times the given sizes
- Half the sizeUse multiplication and division to find half of the given quantities and measures
- A third of the sizeUse multiplication and division to find a third of the size of the given values and measures
- A fifth of the sizeUse multiplication and division to find a fifth of the given values and measures
- Calculate total sizeUse multiplication and division to calculate the whole value or measure from the given decimal portion
- Relative size: find scale factorUse multiplication and division to find the scale factor given original and final sizes

Percent: no calculator

- Find 10%From 100% find out what 10% is using division (without using your calculator)
- Find 30%Find 30% by breaking up each given value into 3 lots of 10% (no calculator)
- Find 15%Find 15% by breaking up each given value into a 10% and a 5% and adding them together

Percent: with calculator

- Find 15% with calculatorFind 15% with your calculator using the multiplier 0.15
- Find 8% with calculatorFind 8% with your calculator using the multiplier 0.08
- Find 80% with calculatorFind 80% with your calculator using the multiplier 0.8

Express as a percentage

- Express 2 values as a percentageExpress 2 values as a percentage by creating a fraction from the 2 numbers and multiplying by 100

Compare proportions

- Compare fractions, decimals, percentCompare proportions using fractions, decimals and percent and say which is the biggest part of the whole
- Percentages of different measuresIdentify which percentage of a length is the longest

Similar shape problems

- Scale factors: calculate dimensionsUse the scale factor and model or drawing dimensions to calculate the real dimensions
- Similar shapes: find scale factorUse the properties of similar shapes to find the scale factor

Measurements

Volume

- Calculate volume of cuboidsUse the dimensions of the sides to calculate the volume of these cuboids
- Estimate volume of cuboidsUse rounding to calculate an estimate of the volume of these cuboids
- Compare volumes: largest, smallestCompare tabular cuboid dimensions and identify the one with the largest or smallest volume

Standard units

- Standard units: symbols to namesIdentify the correct names for these standard unit symbols
- Standard units: names to symbolsIdentify the correct standard units from the written descriptions
- Select units of measureIdentify the most appropriate units to use to measure the given items or events
- Identify compound unitsIdentify the compound units from the given lists of units

Convert units: large to small

- Convert hours to minutesIdentify the correct number of minutes for the given number of hours
- Convert kilometers to metersIdentify the correct number of meters for the given number of kilometers
- Convert meters to centimetersIdentify the correct number of centimeters for the given meters
- Convert centimeters to millimetersConvert the given number of centimeters to the equivalent number of millimeters
- Convert kilograms to gramsConvert the given number of kilograms to the equivalent number of grams
- Convert liters to millilitersConvert the given number of liters to the equivalent number of milliliters

Convert units: small to large

- Convert meters to kilometersConvert the given number of meters to the equivalent number of kilometers
- Convert centimeters to metersIdentify the correct number of meters for the given number of centimeters
- Convert millimeters to centimetersIdentify the correct number of centimeters for the given number of millimeters
- Convert grams to kilogramsIdentify the correct number of kilograms for the given number of grams
- Convert milliliters to litersConvert the given number of milliliters to liters by dividing the milliliters by 1000

Approximate equivalence

- Convert units: metric to imperialUse the stated approximations to convert metric to imperial measures
- Convert units: imperial to metricUse the stated approximations to convert imperial to metric measures
- Equality symbols: compare massSelect equality symbols to compare metric kilograms to imperial pounds (lb)
- Convert metric : imperial: line graphsUse the graphical representation to convert between metric and imperial measurements
- Equality symbols: compare lengthsChoose a symbol to indicate that length A is longer, shorter or equal to B

Formulae for area

- Area of parallelogramsUse the formula area = base x height identify the area of each parallelogram
- Area of trianglesUse the formula A = h x b/2 to identify the area of these triangles

Solving problems

- Perimeter: composite shapesUse letters to express the perimeter of composite shapes
- Scale drawings & areaUse given measure and scale factors to work out new areas
- Money earned over timeGiven certain data, work out how much someone earns in a day, a week, a month or per annum
- Negative integersUse a number line to add or subtract negative temperatures

Shapes

Identifying shapes

- 2D shapes from lengths, anglesFor each set of lengths and angles identify the correct 2D shape that is described
- 3D shapes from their netsIdentify the three-dimensional shape names for the given nets
- Nets from 3D shapesIdentify the correct net for the given three-dimensional shape names

Properties of 2-D shapes

- Most verticesFor each pair of shapes, identify which one has the greater number of vertices
- Most sidesFor each pair of shapes, identify which one has the greater number of sides
- Lines of symmetryFor each pair of shapes, identify which shape has more lines of symmetry
- Identify 2D shapes from propertiesChoose the shape to which the given set of properties (sides, angles, lines of symmetry) apply
- Parts of a circleIdentify parts of a circle including radius, diameter, circumference, chord, tangent etc.

Angles

- Acute anglesFor each of these lists, identify the largest angle that is acute
- Obtuse anglesIdentify the smallest or largest angle in each of these sets which is obtuse
- Reflex anglesIdentify the smallest or largest angle in each of these sets that is reflex

Angle problems

- Angles on a straight lineUse the fact that angles on a straight line sum to 180° to find the missing angle x
- Angles inside a triangleUse the fact that angles inside a triangle sum to 180° to find the missing angle X
- Angles inside quadrilateralUse the fact that angles inside a quadrilateral sum to 360° to find the missing angle X
- Angles around a pointUse the fact that angles around a point sum to 360° to find the missing angle x

Position + Direction

Describe the translation

- Describe the translation: right and upDescribe the translation of the pink square to the specified square using right and up
- Describe the translation: right and downDescribe the translation of the pink square to the specified square using right and down
- Describe the translation: left and upDescribe the translation of the pink square to the specified square using left and up
- Describe the translation: left and downDescribe the translation of the pink square to the specified square using left and down

Lines

- Identify parallel linesIdentify the two lines that are parallel
- Identify perpendicular linesIdentify the two lines that are perpendicular
- Positive and negative gradientsIdentify the lines with the described polarity and steepness of gradient
- Tangents and chordsIdentify whether the line is a tangent or a chord to the curve or circle
- Lines parallel to the quadratic gridIdentify lines of form y = n (e.g. y = 3) and x = n (e.g. x = 4) that are parallel to the quadratic grid

Position on a full grid

- Count right and up from the originCount how many steps right and up from the origin are required to get to point X
- Count right and down from the originCount how many steps right and down from the origin are required to get to point X
- Count left and up from the originCount how many steps left and up from the origin are required to get to point X
- Count left and down from the originCount how many steps left and down from the origin are required to get to point X

Translate a shape

- Left and upIdentify the square that is the result of translating the pink square left and up
- Right and downIdentify the square that is the result of translating the pink square right and down

Statistics

Interpret

- Interpret pie chartsInterpret the pie charts to identify the correct answers
- Interpret line graphsInterpret these line graphs of annual rainfall on 2 islands to identify the correct answers
- Interpret 3 category Venn diagramsInterpret these 3 category Venn diagrams to identify the correct answers

Mean mode median

- ModeIdentify the mode or most frequent in each data set
- MedianIdentify the median by placing numbers in order and striking
- MeanCalculate the mean by finding the total and dividing by the number of data points
- RangeIdentify the range for each of these sets of numbers
- OutliersIdentify the outlier in each of these sets of numbers

Algebra

Equations

- One step addition equationsSolve the one-step addition equation to find the value of X
- One step subtraction equationsSolve the one-step subtraction equation to find the value of x
- One step multiplication equationsSolve the multiplication equation to find the value of x
- One step division equationsSolve the one-step division equation to find the value of x

Formulae: perimeter

- Perimeter of squaresUse the formula perimeter P = 4 x length to work out the perimeter of each square
- Perimeter of rectanglesUse the formula perimeter P = 2 x (length + width) to calculate the perimeter of rectangles
- Perimeter of equilateral trianglesUse the formula P = 3 x length to work out the perimeter of these equilateral triangles
- Perimeter of compound shapesUse algebra to express the total perimeter of compound shapes in terms of x

Formulae: area

- Area of squaresCalculate the area of squares using the formula area A = length L times L
- Area of rectanglesCalculate the area of rectangles using the formula area A = length L x width W

Missing angles

- Angles on straight line: missing angleFind the missing angle using the angles on a straight line rule
- Angles around point: missing angleFind the missing angle using the angles around a point rule
- Angles in triangle: missing angle problemsFind the missing angle using the rule that angles in a triangle sum to 180 degrees
- Angles in a quadrilateralFind the missing angle using the rule that angles in a quadrilateral sum to 360 degrees

Express the missing angle

- Angles on a straight line: form an equationExpress the angles on a straight line missing number problem algebraically by forming an equation
- Angles around a point: form an equationExpress the angles around a point missing number problem algebraically by forming an equation
- Angles in a triangle: form equationExpress the angles in a triangle sum to 180 missing number problem algebraically by forming an equation

Missing lengths & numbers

- Composite shapes: missing lengthsIdentify the missing length X for each of these 2-dimensional composite shapes
- Coordinates of point PUsing the graph identify the x or y coordinate of the point labelled P

Simplify

- Collect up like termsUse addition and subtraction to collect up like terms
- Expand a simple bracketUse multiplication to expand a bracket then simplify the expression
- Multiply and simplifyUse multiplication to expand and then collect like terms

Linear Sequences

- Generate linear sequencesIdentify the sequence that is generated by the given formula
- Term to term ruleIdentify the correct term-to-term rule for the sequence
- Position to term ruleIdentify the correct position-to-term rule for the given sequences

Enumerate possibilities

- Two variablesIdentify the pair of numbers that satisfy a statement

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