mr barton maths

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Multiples

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Foundational skills
Understand multiple terminology
\[ \text{True or false: 35 is a multiple of 7} \]
Decide whether a statement about multiples is true or false.
Identify a multiple from a list
\[ \text{Which is a multiple of 6: 22, 38, 42, 50?} \]
Pick the multiple of a given number from a list of options.
Identify a non-multiple from a list
\[ \text{Which is NOT a multiple of 4: 16, 24, 34, 40?} \]
Pick the non-multiple of a given number from a list of options.
Find a multiple given constraints
\[ \text{Multiple of 7 between 40 and 50} \]
Find a multiple of a number within a specified range.
Listing multiples
Write the first n multiples (2-10)
\[ \text{First 5 multiples of 8} \]
List the first several multiples of a single-digit number.
Write the first n multiples (11-15)
\[ \text{First 4 multiples of 12} \]
List the first several multiples of a larger number.
Write the first n multiples (larger)
\[ \text{First 3 multiples of 25} \]
List the first several multiples of numbers like 20, 25, 50.
List multiples in a range
\[ \text{Multiples of 9 between 20 and 60} \]
Find all multiples of a number within a given range.
Find the nth multiple
\[ \text{8th multiple of 7} \]
Calculate a specific multiple without listing all previous ones.
Identify position of a multiple
\[ \text{72 is which multiple of 9?} \]
Determine the position of a given multiple in the sequence.
Common multiples
Common multiples (small)
\[ \text{First 3 common multiples of 4 and 6} \]
Find multiples that two small numbers share.
Common multiples (medium)
\[ \text{First 3 common multiples of 6 and 8} \]
Find multiples that two medium numbers share.
Common multiples of three numbers
\[ \text{First 2 common multiples of 2, 3, 5} \]
Find multiples shared by three numbers.
Identify if a number is a common multiple
\[ \text{Is 48 a common multiple of 6 and 8?} \]
Check whether a given number is a multiple of both given numbers.
LCM by listing
Find LCM (small)
\[ \text{LCM of 4 and 6} \]
Find the lowest common multiple of two small numbers by listing.
Find LCM (medium)
\[ \text{LCM of 6 and 9} \]
Find the lowest common multiple of two medium numbers by listing.
Find LCM (larger)
\[ \text{LCM of 12 and 15} \]
Find the lowest common multiple of two larger numbers by listing.
Find LCM of three numbers
\[ \text{LCM of 3, 4, and 5} \]
Find the lowest common multiple of three numbers by listing.
LCM when one divides the other
\[ \text{LCM of 5 and 15} \]
Recognise that when one number divides the other, the larger is the LCM.
LCM of coprime numbers
\[ \text{LCM of 5 and 7} \]
Recognise that coprime numbers have LCM equal to their product.
LCM of consecutive numbers
\[ \text{LCM of 11 and 12} \]
Apply knowledge that consecutive numbers are coprime.
Applied problems
LCM in context – repeating events
\[ \text{Buses every 12 and 18 mins} \]
Use LCM to solve a real-world synchronisation problem.
LCM in context – buying quantities
\[ \text{Packs of 8 and 6} \]
Use LCM to find equal quantities from different pack sizes.
Find the missing number given LCM
\[ \text{LCM}(6, ?) = 30 \]
Work backwards from a known LCM to find a possible number.
Compare scenarios using LCM
\[ \text{Visits every 14 and 21 days} \]
Solve an LCM word problem with straightforward phrasing.
Comparing multiples
Identify the smaller of two multiples
\[ \text{4th of 9 or 5th of 7?} \]
Compare specific multiples of different numbers.
Order multiples by size
\[ \text{Order: 6th of 4, 3rd of 9, 5th of 5} \]
Order several multiples of different numbers by calculating their values.
Special cases
Multiples of 1
\[ \text{Is 47 a multiple of 1?} \]
Recognise that every positive integer is a multiple of 1.
A number is a multiple of itself
\[ \text{Is 15 a multiple of 15?} \]
Recognise that every positive integer is a multiple of itself.
Zero as a multiple
\[ \text{Is 0 a multiple of 6?} \]
Recognise that 0 is a multiple of every number.
Multiples of 10, 100, 1000
\[ \text{First 4 multiples of 100} \]
Work with multiples of powers of 10.
Timer (Optional)
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