Multiplication and Division 20_Problem Solving
(Year 5) ACMNA098, NSW MA3-4NA
Highest Common Factor.
PROBLEM SOLVING
Problems allow children to investigate concepts in new and varied situations. Any problem worth solving takes time and effort
– that’s why they’re called problems!
Problems are designed to develop and use higher order thinking. Allowing children to grapple with problems, providing minimal
support by asking strategic questions, is key. Differentiating problems allows children to solve simpler problems, before solving
more complex problems on a concept.
Problems may not always be solved the first time they are presented. Returning to a problem after further learning, develops
both resilience and increased confidence as children take the necessary time and input the necessary effort.
After solving problems, children also create their own problems.
The formulation of a problem is far
more essential than its solution,
which may be merely a matter of
mathematical or experimental skills.
It’s not that I’m
so smart
– I just stay with
problems longer.
The problem solving steps may be followed to solve problems.

Toni bought 44 jellies and 24 party favours for a party. She divided the jellies and party favours into party bags. What is the highest number of
bags that she could have so that each bag had an equal number of jellies and an equal number of party favours?

Alex has 36 packets of crayons and 21 packets of pencils. Alex divided the packets of crayons equally and the packets of pencils equally
between some children. What is the greatest number of children there could be?

The highest common factor of two numbers is 5. What could the numbers be?

The highest common factor of three numbers is 7. What could the numbers be?

Mary is making lolly bags. She has 36 chocolate bars, 18 lollipops, and 12 gummy bears. All bags must have the same number of each item.
What is the greatest number of lolly bags she can make without any items left over?
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
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Problem Solving
Multiplication and Division 20 Highest common factor
Toni bought 44 jellies and 24 party favours for a party.
She divided the jellies and party favours into party bags.
What is the highest number of bags that she could have so that each bag had an
equal number of jellies and an equal number of party favours?
Make up your own problem!
Website: http://www.alearningplace.com.au
Problem Solving
Multiplication and Division 20 Highest common factor
Alex has 36 packets of crayons and 21 packets of
pencils.
Alex divided the packets of crayons equally and the
packets of pencils equally between some children.
What is the greatest number of children there could
be?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Multiplication and Division 20 Highest common factor
The highest common factor of two numbers is 5.
What could the numbers be?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Multiplication and Division 20 Highest common factor
The highest common factor of three numbers is 7.
What could the numbers be?
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
Multiplication and Division 20 Highest common factor
Mary is making lolly bags.
She has 36 chocolate bars, 18 lollipops, and 16
gummy bears.
All bags must have the same number of each item.
What is the greatest number of lolly bags she can make without any items left over?
Make up your own problem!
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
http://www.alearningplace.com.au
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place