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Problem-solving maths investigations for year 5.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 5 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 5 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 5:

  • Individually, they are incorporated into every unit in our Year 5 flexible maths blocks .
  • Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 5 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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Problem Solving

Problem solving and the new curriculum

Problem solving and the new curriculum

Developing a classroom culture that supports a problem-solving approach to mathematics

Developing a classroom culture that supports a problem-solving approach to mathematics

Developing excellence in problem solving with young learners

Developing excellence in problem solving with young learners

Using NRICH Tasks to Develop Key Problem-solving Skills

Using NRICH Tasks to Develop Key Problem-solving Skills

Trial and Improvement at KS1

Trial and Improvement at KS1

Trial and Improvement at KS2

Trial and Improvement at KS2

Working Systematically

Working Systematically - Primary teachers

Number Patterns

Number Patterns

Working Backwards at KS1

Working Backwards at KS1

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Working Backwards at KS2

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Visualising at KS1 - Primary teachers

Visualising at KS2

Visualising at KS2 - Primary teachers

Conjecturing and Generalising at KS1

Conjecturing and Generalising at KS1 - Primary teachers

Conjecturing and Generalising at KS2

Conjecturing and Generalising at KS2 - Primary teachers

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