Problem solving

Problem-solving Investigations - Year 5

The problem-solving investigations below match Hamilton’s weekly maths plans. We now also provide Year 5 maths as short blocks. We will eventually be phasing out the plans, as we believe our short blocks offer you all of the same advantages and more, including the integration of the problem-solving investigations into each unit of study. Find out more about the advantages of Hamilton's short blocks.

Supporting documents for set
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Exasperating 80 grand

Children use all of the digits 0 to 9 once only to create pairs of five-digit numbers, with a total as close to 80,000 as possible.

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Adding even and odd amounts

Children create two amounts of money – one with even digits, one with odd digits – and add these. They look for patterns of even/odd in the totals.

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Persistent answers

Children subtract numbers with consecutive digits from numbers with identical digits and record the different possible answers.

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Shapes in perspective

Children experiment with parallel and angular perspective when drawing 3D shapes.

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Long as you like (1), Fraction pictures (2)

Long as you like (1): Children create chains of numbers by finding factors and multiples.  Their aim is to create the longest chain possible. Fraction pictures (2): Children use knowledge of equivalent fractions to work out what fraction each shape is as part of the whole picture, and which shapes are the same size.

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Excellent eights

Children explore patterns when multiplying numbers with consecutive digits by 8.

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Prime differences

Children find out if prime numbers become less frequent as we consider sets of larger numbers.

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Talisman squares

Children explore patterns in a Talisman Square. They find differences between adjacent numbers on a 4 x 4 grid and then explore arrangements on a 3 x 3 grid.

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Digits of time

Children find out how many times the digit 9 is used on the 24 hour digital clock between noon and midnight.

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Oddly friendly fractions

Children explore patterns when adding fractions. They create fractions with related denominators and then add these, turning improper fractions into mixed numbers.

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Magic star additions

Children explore addition patterns on a star derived from a simple magic star.  They use mental or written addition to add 4-digit numbers.