Problem solving

Problem-solving Investigations - Year 6

The problem-solving investigations below match Hamilton’s weekly maths plans. We now also provide Year 6 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.

Please note, we do not provide Investigations for Year 6 Summer Term in order to make space for SATs.

Supporting documents for set
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Giant domino addition

Children follow a logic to convert arrangements of dominoes to numbers, and then perform a giant addition. They then create their own domino additions and explore addition patterns. 

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Crack the code

Children use logical thinking and number bonds to solve a mathematical puzzle involving multiplying by 10 and 100 and adding decimal numbers.

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Children subtract 5-digit numbers and look for patterns in the digital roots. 

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Ellipse in a circle

Children draw a circle and then use straight lines and angles to construct an ellipse within it.

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Magic multiplication squares

Children complete a magic multiplication square using their knowledge of number properties and relationships. They then explore factors and multiples to create a new multiplication magic square.

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The eights have it

Children multiply numbers starting with 9 by 9 and add single-digit numbers in a decreasing sequence. They identify and describe the patterns and start to explain them.

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Awesome answers

Using a magic square to generate 3-digit numbers, children create divisions with dividends containing specified fractions.

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Dicey differences

Children use two dice with decimal numbers to find largest and smallest possible differences, and use mathematical reasoning to calculate the probability of getting close to a specified target.

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Weights in a line

Children use systematic working to calculate the number of possibilities of making weights, and then look for patterns utilising line graphs.

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Domino fractions

Children use dominoes to create fractions. They explore sums of fractions using equivalent fractions and related denominators.

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Stunning squares

Children explore patterns in the squares of numbers with reversed digits to find pairs of ‘stunning squares’.