Problem solving

Problem-solving Investigations - Year 3/4

Hamilton provide weekly Mixed Year 3/4 maths problem-solving investigations. The mixed-age investigations below will be phased out when we phase out our mixed age weekly maths plans.

Mixed-age maths blocks will be coming during Summer Term for September 2019 and will include investigations for every unit. Find out more about the timetable for Hamilton's Y3/4 maths blocks, including investigations.

Supporting documents for set
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No zero

Children investigate how many numbers between one and ten thousand have a zero.

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Puzzling squares

Use numbers 0 to 7 (or multiples of 10 from 0 to 70) to make a total of 10 (or 100) on each side of a square.

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Twisted subtractions

Subtract a number which is the reverse of another, e.g. 62 - 26, or 462 - 264.

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Soma cube

Children create specified 3-D shapes using 2-D representations and then combine these to create other 3-D shapes including a cube.

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Doubling forever

Children double numbers up to 10 (Y3) or 20 (Y4) and look for duplicate sequences.

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Magic chains

Children use knowledge of inverse operations to quickly work out a sequence of calculations.

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Magic 147

Children arrange the 'nearly numbers' in a square so that each row and column adds to Magic 147.

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Hole-y subtractions

Year 3: Children subtract numbers with identical digits from 101, 102, 103...and look for patterns in the answers.  Year 4: Children create 3-digit palindromic numbers with a 'hole' (i.e. a zero) in the middle.  They subtract 3-digit numbers with equal numbers of 1s, 10s and 100s and identify patterns.

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Dodgy digital clock

Children work out which times won't show correctly because of a faulty segment in the digital display.

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Mystery age

Year 3: Children use their knowledge of the 3, 4, and 5 times tables to work out mystery numbers.  Year 4: Children use their knowledge of the 5, 6, and 8 times tables to work out mystery numbers.

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Fraction clues

Children use their knowledge of fractions and tables to find mystery numbers.