Problem solving

Problem-solving Investigations - Year 5/6

Hamilton provide weekly Mixed Year 5/6 maths problem-solving investigations (below). These mixed-age investigations below will be phased out when we phase out our mixed age weekly maths plans.  Year 5/6 short 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 Y35/6 maths blocks, including investigations.

Supporting documents for set
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Lost digit

Children explore six-digit numbers using a 'trick' based on reduced numbers (casting out nines).

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Martian numbers

Children explore the facts that Arabic numbers use a base of 10, we can write numbers using a base of 3, and Roman numbers have no base.

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Percentage puzzles

Children work sytematically to find equivalent percentages of different amounts.

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Billiard angles

Children use knowledge of angles to draw lines of incidence and reflection on billiard tables of differing proportions. They identify patterns and make predictions.

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SATs this week: no plans

No investigations for SATs week. Good luck!

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Durer's square magic

Chidren use Durer's Magic Square and create two- or three-digit numbers and find the difference between different pairs. They identify patterns.

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What an odd thing!

Children create a triangle of odd numbers and identify the patterns when rows are summed or their end numbers are averaged.

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Reverse digits, same product

Children find the product of a pair of two-digit numbers then reverse the digits of both numbers and find an identical product.

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Annoying clock

Children apply their knowledge of time to solve a multi-step problem involving dates and organised reasoning.

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Children work out the capacity of their classroom.

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Fraction fireworks

Children find the answers to a sequence of fraction multiplications and look for patterns in the answers.

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Remainder runners

Children divide 1234, 2345, 3456 by 3, 4, 5.... and look for patterns in the remainders or decimal parts of the exact answers.