List

Working Systematically

The tasks in this feature are designed to encourage children to work systematically - a valuable tool frequently used by mathematicians.  We would love to receive solutions from your learners.  Click the 'Submit a solution' link on any live problem to find out the closing date.

Sort the Street
problem
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Sort the street

Age
5 to 7
Challenge level
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Sort the houses in my street into different groups. Can you do it in any other ways?

Two Dice
problem
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Two dice

Age
5 to 7
Challenge level
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Find all the numbers that can be made by adding the dots on two dice.
Three Ball Line Up
problem
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Three ball line up

Age
5 to 7
Challenge level
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Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Growing Garlic
problem
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Growing garlic

Age
5 to 11
Challenge level
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Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

A Mixed-up Clock
problem
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A mixed-up clock

Age
7 to 11
Challenge level
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There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Factor Lines
problem
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Factor lines

Age
7 to 14
Challenge level
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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Sealed Solution
problem
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Sealed solution

Age
7 to 11
Challenge level
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Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?