Working systematically

There are 555 NRICH Mathematical resources connected to Working systematically
Tea Cups
problem

Tea Cups

Age
7 to 14
Challenge level
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Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
Consecutive Numbers
problem

Consecutive Numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Dienes' Logiblocs
problem

Dienes' Logiblocs

Age
5 to 7
Challenge level
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This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?
Prompt Cards
problem

Prompt Cards

Age
7 to 11
Challenge level
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These two group activities use mathematical reasoning - one is numerical, one geometric.
Cereal Packets
problem

Cereal Packets

Age
7 to 11
Challenge level
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How can you put five cereal packets together to make different shapes if you must put them face-to-face?
Multilink Cubes
problem

Multilink Cubes

Age
7 to 11
Challenge level
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If you had 36 cubes, what different cuboids could you make?
content-03-01-cupboardlove2-sol1.gif
problem

Geoboards

Age
7 to 11
Challenge level
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This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
Integrated sums sudoku
page

Integrated sums sudoku

The puzzle can be solved with the help of small clue-numbers which are either placed on the border lines between selected pairs of neighbouring squares of the grid or placed after slash marks on the intersections between two diagonally adjacent squares.