Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
Eight queens
problem

Eight queens

Age
7 to 11
Challenge level
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Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.
Uncanny triangles
problem

Uncanny triangles

Age
7 to 11
Challenge level
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Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
Four-Triangle Arrangements
problem

Four-triangle arrangements

Age
5 to 7
Challenge level
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How many different shapes can you make by putting four right- angled isosceles triangles together?
Magnetic personality
problem

Magnetic personality

Age
7 to 16
Challenge level
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60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?
Pole Star Sudoku 2
problem

Pole star sudoku 2

Age
11 to 16
Challenge level
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This Sudoku, based on differences. Using the one clue number can you find the solution?
Advent Sudoku
problem

Advent sudoku

Age
11 to 14
Challenge level
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Rather than using the numbers 1-9, this sudoku uses the nine different letters used to make the words "Advent Calendar".
Bochap Sudoku
problem

Bochap sudoku

Age
11 to 16
Challenge level
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This Sudoku combines all four arithmetic operations.
Island Hopping
problem

Island hopping

Age
11 to 14
Challenge level
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What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
Alberta's Age
problem

Alberta's age

Age
14 to 16
Challenge level
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Alberta won't reveal her age. Can you work it out from these clues?
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.