Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
Hubble, bubble
problem

Hubble, bubble

Age
7 to 11
Challenge level
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Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
Magic W
problem

Magic w

Age
14 to 16
Challenge level
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Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.

A right Charlie
problem

A right charlie

Age
7 to 11
Challenge level
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Can you use this information to work out Charlie's house number?
Shunting Puzzle
problem

Shunting puzzle

Age
7 to 11
Challenge level
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Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
Pasta Timing
problem

Pasta timing

Age
7 to 11
Challenge level
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Nina must cook some pasta for 15 minutes but she only has a 7-minute sand-timer and an 11-minute sand-timer. How can she use these timers to measure exactly 15 minutes?
LOGO Challenge - Triangles-Squares-Stars
problem

Logo challenge - triangles-squares-stars

Age
11 to 16
Challenge level
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Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.
1 to 8
problem

1 to 8

Age
7 to 11
Challenge level
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Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
Fly Away
problem

Fly away

Age
11 to 14
Challenge level
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Can you work out the values of the digits in this addition sum?
Dicey Directions
problem

Dicey directions

Age
14 to 16
Challenge level
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An ordinary die is placed on a horizontal table with the '1' face facing East... In which direction is the '1' face facing after this sequence of moves?
Coins
problem

Coins

Age
11 to 14
Challenge level
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A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?