Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
X is 5 squares
problem

X is 5 squares

Age
7 to 11
Challenge level
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Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
Calendar Cubes
problem

Calendar cubes

Age
7 to 11
Challenge level
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Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
Tri-Five
problem

Tri-five

Age
7 to 11
Challenge level
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Find all the different shapes that can be made by joining five equilateral triangles edge to edge.
Home Time
problem

Home time

Age
7 to 11
Challenge level
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Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.
Chocs, Mints, Jellies
problem

Chocs, mints, jellies

Age
7 to 11
Challenge level
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In a bowl there are 4 Chocolates, 3 Jellies and 5 Mints. Find a way to share the sweets between the three children so they each get the kind they like. Is there more than one way to do it?
Wallpaper Sudoku
problem

Wallpaper sudoku

Age
11 to 16
Challenge level
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A Sudoku that uses transformations as supporting clues.
9 Weights
problem

9 weights

Age
11 to 14
Challenge level
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You have been given nine weights, one of which is slightly heavier than the rest. Can you work out which weight is heavier in just two weighings of the balance?
Twin Equivalent Sudoku
problem

Twin equivalent sudoku

Age
16 to 18
Challenge level
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This Sudoku problem consists of a pair of linked standard Suduko puzzles each with some starting digits
Almost Constant Digits
problem

Almost constant digits

Age
11 to 14
Challenge level
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How many 10-digit numbers containing only 1s, 2s and 3s can you write?