Working systematically

There are 549 NRICH Mathematical resources connected to Working systematically
School fair necklaces
problem

School fair necklaces

Age
5 to 11
Challenge level
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How many possible symmetrical necklaces can you find? How do you know you've found them all?
Number Daisy
problem

Number Daisy

Age
11 to 14
Challenge level
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Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Peg and Pin Boards
article

Peg and Pin Boards

This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
Ribbon Squares
problem

Ribbon Squares

Age
7 to 11
Challenge level
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What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
The Dice Train
problem

The Dice Train

Age
7 to 11
Challenge level
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This dice train has been made using specific rules. How many different trains can you make?
Cover the tray
problem

Cover the tray

Age
7 to 11
Challenge level
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These practical challenges are all about making a 'tray' and covering it with paper.
Difference Sudoku
problem

Difference Sudoku

Age
14 to 16
Challenge level
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Use the differences to find the solution to this Sudoku.
Greater Than or Less Than?
problem

Greater Than or Less Than?

Age
7 to 11
Challenge level
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Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Sums and Differences 2
problem

Sums and Differences 2

Age
7 to 11
Challenge level
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Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
Sums and Differences 1
problem

Sums and Differences 1

Age
7 to 11
Challenge level
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This challenge focuses on finding the sum and difference of pairs of two-digit numbers.