Working systematically

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Peg and pin boards

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

Age

7 to 11

Challenge level

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
problem
The dice train

Age

7 to 11

Challenge level

This dice train has been made using specific rules. How many different trains can you make?
problem
Cover the tray

Age

7 to 11

Challenge level

These practical challenges are all about making a 'tray' and covering it with paper.
problem
Difference Sudoku

Age

14 to 16

Challenge level

Use the differences to find the solution to this Sudoku.
problem
Greater than or less than?

Age

7 to 11

Challenge level

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
problem
Sums and differences 2

Age

7 to 11

Challenge level

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?
problem
Sums and differences 1

Age

7 to 11

Challenge level

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
problem
Unit differences

Age

5 to 7

Challenge level

This challenge is about finding the difference between numbers which have the same tens digit.
problem
Round the dice decimals 1

Age

7 to 11

Challenge level

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?