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Explore and Explain

We hope you will enjoy playing with the problems in this feature. Take time to explore the activities, and then think about the mathematical ideas that emerge. Whether it's the start of your academic year or the beginning of a vacation, we hope there is something to inspire you.

 

First Connect Three
problem
Favourite

First Connect Three

Age
7 to 11
Challenge level
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Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Treasure Hunt
problem
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Treasure Hunt

Age
7 to 14
Challenge level
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Nicola's Jigsaw
problem

Nicola's Jigsaw

Age
11 to 14
Challenge level
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Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?
Connect Three
problem
Favourite

Connect Three

Age
11 to 16
Challenge level
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In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Iffy logic
problem
Favourite

Iffy logic

Age
14 to 18
Challenge level
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Can you rearrange the cards to make a series of correct mathematical statements?
3D Treasure Hunt
problem

3D Treasure Hunt

Age
14 to 18
Challenge level
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Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
From Playing to Explaining
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From Playing to Explaining

Age
5 to 11
The tasks in this feature encourage you to play and explore, then think deeply about the mathematical ideas underneath.