Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings? This game is part of our creativity project, which you can read more about here.

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This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

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In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

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What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

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How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

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These rectangles have been torn. How many squares did each one have inside it before it was ripped?

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Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

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Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

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These clocks have been reflected in a mirror. What times do they say?

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The challenge for you is to make a string of six (or more!) graded cubes.

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My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

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Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

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Can you put these mixed-up times in order? You could arrange them in a circle.

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Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

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Can you draw a square in which the perimeter is numerically equal to the area?

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Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

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A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

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Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

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On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

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During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

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