This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

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### Making Boxes

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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### Numerically Equal

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

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### Fitted

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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### Brush Loads

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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### Torn Shapes

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

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### Area and perimeter

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

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### Ribbon Squares

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

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### Through the Window

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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### Twice as Big?

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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*ou may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.*