This is part of our collection of favourite rich tasks arranged by topic.
If you are a teacher, you can find the whole collection on our Primary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Primary Curriculum student page.
How would you move the bands on the pegboard to alter these shapes?
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.
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Use the information on these cards to draw the shape that is being described.
Are these statements always true, sometimes true or never true?
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Can you draw a square in which the perimeter is numerically equal to the area?
Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
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?
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?
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
A task which depends on members of the group noticing the needs of others and responding.
