Here are three views of the cube. How many cubes of each colour have we used? Investigate constructible images which contain rational areas. Christmas Presents Age 7 to 11 Challenge Level: Egyptian Rope Age 7 to 11 Challenge Level: How many other arrangements of four cubes can you find?

Half Time Age 5 to 11 Challenge Level: Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. What is the largest ‘ribbon square’ you can make? This problem invites you to build 3D shapes using two different triangles. This practical problem challenges you to make quadrilaterals with a loop of string. Within ks2 writing drawing, texture, quadrilaterals, key.

Rotcelfer Age 7 to 11 Challenge Level: The same spiropath is iterated. Use the interactivity to check your visualisation.

nrich problem solving ks2 shape

What can you say about these shapes? How do you know? Here are four cubes joined together.

3d shape problem solving ks1

One hint suggests starting from an ‘end’ of the solve, but however the problem is approached, there is no doubt that the relative positions of the cubes must be considered. Stick Images Age 7 to 14 Challenge Level: Become a Member 30 seconds to join, infinite time to be saved.


nrich problem solving ks2 shape

Register for our mailing list. Where can you put the mirror across the square so that you can still “see” the whole square? What can you see? What do you notice? Then we build around that red cube with blue cubes and so on.

Visualising at KS2

How many different squares can you make altogether? You suape investigate your own starting shape. Draw three equal line segments in a unit circle to divide the circle into four parts of equal area.

This problem invites you to build 3D shapes using two different triangles. An environment that enables you to investigate tessellations of regular polygons. What is the same and what is different about these circle questions? How can we as teachers begin to introduce 3D ideas to young children?

What Do You Need?

Shape Times Shape :

This shape comprises four semi-circles. This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

How efficiently can you pack together disks? To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.


How could you find out the area of a circle? Use solvihg interactivity to check your visualisation. Sally and Ben were drawing shapes in chalk on the school playground.

Try with other numbers of cubes as well. Each of these solids is made up with 3 squares and a triangle around each vertex. Bicentric Pdoblem Age 14 to 16 Challenge Level: Use the information on these cards to draw the shape that is being described.

Working Systematically at KS2

Can you work out what they are from the multiplications below? Hi loulou, Thanks for letting us know. Are there some numbers that are good to aim for?