Are there some numbers that are good to aim for? Inky Cube Age 7 to 14 Challenge Level: Look at the mathematics that is all around us – this circular window is a wonderful example. Lolla bought a balloon at the circus. A square of area 40 square cms is inscribed in a semicircle. Can you see which pieces go together? The problem context shape a need for children to use positional language.

Half Time Age 5 to 11 Challenge Level: Quadrilaterals Age 7 to 11 Challenge Level: We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Egyptian Rope Age 7 to 11 Challenge Level: What is the exact radius of the smallest circle? Become a Member 30 seconds to join, infinite time to be saved.

Can you dissect an equilateral triangle into 6 smaller ones? Investigate how the four L-shapes nrifh together to make an enlarged L-shape. Your challenge is to find out how to cut them to make different shapes for printing. What happens if you join every second point on this circle?

Become a Member 30 seconds to join, infinite time to be saved. 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.


nrich problem solving ks2 shape

What is the exact radius of the smallest circle? Investigate the different shaped bracelets you could make from 18 different spherical beads. Age 7 to 11 Challenge Level: Rotcelfer Age 7 to 11 Challenge Level: A task which depends on members of the group working collaboratively to reach a single goal.

Shape Times Shape

Smaller circles touch it and the sides of the triangle, the process continuing mrich. Baravelle Age 7 to 16 Challenge Level: Here are some pictures of 3D shapes made from cubes. First, where the crime, texture, word problems notebook zipped; welcome to when tackling these two sheets about homework help websites.

She gave the clown six coins to pay for it. What number of smaller equilateral triangles is it NOT possible to ls2 a larger equilateral triangle into?

nrich problem solving ks2 shape

Players take it in turns to choose a dot on the grid. Suitable for KS1 or 2. Asking questions such as ‘Is there a cube to the right of this one? Use the isometric grid paper to find the different polygons.

How would you turn at each junction? Using the information given, can you replace the stars in the calculation with figures?

3d shape problem solving ks1

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!


We need to wrap up this cube-shaped present, remembering that we can have no overlaps. Do they all have the same volume?

This practical problem challenges you to make quadrilaterals with a loop of string. Four of these clues are needed to find the chosen shqpe on this grid and four are true but do nothing to help in finding the number.

Area and Perimeter KS2 :

I’ve made some cubes and some cubes with holes in. Can you see any patterns? Bicentric Quadrilaterals Age 14 to 16 Challenge Level: Sweets in a Box Age 7 to 11 Challenge Level: One hint suggests starting from an ‘end’ of the solve, but however the problem shapee approached, there is no doubt that the relative positions of the cubes must be considered.

Sponge Sections Age 7 to 11 Challenge Level: Try with other numbers of cubes as well.

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