How could you put these three beads into bags? Two Dice Age 5 to 7 Challenge Level: In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts. Ahmed is making rods using different numbers of cubes. How are they related?

Can you provide convincing evidence for your rankings? In this article for teachers, Lynne explains why it should be. Tasks for KS2 children which focus on working systematically. According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Eggs in Baskets Age 5 to 7 Challenge Level: Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene. Ben and his mum are planting garlic.

Can you put these shapes in order of size? A box has faces with areas 3, 12 and 25 square centimetres.

## Estimating, Comparing, Measuring KS1

Robot Monsters Age 5 to 7 Challenge Level: The builders have dug a hole in the ground to be filled with concrete for the foundations of our garage. Mouhefanggai Age 14 to 16 Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes.

Nrjch formulae are often quoted, but rarely proved. Altogether there were 8 heads and 22 feet.

Compare the Cups live Age 5 to 7 Challenge Level: Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Measure problems at primary level that require careful consideration.

# Problem Solving :

The cylinder must be closed off by a circle at each end. Age 5 to 7 Challenge Level: Can you lay out the pictures of the drinks in the way described by the clue cards?

What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces? Bottles 1 Age 5 to 7 Challenge Level: Can you help relabel them? To support this aim, sollving of the NRICH team work in a wide range of capacities, measuree providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Use the interactivity to help you find out how many cloves of garlic they might have had. Discuss and Choose Age 5 to 11 Challenge Level: Window Frames Age 5 to 14 Challenge Level: The challenge for you is to make a string of six or more!

Talk to your friends about how you work them out. My measurements have got all jumbled up!

Use the number weights to find different ways of balancing the equaliser. Zin Obelisk Age 11 to 14 Challenge Level: Investigate how much popcorn each bag holds so find out which we might have bought. What is the volume of the tetrahedron?

Strike it Out Age 5 to 11 Challenge Level: Use these head, body and leg pieces to make Measuress Monsters which are different heights. Can you sketch graphs to show how measjres height of water changes in different containers as they are filled?

Can you provide convincing evidence for your rankings? Swimmers Age 14 to 16 Challenge Level: Domino Sorting Age 5 to 7 Challenge Level: Efficient Cutting Age 11 to 14 Challenge Level: This feature brings together tasks which make use of interlocking cubes.