How long is the pool? Lengthy Journeys Age 7 to 11 Challenge Level: For this activity which explores capacity, you will need to collect some bottles and jars. In the second article, Jennie offers you practical ways to investigate aspects of your classroom culture and in the third article, she suggests three ways in which we can support children in becoming competent problem solvers. Paradoxes Age 7 to 14 A paradox is a statement that seems to be both untrue and true at the same time. Investigate the total number of sweets received by people sitting in different positions.

Start with the smallest. Maths Filler Age 11 to 14 Challenge Level: Find the Difference Age 5 to 7 Challenge Level: What would happen if you had different-sized block of cheese to start with? A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square.

Can you hang weights in the right place to make the equaliser balance? In this activity focusing on capacity, you will need a collection of different jars and bottles.

What questions would you like to ask? Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Start with nrch smallest.

# Measurement :

How many hens were there? Butterfly Flowers Age 5 to 7 Challenge Level: How can you change the volume but keep the surface area the same? 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. Can you rank these sets of quantities in order, from smallest to largest?

## Search by Topic

Add the Weights Age 7 to 11 Challenge Level: Age 5 to 7 Challenge Level: I cut this square into two different shapes. Wallpaper Age 5 to 7 Challenge Level: Can you find them? What can’t you make?

Unit Differences Age 5 to 7 Challenge Level: Can you move him so that the graph shows a curve? If the radius of the tubing used to make this stand is r cm, what is the volume of tubing used?

If I don’t have the size of cake tin specified in my recipe, will the size I do have be OK? What could each of the children buy with their money? Reach for Polydron Age 16 to 18 Challenge Level: Cubes Age 5 to 11 Challenge Level: Noah Age 5 to 7 Challenge Level: More Lower Primary Fractions Age 5 to 7. A investigation based on similar rectangles of different sixes.

# Measuring and calculating with units :: Length/distance :

What is the smallest cuboid that you can put in this box so that you cannot fit another that’s the same into it? You could investigate your own starting shape. Problek for our mailing list.

Find the exact volume of the tetrahedron. Multilink Cubes Age 7 to 11 Challenge Level: The fourth article builds on the third by discussing what we mean by problem-solving skills and how NRICH can help children develop these skills.

Make one big triangle so the numbers that touch on the small triangles add to Can You Do it Too? Spin the spinner and identify which jobs can be done with the measuring tool shown.

You’ll need a collection of cups for this activity.