Pentagonal Age 14 to 16 Challenge Level: Which rod is twice the length of his first rod? Bottles 1 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. 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.

All in a Jumble Age 11 to 14 Challenge Level: Use the interactivity to move Mr Pearson and his dog. Age 5 to 7 Challenge Level: Measure problems at primary level that require careful consideration. Funnel Age 14 to 16 Challenge Level: Investigate how much popcorn each bag holds so find out which we might have bought. 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.

More Pebbles Age 7 to 11 Challenge Level: Three Cubes Age 14 to 16 Challenge Level: Watermelons Age 7 to 11 Challenge Level: Can you create a story that would describe the movement of the man shown on these graphs?

Arrange the numbers 1 to 6 in each set of circles below. Age 5 to 7 Challenge Level: Ordered Ways of Working Lower Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. What could measurs half time scores have been in these Olympic hockey matches?

Measure problems for primary learners to work on with others. What could each of the children buy with their money? Multiplying and Dividing Age 5 to 7 Try these problems, which are all about multiplying and dividing different numbers. This article, written for students, looks at how some measuring units and devices were developed.

The cone is inverted. But can you work out how many of each?

## Problem Solving

Cutting it Out Age 5 to 11 Challenge Level: Cubes Age 5 to 7 The activities in this feature all use interlocking cubes to help you think mathematically. The tasks in this collection encourage children to create, recognise, problen and explain number patterns. How Do You See It? Paradoxes Age 7 to 14 A paradox is a statement that seems to be both untrue and true at the same time.

# Measurement :

What numbers of total spots can you make? What about the silver medal winner and the bronze medal winner?

What nricch the smallest cuboid that you can put in this box so that you cannot fit another that’s the same into it? What’s the Problem with Problem Solving?

# Measuring and calculating with units :: Mass and weight :

Register for our mailing list. Jumping Squares Age 5 to 7 Challenge Level: What is the same? Birthday Cakes Age 5 to 7 Challenge Level: There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs.

Eggs in Baskets Age 5 to 7 Challenge Level: Pentagonal Age 14 to 16 Challenge Level: Shaping It Age 5 to 11 Challenge Level: Getting the Balance Age 5 to 7 Challenge Level: Bottles 2 Age 5 to 7 Challenge Level: Measure problems at primary level that require careful consideration. Msasures you see who the gold medal winner is?

How could you find out how long each piece is?