How could you record what you’ve done? How many possible necklaces can you find? Can you convince us that you have found them all? Perhaps you can overlap them or put one outside another? Biscuit Decorations Age 5 to 7 Challenge Level: How many different ways can you find to join three equilateral triangles together?

There are three versions of this challenge. 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. First they were counting in twos. Clapping Times Age 5 to 7 Challenge Level: Age 5 to 11 Challenge Level: Annie and Ben are playing a game with a calculator.

These lower primary tasks all specifically draw on the use of visualising.

## Addition and Subtraction KS1

Half Time Age 5 to 11 Challenge Level: Use these head, body and leg pieces to make Robot Monsters which are different heights. How could I make a dark green rod using yellow and white rods? What Was in the Problme

Hidden Jewels Age 3 to 5 Saying how many there are without counting. Sweets are given out to party-goers in a particular way.

# Counting and Ordering KS1 :

Age 5 to 7 Conjecturing and Generalising at KS1 The tasks in this collection encourage lower primary children to conjecture and generalise. The idea is to go round the track in as few jumps as possible. Daisy was using beads that looked like solvimg and Akram was using cube bricks. Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Multiplication and Division KS1. This task requires learners to explain and help others, asking and answering questions. In how many different ways can they build their houses? And how do priblem know you’ve found them all? This problem looks at how one example of your choice can show something about the general structure of multiplication.

# Position and Direction KS1 :

A hundred square has been printed on both sides of a piece of paper. Noah Age 5 to 7 Challenge Level: On a farm there were some hens and sheep. Can you work out how to balance this equaliser?

Who said that adding couldn’t be fun? Number Detective Age 5 to 11 Challenge Level: Always, Sometimes or Never?

Number Rhymes Age 3 to 5 Counting down from 10 and up to 10 Saying how many there are altogether. Tangram Tangle Age 5 to 7 Challenge Level: Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’. Nricch activity focuses on doubling multiples of five.

Leah and Tom each have a number line. Use the clues to colour each square. What numbers of total spots can you make? What do you notice? Weighted Numbers Age 5 to 7 Challenge Level: The idea is to change the colour of all the spots on silving grid. This problem challenges you to find out how many odd numbers there are between pairs of numbers. How many possible necklaces can you find?