Age 11 to 14 Challenge Level: Multiplication Square Age 14 to 16 Challenge Level: Find the identity and the inverse of the element x. Four Go Age 7 to 11 Challenge Level: Jane accidentally multiplied by 54 instead of 45, and her answer was too big.

Ordering Cards Age 5 to 11 Challenge Level: Can you predict when you’ll be clapping and when you’ll be clicking if you start this rhythm? Carrying Cards Age 7 to 11 Challenge Level: 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. Method in Multiplying Madness?

How many different shaped boxes can you design for 36 sweets in one layer? Can you complete this jigsaw of the multiplication square?

# Problem Solving :

Place four pebbles on the sand in the form of a square. Frances and Rishi were given a bag of lollies. Then we build around that red cube with blue cubes and so on. On Friday the magic plant was only 2 centimetres tall. From Objects and Images to Mathematical Ideas Age 5 to 18 This article looks at how images, concrete apparatus and representations can help students develop deeper understandings of abstract mathematical ideas.

Can you find some more abundant numbers? What happens when you enter different numbers?

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. How many Zios and how many Zepts were there?

## Multiplication and Division KS1

These lower primary tasks all specifically draw on the use of visualising. Age 5 to Multiplication and Division KS1. This problem looks at the patterns on differently sized square grids. They shared them out evenly and had one left over.

Ranging from kindergarten mathematics to the fringe of research this informal article paints the big picture of number in a non technical way suitable for primary teachers and older students. What do you think is happening to the numbers?

# Multiplication and Division KS2 :

This activity is best done with a whole class or in a large group. Throw the dice and decide whether to double or halve the number. Which is quicker, counting up to 30 in ones or rpoblem up to in tens? What Do You Need? The tasks in this collection encourage lower primary children to conjecture and generalise.

I’m Eight Age 5 to kss2 Challenge Level: Use Excel to explore multiplication of fractions. This article looks at how images, concrete apparatus and representations can help students develop deeper understandings of abstract mathematical ideas.

This feature draws together tasks which give learners opportunities to reason for different purposes.

Age 5 to Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Does the pattern continue? Clapping Times Age 5 to 7 Challenge Level: Place four pebbles on the sand in nrjch form of a square. Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene.

Factor track is not a race but a game of skill. Multiples Grid Age 7 to 11 Challenge Level: Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even Here is a chance to play a version of the classic Countdown Game.