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. Clapping Times Age 5 to 7 Challenge Level: What Is the Question? 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. Keep adding as few pebbles as necessary to double the area.

Multiplication and Division KS2 Age 7 to 11 The tasks in this collection encourage upper primary children to look deeper at multiplication and division. Irrational Arithmagons Age 16 to 18 Challenge Level: Number and Calculation Age 5 to 11 These articles will support primary teachers as they develop children’s understanding of number and calculation. Long Multiplication Age 11 to 14 Challenge Level: How many extra pebbles are added each time? I’m Eight Age 5 to 11 Challenge Level: What Is the Question?

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? Think Plan Communicate Mathematically Age 5 to Can you make sense of them?

Factor track is not a race but a game of skill. Keep adding as few pebbles as necessary to double the area. This activity focuses on doubling multiples of five.

This multiplication uses each of the digits 0 – 9 once and once only. How would you find out how many football cards Catrina has collected?

Multiples Grid Age 7 to 11 Challenge Level: Can you stop your partner from being able to go?

## Multiplication and Division KS2

Use Excel to explore multiplication of fractions. What happens for other sizes? Can you reconstruct the original multiplication? Tom and Ben visited Numberland. If you know the numbers that come out, what multiplication might be going on in the box? Multiplication and Division Multiplivation tasks will help you to think about multiplication and division.

# Multiplying decimals investigation

Age 5 to 7 Challenge Level: The numbers 1 – 9 may be used once and once only. Your Solutions Age 5 to Age 7 to 11 Challenge Level: Keep adding as few pebbles as necessary to double the area.

Zios and Zepts Age 7 to 11 Challenge Level: This feature draws together tasks which give learners opportunities to reason for different purposes. Is there only one solution in each case? Investigate what happens if we create number patterns using some simple rules.

Can you complete this jigsaw of the multiplication square? This problem challenges you to find out how many odd numbers there are between pairs of numbers. Who said that adding, subtracting, multiplying and dividing couldn’t ptoblem fun?

The Zios have 3 legs and the Zepts have 7 legs. 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 Are these statements relating to odd and even numbers always true, sometimes true or never true? What happens if you make a sequence adding 2 each time?

What do you notice about the pink numbers?

Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. What’s All the Talking About?