Can you complete this jigsaw of the multiplication square? Can you sort out the clues and find the number? Dicey Operations for an adult and child. Use your knowledge of place value to beat your opponent. It starts with 1 and ends with What happens when you add a three digit number to its reverse? Reach Age 7 to 14 Challenge Level:

Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. Move the first digit to the end and move the rest along. Given that there were just four candidates and that the figures quoted were exact find the number of votes polled for each candidate. Our Numbers Age 5 to 7 Challenge Level: Design an arrangement of display boards in the school hall which fits the requirements of different people. Big Powers Age 11 to 16 Challenge Level: Magic Vs Age 7 to 11 Challenge Level:

## Working Systematically at KS2

How many possible necklaces can you find? This dice train has been made using specific rules. It is the sort of problem that needs thinking time – but once the connection is made it gives access to many similar ideas.

Working Systematically at KS2. Can you work out what is on each face and the route it has taken? pfoblem

# Numbers and the Number System :: Comparing and Ordering numbers :

What could Lolla have paid for the balloon? Sixty-seven Squared Age nricy to 18 Challenge Level: What could the half time scores have been in these Olympic hockey matches?

Use the differences to find the solution to this Sudoku. This square jigsaw is written in code. Three people chose this as a favourite problem. What do you notice?

Now add your two numbers. Who said that adding, subtracting, multiplying and dividing couldn’t be fun? Some of the numbers have fallen off Becky’s number line.

There are 78 prisoners in a square cell block of twelve cells. What is the minimum number of small cards that is needed?

Factor Lines Age 7 to 14 Challenge Level: These interactive dominoes can be dragged around the screen. Carrying Cards Age 7 to 11 Challenge Level: Now work together to decide in whose cells the numbers should sokving placed, and where.

## Place Value KS2

The Number Jumbler can always work out your chosen symbol. The clever prison warder arranged them so there were 25 along each wall of the prison block. Nice or Nasty Age 7 to 14 Challenge Level: All the Digits Age 7 to 11 Challenge Level: Two-digit Targets Age 5 to ls2 Challenge Level: It is about understanding tens and units.

Take turns to roll the dice and decide which of plade four boxes to fill. 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.

Look at the changes in results on some of the athletics track events at the Olympic Games in and Powers of numbers behave in surprising ways. Age 5 to 7 Challenge Level: Can you provide convincing evidence for your rankings? Age 7 to 11 Challenge Level: