Tim had nine cards each with a different number from 1 to 9 on it. How many possible necklaces can you find? Each light in this interactivity turns on according to a rule. Got It Age 7 to 14 Challenge Level: Investigate how the four L-shapes fit together to make an enlarged L-shape.

This multiplication uses each of the digits 0 – 9 once and once only. What do you notice about the pink numbers? How about when a friend begins a new rhythm at the same time? Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. Making Boxes Age 7 to 11 Challenge Level: Can you fill in this table square? These lower primary tasks could all be tackled using a trial and improvement approach.

## Problem Solving

Age 7 to 11 Visualising at KS2 These upper primary tasks all specifically draw on the use of visualising. Maze Age 7 to 11 Challenge Level: Area and Perimeter Age 7 to 11 Challenge Level: The sum of the numbers inside sokving is written on each envelope. Can you find any two-digit numbers that satisfy all of these statements?

Given a target number, say 23, and a range of numbers to choose from, sayplayers take it in turns to add to the running total to hit their target. He could then pay any hrich of money from 1p to 15p without opening any bag. What is the largest ‘ribbon square’ you can make? How many cubes of each colour have we used? What happens if you join kw2 second point on this circle?

How many pennies did Ram put in each bag? Explore Alex’s number plumber.

# Working Systematically at KS2 :

Fifteen Cards Age 7 to 11 Challenge Level: Many opportunities to work in different ways. Can you prove it? You could investigate your own starting shape. Can you get four in a row? Katie had a pack of 20 cards numbered from 1 to Multiplication Squares Age 7 to 11 Challenge Level: How did he do it?

Journeys in Numberland Age 7 to 11 Challenge Level: A magician took a suit of thirteen cards and held them in his hand face down. Can you sort out the clues and find the number?

Are you surprised by the results? Multiplication Squares Age 7 probldm 11 Challenge Level: Factor Lines Age 7 to 14 Challenge Level: The numbers 1 – 9 may be used once and once only. How many different trains can you make? This game can replace standard practice exercises on finding factors and multiples.

# Area and Perimeter KS2 :

Multiply Multiples 1 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. How could you arrange at least two dice in a stack so that the total of the visible spots is 18? Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Each light in this interactivity turns on according to a rule.

What could Lolla have paid for the balloon?