### NRICH PROBLEM SOLVING KS2 NUMBER

Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. Trebling Age 7 to 11 Challenge Level: Fifteen Cards Age 7 to 11 Challenge Level: Is there only one solution in each case? Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

Where would be the best place for each child in the class to sit if they came in one at a time? Count the Digits Age 5 to 11 Challenge Level: Look at different ways of dividing things. Can you build it up? Tumbling Down Age 7 to 11 Challenge Level: There are 78 prisoners in a square cell block of twelve cells.

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.

## Reasoning and Convincing at KS2

Choose two of the numbers to multiply or divide, then mark your answer on the number line. Register for our mailing list. How did he do it?

Cycling Squares Age 7 to 11 Challenge Level: Fair Feast Age 5 to 11 Challenge Level: Can you work out how long it is between each super-eclipse? On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear?

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. How many different ways can you do it? Is it the same number for a 12 hour aolving over a whole day?

# Working Systematically at KS2 :

Factor track is not a race but a game of skill. Use the cards to gather all the information you need. What questions would you like to ask?

Number Match Age 5 to 11 Challenge Level: Design an arrangement of display boards in the school hall which fits the requirements of different people.

How many possible necklaces can you find? Reasoning and Convincing at KS2. Zios and Zepts Age 7 to 11 Challenge Level: Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience.

What is the largest ‘ribbon square’ you can make? This feature draws together tasks which give nnumber opportunities to reason for different purposes.

A game for two people, or play online. Always, Sometimes or Never? A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Age 5 to 7 Working Backwards at KS1 The lower primary tasks in this collection could each be solved by working backwards. Use the information to find out what the three numbers were.

## Multiplication and Division KS2

Make 37 Age 7 to 14 Challenge Level: The numbers 2 were used to generate it with just one number used twice. Three Neighbours Age 7 to 11 Challenge Level: Tasks for KS2 children which focus on working systematically. Can you soving the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

The sum of the numbers inside it is written on each envelope. Can you find out where all the numbers have got to from these ten statements? Tom and Ben visited Numberland. Pick any ten numbers from the bags above so that their total is