### NRICH PROBLEM SOLVING KS2 NUMBER

This challenge is a game for two players. Register for our mailing list. Number Match Age 5 to 11 Challenge Level: Can you put the numbers in the V shape so that both ‘arms’ have the same total? The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’. How about the largest possible numbers? Look at three ‘next door neighbours’ amongst the counting numbers.

This problem looks at the patterns on differently sized square grids. Can you find out where all the numbers have got to from these ten statements? These practical challenges are all about making a ‘tray’ and covering it with paper. Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game. Sealed Solution Age 7 to 11 Challenge Level: You have two sets of the digits 0 — 9.

There are 78 prisoners in a square cell block of twelve cells. The upper primary tasks in this collection could each be solved by working backwards. Age 7 to 11 Conjecturing and Generalising at KS2 The tasks in this collection encourage upper primary children to conjecture and generalise. 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.

What’s in the Box? Reach Age 7 to 14 Challenge Level: What do they mean? Can you sort out the clues and find the number? Investigate the total number of sweets received by people sitting in different positions.

A task which depends on members of the group noticing the needs of others and responding. This cube has ink on each face which leaves marks on paper as it is rolled. Trebling Age 7 to 11 Challenge Level: Can you use the number sentences to work out what they are?

Can you compare these nrch with nunber other and express their lengths as fractions of the black bar?

Tea Cups Age 7 to 14 Challenge Level: Magic Vs Age 7 to 11 Challenge Level: This big box multiplies anything that goes inside it by the same number. They are each holding a card with a number on it.

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. This challenge combines addition, multiplication, perseverance and even proof.

# Fractions KS2 :

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? Which route has the smallest product?

Are there some numbers that are good to aim for? Age 7 to 11 Challenge Level: Can you see any patterns? Cover the Tray Age nric to 11 Challenge Level: How many pennies did Ram put in each bag? Can you work out how long it is between each super-eclipse? These lower primary tasks could all be tackled using a trial and improvement approach.

## Place Value KS2

Play to 37 Age 7 to 11 Challenge Level: A magician took a suit of thirteen cards and held them in his hand face down. How many shapes can you build from three red and two green cubes? To support this aim, members of the NRICH team work in a wide range of capacities, lroblem providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Addition and Subtraction KS2. 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.