### NRICH PROBLEM SOLVING KS2 NUMBER

How about if I had five buttons? Inky Cube Age 7 to 14 Challenge Level: Amy has a box containing domino pieces but she does not think it is a complete set. Which pairs do not let this happen? 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. Fractional Triangles Age 7 to 11 Challenge Level:

What could Lolla have paid for the balloon? 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. The idea is to go round the track in as few moves as possible, keeping to the rules. 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. Investigate this balance which is marked in halves.

There are nasty versions of this dice game but we’ll start with the nice ones What happens when you round these numbers to the nearest whole number? Three Neighbours Age 7 to 11 Challenge Level: Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction? Think of a number, square it and subtract your starting number.

Look at what happens when you take a number, square it and subtract your answer. Investigate the total number of sweets received by people sitting in different positions.

Register for our mailing list. Choose two of the numbers to multiply or divide, then mark your answer on the number line.

# Addition and Subtraction KS2 :

Carrying Cards Age 7 to 11 Challenge Level: These upper primary tasks all specifically draw on the use of visualising. Can you go through this maze so that the numbers you pass add to exactly ? My number is both a multiple of 5 and a multiple of 6. Can you replace the letters with numbers?

Cover the Tray Age 7 to 11 Challenge Level: Can you find the smallest number that lights up all four lights? If we number the cubes from the top, starting with 1, can you picture which probem are directly below this first cube? Can you put the numbers in the V shape so that both ‘arms’ have the same total?

Each child in Class 3 took four numbers out of the bag. Forgot the Numbers Age 7 to 11 Challenge Level: What is the maximum possible score?

Can you fill in this table square? Given a target number, say 23, and a porblem of nroch to choose from, sayplayers take it in turns to add to the running total to hit their target.

Four bags contain a large number of 1s, 3s, 5s and 7s. Ten cards are put into five envelopes so that there are two cards in each envelope.

## Multiplication and Division KS2

This task combines spatial awareness with addition and multiplication. Money Bags Age 5 to 11 Challenge Level: How did this work?

She gave the clown six coins to pay for it. This task offers opportunities to subtract fractions using A4 paper. Four bags contain a ;roblem number of 1s, 3s, 5s and 7s.

# Working Systematically at KS2 :

Display Boards Age 7 to 11 Challenge Level: Age 5 to 7 Reasoning and Convincing at Dolving The tasks in this collection can be used to encourage children to convince others of their reasoning, using ‘because’ statements. Can you work out what is on each face and the route it has taken? Fraction Lengths Age 7 to 11 Challenge Level: Now kz2 with a stick of 8 cubes and a stick of 6 cubes.

The sum of the numbers inside it is written on each envelope.