Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Dice in a Corner Age 7 to 11 Challenge Level: Is it the same number for a 12 hour clock over a whole day? Amy’s Dominoes Age 7 to 11 Challenge Level: In the second article, Jennie offers you practical ways to investigate aspects of your classroom culture and in the third article, she suggests three ways in which we can support children in becoming competent problem solvers.

In particular, it explains what we mean by ‘problem-solving skills’ and aims to give further guidance on how we can help learners to develop these skills by highlighting relevant NRICH tasks. Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number. Working backwards can be a very useful problem-solving skill. This cube has ink on each face which leaves marks on paper as it is rolled. What do you notice? Finding All Possibilities Upper Primary These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out. How about every third point?

# Using NRICH Tasks to Develop Key Problem-solving Skills :

Ordering Cards Age 5 to solcing Challenge Level: The idea is to go round the track in as few moves as possible, keeping to the rules. Can you discover its value in each problem? Multiplication Squares Age 7 to 11 Challenge Level: Choose four different digits from and put one in each box so that nricy resulting four two-digit numbers add to a total of The idea is to go round the track in as few moves as possible, keeping to the rules.

How many extra pebbles are added each time? Explore Alex’s number plumber.

Scroll down to see our complete collection of KS2 problems that require children to work systematically, or explore the two prblem focusing on important aspects of systematic working.

Nice or Nasty Age 7 to 14 Challenge Level: These lower primary tasks all specifically draw on the use of visualising.

How many shapes can you build from nrlch red and two green cubes? Can you work out the arrangement of the digits in the square so that the given products are correct? Who said that adding couldn’t be fun?

## Multiplication and Division KS2

This article offers you practical ways to investigate aspects of your classroom culture. Age 7 to 11 Working Backwards at KS2 The upper primary tasks in this collection could each be solved by working backwards.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only? She has 24 dominoes in her box and there are spots on them altogether. Age 5 to 7 Visualising at KS1 These lower primary tasks all specifically draw on the use of visualising.

Can you order 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? This challenge is a game for two players.

How many times do they flash together during a whole minute? Tom and Ben visited Numberland. An investigation involving adding and subtracting sets of consecutive numbers.

How many different trains can you make? Factor Lines Age 7 to 14 Challenge Level: Beads and Bags Age 5 to 11 Challenge Level: Think of a number, square it and subtract your starting number. Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? There are nasty versions of this dice game but we’ll start with the nice ones How could you record what you’ve done? Mystery Matrix Age 7 to 11 Challenge Level: Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach.

Sweets in a Solvnig Age 7 to 11 Challenge Level: These sixteen children are standing in four lines of four, one behind the other. Does it matter if you go first or second? What could the half time scores have been in these Olympic hockey matches?