Design an arrangement of display boards in the school hall which fits the requirements of different people. The idea is to go round the track in as few moves as possible, keeping to the rules. Can you work out the missing numbers? Can you work out the arrangement of the digits in the square so that the given products are correct? 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. Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach.

Follow the Numbers Age 7 to 11 Challenge Level: Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene. Magic Vs Age 7 to 11 Challenge Level: Are there some numbers that are good to aim for? 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. In this article for teachers, Lynne explains why it should be.

Can you find out where all the numbers have got to from these ten statements? Can you use the number sentences to work out what they are? How many times stagf they flash together during a whole minute?

Age 7 to 11 Reasoning and Convincing at KS2 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’.

The tasks in this collection can be used to encourage children to convince others of their reasoning, using ‘because’ statements. These sixteen children are standing in four lines of four, one behind the other.

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

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. Mystery Matrix Age 7 to 11 Challenge Level: The skills needed for a problem-solving task By this we mean the problem-solving skills listed prbolem in Stage 2: This cube has ink on each face which leaves marks on paper as it is rolled.

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. You could try for different numbers and different rules. Try with different steps and see if you can predict what will happen.

Sweets are given out to party-goers in a particular way.

## Problem-solving Skills

Is problem solving at the heart of your curriculum? This feature is somewhat larger than our usual features, but that is because it is packed with probkem to help you develop a problem-solving approach to the teaching and learning of mathematics. This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

Combining these different elements allows children to build their confidence, skills and resilience in solving problems. Reach Age 7 to 14 Challenge Level: Can you replace the letters with numbers?

The numbers 1 – 9 may be used pproblem and once only. Children will need support to develop their proficiency with written recording.

Place four pebbles on the sand in the form of a square. Register for our mailing list.

Multiples Grid Age 7 to 11 Challenge Level: Multiply Multiples 2 Age 7 to 11 Challenge Level: Use 4 four times with simple operations so that you get the answer The numbers 2 were used to generate it with just one number used twice. These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out. The planet of Vuvv has seven moons.

# Problem Solving :

Using the information given, can you replace the stars in the calculation with figures? Multiply Multiples 1 Age 7 to 11 Challenge Level: Think about the last few mathematics lessons you have taught.

This game can replace standard practice exercises on finding factors and multiples. Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach. 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.

Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience.