What kind of number do you get? The idea is to go round the track in as few moves as possible, keeping to the rules. What can you say about these shapes? These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. These upper primary tasks all specifically draw on the use of visualising. Shaping It Age 5 to 11 Challenge Level: How many different squares can you make altogether?

A game for two people, or play online. This multiplication uses each of the digits 0 – 9 once and once only. These lower primary tasks could all be tackled using a trial and improvement approach. Prison Cells Age 7 to 11 Challenge Level: Age 7 to 11 Conjecturing and Generalising at KS2 The tasks in this collection encourage upper primary children to conjecture and generalise. Roll two red dice and a green dice. How many different triangles can you make on a circular pegboard that has nine pegs?

Using the information given, can you replace the stars in the calculation with figures? Use the information to find out how many there were in the bag originally. Cycling Squares Age 7 to 11 Challenge Level: Digging deeper Stage 4: Given a target number, say 23, and a range of numbers to choose from, sayplayers take it in turns to add to the running kw2 to hit their target.

Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction? What is problrm largest ‘ribbon square’ you can make? These lower primary tasks all specifically draw on the use of visualising.

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

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. Area and Perimeter KS2.

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Factor Track Age 7 to 14 Challenge Level: These eleven shapes each stand for a different number.

Solvig happens when you add the digits of a number then multiply the result by 2 and you keep doing this? Have a go at this well-known challenge.

# Working Systematically at KS2 :

What happens when you enter different numbers? Age 5 to 7 Conjecturing and Generalising at KS1 The tasks in this collection encourage lower primary children to conjecture and generalise. How many shapes can you build from three red and two green cubes?

Multiply Multiples 1 Age 7 to 11 Challenge Level: Is problem solving at the heart of your curriculum? The winner is the first to make the total What’s in the Box? Square Subtraction Age 7 to 11 Challenge Level: They are each holding a card with a number on it. Prison Cells Age 7 to 11 Challenge Level: This big box multiplies anything that goes inside it by the same number.

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.

## Problem Solving

Buying a Prroblem Age 7 to 11 Challenge Level: Tea Cups Age 7 to 14 Challenge Level: Factor track is not a race but a game of skill. Pebbles Age 7 to 11 Challenge Level: Can you find out where all the numbers have got to from these ten statements?

Register for our mailing list. Age 7 to 11 Sloving Backwards at KS2 The upper primary tasks in this collection could each be solved by working backwards. What do they mean?