How many different shaped boxes can you design for 36 sweets in one layer? Age 7 to 11 Challenge Level: Pick any ten numbers from the bags above so that their total is Reach Age 7 to 14 Challenge Level: This problem looks at the patterns on differently sized square grids.

Can you draw them on dotty paper? Making Cuboids Age 7 to 11 Challenge Level: The tasks in this collection encourage children to create, recognise, extend and explain number patterns. How could you arrange at least two dice in a stack so that the total of the visible spots is 18? How many different shapes can you make by fitting the four triangles back together? Half Time Age 5 to 11 Challenge Level: Try out some calculations.

Can you discover its value in each problem? Dice in a Corner Age 7 to 11 Challenge Level: This task develops spatial reasoning skills. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

The tasks nricj this collection encourage upper primary children to conjecture and generalise. This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles. Multiplication and Division KS2. Trebling Age 7 to 11 Challenge Level: Can you find the smallest number that lights up all four lights?

These upper primary tasks could all be tackled using a trial and improvement approach. Can you continue this pattern of triangles and begin to predict how many sticks are used for each new “layer”? How many other arrangements of four cubes can you find?

## Problem Solving

Is it the same number for a 12 solvijg clock over a whole day? 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. Count the Digits Age mzths to 11 Challenge Level: Buying a Balloon Age 7 to 11 Challenge Level: Trebling Age 7 to 11 Challenge Level: This task requires learners to explain and help others, asking and answering questions.

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the brich, trying to get a line of three.

Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene.

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

Age 7 to 11 Challenge Level: How could you put these three beads into bags? Ordered Ways of Working Upper Solvinv These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.

How do you know if your set of dominoes is complete? Rotcelfer Age 7 to 11 Challenge Level: You are organising a school trip and you need to write a letter to parents to let them know about the day.

They are each holding a card with a number on it. Play this game and see if you can figure out the computer’s chosen number. What shape is the overlap when you slide one of these shapes half way across another?

Can you make 15, 16 and solvingg too? Can you use the number sentences to work out what they are? Use the isometric grid paper to find the different polygons.

Mystery Matrix Age 7 to 11 Challenge Level: Counting Cogs Age 7 to 14 Challenge Level: Can you work out the arrangement of the digits in the square so that the given products are correct?