How many different shaped boxes can you design for 36 sweets in one layer? What Do You Need? This dice train has been made using specific rules. Can you use what you’ve found out to predict the number for four red and two green? The upper primary tasks in this collection could each be solved by working backwards.

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Can you see any patterns? Making Rectangles Age 7 to 14 Challenge Level: Three Neighbours Age 7 to 11 Challenge Level: Then we build around that red cube with blue cubes and so on. Katie had a pack of 20 cards numbered from 1 to Now try with a stick of 8 cubes and a stick of 6 cubes.

Highest and Lowest Age 7 to 11 Challenge Level: Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. Use the cards to gather all the information you need.

You could try for different numbers and different rules. What are all the different possible answers? Prooblem you arrange the sweets so that no sweets of the same colour are next to each other in any direction? Nine-pin Triangles Age 7 to 11 Challenge Level: The sum of the numbers inside it is written on each envelope. Domino Sets Age 7 to 11 Challenge Level: Can you replace the letters with numbers? There is a clock-face where the numbers have become all mixed up.

# Problem Solving :

Can you get four in a row? Jennie outlines different ways in which learners might get started on a task stage 1but it is probldm they have got going and are working on the problem stage 2 that children will be making use of their problem-solving skills.

And how do you know you’ve found them all? This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.

## Patterns and Sequences KS2

How many different triangles can you make on a circular pegboard that has nine pegs? Try with different steps and see if you can predict what will happen. Pick any ten numbers from the bags above so that their total is Can you picture it in your head? How about if I had five buttons? This article builds on Jennie’s. 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

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. Age 5 to 7 Conjecturing and Generalising at KS1 The tasks in this collection encourage lower primary children to conjecture and generalise. Digging deeper Stage 4: Can you find any two-digit numbers that satisfy all of these statements?

Investigate the different shaped bracelets you could make from 18 different spherical beads. This challenge involves eight three-cube models made from interlocking cubes.

What do we mean by ‘problem-solving skills’? How many other arrangements of four cubes can you find? Find the chain which contains the smallest possible numbers. Pick any ten numbers from the bags above so that their total is What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

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

In this article for teachers, Lynne explains why it should be. Investigate the total number of sweets received by people sitting in different positions. Round a Hexagon Age 7 to 11 Challenge Level: