Amy has a box containing domino pieces but she does not think it is a complete set. Register for our mailing list. Register for our mailing list. She has 24 dominoes in her box and there are spots on them altogether. You might like to arrange them in a circle.

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. Pebbles Age 7 to 11 Challenge Level: Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables. How many different ways can you do it? Four Go Age 7 to 11 Challenge Level: Can you prove it? Look at different ways of dividing things.

You could try for different numbers and different rules. All the Digits Age 7 to 11 Challenge Level: What could Lolla have paid for the balloon? Clocks Age 7 to 11 Challenge Level: Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

He could then pay any sum of money from 1p to 15p without opening any bag. What Do You Need?

Can you use what you’ve found out to predict the number for four red and two green? Try with different steps and see if you can predict what will happen. Lolla bought a balloon at the circus.

## Patterns and Sequences KS2

She arranged the cards into 6 unequal piles where each pile added to the same total. Can you replace the letters with numbers? Domino Square Age 7 to 11 Challenge Level: This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7.

Ip Dip Age 5 to 11 Challenge Level: Carrying Cards Age 7 to 11 Challenge Level: Multiply Multiples 3 Age aftivities to 11 Challenge Level: On a digital clock showing 24 hour time, solvint a whole day, how many times does a 5 appear? Age 7 to 11 Working Backwards at KS2 The upper primary tasks in this collection could each be solved by working backwards. On the planet Vuv there are two sorts of creatures. How many ways can you find to do up all four buttons on my coat?

## Problem-solving Skills

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? My number is both a multiple of 5 and a multiple of 6. Pick any ten numbers from the bags above so that their total is 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.

Now try with a stick of 8 cubes and a stick of 6 cubes.

Trebling Age 7 to 11 Challenge Level: Reach Age 7 to 14 Challenge Level: What do they mean? Can you find out where all the numbers have got to from these ten statements?

# Time KS2 :

How could you arrange at least two dice in a stack so that the total of the visible spots is 18? Four Go Age 7 to 11 Challenge Level: Choose a symbol to put into the number sentence. Imagine a pyramid which is built in square layers of small cubes.

The tasks in this collection encourage upper primary children to conjecture and generalise. This problem looks at the patterns on differently sized square grids.