Ordering Cards Age 5 to 11 Challenge Level: Can you put the numbers in the V shape so that both ‘arms’ have the same total? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction? His mother had a recipe for him to use. Play this game and see if you can figure out the computer’s chosen number. Age 7 to 11 Challenge Level:

How do you know if your set of dominoes is complete? Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? What Do You Need? Division Rules Age 7 to 11 Challenge Level: Reach Age 7 to 14 Challenge Level:

Three Dice Age 7 to 11 Challenge Level: Can you untangle what fractional part is represented by each of the shapes? 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. She has 24 dominoes in her box and there prbolem spots on them altogether.

Try with different steps and see if you can predict what will happen. Factor-multiple Chains Age 7 to 11 Challenge Level: She gave the clown six coins to pay for it.

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## Problem-solving Skills

Have a go at balancing this equation. Trebling Age 7 to 11 Challenge Level: Use the maps to work out the number of points each of their routes scores. Three Neighbours Age 7 to 11 Challenge Level: Jumping Age 7 to 11 Challenge Level: What questions would you like to ask? Money Bags Age 5 to 11 Challenge Level: Age 5 to 7 Visualising at KS1 These lower primary tasks all specifically draw on the use of visualising.

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.

## Patterns and Sequences KS2

Highest and Lowest Age 7 to 11 Challenge Level: In how many soving ways can you do it? Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line. Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

What numbers could be inside the envelopes? How might you show them in a picture, with things, with numbers and symbols?

# Addition and Subtraction KS2 :

Can you use the information to find out which cards I have used? How could you arrange at least two dice in a stack so that the total of the visible spots is 18? Fitted Age 7 to 11 Challenge Level: In the Money Age 7 to 11 Challenge Level: Patterns and Sequences KS2.

Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of How could he have put them into three piles so that the total nrjch each pile was 15? Counting Cards Age 7 to 11 Challenge Level: How could he have put them into three piles so that the total in each pile was 15?

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether! How many faces can you see when you arrange these three cubes in different ways?

Age 5 to 7 Working Backwards at KS1 The lower primary tasks in this collection could each be solved by working backwards. How about eolving largest possible numbers?