Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’. Four-digit Targets Age 7 to 11 Challenge Level: Ram divided 15 pennies among four small bags. What’s the smartest way to do it? Can you find out where all the numbers have got to from these ten statements? Can you prove it?

Amy’s Dominoes Age 7 to 11 Challenge Level: These eleven shapes each stand for a different number. Nine-pin Triangles Age 7 to 11 Challenge Level: Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of Use 4 four times with simple operations so that you get the answer Nice or Nasty Age 7 to 14 Challenge Level: What could Lolla have paid for the balloon?

Use the maps to work out the number of points each of their routes scores. Every card he revealed had the same value as the one he had just pronlem spelling. Here is a picnic that Petros and Michael are going to share equally.

# Working Systematically at KS2 :

The upper primary tasks in this collection could each be solved by working backwards. What could the half time scores have been in these Olympic hockey matches? What do nric think is happening to the numbers? Journeys in Numberland Age 7 to 11 Challenge Level: These lower primary tasks could all be tackled using a trial and improvement approach. This challenge combines addition, multiplication, perseverance and even proof.

# Reasoning and Convincing at KS2 :

How many ways can you find to do up all four buttons on my coat? Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

There is a clock-face where the numbers have become all mixed up. How might you show them in a picture, with things, with numbers and symbols? Place four pebbles on the sand in the form of a square.

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 probblem mathematical tasks into everyday classroom practice. Can you find out where all the numbers have got to from these ten statements?

The discs for this game are kept in a flat square box with a square hole for each. Have a go at balancing this equation. Put operations signs between the numbers 3 4 5 6 to make the highest possible number and nubmer possible number. This gives opportunities for different approaches.

## Patterns and Sequences KS2

Register for our mailing list. What happens when you enter different numbers? How could you put these three beads into bags? Highest and Lowest Age 7 to 11 Challenge Level: Build it Up Age 7 to 11 Challenge Level: In this activity, the computer chooses a times table pfoblem shifts it.

## Working Systematically at KS2

How did he do it? Can you find some more abundant numbers? Age 7 to 11 Challenge Level: Investigate this balance which is marked in halves.

Four-digit Targets Age 7 to 11 Challenge Level: This challenge is a game for two players. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down? What fraction of the piece of paper is the small triangle?

Who said that adding, subtracting, multiplying and dividing couldn’t be fun? In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers.